Write the equation of the graph shown below in factored form?

Write The Equation Of The Graph Shown Below In Factored Form?

Answers

Answer 1

Answer:

1st option

Step-by-step explanation:

If x = a is a zero of f(x) then (x - a) is a factor of f(x)

Here the zeros ( where the graph crosses the x- axis ) are

x = - 2, x = 1, x = 3 , then the corresponding factors are

(x - (- 2) ), (x - 1), (x - 3) , that is (x + 2), (x - 1), (x - 3)

f(x) is then the product of the factors , that is

f(x) = (x + 2)(x - 1)(x - 3)


Related Questions

PLEASE HELP! WILL MARK BRAINLIEST

Answers

Angle 3 and angle 7 are corresponding angles

Answer:

Corresponding angles postulate

Step-by-step explanation:

<3 and <7 are corresponding angles and if corresponding angles are equal, the lines are parallel.

i) [(2⁵)×7³] /(8³×7)
=8³ can be written as =(2×2×2)³
=(2³)³
we have,
=[(2⁵)²×7³) / [(2³)³×7)
=(2⁵×2×7³)/[(2³×3×7) ....(▪︎(Am)n=(amn)
=(2¹⁰×7³)/(2⁹×7)
=(2¹⁰×7³)/(2⁹×7)
=(2¹⁰-a×7³-¹)▪︎▪︎▪︎(▪︎am÷an=am-n)
=2×7²
=2×7×7
=97
-------

It's answer is correct and wrong

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Answers

Answer:

its 196

Step-by-step explanation:

Need help with this, don't understand it. we weren't taught how to do this​

Answers

9514 1404 393

Answer:

  A, C, D, E

Step-by-step explanation:

Any relation that is different from a straight line with a defined constant slope will be a relation that is either or both of ...

not a functionnot linear

__

a) degree 3, not linear

b) a linear function

c) a vertical line with undefined slope, not a function

d) a curve opening downward, not linear

e) a line with a bend in the middle, not linear

f) a linear function

Is -46.2 a irrational number

Answers

Answer:

No

Step-by-step explanation:

irrational numbers have nonrepeating and non terminating decimals

This decimal stops at one digit so this is a rational number

Answer:

I would say no

Step-by-step explanation:

An irrational number can't be written as a simple fraction.  

(1/1+sintheta)=sec^2theta-secthetatantheta pls help me verify this

Answers

Answer:

See Below.

Step-by-step explanation:

We want to verify the equation:

[tex]\displaystyle \frac{1}{1+\sin\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]

To start, we can multiply the fraction by (1 - sin(θ)). This yields:

[tex]\displaystyle \frac{1}{1+\sin\theta}\left(\frac{1-\sin\theta}{1-\sin\theta}\right) = \sec^2\theta - \sec\theta \tan\theta[/tex]

Simplify. The denominator uses the difference of two squares pattern:

[tex]\displaystyle \frac{1-\sin\theta}{\underbrace{1-\sin^2\theta}_{(a+b)(a-b)=a^2-b^2}} = \sec^2\theta - \sec\theta \tan\theta[/tex]

Recall that sin²(θ) + cos²(θ) = 1. Hence, cos²(θ) = 1 - sin²(θ). Substitute:

[tex]\displaystyle \displaystyle \frac{1-\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta \tan\theta[/tex]

Split into two separate fractions:

[tex]\displaystyle \frac{1}{\cos^2\theta} -\frac{\sin\theta}{\cos^2\theta} = \sec^2\theta - \sec\theta\tan\theta[/tex]

Rewrite the two fractions:

[tex]\displaystyle \left(\frac{1}{\cos\theta}\right)^2-\frac{\sin\theta}{\cos\theta}\cdot \frac{1}{\cos\theta}=\sec^2\theta - \sec\theta \tan\theta[/tex]

By definition, 1 / cos(θ) = sec(θ) and sin(θ)/cos(θ) = tan(θ). Hence:

[tex]\displaystyle \sec^2\theta - \sec\theta\tan\theta \stackrel{\checkmark}{=} \sec^2\theta - \sec\theta\tan\theta[/tex]

Hence verified.

A(x) = 7 – 4x , A(-1) =

Answers

Answer:

7-4*(-1)

7-4*(-1)7+4

7-4*(-1)7+411

Step-by-step explanation:

hope it will help u

Answer:

A(- 1) = 11

Step-by-step explanation:

Substitute x = - 1 into A(x) , that is

A(- 1) = 7 - 4(- 1) = 7 + 4 = 11

8w + 19 - 4w = -5? What is the value of w?

Answers

Answer:

4w = -5-19

4w=-24

w=-6

hope that answers your question

good luck

Select all the expressions that represent the difference of the length to width ratios for rectangle A and rectangle B, where W is the width of rectangle A.

