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Levart [38]
3 years ago
7

Let f(x) = 6x2-5 and g(x) = 2x-1. Find f.g. PLEASE HELP WITH REAL ANSWERS

Mathematics
2 answers:
KiRa [710]3 years ago
7 0

Answer:

f of g = 24x²+24x+1

Step-by-step explanation:

f(g(x)) = 6(2x-1)²-5

= 6(2x-1)(2x-1)-5

= 6(4x²+4x+1)-5

= 24x²+24x+6-5

= 24x²+24x+1

grandymaker [24]3 years ago
6 0

Answer:

12x3 − 6x2 − 10x + 5

Step-by-step explanation:

Let f(x) = 6x2 − 5 and g(x) = 2x − 1.

Find f · g. The domain is the set of all real numbers.

Use the multiplication operation.

(f · g)(x) = f(x) · g(x)

Substitute the given expressions for f(x) and g(x).

f · g = (6x2 − 5)(2x − 1)

Use the FOIL method.

= 12x3 − 6x2 − 10x + 5

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CAN SOMEONE HELP ME PLEASE ASAP!?
belka [17]

Answer:

B. 2

Step-by-step explanation:

1.87

11 x 17  / 100  = 1.87

4 0
2 years ago
Solve the system using elimination.<br><br> 2x + 3y = 17<br> x + 5y = 19
ale4655 [162]

\left\{\begin{array}{ccc}2x+3y=17\\x+5y=19&|\text{multiply both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}2x+3y=17\\-2x-10y=-38\end{array}\right}\qquad\text{add both sides of equations}\\.\qquad\qquad-7y=-21\qquad\text{divide both sides by (-7)}\\.\qquad\qquad \boxed{y=3}\\\\\\\text{Substitute the value of y to the second equation}\\\\x+5(3)=19\\\\x=15=19\qquad\text{subtract 15 from both sides}\\\\\boxed{x=4}\\\\Answer:\ x=4\ and\ y=3.

5 0
3 years ago
The height of a sunflower is normally distributed with a mean of 14.2 feet and a standard deviation of 2.15. What is the probabi
tekilochka [14]

Answer:

0.153

Step-by-step explanation:

Chjmk

In this question, we are asked to calculate the probability of selecting a sunflower greater than a particular height.

What to do in this case is to first find the z-score based on this information given.

Mathematically,

Z-score = x- mean/standard deviation

Here, z-score will have a value of;

(16.4-14.2)/2.15 = 1.023

Therefore,

P(height >16.4ft) = P(Zscore >1.023) = 1-Fz(1.023) = 0.153

4 0
3 years ago
Adam is building a rectanglar swimming pool. The perimeter of the pool must be no more then 120 feet. If the length of the pool
jasenka [17]

Answer:

W\leq 38\ ft

The maximum width must be 38\ ft

Step-by-step explanation:

Let

L ----> the length of the rectangular pool

W ---> The width of the rectangular pool

we know that

P\leq 120\ ft  

P=2(L+W)

so

2(W+L)\leq 120 ----> inequality A

we have

L=22\ ft

substitute the value of L in the inequality A

2(W+22)\leq 120

simplify

(W+22)\leq 60

W\leq 60-22

W\leq 38\ ft

The maximum width must be 38\ ft

3 0
3 years ago
A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Ei
Tamiku [17]

Answer:

First option is correct.

Step-by-step explanation:

Let amounts of money James may have after he sees Rita be x.

It is given that either James borrowed $12 from his friend Rita or she borrowed $12 from him.

So meeting Rita second time either he will $12 or he will receive $12.

The amounts of money James may have after second meeting with Rita is:

Case 1: If he pays $12.

x=42.80-12             .... (1)

Case 1: If he receives $12.

x=42.80+12           .... (2)

On combining equation (1) and (2), we get

x=42.80\pm 12

Subtract 42.80 from both sides.

x-42.80=\pm 12

It can be written as

|x-42.80|=12

Therefore first option is correct.

4 0
3 years ago
Read 2 more answers
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