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Nady [450]
3 years ago
8

If f(x)=x+4 and g(x)=x^3 what is (g*f)(-3)

Mathematics
1 answer:
Molodets [167]3 years ago
4 0

Step-by-step explanation:

g*f(x)=g(x+4)=(x+4)³

g*f(-3)=(-3+4)³

= 1³=1

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Please answer this question I need it i. Vertex and standard form.
Brums [2.3K]

Equation :

This parabola is facing downwards and highest point of the parabola is it's vertex.

Highest point is (-2,2)

so the vertex is (-2,2)

The graph is passing through (-1,0)

Equation in vertex form is

y = a(x - h) {}^{2}  + k

0 = a( - 1 + 2) {}^{2}  + 2 \\ 0 =a (1) {}^{2}  +2 \\  0 = a + 2 \\ a =  - 2

Substitute back in Equation

y =  - 2(x  + 2) {}^{2}  + 2

the graph has two x intercepts -1 and -3

that means (x+1) and (x+3) are the factors

multiply factors to get the equation in standard form

-2(x + 1)(x + 3) = 0 \\ -2(x {}^{2}  + x + 3x + 3) = 0 \\  -2( x {}^{2}  + 4x + 3) = 0

-2x^2-8x-6=0

4 0
2 years ago
Sole <br> x/5 = 10<br> 1.x=50 2.x=2 3.x=15 4.x=5
Anarel [89]
The answer is 1.
( x = 50)
3 0
3 years ago
What is the measurement of 2 and 11​
vagabundo [1.1K]

<2=40° <11=60°

Because <1 was 140°, 2 is 40°. 40°+80°=120°

180°-120°=60°

6 0
3 years ago
Nichole's rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole
Marysya12 [62]

Answer:

153.9 ft²

Step-by-step explanation:

Given that:

Radius of circular lawn = 7 feets

To obtain the maximum number of square feet of lawn Nichole can expect the sprinkler to cover ; find the area of the lawn

Area of a circle, A = πr²

A = π * 7 * 7

A = 153.93804

A = 153.9 ft²

5 0
2 years ago
Frieda worked 26 hours 13 minutes last week. She earns $18.75 per hour. What is Frieda's pay for this work period? Round your an
Leya [2.2K]

Answer:

$491.56

Step-by-step explanation:

Total number of hours worked by Frieda = 26 hours 13 minutes

lets convert 13 minutes to hour

60 minutes = 1 hour\

1 minutes = 1/60 hours

13 minutes = 13/60 hours

Thus,

Total number of hours worked by Frieda = (26 + 13/60) hours

In 1 hours Freida earns =  $18.75

in  (26 + 13/60) hours Frieda earns =  $18.75((26 + 13/60)) = 487.5 + 4.06

in  (26 + 13/60) hours Frieda earns = $491.56  (Answer)

4 0
2 years ago
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