What is the solution to the equation 7(a-10)=13-2(2a+3)?
26
O a=11
O a=7
89
O a = 11
O a=621

Answers

Answer 1

Answer:

[tex]a = 7[/tex]

Step-by-step explanation:

[tex]1. \: 7a - 70 = 13 - 4a - 6 \\ 2. \: 7a - 70 = - 4a + 7 \\ 3. \: 7a = - 4a + 7 + 70 \\ 4. \: 7a = - 4a + 77 \\ 5. \: 7a + 4a = 77 \\ 6. \: 11a = 77 \\ 7. \: a = \frac{77}{11} \\ 8. \: a = 7[/tex]


Related Questions

How do I do this? The question is in the picture.

Answers

Answer:

Step-by-step explanation:

Math: Evaluating a piece wise function...help!

Answers

The values of the functions are g(-0.5) = -1, g(0.3) = 0 and g(0.5) = 1

How to evaluate the piece wise function?

The function is given as:

[tex]g(x) = \left[\begin{array}{cc}-2&-2.5 < x \le -1.5\\-1&-1.5 < x \le -0.5\\0&-0.5 < x < 0.5&1&0.5 \le x < 1.5\end{array}\right[/tex]

To calculate g(-0.5), we make use of the domain -1.5 < x ≤ -0.5

At this domain;

g(x) = -1

So, the value of g(-0.5) is

g(-0.5) = -1

To calculate g(0.3), we make use of the domain -0.5 < x  0.5

At this domain;

g(x) = 0

So, the value of g(0.3) is

g(0.3) = 0

To calculate g(0.5), we make use of the domain 0.5 ≤ x  1.5

At this domain;

g(x) = 1

So, the value of g(0.5) is

g(0.5) = 1

Hence, the values of the functions are g(-0.5) = -1, g(0.3) = 0 and g(0.5) = 1

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Consider the following loan. Complete parts (a)-(c) below
An individual borrowed $88,000 at an APR of 6%, which will be paid off with monthly payments of $667 for 18 years.
a. Identify the amount borrowed, the annual interest rate, the number of payments per year, the loan term, and the payment amount.
The amount borrowed is $, the annual interest rate is%, the number of payments per year is the loan term is years, and the payment amount is $

Answers

The complete statements are mathematically given as

the amount borrowed= 88000the annual interest rate= 6%the number of payments per year= 12The loan term= 18the payment amount.=8004

What is the amount borrowed, the annual interest rate, the number of payments per year, the loan term, and the payment amount.?

Generally,  The transfer of money, products, or services in return for other goods and services in proportions that have been previously agreed upon and deemed acceptable is what is meant by the term "payment."

In conclusion, the amount borrowed= 88000

the annual interest rate= 6%

the number of payments per year= 12

The loan term= 18

the payment amount.=667*12

the payment amount.=8004

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Construct a polynomial function with the following properties fifth degree, 3 is a zero of multiplicity 3, - 4 is the only other zero, leading coefficient is 3

Answers

The polynomial function with the given properties is; y = 2(x - 3)³(x + 4)²

How to construct polynomial functions?

Polynomials are defined as algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

We need to form a polynomial expression with the following properties;

fifth-degree, 3 is a zero of multiplicity 3, −4 is the only other zero and ,the leading coefficient is 3. Thus, the polynomial will be;

y = 2(x - 3)³(x + 4)²

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if f(x)=5^2x-2 and g(x)=x+1, find (f-g) (x)

Answers

The function  (f-g) (x) is represented as 5^2x - 3 - x .

What is a function?

The function is a type of relation, or rule, that maps one input to specific single output.

Given;

f(x)=5^2x-2

g(x)=x+1

Then, the function

(f-g) (x) = 5^2x-2  - (x+1)

Distribute the negative;

(f-g) (x) = 5^2x-2  - x - 1

(f-g) (x) = 5^2x - 3  - x

Hence, the function  (f-g) (x) is represented as 5^2x - 3 - x .

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The United States Postal Service reports that 90% of first-class mail within the same city is delivered in two days of the time of mailing. Ten letters are randomly sent to different locations. a. What is the probability that all 10 will arrive within two days? b. What is the probability that exactly 8 will arrive within two days? c. What is the probability that 5 or fewer will arrive within two days? d. What is the mean number of letters that will arrive within two days? e. What is the standard deviation of the number of letters that will arrive within two days?

