The zeros of a quadratic function are -7 and 3. Which of the following could be the function? Select all that apply.
A. F(x)=2x^2-8x-42
B. F(x)=5x^2+20x-105
C. F(x)=x^2+4x-21
D. F(x)=x^2-4x-21

Answers

Answer 1

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

How to determine the possible equations?

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

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Related Questions

A. 58

B. 110

C. 45

D. 51

Answers

Answer:

A. 58

Step-by-step explanation:

70° + m<3 + 52° = 180°

m<3 = 58°

Answer:

A. 58°

Step-by-step explanation:

here's your solution

==> 70° + 52° + angle 3 = 180°. [linear pair]

==> angle 3 + 122° = 180°

==> angle 3 = 180° - 122°

==> angle 3 = 58°

hope it helps

If the line containing the points in the table is plotted on a coordinate system, what does the
graph look like?

Answers

Answer:

90

Step-by-step explanation:

A restaurant owner wants feedback on the items on the menu, so she leaves a customer satisfaction survey on the tables for customers to
complete if they wish. Which sampling method best describes this scenario?
O A) convenience sample
OB) simple random sample
O C) stratified random sample
OD) voluntary response sample

Answers

Answer:

O A) convenience sample

Step-by-step explanation:

O A) convenience sample

The sampling method which describes the situation is option D. voluntary response sample.

What are Sampling Methods?

Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.

This is included in the non probability sampling methods.

So it is either convenience sample or voluntary response sample.

Convenience sample is the selection of a sample which is convenient for you. That is, the sample which is most accessible is selected by the researcher.

Voluntary response sample is also the one which is most accessible. But the researcher is not selecting the sample. Instead the members of the population can decide whether to took part in the sample.

Here it is customer's wish to complete the survey.

So it is voluntary response sample.

Hence the correct option is D. voluntary response sample.

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What value of x will make the equation below true?
x−4.5=9

Answers

Answer:

13.5

Step-by-step explanation:

9*4.5=13.5

Please help ASAP due 9:20, will give brainliest

Answers

Answer:

1) 1,095

Step-by-step explanation:

[tex]a^{2} +1300^{2} =1700^{2} \\ a^{2} =1700^{2} -1300^{2} \\ =2890000-1690000\\ =1200000[/tex]

[tex]a^{2} =1200000\\ a=\sqrt{1200000} \\ a=1095.4451[/tex]

round to 1,095

Answer:

The answer is 1

Step-by-step explanation:

[tex]a =\sqrt{c^{2} - {b^{2 } \\[/tex]

[tex]a = \sqrt{1700^2 - 1300^2}[/tex]

[tex]a = \sqrt{2890000 - 1690000}[/tex]

[tex]a = \sqrt{1200000}[/tex]

[tex]a = 1095.4451150103[/tex]

surface area of a rectangular prism with length 11 meters, width 5 meters, and height 14 meters

Answers

Answer:

Step-by-step explanation:11

Which expression is equivalent to left parenthesis 5 to the power of negative 2 end exponent right parenthesis to the power of 5 space x space 5 to the power of 4 ?

Answers

Answer:

[tex]\frac{1}{5^6}[/tex]

Step-by-step explanation:

Given the expression (5⁻²)⁵ ₓ 5⁴

According to indices

(a^m)^n = a^{mn}

(5⁻²)⁵ = (5⁻¹⁰)

(5⁻²)⁵ ₓ 5⁴

= 5⁻¹⁰ ₓ 5⁴

= 5⁻¹⁰⁺⁴

= 5⁻⁶

Hence the equivalent expression is [tex]\frac{1}{5^6}[/tex]

PLEASE HELP! I don’t understand

Answers

hi! the x-intercepts are (-5,0) and (-3,0). If it is asking what x is then x=-5 and x=-3
x intercepts are the points of the parabola that hit the x-axis.
hope i could help!! pls mark brainliest!!

Question 9 (1 point)
Find the volume of the composite shape below.
5ft - 2 ft
Leave in terms of pi. Round to the nearest whole number!
Volume=
Tft?
Blank 1:
Question 101

Answers

30.66pi ft³

First, we need to find the volume of the cylinder using the following equation

[tex]V = r^2h\pi \\V = (2^2)5\pi \\V = (4)5\pi \\V = 20\pi[/tex]

The volume of the cylinder is 20pi

Next, we need to find the volume of a sphere. Since the cylinder is divided in half by the cylinder, we can use the following equation as if it were whole

[tex]V = \frac{4}{3} r^3\pi \\V = \frac{4}{3} 2^3\pi \\V = \frac{4}{3} 8\pi \\V = 10\frac{2}{3} \pi[/tex]

The volume of both half spheres is 10.66pi

Now we can add both together to get 30.66pi ft³

A watering can contained 512 quarts water. After all the plants were watered, only 4 cups remained. How many cups of water were used to water the plants?

