Consider the function shown on the graph.


Which function does the graph represent?

Answers

Answer 1

The quadratic function graphed is defined as follows:

f(x) = 3(x - 3)(x - 7).

How to define the function?

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

The roots of the function are given as follows:

x = 3.x = 7.

Hence the linear factors of the function are:

x - 3.x - 7.

The function then is:

f(x) = a(x - 3)(x - 7)

When x = 8, y = 15, hence the leading coefficient a is obtained as follows:

5a = 15

a = 3.

Hence:

f(x) = 3(x - 3)(x - 7).

More can be learned about the Factor Theorem at brainly.com/question/24729294

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Consider The Function Shown On The Graph.Which Function Does The Graph Represent?

Related Questions

Help please, I will mark you as brainliest

Answers

Step-by-step explanation:

Im confused with the second one but it matched with the option.

Answer:

[tex]-9y^4x^4-11y^3x^4+7y^3[/tex] [tex]9x^3+33x^2-50[/tex]

Step-by-step explanation:

1. Length = 3x^2 +6x-10

Width = 3x+5

Area = ?

Area = Length×Breadth

[tex]\left(3x+5\right)\left(3x^2+6x-10\right)\\\\\mathrm{Distribute\:parentheses}\\\\=3x\times\:3x^2+3x\times\:6x+3x\left(-10\right)+5\times\:3x^2+5\times\:6x+5\left(-10\right)\\\\\mathrm{Apply\:minus-plus\:rules}\\\\+\left(-a\right)=-a\\\\=3\times\:3x^2x+3\times\:6xx-3\times\:10x+5\times\:3x^2+5\times\:6x-5\times\:10\\\\Simplify\\\\=9x^3+33x^2-50[/tex]

2.

[tex]\left(y^3-7x^4y^4\right)+\left(-10x^4y^3+6y^3+4x^4y^4\right)-\left(x^4y^3+6x^4y^4\right)\\\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\\\=y^3-7x^4y^4-10x^4y^3+6y^3+4x^4y^4-\left(x^4y^3+6x^4y^4\right)\\\\=y^3-7y^4x^4-10y^3x^4+6y^3+4y^4x^4-\left(y^3x^4+6y^4x^4\right)\\\\=y^3-7x^4y^4-10x^4y^3+6y^3+4x^4y^4-x^4y^3-6x^4y^4\\\\Simplify\\\\=-9y^4x^4-11y^3x^4+7y^3 \\[/tex]

plz help I will mark brainlest!

Answers

number 12 : answer is b

Answer:

the first picture is 5.2 so b

The second picture is 2 and a half centimeters so also b

TRUST ME

Step-by-step explanation:

b. Find the sum of 24 and the difference between 4 and 2​

Answers

Answer:

Sum of 24 and the difference between 4 and 2​

=> 24 + (4-2)

=> 24 + 2

=> 26

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

26

Step-by-step explanation:

Step 1: Convert word to math

24 + (4 - 2)

Step 2: Evaluate

24 + 2

26

Find the diameter of a circle if the radius = 7 ft

Answers

Answer:

d = 14 ft

Step-by-step explanation:

diameter is 2 times r

d = 2r

Step 1: Define

r = 7ft

Step 2: Substitute and Evaluate

d = 2(7 ft)

d = 14 ft

I think the answer is d=14ft :)

If today were Tuesday, what day of the week would it be 100 days from now?

Answers

Answer: Thursday

Step-by-step explanation:

Answer: Thursday. I think it with be Thursday

Step-by-step explanation:

I looked at a calendar and counted down 100 days starting with Tuesday

I hope this helps.

Find the area and perimeter of the shaded figure

Answers

Answer:

Area - 6 unit^2   Perimeter - 10 units

Step-by-step explanation:

The shaded figure is 3 units long and 2 units high.

L = 3  W = 2

A = LW

A = 3 x 2 = 6 unit^2

Perimeter = 2L + 2W

P = 2(3) + 2(2)

P = 6 + 4 = 10 units

I need help finding the RS, ST and RT​

Answers

Answer:

so your awnser would be

Step-by-step explanation:

Daddy

Answer:

RS = 38

ST = 22

RT = 60

Step-by-step explanation:

plz help me i will give you brain,y if it is correct

Answers

15 customers!!!!!!!!!!

Use intercepts to graph the line described by the equation.
7y=5x+35

Answers

The first thing to do would be to simplify the equation which would be y= 5/7x + 5, and you would just graph that.

