Write the factored form of the polynomial function with real coefficients, a lead coefficient of 1, and zeros
of -3, -3, 4, and 2.
y(x) =

Answer:

Rectilíneo generalmente indica una figura representativa de hacer una línea recta oa lo largo de una línea recta o en una línea recta. En términos matemáticos, es una figura plana delimitada por segmentos de línea. En otras palabras, una figura plana totalmente compuesta de segmentos de línea se conoce como figura rectilínea. Ahora bien, si te preguntas ¿qué es una figura plana? Entonces, sepa que cuando ponemos la punta de un lápiz en una hoja de papel y nos movemos de un punto a otro, sin levantar el lápiz, entonces las formas que se forman son lo que llamamos curvas planas.

The inverse of g(5) and the inverse of h(x) are 2 and [tex]h^{-1}=\frac{-x-13}{4}[/tex] respectively

Inverse of a function

Given the following coordinates and function

g = {(-6, -5), (2, 5), (5,6), (6,9)}

The inverse of "g" is determined by switching the coordinates to have:

g^-1(x) =  {(-5, -6), (5, 2), (6, 5), (9,6)}

Since the value of the y-coordinate when x = 5 is 2, hence g^-1(5) = 2

Given the function expressed as:

h(x) = -4x - 13

y = -4x - 13

Replace y with x

x = -4y - 13

4y = -x - 13

y = (-x-13)/4

[tex]h^{-1}=\frac{-x-13}{4}[/tex]

Determine the composite function [tex](hoh^{-1})(-1)[/tex]

h(h(x)) = h(-4x-13)
h(h(x)) =[tex]\frac{-(-4x-13)-13}{4} \\[/tex]

[tex]h(h(x))=\frac{4x}{4} \\h(h(x)) = x\\h(h(-1)) = -1[/tex]

Learn more on composite function here: https://brainly.com/question/10687170

#SPJ1

Answer:

B

Step-by-step explanation:

= (7x+1) • (8x)

= 56x^2 + 8x

The function g(x) is derived by translating the function by the three units, according to the graph.The equation for the red graph will be,g(x) = x²+3

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

From the graph, it is obtained that the function g(x) is obtained by translating the function by the three units.

Hence,the equation for the red graph will be,g(x) = x²+3

To learn more about the graph, refer to the link;

https://brainly.com/question/14375099

#SPJ1

Answer:

[tex]1.3\cdot 10^3\text{ J}[/tex]

Step-by-step explanation:

Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:

[tex]W=Fd[/tex], where F = force applied and d = distance that force is applied over.

*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.

In this case, the force applied must counter the force of gravity on Martha, which is given by [tex]F_g=mg[/tex], where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore, [tex]F_g=75\cdot 9.8=735\text{ N}[/tex]. Since she raises her body 4.0 meters, the work done must be [tex]W=Fd=735\cdot 4=2940\text{ J}[/tex].

Since power is equal to work over time and t = 2.3 seconds, we have:

[tex]\displaystyle P=\frac{W}{t}=\frac{2940}{2.3}=\boxed{1278\text{ J}}\approx \boxed{1.3\cdot 10^3\text{ J}}[/tex] (to two significant figures)

Answer:

[tex]3 \sqrt{5} [/tex]

Step-by-step explanation:

[tex] \sqrt{ {( - 4 - 2)}^{2} + {(2 - ( - 1))}^{2} } = \sqrt{45} = 3 \sqrt{5} [/tex]

Answer:

Step-by-step explanation:

1/8

The total number of cups in the package is 2300.

Percentage can be calculated by dividing the value by the total value, and then multiplying the result by 100.

Here,

Let the total number of cups in the package be x.

Number of green cup = 690

Weightage of green cup in total = 30%

Now,

30% of x = 690

30/100 X x = 690

x = 690 X 100/30

x = 23 X 100

x = 2300

Thus, the total number of cups in the package is 2300.

Learn more about Percentage from:

https://brainly.com/question/14979505

#SPJ1

The method for calculating how many arrangements are feasible when only a few items are chosen from a collection of items that are unique is as follows:

[tex]^nC_k=\frac{n!}{k!(n-k)!}[/tex]

Where:

n – the sum of all the elements of a set

k – the number of selected objects (the order of the object may change)

! – factorial

For instance, 3!=1×2×3

So, according to the problem, there are [tex]^7C_3[/tex] possible groups of 3 women out of 7 women. And [tex]^5C_2[/tex] possible groups of 2 men out of 5 men.

Combining we get that there are [tex]^7C_3 ~^5C2[/tex] groups of 3 women and 2 men out of 7 women and 5 men.

Therefore, there are [tex]^7C_3 ~^5C2=\frac{7!}{3!4!}\frac{5!}{2!3!}= 350[/tex] possibilities.