Answers

a)The probability that all 10 will arrive within two days is 0.3486.

b)  P(x = 8) = 0.1937

c)  P(x=5)= 0.0014

d)  mean = 9

e) Standard deviation = √0.90 = 0.9486

What is Binomial Probability?

The binomial distribution model allows us to compute the probability of observing a specified number of "successes" when the process is repeated a specific number of times and the outcome for a given patient is either a success or a failure.

Given:

p = 90/100 = 0.90

q(probability of success) = 1 - p = 1 - 0.90 = 0.10

n = 10

a)The probability that all 10 will arrive within two days

P(x = 10) = 0.3486

b) P(x = 8) = 0.1937

c) P(x=5)= 0.0014

d) mean = np = 10 × 0.90 = 9

e) Variance = npq = 10 × 0.90 × 0.10 = 0.90

Standard deviation = √0.90 = 0.9486

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What would the following figure look like after a reflection in a horizontal mirror, followed by a rotation 90 degrees counterclockwise?

Answers

Answer:

Step-by-step explanation:

To rotate any figure we have to have the CENTER of rotation!!!!

You did not provide us (your helpers) with that point, so I chose point on the horizontal mirror.

Which of the following expressions are equal to -8/11 - 3/4 - 1/4

Answers

In the expressions that we are given, we can note that there is a negative in all of them. This means that we can factor out the negative.

With the negative factored out, it will look like this: [tex]-(\frac{8}{11} + \frac{3}{4} + \frac{1}{4} )[/tex]
The reasoning for this is because you distribute the negative to each term. For example 8/11 is a term, and so is 3/4, and 1/4. So our first answer is D.

Another way we can do this is by combining like terms. We see that in the denominator for -3/4 and -1/4 they both share 4. We can combine it so it becomes -4/4 or -1. It would be E.

The third way
we can do this is by rewriting it. Answer A rewrites it so that it is + -, effectively just -. This allows us to treat the equation as if it were the original one.

Hopefully this helps you out, brainliest would help me out.
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A ​20-ft by ​the 40-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 256 ft2​, how wide is the​ walkway?

Answers

Answer:  2 feet

========================================================

Explanation:

x = width of the walkway in feet

This is some positive real number.

The dimension of 20 feet bumps up to 20+2x when adding on x from both directions. Similarly, the 40 ft dimension becomes 40+2x

Refer to the diagram below.

The 20 ft by 40 ft pool is surrounded by a larger rectangle that is 20+2x ft by 40+2x ft

The pool itself is 20*40 = 800 sq ft. Add on the walkway area to get 800+256 = 1056 sq ft.

-----------

Area = length*width

1056 = (20+2x)*(40+2x)

1056 = 20*40 + 20*2x + 2x*40 + 2x*2x ... FOIL rule

1056 = 800 + 40x + 80x + 4x^2

0 = 4x^2 + 40x + 80x + 800 - 1056

0 = 4x^2 + 120x - 256

4x^2 + 120x -  256 = 0

4(x^2 + 30x - 64) = 0

x^2 + 30x - 64 = 0

Let's use the quadratic formula to finish solving for x.

Plug in a = 1, b = 30, c = -64

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-30\pm\sqrt{(30)^2-4(1)(-64)}}{2(1)}\\\\x = \frac{-30\pm\sqrt{1156}}{2}\\\\x = \frac{-30\pm34}{2}\\\\x = \frac{-30+34}{2} \ \text{ or } \ x = \frac{-30-34}{2}\\\\x = \frac{4}{2} \ \text{ or } \ x = \frac{-64}{2}\\\\x = 2 \ \text{ or } \ x = -32\\\\[/tex]

Recall we made x be positive. This is because a negative walkway width does not make sense. This means we'll ignore x = -32.

The only practical solution is x = 2

Therefore, the walkway is 2 feet wide

Michael went to the game store there was so much games he wanted and if one of them was $42.29 and the other one was $87.99 and he had $142 how much would he have left ​

Answers

Answer:

$11.72

Step-by-step explanation:

Add: $42.29 + $87.99 = $130.28

Subtract: $142 - $130.28 = $11.72

Answer:

he would have spent 131.08 dollars meaning he has 11.72 dollars left.