Solve the system of linear equations by elimination. x−y=1 −x+3y=3

Answers

Answer:

y=1

Step-by-step explanation:

x-y=1

-x+3y=3

x=1+y

-1+y+3y=3

4y=4

y=1

The length, L, of a rectangle is 4 times its width, W. The perimeter of the rectangle is greater than 60
cm. Which inequality expresses all the possible lengths of the rectangle in centimeters? (Hint: P =
21+2w)

Answers

Answer:

w> 6

Step-by-step explanation:

Let w= the width

Let 4w = length

So then your equation becomes

2(w) + 2(4w) >60

Distribute

2w+8w > 60

Combine like terms

10w > 60

Divide by 10

w > 6


Solve the triangle. Round to the tenths place.

Answers

Answer:

Step-by-step explanation:

=
−5=minus, 5, equals


+
6
+6plus, 6

-
15
-
15
-
10
-
10
-
5
-
5
5
5
10
10
15
15
0
0

Answers

Umm what? I don’t think i can answer this cause i can barely read it.

PLZ HELP PLZZZZZZZZZ DONT GET IT WRONG

Answers

Answer:

I would also say a or b, they just seem correct I cant really explain it.

Solve for x and find the value of the unknown angle measures.

Answers

X=20
M=50
N=68
P=50
That is the answer

QUESTION 2 Brewsky's is a chain of micro-breweries. Managers are interested in the costs of the stores and believe that the costs can be explained in large part by the number of customers patron­izing the stores. Monthly data regarding customer visits and costs for the preceding year for one of the stores have been entered into the regression analysis and the analysis is as follows: Average monthly customer-visits 1,462 Average monthly total costs $4,629 Regression Results Intercept $1,496 b coefficient $2.08 R2 0.86814In a regression equation expressed as y = a + bx, how is the letter b best described? (CMA adapted)

Answers

Answer:

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

Step-by-step explanation:

How is the letter b best described?

b is the amount by which the costs of the stores (i.e. y) will increase whenever the number of customers patron­izing the stores (i.e. x) increases by one.

That is, b is the coefficient of letter x and it indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

To give an example, the regression equation in the question is expressed as:

y = a + bx ............................ (1)

Where;

y = the costs of the stores = ?

a = Intercept = $1,496

b = coefficient = $2.08

x = the number of customers patron­izing the stores = ?

Assume x = 1, we can predict y by substituting the values to obtain y1 as follows:

y1 = $1,496 + ($2.08 * 1) = $1,496 + $2.08 = $1,498.08

Now, assume x increases by 1 to 2 i.e. x = 2, we can predict y by substituting the values to obtain y2 as follows:

y2 = $1,496 + ($2.08 * 2) = $1,496 + $4.16 = $1,500.16

The the change is y as a result of one unit increase in x from 1 to 2 can then be obtained as follow:

Change in y = y2 - y1 = $1,500.16 - $1,498.08 = $2.08.

This therefore cofirms that b indicates that whenever there is a one unit increase in the number of customers patron­izing the stores (i.e. x), the costs of the stores (i.e. y) will increase by $2.08.

What is the value of the function at x=−3?




y = 3

y=−3


y = 0

y = 4
Coordinate grid with the graph of a straight line passing through the points begin ordered pair 2 comma negative 2 end ordered pair and begin ordered pair negative 3 comma 4 enter ordered pair

Answers

y = 3 hope that helped!

Answer:

y= 4

Step-by-step explanation:

Which shows two expressions that are equivalent to (-7)(-15)(-5)

Answers

-2,625 = 5x

-5,250 = 10x
I hope that’s what you’re looking for!

Which difference is about 10?

A. 55.7 − 55.6
B. 43.2 − 38.4
C. 60.9 − 48.7
D. 52.5 − 26.8

Answers

A. 55.7-55.6 = 10.1

This is the closest to 10 out of all 4.

Brainliest or thank you would be nice :)

I have 0 idea what this even means? Does anyone know the answer and if you could possibly elaborate if you do? Very confused over here

Answers

Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.

How to determine the corresponding output value for this function?

In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.

When x = 1, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(1) = ln(1).

f(1) = 0.

When x = 2, the output value for f(x) based on the table of values is given by;

f(x) = lnx

f(2) = ln(2).

f(2) = 0.69314718

When x = 1, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(1) = log₂(1)

g(1) = 0.

When x = 2, the output value for g(x) based on the table of values is given by;

g(x) = log₂x

g(2) = log₂(2)

g(2) = 1.

