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2 years ago

Given the definitions of f(x) and g(x) below, find the value of f(g(-1)).

Mathematics

1 answer:

Mice21 [21]2 years ago

8 0

Answer:

Step-by-step explanation:

Given the definitions of f(x) and g(x) below,

f(x) = x^2+ x + 10

g(x) = -5x-3

f(g(x)) = f(-5x-3)

f(-5x-3) = (-5x-3)²+((-5x-3)+10

f(-5x-3) = 25x²+30x+9-5x-3+10

f(-5x-3) = 25x² +25x+16

f(g(x)) = 25x² +25x+16

f(g(-1)) = 25(-1)² +25(-1)+16

f(g(-1)) = 25-25 + 16

f(g(-1)) = 16

Hence f(g(-1)) is 16

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Mr Todd buys 7 drinks at 48p each and 8 drinks at 52p each. What is the total cost of the 15 drinks?

Lesechka [4]

Answer:

80p

if you are adding 4p every time you add a drink you will be adding 7 drinks therefore you have to do (7x4p) this will equal 28p then you have to add 28p to 52p

Hope this helps

6 0

3 years ago

dybincka [34]

Answer:

$57.2\ ft$

Step-by-step explanation:

we know that

The formula of slope is "rise over run", where the "rise" (means change in y, up or down) and the "run" (means change in x, left or right)

In this problem

The tangent of angle of 5 degrees is equal to the quotient of "rise over run"

Let

y ----> the rise of the ramp

x ----> the run of the ramp

$tan(5^o)=\frac{y}{x}$

we have

$y=5\ ft$

substitute and solve for x

$tan(5^o)=\frac{5}{x}$

$x=\frac{5}{tan(5^o)}$

$x=57.2\ ft$

5 0

3 years ago

I dont understand the problem i think it's 4.5 but i dont know

Anarel [89]

Answer:

probably 4.5

"Step-by-step explanation:

To break even, we need the total profit to be equal to 0. If we make x dollars in 2012, then we need to solve

2.5 + 1.75 + (-3.3) + (-1.4) + x = 0

This gives us x = 0.45 in thousands.

Since the question asks us to give the answer in hundreds, we multiply by 10 and get 4.5. Thus the profit in 2012 must be 4.5 (in hundreds) to break even."

8 0

1 year ago

At a carnival, Ann sold 314 bottles of drinks a day. She sold 66 bottles more in the afternoon then in the morning. How many bot

Paladinen [302]

Answer:

Ann sold 124 bottles of drinks in the morning

Step-by-step explanation:

Let

x ---> bottles sold in the afternoon

y ---> bottles sold in the morning

we know that

Ann sold 314 bottles of drinks a day

$x+y=314$ -----> equation A

She sold 66 bottles more in the afternoon than in the morning

$x=y+66$ ----> equation B

substitute equation B in equation A

$y+66+y=314$

solve for y

$2y=314-66\\2y=248\\y=124$

therefore

Ann sold 124 bottles of drinks in the morning

8 0

3 years ago

Find the probability of rolling a 2,3, or 4 on the number cube

kolezko [41]

Well, if you wanted the answer, it is provided in the picture that you yourself have uploaded. However, if need more clarification on how to find that answer. Here I go.

So, you can ask yourself, how many numbers are on the cube? 6, from 1-6. So there are 6 possible outcomes. Now between the numbers 1, 2, 3, 4, 5, 6, how many are the numbers 2, 3, or 4? There are 3, so it is 3/6, 1/2, 50%, or 0.5.

3 0

3 years ago