Answers

Answer:

w+5/w - w+1/2w

w+9/2w

Step-by-step explanation:

Answer:

A&D are corect

Step-by-step explanation:

combine like terms

(x + 74) − 318 = 200

Answers

Answer:

(x + 74) - 318 = 200

x + 74 = 200 + 318

x +74 = 518

x = 518 - 74

x = 444

I hope this is helpful to you.

factor as the product of two binomials x2+6x-7

Answers

Answer:

(x-1)(x+7)

Step-by-step explanation:

did it on a test and got it right :))

Which rule is a recursive rule for the sequence
1, – 6, 36, – 216,
...?
Ο o An
-
6. An-1
ο o an
.
6
An-1
o an
6. An-1
1
ο o an
-
.
6
an-1
1
2
3

Answers

1 is the right answer

solve the equation
[tex]log10 \: ( {x}^{2} - 4x + 7) = 2[/tex]

Answers

Answer:

x = 2 ±sqrt( 97)

Step-by-step explanation:

log10(x^2 -4x+7) =2

Raise each side to the base 10

10 ^ log10(x^2 -4x+7) =10^2

x^2 -4x +7 = 100

Subtract 7 from each side

x^2 -4x+7-7 = 100-7

x^2 -4x = 93

Complete the square

-4/2 = -2  (-2)^2 = 4

Add 4 to each side

x^2 -4x+4 = 93+4

(x-2)^2 = 97

Take the square root of each side

sqrt((x-2)^2 )=±sqrt( 97)

x-2 = ±sqrt( 97)

Add 2 to each side

x = 2 ±sqrt( 97)

PLS HELP WILL GIVE BRAINLY!!

What is the weight (in grams) of a liquid that exactly fills a 182.8 milliliter container if the density of the liquid is 0.135grams over milliliter? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point

Answers

Answer:

24.68 gram

Step-by-step explanation:

Given that :

Volume = 182.8 ml

Density of liquid = 0.135 gram/ml

Recall :

Density = mass (g/ml) / volume (ml)

Substitute the value into the equation :

0.135 = mass / 182.8

Mass = 0.135 * 182.8

Mass = 24.678 gram

Hence, weight = 24.678 grams

create another show real life multi-step function problems with Solutions in quadratics​

Answers

Answer:

Kazan also SOS jz zks zj sj aka always zks. aiwow

The volume of the triangular prism is 54 cubic units.
What is the value of x?
O 3
O 5
7
09
3x

Answers

Answer:

3

Step-by-step explanation:

The value of x is 3 if the volume of the triangular prism is 54 cubic units.

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that  volume of the triangular prism is 54 cubic units.

We have to find the value of x

The volume of the prism with triangular base is 54 unit³.

The base is a triangle with,

base = 4 units

height = x units

height of the prism = 3x

V= 6x²

54= 6x²

Divide both sides by 6

x² = 9

x=3

Hence, the value of x is 3 if the volume of the triangular prism is 54 cubic units.

To learn more on Three dimensional figure click:

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please help geometry work coordinates

Answers

Answer:

(a,a)

Step-by-step explanation:

Keep in mind that the vertical line represents the y axis and the horizontal line represents the x axis

We want to find the coordinates of C

We can do this by looking at the given coordinates and the axis..

We are given that B is at (0,a) and we are given that D is at (a,0)

Now looking at C, we can tell that C shares the same y value as B and the same x value as D

If B has a y value of a and D has an x value of a then C would have an x and y value of a

Hence C would be at (a,a)

Combine these radicals.






Anyone pls I need

Answers

Answer:

-26 sqrt(3)

Step-by-step explanation:

-12 sqrt(12) - 2 sqrt(3)

Rewriting

-12 sqrt(4*3) - 2 sqrt(3)

We know sqrt(ab) = sqrt(a)sqrt(b)

-12 sqrt(4)sqrt(3) - 2 sqrt(3)

-12 (2) sqrt(3) - 2 sqrt(3)

-24 sqrt(3) - 2 sqrt(3)

-26 sqrt(3)

find the missing side

Answers

13.9. Use pythagoras theorem to find it. Square root of 12*2 + 7*2 = square root of 193 = 13.89 ~ 13.9

Answer:

[tex]\boxed{x=13.89\:km}[/tex]

Step-by-step explanation:

Pythagorean theorem

[tex]x^2=(12^2)+(7^2)[/tex]

[tex]x^2=144+49[/tex]

[tex]x^2=193[/tex]

[tex]x=\sqrt{193}[/tex]

[tex]\boxed{x=13.89\:km}[/tex]

A. Explain why the point (100,2) is on the graph.
B. What is the x-intercept of the graph? Explain how you know.
49
C. When will the graph meet the line y = 5? Explain how you know.