Step-by-step explanation:

One person ran 4 miles in 24 minutes. At this rate, how long would it take to run 26 miles?

Answers

The answer is 156 minutes.

If it takes them 24 minutes to run 4 miles, to find the minutes it takes to run 1 mile divide 4 by 24. This comes out to 6 minutes to run 1 mile. Then just multiple 6 minutes by 26 miles to get 156 minutes.

What is the value of h?

Answers

Answer:

h=-2

Step-by-step explanation:

the graph was shifted 2 units left

Divide.

74.48 ÷ 7.6

Enter your answer as a decimal in the box.

Answers

If you put in 74.48 divided by 7.6 the answer comes up as 9.8
9.8 should be your answer

the perimeter of a rectangle is 70 cm . if the ratio of the width to the length is 2:5 what is the width ?

Answers

Answer:

width = 10 cm

Step-by-step explanation:

the ratio of width to length is 2 : 5 = 2x : 5x ( x is a multiplier )

the perimeter (P) of a rectangle is calculated as

P = 2 × width + 2 × length

given P = 70 then

2(2x) + 2(5x) = 70

4x + 10x = 70

14x = 70 ( divide both sides by 14 )

x = 5

Then

width = 2x = 2 × 5 = 10 cm and length = 5x = 5 × 5 = 25 cm

Above is right thinkso



Thanks

If P(n) and Q(n) are polynomials of degree j and k, respectively, then the series
Infinite
Σ P(n)/Q(n)
n=1
converges if j < k − 1 and diverges if j ≥ k – 1.
Use the polynomial test given above to determine whether the series converges or diverges.
Infinite
Σ 1/(n)^8 +7
n=1
O converges
Odiverges

Answers

Answer:

converges

Step-by-step explanation:

well the two polynomials in the series are 1 and n^8 (I'm assuming the +7 is not in the decimal but it seems to not matter). The degree of the polynomial 1 is 0 which can be represented by 1x^0. The second polynomial in the denominator has a degree of 8. So j = 0  and k = 8. Since 0 < (8-1)

0 < 7 the series converges

Consider a triangle ABC like the one below. Suppose that B=129°, a=7, and c=42. (The figure is not drawn to scale.) Solve the triangle.
Carry your intermediate computations to at least four decimal places, and round your answers to the nearest tenth.
If there is more than one solution, use the button labeled "or".
4-C-b-0
DOD
X
No
solution
5
?

Answers

The angles are: A =24.7° ; B = 40.6° ; C =114.7°.

What is Cosine law?

The law of cosine helps in establishing a relationship between the lengths of sides of a triangle and the cosine of its angles. The cosine law in trigonometry generalizes the Pythagoras theorem, which applies to a right triangle.

Cosine Law

a² = b²+c²-2bc cos A

b² = c²+a² -2ca cos B

Sum of three angles of a triangle is 180°.

a = 34 ; b= 53; c = 74

Substituting the given values in the cosine law, we have

34² = 53² + 74² - 2*53 *74 * cos A

7844 cos A = 2809 + 5476 - 1156 = 7129

cos A = 7129/7844 = 0.9088

A = cos⁻¹ (0.9088) = 24.6600° = 24.7°

53² = 74² + 34² - 2 (74)(34) cos B

5032 cos B = 5476 + 1156 - 2809 = 3823

cos B = 3823/5032 = 0.7597

B = cos⁻¹ (0.7597) = 40.5622° = 40.6°

Also, A + B + C = 180°

24.7 + 40.6 + C =180

C =180 -  65.3 = 114.7°

Thus, the angles are: A =24.7° ; B = 40.6° ; C =114.7°

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determine whether each pair of lines is perpendicular parallel or neither

Answers

Answer:

1st set of equations - parallel

2nd set - perpendicular

3rd set - neither

Step-by-step explanation:

First set:

simplify the equation for line 1  by dividing by -4: y = 0.5x + 1

simplify the equation for line 1  by dividing by -6: y = 0.5x - 1.5

Both have the same slope: 0.5 so the lines are parallel.

