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Dahasolnce [82]
3 years ago
6

If h(x) = x – 7 and g(x) = x2, which expression is equivalent to (g•h)(5)?

Mathematics
2 answers:
vovangra [49]3 years ago
4 0
We are given with two functions: h(x) = x – 7 and g(x) = x2. In this problem, we are asked to determine the value of g(h(5)). first we get g(h(x)) which is equal to (x-7)2, when x is substituted by 5, then g(h(5)) = (5-7)^2 equal to 4.
Gre4nikov [31]3 years ago
4 0

(5-7)^2 because g(x) is the value of h(x) squared

x-7, s = 5

5-7)^2

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Please explain your answer
MariettaO [177]

Answer:

e = -1/2

Step-by-step explanation:

4/3 = -6e - 5/3

transfer -6e to the right

4/3 = -5/3 -6e

Find the LCM of 3,3and 1

and their LCM is 3. So, divide all through by 3

3(4/3) = 3(-5/3) - 6e × 3

4 = -5 -18e

combine

4 + 5 = -18e

9 = -18e

divide by -18

9/ -18 = -18e/ -18

-1/2 = e

e = -1/2


5 0
3 years ago
Carina spent a total of $5.27 buying a pineapple for $3.40 and several pounds of tomatoes that were on sale for $0.85 per pound.
gulaghasi [49]
Okay so I'm going to set up a equation:

5.27= 3.40+ 0.85x, we have our total our price of one pineapple and our variable

next I isolate the variable:

5.27-3.40=0.85x

next:

1.87=0.85x

x= 2.2

she bought 2.2 pounds of tomatoes
7 0
3 years ago
Read 2 more answers
The probability distribution of random variable, X, is defined as follows:
stealth61 [152]

Answer and Step-by-step explanation:

A) For the model to be a probability distribution, it has to follow two conditions:

1) The probability of each value of the discrete random variable is between, and included, 0 and 1:

2) The sum of all probabilities is 1;

In the table shown, the probabilities are from 0 to 0.3 - between 0 and 1;

Adding the probabilities: 0 + 0.3 + 0.1 + 0.3 + 0.3 = 1

Therefore, this model is a valid probability distribution model.

B) They are discrete because each value correspond to a finite number of possible values.

C) Expected value is calculated by

E(X) = \Sigma xP(x)

E(X) = 0.0 + 1*0.3 + 2*0.1 + 3*0.3 + 4*0.3

E(X) = 2.6

D) P(X=3) = P(3), which means probability of 3:

P(X=3) = 0.3

E) P(X<4): probabilities of values of X that are less than 4:

P(X<4) = P(0) + P(1) + P(2) + P(3)

P(X<4) = 0 + 0.3 + 0.1 + 0.3

P(X<4) = 0.7

F) P(X>0) = P(1) + P(2) + P(3) + P(4)

P(X>0) = 0.3 + 0.1 + 0.3 + 0.3

P(X>0) = 1

G) P(X=5) = P(5)

There is no probability of P(5) because the model doesn't "cover" that number.

H) P(X=0) = P(0)

P(X=0) = 0

I) The total area of any density curve is 1 because it represents all the possible values a variable can assume.

3 0
3 years ago
A street lamp is 14 ft tall. On a sunny day, the street lamp casts a shadow 8 ft long. What is
saw5 [17]

Answer:

60.25≈60.3°

Step-by-step explanation:

tanФ=14/8=1.75

Ф=arctan=1.75

tan-1  

60.25≈60.3

8 0
3 years ago
A hot-air balloon starts 6 feet above the ground and then rises 20 feet each minute.
kari74 [83]

At starting hot-air balloon starts 6 feet.

So, at t = 0 , h = 6 feet.

Now, distance travelled per minute is 20 feet.

So, extra distance travelled in t minutes is 20t feet.

Now,

Total height = Staring height + increase in height w.r.t time.

h = 6 + 20t

Therefore, the height h in feet as a function of time t in minutes is h = 6 + 20t .

Hence, this is the required solution.

8 0
3 years ago
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