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3 years ago

consider the function f(x)=5(x+2)^(2)-3 which of the following function shifts the gragh of (x) upward by 4 units

Mathematics

1 answer:

ivolga24 [154]3 years ago

8 0

Answer:

$g(x)=5(x+2)^2+1$

Step-by-step explanation:

The given function is $f(x)=5(x+2)^2-3$ .

Let the new function be g(x).

Then g(x) is obtained by shifting f(x) up by 4 units.

This implies that: $g(x)=f(x)+4$

$g(x)=5(x+2)^2-3+4$

$g(x)=5(x+2)^2+1$

Hence the new function is $g(x)=5(x+2)^2+1$

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The circumference of Circle K is $\pi$ . The circumference of Circle L is $4\pi$ . Two circles, one labeled "Circle K" and the o

timurjin [86]

Answer:

Step-by-step explanation:

Given the circumference of Circle K = π

circumference of Circle L = 4π

Ratio of their circumferences = Ck/Cl

Ratio of their circumferences = π/4π

Ratio of their circumferences = 1/4 = 1:4

For their radii

C = 2πr

for circle k with circumference π

π = 2πrk

1 = 2rk

rk = 1/2

for circle l with circumference 4π

4π = 2πr

4 = 2r

r = 4/2

rl = 2

ratio

rk/rl = 1/2/2

rk/rl = 1/4 = 1:4

for the areas

Area of a circle = πr²

for circle k

Ak = π(1/2)²

Ak = π(1/4)

Ak = π/4

for circle l

Al = π(2)²

Al = 4π

Ratio of their areas

Ak/Al = π/4/(4π)

Ak/Al = π/16π

Ak/Al = 1/16 = 1:16

3 0

3 years ago

Which of the following are solutions to 2x^2-8x-90? select all that apply.

Lyrx [107]

<span>Simplifying:
2x2 + -8x + -90 = 0

Reorder the terms:
-90 + -8x + 2x2 = 0

Solving
-90 + -8x + 2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-45 + -4x + x2) = 0

Factor a trinomial.
2((-5 + -1x)(9 + -1x)) = 0

Ignore the factor 2.
Subproblem 1:

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying
-5 + -1x = 0

Solving
-5 + -1x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -1x = 0 + 5

Combine like terms:
-5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5

Combine like terms:
0 + 5 = 5 -1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

Subproblem 2:

Set the factor '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms:
9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9

Combine like terms:
0 + -9 = -9 -1x = -9

Divide each side by '-1'.
x = 9

Simplifying x = 9

Solution
x = {-5, 9}</span>

8 0

3 years ago

Read 2 more answers

A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram below models t

Airida [17]

Answer:

The quantity of total serving soup does restaurant has = T = 2 $\dfrac{2}{5}$ liters .