Second set:

simplify the equation for line 1  by dividing by 3: y = -2/3x + 4

simplify the equation for line 1  by dividing by -4: y = 3/2x - 7/4

-2/3 * 3/2 = -1, so the lines are perpendicular

Third set

simplify the equation for line 1  by dividing by 1/2: y = -2x+4

simplify the equation for line 1  by dividing by 2: y = -1/4x +2

-2x+4=-0.25x+2

-2x+0.25x=2-4

-1.75x=-2

x=1.14

y=-2(1.14)+4 = 1.7143. So there is an intersection point

The pair of lines 2x - 4y = -4 & 3x - 6y = 9, 2x + 3y = 12 & and 6x - 4y = 7, and x + (1/2)y = 2 & (1/2)x + 2y = 4 will be parallel lines, perpendicular lines, and neither parallel nor perpendicular, respectively.

What is a linear equation?

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The pair of lines is given as,

2x - 4y = -4     ⇒        y = (1/2)x + 1

3x - 6y = 9      ⇒        y = (1/2)x - 3/2

The pair of lines are parallel to each other because the slope is equal.

2x + 3y = 12     ⇒        y = -(2/3)x + 4

6x - 4y = 7       ⇒        y = (3/2) x - 7/4

The pair of lines are parallel to each other because the product of slopes is -1.

x + (1/2)y = 2        ⇒        2x + y = 4

(1/2)x + 2y = 4      ⇒        2x + 4y = 8

The pair of lines are neither parallel nor perpendicular to each other.

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Select the correct answer. Which set of vertices forms a parallelogram? OA A2,4), B(3, 3), C6, 4), D(5, 6) OB. A(-1, 1), B(2, 2), C(5, 1), D(4, 1) OC. A(-5, -2), B(-3, 3), C3, 5), D(1, 0) OD. A(-1, 2), B(1, 3), C5, 3), D(1, 1).​

Answers

Answer:

(6,4)

Step-by-step explanation:

^^^

Which functions have a vertex with a x-value of 0? Select three options.

f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6

Answers

Answer:

f(x) = |x|f(x) = |x| + 3f(x) = |x| − 6

Answer:

A,B,D

Step-by-step explanation:

-0.38 written as a fraction is

Answers

-19/50 maybe??

I did -0.38= -38/100… and now in explaining it I have no clue how I got that answer but ye…

Need help, can't figure this one out:

Find the perimeter of the following rectilinear figure.

Answers

The perimeter of the following rectilinear figure is 54 units.

What is Perimeter ?

Perimeter of a figure is the distance covered when a person walk one round across its edges .

The given figure is in the form of a rectangle ,

The perimeter is equal to the sum of all sides ,

The bottom base is 13 includes (base of the small extended figure )

The left side is 14(includes left side of the small extended figure)

The right side is 10+5+4 (includes right side of the small extended figure)

The top is 8

Therefore the perimeter is 13+14+10+5+4+8 = 54 units

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Which is the graph of f,(x) = 0.5(4)*

Answers

I assume you meant [tex]f(x)=0.5(4)^{x}[/tex]. The graph is shown below.

8(w-5)=16 solve for w please give working out

Answers

The answer is 7 according

The perimeter of an equilateral triangle is 9x + 3, this is greater than the perimeter of a
regular pentagon which is 10x - 5.
Write down an inequality to represent this information.

Answers

Answer:

x < 8

Step-by-step explanation:

9x + 3 > 10x - 5

9x - 10x > -5 - 3

-x > -8

x < 8

A water sprinkler sends water out in a circular pattern. How large is the watered area if the radius of the watering pattern is 3 feet?

Use 3.14 for pi.

Answers

Answer:

28.26 feet squared

Explanation:

Area of circle is determined by : π(radius)²

Here given:

π = 3.14radius = 3 feet

Solve for area:

π(radius)²3.14(3)²28.26 feet²

Answer:

28.26 feet squared

Step-by-step explanation:

Radius of the watering pattern = 3 feet

Area = π r²

= 3.14 × 3²

= 28.26 feet squared

In a random sample of 250 students, 150 were in favor of longer hours at the school library. At 98% level of confidence, what is the margin of error?

Select one:

0.051


0.080


0.065


0.072


0.078


0.061

Answers

0.072 is the margin of error.

What is standard error?

The standard error (SE) of a statistic is the standard deviation of its sampling distribution or an estimate of that standard deviation.

According to the question,

In a random sample of 250 students,

p= 0.98 (or 98%) were in favor of longer hours at the school library.

