Which number is a zero of the given function?
g(x) = (x^2– 36) (x + 7)

Answers

Answer 1
You can factor it more
Remember: (a^2 - b^2) = (a-b)(a+b)
(x^2 - 36) = (x - 6)(x + 6)
Now plug back to equation

(x - 6)(x + 6)(x + 7) = 0
x - 6 = 0, x = 6
x + 6 = 0, x = -6
x + 7 = 0, x = -7

Solution: x = 6, -6, -7
Answer 2

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

To find the zeros of the function g(x) = (x² - 36)(x + 7), we need to identify the values of x that make the entire function equal to zero.

For a function to be equal to zero, at least one of its factors must be zero. Therefore, we set each factor to zero and solve for x:

Setting the first factor, x² - 36, to zero:

x² - 36 = 0

Now, add 36 to both sides of the equation:

x² = 36

Next, take the square root of both sides:

x = ±√36

x = ±6

Setting the second factor, x + 7, to zero:

x + 7 = 0

Now, subtract 7 from both sides of the equation:

x = -7

The zeros of the function g(x) = (x² - 36)(x + 7) are x = 6 and x = -6.

Learn more about zeros of the function from the link given below.

https://brainly.com/question/31654189

#SPJ2


Related Questions

The product of a number t and 3 decreased by 1 is 11.Write an equation that models the verbal sentence. Solve the equation. What is the number?

Answers

3t-1=11
Add one on both sides
3t=12
Divide 3 on both sides
t=4

Help me please I need to pass this class

Answers

Answer:

The answer is C

Step-by-step explanation:

I know this because if you 5 plus 3 is 8 right not the other ones so if you just add zero's it will be 50 plus 30 and then that will equal 80 so it is for every 5 question's he got 3 wrong.

Hope this helps ('o')

Given : In the recent maths test, Jeremy answered 48 questions correct out of 80 total questions. Which statement is correct ?

Solution :

As we know that total no. of questions is 80

Now, as per the options we get 80/5 = 16

However the third option seems to be the accurate as 3(16) = 48

So, we get to know that option C is correct

Out of every 5 questions, Jeremy answered 3 correctly.

the product of two irrational numbers is _____ rational
1.always
2.never
3.sometimes

Answers

Answer:

3. sometimes

Step-by-step explanation:

The product of two irrational numbers is sometimes rational. It depends on the two given numbers.

Janna is making a prediction of the frequency of a key that is 12 keys from middle C. A 2-column table with 5 rows. The first column is labeled number of keys above middle c with entries 0, 1, 2, 4, 8. The second column is labeled frequency (hertz) with entries 277. 18, 293. 66, 311. 13, 249. 23, 440. 0. Which best describes her prediction? interpolation, because a key that is 12 keys from middle C is within the data set interpolation, because a key that is 12 keys from middle C is outside the data set extrapolation, because a key that is 12 keys from middle C is within the data set extrapolation, because a key that is 12 keys from middle C is outside the data set.

Answers

Answer:

  (d)  extrapolation, because a key that is 12 keys from middle C is outside the data set

Step-by-step explanation:

Any prediction made outside the data set is called "extrapolation." The key 12-keys out is outside the domain 0–8 of the data set.

Answer:

(d)  extrapolation, because a key that is 12 keys from middle C is outside the data set

Step-by-step explanation:

edg 2022

Suppose a candy bar weighs 5.47 ounces. How much does a pack of 6 bars weight

Answers

Answer:

32.82

Step-by-step explanation:

Answer:

32.82 OUNCES

Step-by-step explanation:

It is really easy.

All you have to do is 5.47x6

Whoever answers first gets 5 stars, and a thanks. And if possible a brainliest

Answers

Answer:14.518

Step-by-step explanation:

Choose the steeper line.


y=-6x+1

or
y=-3x-2

Answers

Answer: y=-3x-2

Step-by-step explanation:

Slope is rise over run. The slope of y=-3x-2 is -3, which is 1 down/up and 3 to the right/left. The slope of y=-6x+1 is -6 which is 1 down/ up and 6 to the right/left. When the graph is going 3 steps to the right/left, it is steeper than when its going 6 steps to the right/left.

Jean and Jericho who are playing in the school grounds decided to sit on a
seesaw. Jean, who is heavier, tends to raise Jericho on the other end of the seesaw.
They tried to position themselves in order to balance the weight of each other.