Learn more about combinations here-

brainly.com/question/13387529

#SPJ10

Answer:

[tex]\boxed {\frac{343}{360}}[/tex]

Step-by-step explanation:

Probability Rule :

[tex]\boxed {P(A\cup B \cup C) = P(A) + P(B) + P(C) - P(A \cap B \cap C)}[/tex]

Solving :

⇒ 3/5 = 3/8 + 5/15 + 4/9 - P (A ∩ B ∩ C)

⇒ P (A ∩ B ∩ C) = 3/8 + 1/3 + 4/9 - 1/5

⇒ P (A ∩ B ∩ C) = 135/360 + 120/360 + 160/360 - 72/360

⇒ P (A ∩ B ∩ C) = (135 + 120 + 160 - 72) / 360

⇒ P (A ∩ B ∩ C) = 343/360

Answer:

Step-by-step explanation:

Comment

If 4 numbers have an average of 9, then total of the 4 numbers is 4 * 9 = 36.

If one of the 4 numbers is  a 7, then

7 + x = 36 where x is the sum of the other 3 numbers.

7 + x = 36           Subtract 7 from both sides

7- 7 +x = 36 - 7

x = 29

Answer 29

the slope intercept form of the given points is  y = 2/3 (x-3).

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point. A straight line does not have any curve in it.

Here, given passing points

(3, 0) and (6, 2)

We know that,

    (y - y₁) = (y₂-y₁)/(x₂-x₁) (x - x₁)

  (y - 0) = (2-0)/(6-3) (x-3)

    y = 2/3 (x-3)

Thus, the slope intercept form of the given points is  y = 2/3 (x-3).

Learn more about Straight line from:

https://brainly.com/question/27560536

#SPJ1

An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal. The number of term 107 is 17th.

What is Arithmetic Sequence?

An arithmetic sequence is a sequence in which the difference between any two consecutive terms of the sequence is equal.

a_n = a₁ + (n-1)r

where,

a_n is the nth term of the sequence,

a₁ is the first term of the sequence,

r is a common difference between every two terms.

Given the formula for the nth term of the arithmetic sequence is,

[tex]a_n = 11+6(n-1)[/tex]

Now, the number of term that 107 will be,

107 = 11 + 6(n-1)

96 = 6(n-1)

16 = n- 1

n =17

Hence, the number of term that 107 is 17.

Learn more about Arithmetic Sequence:

https://brainly.com/question/15412619

#SPJ1

Answer:

there is no answer

Step-by-step explanation:

If you multiply 15^x by 15^y, the answer is 15^(x+y) so 2 plus -7 is negitive 5.

but there is no answer equal to this.

The equivalent expression will be;

⇒ 15⁻⁵

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ (15²) × (15⁻⁷)

Now,

Since, The expression is,

⇒ (15²) × (15⁻⁷)

Hence, We solve as;

⇒ (15²) × (15⁻⁷)

⇒  15²⁻⁷

⇒ 15⁻⁵

⇒ 1 / 15⁵

Thus, The equivalent expression is,

⇒ 15⁻⁵

⇒ 1 / 15⁵

Learn more about the subtraction visit;

https://brainly.com/question/17301989

#SPJ2

Arturo receives $90 more in the first week of work than the second.

The time a person spends engaged in compensated work is referred to as working time.

Given,

First Week Working hours = 40 hours,    per hour rate = $12

The second-week working hours = 30,   per hour rate = $13 (With raise of $1)

Calculation of Wages

First Week wages = Total Weekly Hours ×  Per Hour rate

                                     = 40 × 12 =$480

Second Week wages = Total Weekly Hours ×  Per Hour rate

                                    = 30 × 13 =$390

The difference between the First week's wages and the Second week's wages is $90 ($480 - $390).      

Thus, Arturo earn $90 more in the first week as compared to the second week.

Learn more about Worked Hours here:

https://brainly.com/question/16910135

#SPJ1

Answer:

24.012

Step-by-step explanation:

y=kx^2

54=81k

k=54/81

k=0.667

y=kx^2

y=0.667×36

y=24.012

its false ik this because im one of the boyzz

answer:

Now I know My ABC next time won't you sing with me.

Answer:

The total money we have to pay is $69.

Step-by-step explanation:

MARKUP is the amount added to the cost price.

MARKUP formula = 100*profit / cost

Cost of the item = $60.00

put the value in the formula

15 = 100*profit/60

profit = 60 × 15 ÷ 100 = 9

the total money  is  cost + profit

which is 60 + 9 = $69.

So the total money we have to pay is $69.

Learn more about MARKUP here - https://brainly.com/question/23665274

#SPJ10

The graph is attached with the answer, This is looking like a horizontal staircase

A step function is a piece wise function whose all pieces are horizontal line or a point.

It is given in the question to graph the interval

-2 ≤x≤2

for f(x) = |x+3|

-2    1

-1     2

0     3

1      4

2     5

The graph is attached with the answer.