In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.

Read more on function here: brainly.com/question/10687170

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from 2003 to 2004 approximately how much increase in income occurred ?

Answers

Answer:

6,000,000

Step-by-step explanation:

Answer:

7,000,000

Step-by-step explanation:

What is the slope of the line that crosses through the points (1,3) and (4,6)?

Answers

Answer: The slope is 1

Step-by-step explanation:

We use the slope formula (y - y)/(x-x)

Values must be consistent, e.x if you choose y1 for first variable, you must choose x1 as the first variable too.

(6 - 3)/(4 - 1)

3/3 = 1

Round 6.14 to the nearest tenth

Answers

Answer:

6.1

Step-by-step explanation:

Because 4 is nowhere near 10 so the answer is 6.1

I need help with this I don’t get it.

Answers

Answer:

(Orange Drive distance)^2 = (85^2 -77^2)

(Orange Drive distance)^2 = 1,296

Orange Drive distance = sqr root (1,296) = 36 yards

Orange Drive + Peach Ave = 36 + 77 = 113 yards

113 - 85 = 28 yards

The (Orange Drive distance  + Peach Ave distance) is 28 yards longer than the Cherry Street distance.

Step-by-step explanation:

2(n - 3) < - 13 + 2n

Answers

Answer:

yjth

Step-by-step explanation:

Answer:

7/4 = n

1.75 = n

Explination:

2(n - 3) < -13 + 2n

distributive property

2n - 6 < -13 + 2n

inverse operations

2n - 6 < -13 + 2n

+2n              +2n

left side would cancel out/right side would add 2n

-6 < -13 + 4n

add 13 on both sides

-6 < -13 + 4n

+13    +13

-13 and 13 cancel each other out/ -6 + 13 = 7

7 < 4n

divide by 4

7 < 4n

---    ---

4       4

4/4 = 0, so it is n by itself. 7/4 = 1.75

solve for x. Assume that lines which appear to be diameters are actually diameters​

Answers

Answer: number 7. 7

Step-by-step explanation:

Simplifying

7X + 1 + -5X = 15

Reorder the terms:

1 + 7X + -5X = 15

Combine like terms: 7X + -5X = 2X

1 + 2X = 15

Solving

1 + 2X = 15

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1' to each side of the equation.

1 + -1 + 2X = 15 + -1

Combine like terms: 1 + -1 = 0

0 + 2X = 15 + -1

2X = 15 + -1

Combine like terms: 15 + -1 = 14

2X = 14

Divide each side by '2'.

X = 7

Simplifying

X = 7

can you help me plssss

Answers

Sarah earn 300 dollars by selling 100 headbands, so the last choice, hope this helps!

Solve for x. *
52°
(6x + 2)°

Answers

Answer:

x=21

Step-by-step explanation:

The two angles form a straight line so they add to 180

6x+2+52 = 180

6x+54= 180

Subtract 54 from each side

6x+54-54 = 180-54

6x= 126

Divide by 6

6x/6 =126/6

x = 21

Answer:

21

Step-by-step explanation:

Max practices the piano and the guitar for a total of 150 minutes every day. He practices the guitar for 80 minutes longer than he practices the piano Part A: Write a pair of linear equations to show the relationship between the number of minutes Max practices the guitar () and the number of minutes he practices the piano (y) every day. (5 points) Part B: How much time does Max spend practicing the plano every day? Show your work. (3 points) Part C: Is it possible for Max to have spent 125 minutes practicing the guitar if he practices for a total of exactly 150 minutes and practices the guitar for 30 minutes longer than he practices the piano? Explain your reasoning (2 points) Ω 22 23 Source гс BI V S X. IX E Styles Normal - ? Part A: xy = 150 x = x + 80 Then use Substitution X + (x + 80) = 150 2x + 80 = 150 2x = 70 * = 35 Which equals 35 minutes of Max practicing the guitar 09 Question 1 (Angwered) Teous Question​

Answers

Answer:

Award Brainliest to this answer :)

Step-by-step explanation:

1 /  p + g = 150

g - 80 = p   =>  p - g = - 80

 

2 /  Adding the equations eliminates g and gives  2p = 70, p = 35

Back substituting to the 1st Equation;  35 + g = 150  =>  g = 115  

 

3 /  No, not if the stated conditions remain.

What fraction is equivalent to 6/25

Answers

Answer:

0.24

Step-by-step explanation:

if you divide 6 by 25 it would be 0.24

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