Questions: Underline the correct answer.

1. This situation illustrates (direct, inverse) variation.
2. The two quantities that must vary in this situation are (weight and
distance from the center, height and weight).
3. The heavier the kid, the (closer, farther) he/she should be at the
center to balance the seesaw?
4. When Jean moves farther from the center, Jericho tends to go (up,
down).
5. If Jericho moves closer to the center, Jean tends to go (up, down).

Answers

We want to see underline the correct part in each statement.

1) This situation illustrates (direct, inverse) variation.2) The two quantities that must vary in this situation are (weight and distance from the center, height and weight).3) The heavier the kid, the (closer, farther) he/she should be at the center to balance the seesaw?4) When Jean moves farther from the center, Jericho tends to go (up, down).5) If Jericho moves closer to the center, Jean tends to go (up, down).

So, Jean and Jericho are playing on a seesaw.

Jean is heavier than Jericho.

Now, notice that a seesaw is a lever. So it "amplificates" the force that you apply in one end to lift the weight that is on the other end. Depending on the form of the lever and the weights, the force that you need to do changes.

If we define:

W₁ = Jean's weight.d₁ = Jean's distance to the center.W₂ = Jericho's weight.d₂ = Jericho's distance to the center.

We must have:

W₁*d₁ = W₂*d₂

Then:

1) This situation illustrates (direct, inverse) variation.

d₁, the position of Jean, varies inversely with respect to Jean's weight.

2) The two quantities that must vary in this situation are (weight and

distance from the center, height and weight).

(by the equation above)

3) The heavier the kid, the (closer, farther) he/she should be at the

center to balance the seesaw?

By the given equation, we see that d₁ must be smaller than d₂.

And the last two are trivial:

4) When Jean moves farther from the center, Jericho tends to go (up,

down).

5) If Jericho moves closer to the center, Jean tends to go (up, down).

If you want to learn more, you can read:

https://brainly.com/question/18320907

The type of sampling method in which a sample frame is divided into groups, which are highly similar to the others is:

Answers

The type of sampling method in which a sample frame is divided into groups, which are highly similar to the other

Simple random sampling.

According to the given question, we are asked to show the name which is given to the type of sampling method in which a sample frame is divided into groups, which are highly similar to the other.

As a result of  this, when a sample frame is divided into groups which are very similar to each other, then this is a simple random sampling.

In this method, we can see that there are different types of random sampling techniques which includes:

Simple random samplingStratified random samplingCluster random samplingSystematic random sampling

Therefore, the correct answer is Simple random sampling.

Read more here:

https://brainly.com/question/17019103

9,000,000 times 30 divided by 2 plus three minus 36 time 1 divided 93

Answers

135000002.613! At least I think!

At a certain high school, 38 out of 108 students surveyed have a pet at home. If there are 2,000 students in the school, estimate the number of students in the school who have a pet at home.

Answers

Answer: About 703-704 students.
Explanation: 2000 • 38/108 = 703 19/27, and you can not have 19/27 of a person.

( 1 - 7n) times 5

What are the steps to solving it?

Answers

Answer:

5 - 35n.

Step-by-step explanation:

5(1 - 7n)

Using the Distributive Law:

= 5*1 + 5 *-7n

= 5 - 35n.

A true/false test consists of 100 questions. A student knows the correct answer to 40 of the questions. She guesses each of the other answers independently based on the toss of a coin.

Answers

Answer:

whats the question

Step-by-step explanation:

help help ples it due today . ​

Answers

Answer:

Rises -4 and runs -5

Step-by-step explanation:

So the slope is -4/-5

Please find x and y... I will mark you brainliest

Answers

Answer:

x.=6 y=7

Step-by-step explanation:

glad glad I could help

Answer:

x = 6

y = 7

Step-by-step explanation:

Side AB and side DC is equal so let's put it in a equation.

2y - 8 = y - 1

Use APE or Additive Property of Equality\

2y - y = 8 - 1

y = 7

So the value of y is 7.

Now substitute it to line BC.

y + 6

7 + 6

= 13

Since line BC and line AD has equal sides, let's put it in a equation.