Answers

Answer:

2044 cups

Step-by-step explanation:

number of cups left = number of cups in the watering can - number of cups remaining

convert the capacity of the watering can to cups

1 quart = 4 cups

512 x 4 = 2048

2048 - 4 = 2044

Nadia sells earthworms to fishermen. She charges 75 cents for a dozen worms. Yesterday she sold 48 worms. How much money did she make?

Answers

Answer:

I believe she sold 3 dollars

Step-by-step explanation:

if this helps please give me a crown

Answer:

$3.00

HOPE THIS HELPS :)

AB = BC. BD bisects ABC​

Answers

Can we see the picture to help ... I’d love to help but need a better visualization

Within the gulf war did javen work at sonic?

Answers

Answer:

yes for 2 hours then died

Step-by-step explanation:

LOLLLL LOOK HERE PIC

giving brainliest
What is the magnitude (size) of –7.5?


A., because |–7.5| =


B.–7.5, because |–7.5| = 7.5


C.7.5, because |–7.5| = 7.5


D.7.5, because |–7.5| = –7.5

Answers

Answer: C

Step-by-step explanation:

7.5, because |-7.5|= 7.5

If a negative number is in between these bars | | then it becomes a positive.

Which model represents 1/2 divided by 1/6?

Answers

Answer:

The answer I believe is :  D.

~  Hope this is correct, if I'm wrong I'm sorry, have a gr8 day/ night my friend!~

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Can a triangle have lengths of 1, 16, and 16 ...Can anyone help ?

Answers

Answer:

Yes they can it would be a isosceles triangle.

Step-by-step explanation:

An isosceles triangle can have 1 side that is different from the other 2.

Answer:

yes

Step-by-step explanation:

an isosceles triangle can have those sides

Help plz, I don't understand ​

Answers

I think it’s A due to the pattern

- You pick a card at random. 1 2 3 4 5 6 7 8 D) What is P(even)? )) Write your answer as a fraction or whole number​

Answers

Answer:

4/8 or reduced 1/2

Step-by-step explanation:

It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8

There are 6 roses in a vase of 11 flowers. The rest are daisies. What is the ratio of daises to roses?

Answers

Answer:

5:6

Step-by-step explanation:

1: Minus 11 (all flowers) by 6 (roses) = 5

2: Put daisies before roses, because it says daises to roses.

3: Your answer should be 5:6

Ur welcome

Which angle measures of 45°

Answers

Answer:

first

Step-by-step explanation:

half of right angle

Find the measure of <1

Answers

143 is the answer.

Step-by-step explanation:

The line that has the 1, and the 37° is a total of 180°.

To find the value of 1, simply subtract 37° from 180°:

[tex]180-37 = 143[/tex]

<1 = 143


HELP!
Part B:
Is the distance between the flagpole in the street light was 22 yards, with the three landmarks from a right triangle? Show or explain your work.
Part C: if both of distance between the drinking fountain Street light in the drinking fountain in blackboard double, how would that affect the distance between the flagpole a street light? Sure it’s from your work here for you.

Answers

The answer is 20 I think because 10 plus 10

Little help on this?

Answers

Answer:

c

Step-by-step explanation:

Answer:

(4,8) , is not a solution of the linear equation

hope it helps

i need help pleeeeease

Answers

Answer:

5

Step-by-step explanation:

because by solving that the answer comes 5.70

Solve the equation (4x – 24) + x = 14.
Distribute the į to the quantity to get:
Combine the like terms to get
Add 6 to both sides to get:

Answers

Answer:

(4x – 24) + x = 144x - 24 + x = 14(4x + x) - 24 = 145x - 24 + 24 = 14 + 245x = 385x/5 = 38/5x = 7.6

Which line has the greatest slope?

A
B
C​

Answers

Answer:

I think answer might be A

which of the following is true about the expression /3x/2?

Answers

Answer:

Option B

it represents the product of two irrational numbers and is equivalent to an irrational number.

Hope it helped :)

If both fire their cannons at the same time, what is the probability that both the pirate and the Captain hit each other's ships?

Answers

Why would you ask a question with absolutely no data? Are the ships facing each other? Whats the accuracy of the cannons? How many cannons do they each have?

Streets A and B run parallel to each other. The measure of 4 is 31º. The measure of 3 is 149°. Find the measure of 6.

Answers

Answer:

12

Step-by-step explanation:

use the explicit formula to find the 10th term of the following sequence:

1, 5, 25, 125, ...

Answers

Answer: 1,953,125

Step-by-step explanation: Multiplying each by 5. 1, 5, 25, 125, 625, 3,125, 15,625, 78,125, 390,625, 1,953,125

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