This is looking like a horizontal staircase

To know more about Step Function

https://brainly.com/question/118594

#SPJ1

Answer:

A = ( -2, 1 )

B = ( 1, -1 )

[tex]\boxed{\bf x_1 : - 2}[/tex] [tex]\boxed{\bf x_2 : 1}[/tex]

[tex]\boxed{\bf y_1 : 1}[/tex] [tex]\boxed{\bf y_2 : - 1}[/tex]

______________________________

______________________________

Answer:

3x* 2x^2 +3x*5 -2 * 2x^2  -2 *5

Step-by-step explanation:

(3x-2)(2x^2+5)

We can FOIL to find the expansion

First 3x* 2x^2 = 6x^3

Outer 3x*5 = 15x

Inner -2 * 2x^2 = -4x^2

Last -2 *5 = -10

Add all the terms together

3x* 2x^2 +3x*5 -2 * 2x^2  -2 *5

Answer:

3x • 2x^2 + 3x • 5 + (–2) • 2x^2 + (–2) • 5

Step-by-step explanation:

other answer was right

Answer:

[tex]\large{\boxed{35_{10} = \sf 23_{16}}}[/tex]

Explanation:

[tex]\sf Given : 35_{10}[/tex]

Compute:

35 ÷ 16 = 2.1875 = 2R3

2 ÷ 16 = 0.125 = 0R2

Jot down the remainders:

======

[tex]\sf Answer : \ 35_{10} = 23_{16}[/tex]

[tex]\hrulefill[/tex]

Let's look at another example:  [tex]\sf 325_{10} = [?]_{16}[/tex]

Compute:

325 ÷ 16 = 20.3125 = 20R5

20 ÷ 16 = 1.25 = 1R4

1 ÷ 16 = 0.0625 = 0R1

Jot down remainders:

=====

[tex]\sf 325_{10} = [145]_{16}[/tex]

[tex]\hrulefill[/tex]

Another example: [tex]\sf 500_{10} = [?]_{15}[/tex]

Compute:

500 ÷ 15 = 33.33... = 33R5

33 ÷ 15 = 2.2 = 2R3

2 ÷ 15 = 0.13... = 0R2

Jot down remainders:

=====

[tex]\sf 500_{10} = [235]_{15}[/tex]

This is general conversation of decimal integer to hexadecimal integer

Let's check

This is in decimal form

We know the ways to convert decimal into other forms like

For third way

(2)_16 is one part

Next

3 is not divisible by 16

i.e

Hence

other part is (3)_16

Add (not general addition)

The final answer is

Both functions are increasing, but function g increases at a faster average rate.

The correct option is (C)

If the slope of a function is continuously increasing or constant in an interval, the function is known as an increasing function.

let f(x) = [tex]ab^{x} +c[/tex] and x=0 , f(0)= -10

-10=a+c

Now,

f(x) = -33/5*[tex](\frac{1}{11} )^{x}[/tex] - 17/5

f '(x)>0

So, x is increasing function.

g(x) = -18/3*[tex](\frac{1}{11} )^{x}[/tex] +2

g'(x) =-18[tex](\frac{1}{3} )^{x}[/tex]ln(1/3)

ln 1/3<0

So, g'(x)>0

So, g(x) is an increasing function.

For any x ∈ f(x) and x ∈ g(x)

Since, g increases at a faster rate.

Hence, Both functions are increasing, but function g increases at a faster.

Learn more about increasing function here:

brainly.com/question/12940982

#SPJ1

Answer: 98.5

Step-by-step explanation:

There were 942 people in total, 928 of which recognized Exxon.

So, the probability is 928/942, which is about 98.5%

The probability of random consumers knowing of exon will be 98.5%.

Probability helps us to know the chances of an event occurring.

[tex]P =\dfrac{Desired \ Outcomes}{Possible outcomes}[/tex]

Given that:-

The probability will be calculated as:-

Total consumers are 942 out of which 928 knew exon and 14 did not.

P = 928 / 942

P = 0.985

P = 98.5%

Therefore the probability of random consumers knowing of exon will be 98.5%.

Learn more about Probability:

brainly.com/question/795909

#SPJ1

A percentage is a way to describe a part of a whole. The percentile ranking of Tina's sister is higher than her.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

A.)

The percentile ranking of Tine is,

Tina's Ranking = [1 - (54/300)] × 100% = 82%

Tina's soster Ranking = [1 - (23/175)] × 100% = 86.85%

Hence, the percentile ranking of Tina's sister is higher than her.

B.) It shows that you can succeed in the graduate examination if you exceed this value.

Learn more about Percentages:

https://brainly.com/question/6972121

#SPJ1

Answer:

Given :-

Two legs of a rt. triangle : 8 and 10 respectively.

To find :-

Length of the hypotenuse

Solution :-

Using Pythagorean Theorem;

(hypotenuse)² = (8)² + (10)²

= 64 + 100

hypotenuse = √164

= 12.8 units

Answer:

12.80

Step-by-step explanation:

We have to use the Pythagoras theorem to find the value of the hypotenuse.

Let the value of the hypotenuse be c.

Let us use the below formula to find the length of the hypotenuse.

First, let us replace a and b with 8 and 10 ( the lengths of the legs of the right triangle) with a and b.

a² + b² = c²

8² + 10² = c²

64 + 100 = c²

And now let us solve the above and find the value of c.

164 = c²

√164 = c

12.80 = c

Therefore, the length of the hypotenuse is:

12.80 units

Answer:

1. This expression has 3 terms.

2. This expression has 2 terms

3. Solution 43-8=35

3. binomial

2+3+9= trinomial

6=monomial

Step-by-step explanation:

Answer + Step-by-step explanation: