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Minchanka [31]
3 years ago
11

Please Help Me With This problem

Mathematics
1 answer:
evablogger [386]3 years ago
5 0

Answer:

250

Step-by-step explanation:

First, we need to find h°g, which is the same thing as h(g(x))

This means that we will take the function h(x) and will replace each instance of x with x^2+x-6 as that is the value of g(x)

h(x)=5x\\\\h(g(x))=5g(x)\\\\h(g(x))=5(x^2+x-6)\\\\h(g(x))=5x^2+5x-30

Now that we have our composed function, we can find the y-value when x=7

h(g(7))=5(7^2)+5(7)-30\\\\h(g(7))=5(49)+35-30\\\\h(g(7))=245+5\\\\h(g(7))=250

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3 years ago
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Does the size of parachute affect the speed and why
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Suppose a couple planned to have three children. Let X be the number of girls the couple has.
sesenic [268]

Answer:

a) {GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) {0,1,2,3}

c)

P(X=2) = \dfrac{3}{8}

d)

P(\text{3 boys}) = \dfrac{1}{8}

Step-by-step explanation:

We are given the following in the question:

Suppose a couple planned to have three children. Let X be the number of girls the couple has.

a) possible arrangements of girls and boys

Sample space:

{GGG, GGB, GBG, BGG, BBG, BGB, GBB, BBB}

b) sample space for X

X is the number of girls couple has. Thus, X can take the values 0, 1, 2 and 3 that is 0 girls, 1 girl, 2 girls and three girls from three children.

Sample space: {0,1,2,3}

c) probability that X=2

P(X=2)

That is we have to compute the probability that couple has exactly two girls.

\text{Probability} = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}

Favorable outcome: {GGB, GBG, BGG}

P(X=2) =\dfrac{3}{8}

d) probability that the couple have three boys.

Favorable outcome: {BBB}

P(BBB) = \dfrac{1}{8}

8 0
3 years ago
Cedric and Josh both ordered the same size pizzas at Marco’s Pizzeria; however, they ordered different toppings. Marco’s charges
Oksanka [162]
Let
C---------> <span>the cost of a pizza
</span>t----------> <span>number of toppings

we know that
</span>$15.74-3t=$14.49-2t
15.74-14.49=3t-2t-------------> t=1.25

the cost of one topping is $1.25
and the cost of one pizza <span>without topping is
</span>15.74-3*1.25--------> $11.99

then
<span>an equation for the cost of a pizza, C, as a function of the number of toppings, t ordered is
</span>C=11.99+1.25t

the answer is 
C=11.99+1.25t
6 0
2 years ago
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