The standard error of p(the sample proportion) is (approximately)

The standard error of p =   [tex]\sqrt{\frac{p(1-p)}{n} }[/tex]

p = 0.98

1 - p = 1 - 0.98 = 0.02

Here,

n = 250

The standard error of p =   [tex]\sqrt{ \frac{0.98 (0.02) }{250}[/tex]

The standard error of p ≈   0.072

Therefore,

The margin of error is 0.072.

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Can someone check whether its correct or no? this is supposed to be the steps in integration by parts​

Answers

Answer:

[tex]\displaystyle - \int \dfrac{\sin(2x)}{e^{2x}}\: \text{d}x=\dfrac{\sin(2x)}{4e^{2x}}+\dfrac{\cos(2x)}{4e^{2x}}+\text{C}[/tex]

Step-by-step explanation:

Fundamental Theorem of Calculus

[tex]\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))[/tex]

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given integral:

[tex]\displaystyle -\int \dfrac{\sin(2x)}{e^{2x}}\:\text{d}x[/tex]

[tex]\textsf{Rewrite }\dfrac{1}{e^{2x}} \textsf{ as }e^{-2x} \textsf{ and bring the negative inside the integral}:[/tex]

[tex]\implies \displaystyle \int -e^{-2x}\sin(2x)\:\text{d}x[/tex]

Use integration by parts.

[tex]\boxed{\begin{minipage}{5 cm}\underline{Integration by parts} \\\\$\displaystyle \int u \dfrac{\text{d}v}{\text{d}x}\:\text{d}x=uv-\int v\: \dfrac{\text{d}u}{\text{d}x}\:\text{d}x$ \\ \end{minipage}}[/tex]

[tex]\textsf{Let }\:u=\sin (2x) \implies \dfrac{\text{d}u}{\text{d}x}=2 \cos (2x)[/tex]

[tex]\textsf{Let }\:\dfrac{\text{d}v}{\text{d}x}=-e^{-2x} \implies v=\dfrac{1}{2}e^{-2x}[/tex]

Substituting the defined parts into the formula:

[tex]\begin{aligned}\implies \displaystyle -\int e^{-2x}\sin(2x)\:\text{d}x & =\dfrac{1}{2}e^{-2x}\sin (2x)- \int \dfrac{1}{2}e^{-2x} \cdot 2 \cos (2x)\:\text{d}x\\\\& =\dfrac{1}{2}e^{-2x}\sin (2x)- \int e^{-2x} \cos (2x)\:\text{d}x\end{aligned}[/tex]

[tex]\displaystyle \textsf{For }\:-\int e^{-2x} \cos (2x)\:\text{d}x \quad \textsf{integrate by parts}:[/tex]

[tex]\textsf{Let }\:u=\cos(2x) \implies \dfrac{\text{d}u}{\text{d}x}=-2 \sin(2x)[/tex]

[tex]\textsf{Let }\:\dfrac{\text{d}v}{\text{d}x}=-e^{-2x} \implies v=\dfrac{1}{2}e^{-2x}[/tex]

[tex]\begin{aligned}\implies \displaystyle -\int e^{-2x}\cos(2x)\:\text{d}x & =\dfrac{1}{2}e^{-2x}\cos(2x)- \int \dfrac{1}{2}e^{-2x} \cdot -2 \sin(2x)\:\text{d}x\\\\& =\dfrac{1}{2}e^{-2x}\cos(2x)+ \int e^{-2x} \sin(2x)\:\text{d}x\end{aligned}[/tex]

Therefore:

[tex]\implies \displaystyle -\int e^{-2x}\sin(2x)\:\text{d}x =\dfrac{1}{2}e^{-2x}\sin (2x) +\dfrac{1}{2}e^{-2x}\cos(2x)+ \int e^{-2x} \sin(2x)\:\text{d}x[/tex]

[tex]\textsf{Subtract }\: \displaystyle \int e^{-2x}\sin(2x)\:\text{d}x \quad \textsf{from both sides and add the constant C}:[/tex]

[tex]\implies \displaystyle -2\int e^{-2x}\sin(2x)\:\text{d}x =\dfrac{1}{2}e^{-2x}\sin (2x) +\dfrac{1}{2}e^{-2x}\cos(2x)+\text{C}[/tex]

Divide both sides by 2:

[tex]\implies \displaystyle -\int e^{-2x}\sin(2x)\:\text{d}x =\dfrac{1}{4}e^{-2x}\sin (2x) +\dfrac{1}{4}e^{-2x}\cos(2x)+\text{C}[/tex]

Rewrite in the same format as the given integral:

[tex]\displaystyle \implies - \int \dfrac{\sin(2x)}{e^{2x}}\: \text{d}x=\dfrac{\sin(2x)}{4e^{2x}}+\dfrac{\cos(2x)}{4e^{2x}}+\text{C}[/tex]

Differentiation Rules used:

[tex]\boxed{\begin{minipage}{5.7 cm}\underline{Differentiating $\sin(k)$}\\\\If $y=\sin(kx)$, then $\dfrac{\text{d}y}{\text{d}x}=k\cos(kx)$\\\end{minipage}}[/tex]

[tex]\boxed{\begin{minipage}{5.7 cm}\underline{Differentiating $\cos(k)$}\\\\If $y=\cos(kx)$, then $\dfrac{\text{d}y}{\text{d}x}=-k\sin(kx)$\\\end{minipage}}[/tex]

Integration Rules used:

[tex]\boxed{\begin{minipage}{4 cm}\underline{Integrating $e^{kx}$}\\\\$\displaystyle \int e^{kx}\:\text{d}x=\dfrac{1}{k}e^{kx}+\text{C}$\end{minipage}}[/tex]

1. A water tank measuring 80 cm by 40 cm by 30 cm is completely filled with water. Water flows out of the tank at a rate of 4 per minute. At this rate, how long will the tank be completely drained out of water? 80 cm 40 cm 30 cm 1. A water tank measuring 80 cm by 40 cm by 30 cm is completely filled with water . Water flows out of the tank at a rate of 4 per minute . At this rate , how long will the tank be completely drained out of water ? 80 cm 40 cm 30 cm​

Answers

Answer:

6.34 min to empty

Step-by-step explanation:

80 cm x 40 cm x 30 cm = 96000 cm^3

  this volume represents  25.36 gallons of water (US)

25.36 gal / 4 gal/min = 6.34 min  to empty

HELP THIS IS URGENT WILL GIVE BRANLIEST ANSWER 3 AND 6

Answers

awnser is c because i just did it

If “a” is a non zero constant, what is the maximum number of turns for the graph of
y = x³ + ax² - 7x+10

Answers

The maximum number of turns for the graph given by the function is; 2.

What is the maximum number of turns for the graph?

It follows from the task content that the graph given is that of a cubic function. On this note, it follows that the graph has 2 turning points.

This follows from the fact that the degree of the polynomial is 3 and hence, the maximum number of turns on the graph is 2.

