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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.

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Answer:

The answer is 2, 6, 5, 1 for the Grams of Fiber.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The size of the exterior angle in a triangle is the sum of interior opposite angles. In this case, it's

Angle ACD=40+40=80° (Exterior angle=sum of int. opp. angles)

Answer:

b. 80°

Step-by-step explanation:

B is 40°

A triangle has 180°

40 + 40 + x = 180

80 + x = 180

x = 100

Since it's a supplementary angle...

180 - 100 = 80

Answer:

plus and minus

Step-by-step explanation:

example : 3 ± 5 = 8 or -2  

Hello!

The symbol + means "plus or minus"

It means we either add or subtract 4.

Example: 2+4=6 or -2

Hope it helps!

~Just a felicitous teen

#CarryOnLearning

[tex]SilentNature :-)[/tex]

Answer:

Important, funny and book about the place you are going?

Answer:

y= ⅔x -2

Step-by-step explanation:

slope-intercept form

y= mx +b, where m is the slope and b is the y-intercept.

Two given coordinates: (-3, -4) and (6, 2)

[tex]\boxed{slope = \frac{y1 - y2}{x1 - x2} }[/tex]

Slope

[tex] = \frac{2 - ( - 4)}{6 - ( - 3)} [/tex]

[tex] = \frac{2 + 4}{6 + 3} [/tex]

[tex] = \frac{6}{9} [/tex]

[tex] = \frac{2}{3} [/tex]

Substitute m= ⅔ into the equation:

y= ⅔x +b

From the graph, the y- intercept is -2 since the line cuts through the x-axis at (0, -2).

Alternatively, we can also substitute a pair of coordinates into the equation to find the value of b.

When x= 6, y= 2,

[tex]2 = \frac{2}{3} (6) + b[/tex]

2= 4 +b

b= 2 -4

b= -2

Thus the equation of the line is y= ⅔x -2.

[tex]9(4x-6) = 2(-3-2x)\\\\\implies 36x - 54 = -6-4x \\\\\implies 36x +4x = 54 -6 \\\\\implies 40x = 48\\\\\implies x = \dfrac{48}{40} = \dfrac{6}5[/tex]

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

The required values are ~

[tex]\fbox \colorbox{black}{ \colorbox{white}{x} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{40 \degree}}[/tex]

[tex]\fbox \colorbox{black}{ \colorbox{white}{y} \:  \:  \:   \:  \:  \:  \: \: \colorbox{white}{=}  \:  \:  \:  \:  \:   + \colorbox{white}{80 \degree}}[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

From the given figure, we can infer that ~

(by linear pair)

now, let's solve for x ~

And, we can see that 2x = y (by alternate interior angle pair)

So, let's find the value of y ~

Answer:

x = 40

3x - 20 = 100

2x = 80

y = 80

2x - 15 = 65

Step-by-step explanation:

The angles 3x - 20 and 2x are a linear pair, so they are supplementary. Their measures has a sum of 180°.

Angles 2x and y are alternate interior angles, so they are congruent.

Once we find the value of x, we can find the measure of angle 2x - 15.

3x - 20 + 2x = 180

5x = 200

x = 40

3x - 20 = 3(40) - 20 = 120 - 20 = 100

2x = 2(40) = 80

y = x = 80

2x - 15 = 2(40) - 15 = 80 - 15 = 65

Answer:

Triangle

Step-by-step explanation:

90/3=30

30×2=60.

60° internally in a triangle.

Answer:

2.5

Step-by-step explanation:

2.5x4=10

10-10=0

Answer:

-2, -1, 0, 1

Step-by-step explanation:

-2

-1

0

1

All the possible values of t in the inequality - 3 < t < 2 is,

t = - 2, - 1, 0, 1

Used the concept of inequality that states,

A relation by which we can compare two or more mathematical expressions is called an inequality.

Given that;

The inequality is,

- 3 < t < 2

Here the given inequality means all the values of t are lies between - 3 and 2.

That is,

t = - 2, - 1, 0, 1

Therefore, the value of t are t = - 2, - 1, 0, 1

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Answer:

1.5

Step-by-step explanation:

Numbers in the interval are 0, 1, 2 and 3

Average Value = (0+1+2+3)/4=1.5

The average value of the numbers in the interval {0,3} is 1.5.

Average is defined as the ratio of the sum of the number of the data sets to the total number of the data. The average actually determines the middle value of the data.

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Given that the value c is in the interval [0,3]. The interval is written {0,1,2,3}.

The average of the numbers is calculated as,

Average Value = (0+1+2+3)/4

Average Value =1.5

Therefore, the average value of the numbers in the interval {0,3} is 1.5

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Answer:

5, 7, and 12

Step-by-step explanation:

First we can make and equation

x + z + y = 24

we can plug in the numbers you gave us giving us

y = x + z

z = y - x

x = (y - 2) ÷ 2

Once, were done we get that x = 5 ≈ smallest number

z = 7 ≈ second largest number

y = 12 ≈ largest number

Answer:

x = 1

Step-by-step explanation:

[tex]\frac{3x-3}{5}[/tex] = [tex]\frac{2x-2}{4}[/tex] ( cross- multiply )

4(3x - 3) = 5(2x - 2) ← distribute parenthesis on both sides

12x - 12 = 10x - 10 ( subtract 10x from both sides )

2x - 12 = - 10 ( add 12 to both sides )

2x = 2 ( divide both sides by 2 )

x = 1

The required class widths are 3, 8, 13, 18, 23 and 28

Given the frequency distribution that summarizes employee years of service for Alpha Corporation as shown below:

[tex]1-5 \ | \ 6-10\ | 11-15 \ | \ 16-20 \ | 21-25 \ | 26 - 30\ \\ 0\ \ \ \ \ \ \ \ 20 \ \ \ \ \ \ \ \ 25 \ \ \ \ \ \ \ \ \ \ 10 \ \ \ \ \ \ \ \ \ \ 5[/tex]

The width of each class is calculated by taking the midpoints of each of the class intervals as shown:

For the class interval 1  - 5

width  = 1+5/2 = 3

For the class interval 1  - 5

width  = 6+10/2 = 8

For the class interval 11  - 15

width  = 11+15/2 = 13

For the class interval 16  - 20

width  = 16+20/2 = 18

For the class interval 21  - 25

width  = 21+25/2 = 23

For the class interval 26  - 30

width  = 26+30/2 = 28

Hence the required class widths are 3, 8, 13, 18, 23 and 28

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Answer:

$343.75

Step-by-step explanation:

$5.50 × 125 = $687.50 ÷ 2 = $343.75

Answer:

$343.75

Step-by-step explanation:

Multiply 5.50 by 125 hours to get the amount of money she has earned. Then since she saved half of it divide that amount which is $687.50 by 2 to get $343.75

Answer:

107 pages.

Step-by-step explanation:

100 - 47 - 28 = 25% are on Physics.

Number of pages on physics = 0.25 * 428

= 107.

Answer:

There are 107 pages devoted to physics.

Step-by-step explanation:

The number of pages on bio is 0.47(428) = 201 (rounded up from 201.16);

the number of pages for on chem is 0.28(428) = 120 (rounded up from 119.84), and so the total number of pages devoted to bio and chem is

201 + 120, or 321.

Subtracting this subtotal from the book's 428 pages yields 107.

There are 107 pages devoted to physics.

With a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the meanWith a population standard deviation of 10 and a sample size of 4, what is the standard error of the mean

Step-by-step explanation:

Answer:

116°

Step-by-step explanation:

Interior angles in a triangle are added up to 180°.

Therefore,

(14x + 4)° + (5x - 1)° + (2x + 9 )° = 180°

Now you can solve this equation and find the value of x.

[tex](14x + 4) + (5x - 1) + (2x + 9 ) = 180[/tex]

[tex]14x+4+5x-1+2x+9=180[/tex]

[tex]14x+5x+2x+4-1+9=180[/tex]

[tex]21x+12=180[/tex]

[tex]21x=180-12[/tex]

[tex]21x=168[/tex]

[tex]\frac{21x}{21}= \frac{168}{21}[/tex]

[tex]x=8[/tex]

Now let's find the value of angle A

14x + 4

14 × 8 + 4

116°

Answer: $4.29?

Step-by-step explanation:

3 pack /3 = $12.88 /3

1 pack = 4 22/75 or approx $4.29

A) The monthly percentage rate of Felix is;

B) The monthly percentage rate of Oscar is;

C) The amount that Oscar will pay more than Felix is; $0.96

A) Felix was given a card with APR of 14%.

Thus;

Monthly percentage rate = 14%/12 = 1.63%

B) Oscar was given a card with an APR of 21%. Thus;

Monthly percentage rate = 21%/12 = 1.75%

C) We are told that each of them had an average daily balance of $800 for a specific month.

Thus;

Amount paid by Felix = 800 * 1.63%

Amount paid by Felix  = $13.04

Amount paid by Oscar = 800 * 1.75%

Amount paid by Oscar = $14

Difference in Payments = $14 - $13.04 = $0.96

Thus, Oscar pays $0.96 more than Felix.

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a. felix: 14/12 = 1.167% (round to nearest hundredth = 1.17%)

b. oscar 21/12 = 1.75% (no need to round here)

c.

felix: (1.17/100) x 800 = 9.36

oscar: (1.75/100) x 800 = 14.00

14.00 - 9.36 = 4.64

oscar will pay $4.64 more than felix.

Answer:

A. 2(a+5) = 16

2a + 10 = 16

2a = 16-10

2a = 6

2a÷2 = 6÷2

a = 3

B. 4p-2/3 = 7/3

4p = 7/3 + 2/3

4p = 3

4p÷4 = 3÷4

p = 3/4

C. 3y/2 + 8 = -4

3y/2 = -4 - 8

3y/2 = -12

[ 3y/2 = -12 ] 2

3y = -24

3y ÷ 3 = -24 ÷ 3

y = -8

[tex] \: \: \: \: \: [/tex]

A.) a = 3

B.) p = ¾

C.) y = -8

refer to the attachment

[tex] \: \: \: \: \: \: \: \: [/tex]

Answer:

The scuba diver is 27 feet below sea level.

-

Hope this will assist you.

The position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

Since a fish swims 6 feet directly above a scuba diver, and the fish suddenly dives to double its depth under the surface of the ocean, and the fish dives to a depth of −42 feet, to determine what is the position of the scuba diver relative to the surface of the ocean, the following calculation must be performed:

Therefore, the position of the scuba diver relative to the surface of the ocean is 27 feet under the surface.

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Answer:

x = -6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

9(x+5)=−9

(9)(x)+(9)(5)=−9(Distribute)

Step 2: Subtract 45 from both sides.

Step 3: Divide both sides by 9.

Hello there! :)

9(x+5)=-9

Use the Distributive Property:

9(x+5)=-9

9x+45=-9

9x=-9-45

9x=-54

Divide both sides by 9:

x=-6

Hope it helps you! :) Feel free to ask me if you have any questions.

~A smiley teen who adores helping others

[tex]MagicalNature[/tex]

Answer:

...

Step-by-step explanation:

Answer:

x=8 that's the answer for the question

Answer: 3

Step-by-step explanation:

We know that p(t) = 11:

11=2t+5

11-5=2t

6=2t

6/2 = t

3 = t