Type the correct answer in each box. Use numerals instead of words. Consider this expression. (x+5)(x-7) Complete the box to show the distributive property applied to this expression.

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Explanation:

We're given that f(x) = x^2

The function g(x) is vertically stretched to be five times taller. We see this with the point (1,5) on the purple graph since its counterpart is at (1,1) on the blue graph.

We look at how the y values changed. So we had gone from y = 1 to y = 5. This jump means "multiply by 5"

If we do this to all the y values on the blue graph, then all the points jump to a height 5 times taller. Something like (2,4) moves to (2,20). Something like (3,9) goes to (3,45). And so on. This is what produces the purple g(x) graph.

You could say that

g(x) = 5*f(x)

g(x) = 5x^2

This works because y = f(x), so when we say 5*f(x), we really mean 5*y.

Answer:

20 is correct answer

Step-by-step explanation:

8+3×4

=8+12

=20

Remember always follow bodmas rule

hope it helped you:)

thanks!

Answer: 25

Step-by-step explanation: 5^2 = 25, 5x5 = 25

Hope this helps!

2.2

did that help at all

Answer:

Possible value of k is √2

Step-by-step explanation:

The information given are;

The expression, 2·(√k - 1) + √8 to which may be added -6·√2 to obtain a rational number, we therefore have;

2·(√k - 1) + √8 - 6·√2 = R

Therefore, simplifying gives;

2·√k - 2 + 2·√2  - 6·√2 =  2·√k - 2 - 4·√2 = R

2·√k - 2 - 4·√2 + 2= R + 2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k - 2+ 2 - 4·√2 = R

2·√k + 0 - 4·√2 = 2·√k - 4·√2 = 2·(√k - 2·√2) = R

(√k - 2·√2) = R/2 = R

Therefore, √2 is a factor of √k such that √k - 2·√2 = R

Which gives k = x·√2, where x = a rational number

When x = 1, k = √2.

Therefore, a possible value of k is √2

Answer:

1.6g

Step-by-step explanation:

1 cup of tea= 0.8g

2 cups of tea= 0.8g×2= 1.6g

Answer:

The statement that describes a situation that can be modeled as a growth or decay over equal interval is;

C. A species of fly doubles its population every month during the summer

Step-by-step explanation:

We have for exponential growth or decay, the following equation;

Exponential growth or decay;

[tex]y = a \cdot b^t[/tex]

Where;

a = The initial amount of the item

1 + r =  The rate of growth in percentage

b = The growth or decay factor

t = The time

For exponential decay, we have;

0 < b < 1

b = 1 - r

[tex]y = a \cdot(1 - r)^t[/tex]

For exponential growth, we have;

b > 1

b = 1 + r

[tex]y = a \cdot(1 + r)^t[/tex]

Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;

[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]

Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.

Slope formula: y2-y1/x2-x1

We can use the points given to solve.

-2-4/3-(-2)

-6/5

Best of Luck!

Answer:

Odd integers are always one more that an even integer:

1st: 2n+1

2nd: 2n+3

Step-by-step explanation:

14n+7 = 10n+15

4n = 8

n = 2

------------

1st: 2n+1 = 5

2nd: 2n+3 = 7

7x=5*(x+2)

7x=5x+10

7x-5x=10

2x=10

x=5

5 and 7 are the two consecutive odd integers such that seven times the first equals five times the second.

Integers are the numbers consisting of whole numbers and the negatives of natural numbers.

Let 2n + 1 and 2n + 3 be the two consecutive odd integers.

We have the relation seven times the first integer equals five times the second.

7 (2n + 1) = 5 (2n + 3)

By distributive property,

(7 × 2n)  + (7 × 1) = (5 × 2n) + (5 × 3)

14n + 7 = 10n + 15

Taking the terms containing unknowns on one side and constants on other side,

14n - 10n = 15 - 7

4n = 8

n = 8 / 4

n = 2

So the first number = 2n + 1 = (2 × 2) + 1 = 5

and the second number = 2n + 3 = (2 × 2) + 3 = 7

Hence the two consecutive odd integers such that seven times the first equals five times the second is 5 and 7.

To learn more about Integers, click :

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Answer: 25 feet

Step-by-step explanation:

Answer:

25 feet

Step-by-step explanation:

10 times 2 is 20 and half of 10 is 5 so 20 and 5 = 25

Answer: x^2+2x-8<0

Step-by-step explanation:

A. x^2 - 2x - 8 < 0

(x - 4)(x + 2) < 0

B. x^2 + 2x - 8 < 0

(x + 4)(x - 2) < 0

C. x^2 - 2x - 8 > 0

(x - 4)(x - 2) > 0

D. x^2 + 2x - 8 > 0

(x + 4)(x - 2) > 0

When you test a point in the interval between -4 and 2, for example 0, it is negative.

[tex]x^2+2x-8 < 0[/tex] represents the given solution set.

A mathematical expression in which left hand side is not equal to right hand side is known as inequality.