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Other Questions
The ______________ ________________ Hypothesis claims that the descendants of Noah used technology learned from building the ark to cross from Asia to the Americas. Jarred sells DVDs. His inventory shows that he has a total of 3,500 DVDs. He has 2,342 more contemporary titles than classic titles. Let x represent the number of contemporary titles and y represent the number of classic titles. The system of equations models the given information for both types of DVDs.x + y = 3,500x y = 2,342 What does the text suggest about the values of theanimals on Animal Farm in the beginning? Select twooptions.The animals value a profit.The animals value freedom.Theanimals value nonconfrontation.The animals value humans.. Theanimals value trading. If a government spends less money than it brings in through taxes in oneyear, that government has aOA. budget deficitOB. budget surplusOC. discretionary budgetOD. mandatory budget If 19.4 mL of a Ca(OH) solution are needed to neutralize 31.5 mL of 0.1 M HCH302 solution, what is the concentration (molarity) of theCa(OH) solution?Select one:O a. 0.009 MO b. 1.6 MOC 0.08 MO d. 0.1 M In the homecoming game, the field goal kicker attempts to make a 47 yard (43 m) field goal. He kicks with an initial velocity of 20 m/s at an angle of 60 The field goal posts are 3 m high. Does he make the field goal? Explain your answer. Can someone answer this as soon as possible. There are 12 ducks and 11 geese in a certain park. Find the ratio of geese to ducks. complete the sentence: primary consumers receive about _________ of the energy available in biomass from producers. A. 100 percent B. 50 percent C. 35 percent D. 10 percent WILL GIVE BRAINLIEST!!!! *20 points* Polygon C and polygon D are similar. The perimeter of polygon C is 60 inches,and the perimeter of polygon Dis 12 inches. If one side of polygon C is 4inches, what is the length of the corresponding side in polygon D?A. 0.3 inOB. 20 inOC. 4 inOD. 16 ink Which frequency will 802.11n work on if on a single-link network? What does the word embraced in this sentence from Paragraph 5 explain about voters?Voters feel empowered because they embraced the electoral process.Voters feel an especially strong bond with other people who have voted.Voters enjoy voting along with their loved ones because it makes them feel closer.Accepting the voting process wholeheartedly makes voters feel better about themselves.Some voters come to view voting not just as a duty fulfilled, but as a recreation.A Right and a ResponsibilityWhat does it mean to vote? If you are of age, voting is exercising your right to determine how and who will make laws and enforce those laws on your behalf. When you vote, you determine who has a say-so in the use of tax dollars you contribute to the general welfare of the citizens of your town, county, state, and nation. Voting is not only a right, it is also a responsibility. Voting is a powerful tool that people can use to the benefit or detriment of others.The Constitution of the United States did not originally define who had the right to vote. That determination was left up to the states, and in the majority of states at that time, only white male property owners had the right to vote. Women, people of color, and white males who did not own property had no say-so in the election of government officials. Not all voting rules were the same throughout the states, however, so this made for an interesting electorate. For example, in New Jersey, a white woman could vote if she owned property, and in some northern states, free men of color could vote. Luckily, the framers of the Constitution had the foresight to build into it a means to rectify unjust situations by allowing for the addition of amendments, or additions, to the Constitution. Through amendments, women and free people of color were eventually guaranteed the right to vote.If voting is such a powerful tool, why is there such appalling voter turnout in many elections? People think their vote doesnt count or doesnt matter. Long lines of voters at the polls before sunrise are typical only of big elections, such as the election of a senator or representative to serve in the federal government or the election of a president for the country. But it is the off-year elections, those smaller elections for local and state offices, that should matter most. For the vast majority of the population, the local elections are the ones that touch their everyday lives. It is in these elections that people decide who runs the local school boards, who makes the rules and regulations governing behavior and activities in their locality, and who will judge the population in the local courts. There also may be issues on the ballot that will affect their daily lives that have nothing to do with who the candidate is, but actions will be taken (or not) that will affect them. When a candidate is elected, he or she feels a mandate has been given by the electorate to fulfill promises made to get into office.Who is voting? In some studies and polls, the most active voters are usually more educated and more involved with their communities. This electorate knows the issues and problems, and knows who can and cannot help make the communities better. They read more, listen to others opinions more, and make a decision based on the track record of the person running. They understand that voting is a learned activity, and they want to help those in their communities who do not understand the importance of voting to better understand the process. They get involved with the populace, teaching them the requirements for voting, such as finding the polling place, numbers to call for help, learning their voting optionssuch as early or electronic votingand teaching them the impact voting will have on the issues that they are concerned about.What are other benefits of voting? Some studies have shown that voting can have a psychological effect on the voter. Voters feel empowered because they embraced the electoral process. It gives the participant a sense of satisfaction, almost like saying, I made my voice heard today. I voted. Voting also benefits future generations when children see their parents and other responsible adults exercising their constitutional right to vote and be heard. Voting addresses the future needs of coming generations because the policies put into place by the elected officials will affect lives now and in the future. Low voter turnout in a country that guarantees every eligible citizen over the age of eighteen the right to vote is unacceptable. Every election you are eligible to vote in commands your participation. Make your voice heard. Dont hesitate. Vote! An imaginary element, Y, has two different isotopes.y has a percentage abundance of 25% and 29y has a percentage abundance of75%.Which of the following is the relative atomic mass of Y?26252728 You are a Junior IT Technician in your organisation. One of the duties is to demonstrate and explain how the computer works to new intern stuff. Discuss how you would demonstrate and explain? Why did the Aboriginals stop coming to North America? Which of the following is a slow rise of plastic deformation under the action of shear stresses when it is below the yield strength of the material.a.Brittle Structureb.Ductile fracturec.Creepd.Fatigue Most enlightened despots:A) were tried and executed.B) censored the ideas of the philosophers.C) showed interest in the ideas of the philosophers.D) successfully implemented most of the ideas of the philosophers. if n 18 = find n Need help simple explanation if possible