Answers

Answer:

the log function is the "inverse" function of an exponential function

by definition  [tex]log_{a} b = c[/tex]  then [tex]a^{c} = b[/tex]

in this problem you have [tex]log_{10} 100[/tex]

thus what x solves this ?  [tex]10^{x} = 100[/tex]  the answer is [tex]10^{2}[/tex]

thus (100,2)

B) the x intercept is when y = 0

   [tex]10^{0} = 1[/tex]

   x intercept at (1,0)

C) at 100, the curve will hit y = 5000

Step-by-step explanation:

What is the resulting ordered pair if the value of the independent variable is 2?
f(x) = -5x + 4

Answers

Answer:

y= -6

x = 2

(2,-6)

Step-by-step explanation:

Indepedent variable = x = 2

Plug 2 in for x

f(2) = -5(2) + 4

-10 + 4 = -6

y = -6

Mark Brainliest please

Answer : x= 2 & y= -6

f(x) = –5x + 4
Putting x=2 f(x) = –5(2) + 4 f(x) = -10+4 = -6

So, x=2 , y=-6

According to above explanation, (2, –6) , is the correct answer.

THIS IS TIMED I NEED THE ANSWER NOW

Answers

Answer:

114 pi or 359

Step-by-step explanation:

Please hurry I will mark you brainliest
1. Explain a situation where you would expect to have a partial variation.
What makes this example a partial variation?

2. Explain a situation where you would expect to have a direct variation.
What makes this example a direct variation?

You can include a diagram/graph in your explanation if you wish.

Answers

Answer:

Here's the answers

Step-by-step explanation:

1. When two variables are in relation with a formula or a variable is related by the sum of two or more variables, then it is a partial variation. X = KY + C (where K and C are constants) is a straight line equation which is an example of partial variation.

2. The formula y=kxn y = k x n is used for direct variation. The value k is a nonzero constant greater than zero and is called the constant of variation.

Please answer ASAP!!! A ski store has 60 different boots available, 30 different pairs of skis, and 40 different hats.

If a customer were to only buy ONE item, how many different ways can a customer purchase an item from the store?

Answers

In this question, the client will buy one item, which is composed by a boot, a pair of skis and a hat. Since the items are independent, the fundamental counting principle can be used.

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

60 boots, 30 pairs of skis, 40 hats. So

60*30*40 = 72,000

The customer can purchase an item in 72,000 ways from the store.

For another example of the fundamental counting principle, you can check https://brainly.com/question/24067651

Question 1 (1 point)
The perimeter of an iPad Air is 820 mm. Its length is 100 mm less than twice the
width.
If x = the length of the iPad Air and y = the width of the iPad Air, the linear system of
equations that could be used to model this situations is,
2x + 2y = a
bx = cy-d
The value of a is:

Answers

Answer:

a is the perimeter which is given as 820 mm.

Step-by-step explanation:

Perimeter, P = 820 mm

Length is 100 m less than twice of width

let the length is x and the width is y.

So,

x = 2 y - 100

P = 2 (x + y)

820 = 2 (2y - 100 + y)

410 = 3 y - 100

3 y = 510

y = 170 mm

x = 2 x 170 - 100 = 240 mm

The equation is

2 x = 2 y = a

where, a is the perimeter which is given as 820 mm.

R. White and Co. Has total profit of 6/7 million dollars. The spinning department gave a profit 1/4 of million dollars. Find the fraction of profit from other departments.

Answers

Answer:

Fraction of profit from other departments = 17/28

Step-by-step explanation:

Total profit of R. White and Co = 6/7 million dollars

Profit from the spinning department = 1/4 of million dollars

Fraction of profit from other departments = Total profit of R. White and Co - Profit from the spinning department

= 6/7 million dollars - 1/4 of million dollars

= 6/7 - 1/4

Lowest common multiple (LCM) of 7 and 4 is 28

= (24-7) / 28

= 17/28

Fraction of profit from other departments = 17/28

How do I find out the square root of a perfect square

Answers

The square root of a number (let’s say 25) refers to that number which when multiplied by itself will give the result as the given number (i.e. 25). In our case, the number is 5. We see that 5, when multiplied by itself (i.e. 5), will result in 25. Therefore, 25 is known as the square of 5, and 5 is known as the square root of 25.

Note:

(1) Multiplying two negative numbers will also result in a positive number. Therefore, (-5)*(-5) is also equal to 25. So, -5 is also a square root of 25. But, in general, we assume the square roots of a positive number to be a positive number.

(2) The square root of 1 is always 1.

We represent the square root of a number by a radical sign (√). Example: √36 = 6 (because 6 x 6 = 36)

Note:

(3) Finding the square root of a negative number (i.e. when the negative sign is inside the radical sign i.e. √-36) is a bit complex and is out of context for this article.

(4) if the minus sign is given outside the radical sign (i.e. -√36), then the answer will always be -6.



There are two types of numbers:

Numbers which are a perfect square: Product of an integer with itself. For example, 9*9 = 81.

Numbers which are an imperfect square: Multiplying any number with itself. For example, 2.236*2.236 = 5.

Finding the square root of an imperfect square is a little more difficult than finding the square root of a perfect square number. We will be covering both the topics in this particular article. But before that, we have to understand what square roots are used for.

For example, Rhea is looking for an apartment in Delhi. She is looking for a 2 bedroom apartment where she can live with her sister. A few phone calls later, she has shortlisted two places after seeing their pictures online. One is 1600 square feet with a balcony and the other is 2500 square feet with two balconies. Now, she can easily gauge the size of the first apartment as 40 feet by 40 feet. The second apartment would be 50 feet by 50 feet. This was just an example. Square roots are used for multiple purposes like these.



Now coming to our main topic, i.e., how to find the square root of a number?

(A) Perfect Square Numbers:-

Before finding the square roots of a number, we have to know the squares of the first 9 natural numbers.

1*1 = 1

2*2 = 4

3*3 = 9

4*4 = 16

5*5 = 25

6*6 = 36

7*7 = 49

8*8 = 64

9*9 = 81

What percentage is 150 grams of 400 grams?
1 %

Answers

Answer:

37.5%

Step-by-step explanation:

150/450 = .375 = 37.5%

The percentage is 150 grams out of 400 grams will be 37.5%.

What is the percentage?

The quantity of anything is stated as though it were a fraction of a hundred. A quarter of 100 can be used to express the ratio. Per 100 is what the term percent signifies. The symbol '%' is used to symbolize it.

The percentage is given as,

Percentage (P) = [Initial value - Final value] / Initial value x 100

It is given that the difference between the initial and final value is 15 grams and the initial value is 400 grams.

Then the percentage is 150 grams out of 400 grams will be

P = (150 / 400) x 100

P = 0.375 x 100

P = 37.5%

Thus, the percentage is 150 grams out of 400 grams will be 37.5%.

More about the percentage link is given below.

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You draw a red marble out of a bag and give it your friend. You draw another marble out of the bag. Are the events independent? Explain.

No; the red marble was not replaced, so it has an effect on drawing a second marble.

Yes; you may not get a red marble again.

No; you do not know which marble you will draw next.

Yes; the red marble was kept out, so you can not draw it again.

Answers

Answer:

the red marble was kept out so you can not draw it again

Answer:

Yes; you may not get a red marble again.

Step-by-step explanation:

there is a chance to get a red marble but it is not high

Can someone explain this

Answers

Answer:   28

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

Explanation:

Let x be the unknown angle we want to find. This angle is in degrees.

The diagram shows 19 is the opposite of this angle, and the side 35 is adjacent to the angle.

We use the tangent ratio to tie the two sides together

[tex]\tan(\text{angle}) = \frac{\text{opposite}}{\text{adjacent}}\\\\\tan(x) = \frac{19}{35}\\\\x = \tan^{-1}\left(\frac{19}{35}\right)\\\\x \approx 28.4956386\\\\x \approx 28\\\\[/tex]

Note: The notation [tex]\tan^{-1}[/tex] refers to the inverse tangent, or arctangent.

I need help for this question!!​

Answers

Part (i)

We start with five dots to make the pattern in figure 1.

In figure 2, we add on 1 dot to each arm of the X shape. So that means we've added 4 dots total going from 5 to 5+4 = 9 dots.

In figure 3, there are 9+4 = 13 dots

So the pattern is simply "add 4" to get the next term. Again, this is because we add one dot per arm.

The first three terms of this arithmetic sequence are: 5, 9, 13

Your teacher wants to know what the general nth term is

We start with a = 5 and the common difference is d = 4

T(n) = nth term

T(n) = a + d(n-1)

T(n) = 5 + 4(n-1)

T(n) = 5 + 4n - 4

T(n) = 4n + 1

Let's try it out. Say we want to plug in n = 2

T(n) = 4n + 1

T(2) = 4(2) + 1

T(2) = 8 + 1

T(2) = 9

This works because the second figure indeed has 9 dots. I'll let you confirm the other figures.

Answer:  4n + 1

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

Part (ii)

Your teacher wants to know how many dots occur when n = 50

T(n) = 4n + 1

T(50) = 4(50)+1

T(50) = 200 + 1

T(50) = 201

Verifying this through drawing dots is going to be a very tedious task, and I don't recommend it unless you really want to. Hopefully the verification process of T(2) = 9, and similar (for small values of n) is enough to convince you that this equation works as intended.

Answer: 201
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