2x + 1 = 13

2x = 13 - 1

2x = 12

Use DPE or Division Property of Equality

2x/2 = 12/2

x = 6

pls help me
look at the picture​

Answers

Answer:

third option is correct

[tex] \text{Given : Which expression is equivalent to} \: \frak{( {8}^{2})^{ - 4}} \\ \\ \odot \quad\frak{ \frac{1}{ {8}^{2}}} \\ \\ \odot \quad\frak{ \frac{ - 1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot\quad\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \odot \quad \frak{ {8}^{2} }[/tex]

[tex] \text{Solution : For getting the answer we need to first simplify it } \\ \quad \dashrightarrow \frak{ ({8}^{2}) ^{ - 4} } \\ \\ \quad \dashrightarrow \frak{{8}^{2( - 4)} } \\ \\ \quad \dashrightarrow \frak{ {8}^{( - 8)} } \\ \rm{now \: as \: the \: exponent \: is \: in \: negative \: so \: we \: need \: to \: bring \: 8 \: down \: in \:} \\ \rm{ form \: of \: denominator} \\ \\ \rm{so \: we \: get \: as} : \\ \\ \quad\hookrightarrow \frak{ \frac{1}{ {8}^{8}}} \\ \rm{as \: the \: exponent \: is \: 8 \: so \: we \: get \: to \: know \: that \: 8 \: is \: multplied \: 8 \: times \: with \: 8.} \\ \quad\hookrightarrow\frak{ \frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}} \\ \\ \therefore \underline{ \boxed{ \sf{ \blue{option \: c} \: i.e.} \: \blue{\frak{\frac{1}{8 \cdot8 \cdot8 \cdot8\cdot8\cdot8\cdot8\cdot8}}} \: is \: the \: \blue{correct \: answer}}}[/tex]

....................................................................................

Answers

Answer:

...................................................

Step-by-step explanation:

......

Answer:

Step-by-step explanation: what sicnificant figures?

Need this question done asap ⏰

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Let's consider the points (0 , -1) and (1 , 2) to find the slope of given line ~

[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex]

[tex] \dfrac{2 - ( - 1)}{1 - 0} [/tex]

[tex] \dfrac{2 + 1}{1} [/tex]

[tex]3[/tex]

I hope it helps ~

Answer:

After looking at the image you posted, I deduced that the correct answer should be slope= 3.

Step-by-step explanation:

I came to this conculsion by using the formule slope= [tex]\frac{rise}{run}[/tex] or [tex]\frac{y-axis}{x-axis}[/tex]

Firstly:

I identified the position of the two points. The first points position being (-1, 0) and the second being (1, 2).

Secondly:

I then found the difference between the two points on the graph to be

(1,3) or (x=1, y=3).

Thus:

The [tex]\frac{rise}{run}[/tex] of the two points is [tex]\frac{y=3}{x=1}[/tex] or 3.

Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:

Answers

Answer: $920

Step-by-step explanation:  

$115x8=$920 which is the total cost of eight tickets

First divided five from 115 and then the answer I got was 23 then I multiplied it by 23 and then I got 184 and so, Eight tickets cost $180

Which equations represent exponential growth? Which equations represent are exponential decay?
pls help​

Answers

Answer:

When the base is less than 1 it's Decay

When the base is greater than 1 it's Growth

After school, Cindy had a science club meeting for 55 minutes, followed by a choir rehearsal that lasted for 1 hour and 35 minutes. If Cindy got out of school at 1:15 P.M., what time did the choir rehearsal end?
Please help

Answers

Answer:

3:10

Step-by-step explanation:

Total time=1h 35minMeeting=55minTime of choir rehearsal=1h35min-55min=40min

Disposal time=1:15PM

Choir ending time:-

[tex]\\ \sf\longmapsto 1:15-0:40=12:35PM[/tex]

A bird is 300 feet above sea level. If it soars downward to 135 feet above 10 points
sea level how far did it travel?

Answers

It is 300 - 135 so it is 165 feet downward.

Can someone pls help me!

Ms. Failla decides that she wants to give a test on ratios and rates. The test consists of 18 questions. How much time must Mrs. Storz give to her students if she plans that the students can answer the questions at a rate of 3 questions in 7.5 minutes?

Answers

Answer:

Mrs. Storz must give 45 minutes

Step-by-step explanation:

Create a proportion:

t = total time given for all questions

[tex]\frac{3}{7.5} = \frac{18}{t}[/tex]

Cross multiply:

3t = 135

Divide both sides:

3t/3 = 135/3

t = 45

Teresa received a $90 gift card for a coffee store. She used it buying some coffee that cost $8.59 per pound. After buying the coffee, she had $38.46 left on her card. How many pounds of coffee did she buy?

Answers

Answer:

6 pounds of coffee

Step-by-step explanation:

Given Teresa's $90 gift card for a coffee store, and a balance of $38.46 on her card:

Subtract the remaining balance of $38.46 from the $90 original balance on Teresa's card, to determine how much she spent on coffee.

$90.00 - $38.46 = $51.54

Next, divide the amount that she spent at the coffee store by the $8.59 cost per pound to find out how many pounds of coffee she purchased from the store:

$51.54 ÷  $8.59 per pound = 6 pounds

Therefore, she bought 6 pounds of coffee worth $51.54 from the store.

Solve pls brainliest

Answers

Answer:

Hi, the answer should be 8.1 dollars

$2.70

I multiplied 90x.03

.03 is 3% is decimal form

Hope this helps

what is the smallest and largest you can make with 1,7,3,5 using each number only once

Answers

Step-by-step explanation:

the smallest :13

the largest :75

Answer:

smallest :13

largest :75

The answer is right, but I am not 100 percent sure.

Answers

Step-by-step explanation:

a bc it should be good anser

10-25 in negative form

Answers

-15 i pretty positive it is that

Have a good day

I hope this helps stay positive get it negative positive

Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

Answers

Answer:

2.8 miles

Step-by-step explanation:

Josh runs 7 miles in 60 minutes. At the same rate, how many miles would he run in 24 minutes?

7 : 60 = x : 24

x = 7 * 24 : 60

x = 2.8 miles

1,8,27,64

find the rule and show how did you find it​

Answers

Answer:

Its a cubic number formula

Step-by-step explanation:

1, 8, 27, 64, 125, 216, 343

Other Questions
In case of a heating failure during cold weather, you should do all of the following EXCEPT: A. Dress in layers adding sweaters and outer clothing as needed B. Keep everyone moving, if possible, to keep warm C. Keep sleeping bags available D. Use a gas oven to heat the house Becky's medical bill is $1374. She has a $150 deductible, plus 85% medical insuranceHow much will Becky pay?Helpppp A shipping container is In the shape of a right rectangular prism with a Length Of 11.5 feet a width of 10.5 feet and a height of 13 feet The container is compeletly filled with contents that weigh on average 0.29 pound per cubic foot. What is the weigh of the contents in the container to the nearest pound? Find an equation of the circle whose diameter has endpoints (1,1) and (-5,-3) . Help with elimination Many Thanks Do you believe the media should be allowed to report on the actions of the U.S. military during times of war? Explain. A cyclist travels 5.3 km in 30 minutes. What is his average speed in km/h? What is the name of the branched alkane shown below?A. 3-methyloctaneB. 4-methylheptaneC. 3-methylheptaneD. 4-methyloctane strength training exercises are thought to be __________because your muscles use short bursts of energy to move against resistance. Software which fulfills the requirement of a particular company is known as ________ software. Although Magna Carta (1215) came to be viewed as the first document to guarantee the legal rights of all Englishmen, it was originally intended to serve as a(n) Hello i need some help here the answerA.x3y=6 5xy=10B.3x4y=24 2x+3y=6C.2x9y=18 7x2y=14D.x8y=16 5x+2y=20 What is the value of the function Y equals 2X plus 3 When x equals -1 What kinds of challenges to individualism does Emerson describe in his essay? Find at least three examples in the text. Can someone help me out with this please A number is between 14 and 19. It has prime factors of 2 and 3. What is the number How does the author use race to develop the theme of the passage?A.The race illustrates how competition can be an effective motivator.B.The race highlights the importance of gracefully accepting defeat.C.The race reveals why feeling energized can be a fleeting emotion.D.The race presents a situation where cultural misunderstandings create conflict. If the side of a square is increased by 25%, then by how much is its area increased? A gas held in a balloon at 5L has its temperature doubled. What will the new volume of the balloon be? Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = x2, x = y2; about y = 1