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2 years ago

Given the definitions of f(x) and g(x) below, find the value of g( f(-5)).

Mathematics

1 answer:

tensa zangetsu [6.8K]2 years ago

7 0

Answer:

we conclude that:

g(f(-5)) = 30

Step-by-step explanation:

Given

f(x) = x+9

g(x) = x² + 7x – 14

To determine

g(f(-5)) = ?

First, we need to find f(-5)

f(x) = x+9

substitute x = -5

f(-5) = (-5)+9

f(-5) = -5+9

f(-5) = 4

g(f(-5)) = g(4)

Now, we need to find g(4)

g(x) = x² + 7x – 14

substitute x = 4

g(4) = (4)² + 7(4) - 14

g(4) = 16 + 28 - 14

g(4) = 30

i.e.

g(f(-5)) = g(4) = 30

Therefore, we conclude that:

g(f(-5)) = 30

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From least to Greatest: 8/100, 7/10, 3/5

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2 years ago

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If x-y = 40 and x+y = 70, then what is the value of x squared -y squared ?

OlgaM077 [116]

Let's see what to do buddy...

____________________________

Reminder:

$(a + b)(a - b) = {a}^{2} - {b}^{2}$

So we need to just Multiply above equations like this :

$x + y = 70$

$x - y = 40$

$(x + y)(x - y) = 70 \times 40$

${x}^{2} - {y}^{2} = 2800$

____________________________

And we're done.

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7 0

3 years ago

What is the value of x in the equation

MrRissso [65]

Answer:

x = -3

Step-by-step explanation:

In an equation our aim is to find the value of what we are looking for as well as keeping the equation balanced. For example if we took away 1.4 only from one side then the equation would change so it's an important rule to keep in mind when solving equations, that you need to keep both sides of the equation the same.

0.7x - 1.4 = -3.5

→ First multiply everything by 10 to make everything into a whole number

7x - 14 = -35

→ Plus 14 to both sides to isolate 7x

7x = -21

→ Divide both sides by 7 to isolate 7

x = -3

8 0

3 years ago

Can someone please help me find the horizontal asymptote of this graph I dont undestand

Andreas93 [3]

9514 1404 393

Answer:

p = 0

Step-by-step explanation:

The graph is of an exponential function. An exponential function always has a horizontal asymptote of 0.

p(t) = 5×2^t

p(t) → 0 as x → -∞

The horizontal asymptote is p = 0.

7 0

2 years ago

so, I need to just find the missing length, if you can, please explain the pythagorean theorem to find the missing side. I don't

ANTONII [103]

The surface area of the triangular prism is 828 in².

Solution:

Let the missing length of the triangle be x.

Using Pythagoras theorem,

In right triangle, square of the hypotenuse is equal to the sum of the squares of other two sides.

$12^2+x^2=15^2$

$144+x^2=225$

Subtract 144 on both sides of the equation.

$x^2=225-144$

$x^2=81$

Taking square root on both sides, we get

x = 9

The missing length of the triangle is 9 in.

Area of the front triangle = $\frac{1}{2}\times 12\times 9$

= 54 in²

Area of the back triangle = $\frac{1}{2}\times 12\times 9$

= 54 in²

Area of the sloping rectangle = 20 × 9

= 180 in²

Area of the back rectangle = 20 × 12

= 240 in²

Area of the base rectangle = 20 × 15

= 300 in²

Total area = 54 in² + 54 in² + 180 in² + 240 in² + 300 in²

= 828 in²

The surface area of the triangular prism is 828 in².

4 0

3 years ago