The given solution set is x>-4 and x<2

Option A: [tex]x^2-2x-8 < 0[/tex]

(x+2)(x-4)<0

x<-2 and x<4

Option B: [tex]x^2+2x-8 < 0[/tex]

(x-2)(x+4)<0

x<-4 and x<2

Option C: [tex]x^2-2x-8 > 0[/tex]

(x+2)(x-4)>0

x>4 and x>-2

Option D: [tex]x^2+2x-8 > 0[/tex]

(x-2)(x+4)>0

x>-4 and x>2

Hence, [tex]x^2+2x-8 < 0[/tex] represents the given solution set.

Learn more about inequality here:

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Answer:

i think the answer is c. hope it helps <3

Step-by-step explanation:

Hey there! I'm happy to help!

First let's find the radius. The radius is half of the diameter.

9/2=4.5

Here's how to find the volume of any sphere.

You cube the radius.

4.5³=91.125

You multiply by 3.14

91.125(3.14)=286.1325

And finally we multiply by 4/3.

286.1325(4/3)=381.51

We round to the nearest tenth, giving us a volume of 381.5 in^3.

Have a wonderful day! :D

9 in = 3 in

v = 3,14x 3 x 3

= 28,26

Answer:

[tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex]

Step-by-step explanation:

Find two numbers whose quotient is -1 and the subtraction of the first minus the second is -3/2

Let two numbers are x and y. When they are divided the quotient is -1. So,

[tex]\dfrac{x}{y}=-1[/tex]

It can also be written as :

x = -y ....(1)

The subtraction of first minus the second is -3/2 .

[tex]x-y=\dfrac{-3}{2}\ .....(2)[/tex]

Use equation (1) in (2),

[tex]-y-y=\dfrac{-3}{2}\\\\-2y=\dfrac{-3}{2}\\\\y=\dfrac{3}{4}[/tex]

From equation (1) : [tex]x=\dfrac{-3}{4}[/tex]

Hence, two numbers are [tex]\dfrac{3}{4}\ \text{and}\ \dfrac{-3}{4}[/tex].

Answer:

See Below

Step-by-step explanation:

y = [tex]\frac{x-v}{b}[/tex]

Isolate x

First step, multiply both sides by b to get rid of fraction

y(b) = x - v

+v          +v

y(b) +v = x

Hope this helps!=)

Answer:

B) She should have included an exponent of 2 on the 3.

Step-by-step explanation:

Just took the test. Good luck!

Answer:

No

Step-by-step explanation:

Summer starts in June and ends in August, so this is not valid.

Bam

The value of the expression is -41.

The answer to f(-3)= -3^2+1 is 10 !!

Answer: 10

STEP BY STEP STEP BY STEP BY STEP

Answer:76

Step-by-step explanation: The answer is 76 because if you multiply 7.6 by 10 you shall receive 76 cakes.

Answer:

-20

Step-by-step explanation:

Answer:

it is -20

Step-by-step explanation:

Answer:

i smell penys

Step-by-step explanation:

Answer:

.........it equals 60.52200

Answer:

x + y are either 2 or 4

Step-by-step explanation:

conclusion x + y = 2 OR 4

Answer:

31 cm

Step-by-step explanation:

The complete question is attached.

A triangle is a polygon with three sides (three edges and three vertices). There are different types of triangles which are equilateral triangles, right triangles, scalene triangles, obtuse triangles, acute triangles, and isosceles triangles.

An equilateral triangle is a triangle in which all its sides are equal and all its angles are equal to 60°.

From the triangle, AB = BC = AC = 9.5 cm

Since the triangle is enlarged 3.25 times, hence:

new length of BC = 9.25 cm × 3.25 = 30.875

New length of BC = 31 cm to nearest cm

Answer:

W, M, A and G

Step-by-step explanation:

The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the  towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the  proper order of the four towns.

Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:

AB + BC = BC

Given that MG + WM = WG, this means that point M lies between the segment WG.

Also, MA = MG - AG

MA + AG = MG, hence point A lies between segment MG

Therefore the order of the points is W, M, A and G

Answer:

$4

Step-by-step explanation:

From the question we have it that jenna bought the 5 reams of paper at a price of 21

The tax on this was $1

The total cost of the paper minus tax = $20

Cost of 1 team = total cost of paper / quantity

= 20/5

From the equation

5x +1 = 21

5x = 21 -1

5x = 20

X = 20/5

X = $4

Therefore we have The cost of a team of paper to be equal to $4

Answer:

the mass is 75 kg

Step-by-step explanation:

80 KG

70m/s times forty=2800 divided by 80=35 +40=75

Answer:

  (-5/3, -4/3)

Step-by-step explanation:

  3 < 6c +13 < 5 . . . . given

  -10 < 6c < -8 . . . . . subtract 13

  -10/6 < c < -8/6 . . . divide by 6

We can express the interval using reduced fractions as ...

  (-5/3, -4/3)