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hammer [34]
3 years ago
5

Let f(x) = -4x + 7

Mathematics
1 answer:
Tema [17]3 years ago
4 0

g(x) = 2x-6

f(x) = -4x +7

(g•f)(x) = g(f(x))

= 2(f(x)) - 6

= 2 ( -4x+7) -6

= -8x + 14 -6

= -8x +8

now

(g•f)(1) = -8(1) + 8= -8+8

= 0

so option a is answer

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What is the volume of a sphere with a radius of 5.9 inch rounded to the nearest 10th of a cubic inch
ololo11 [35]

Answer:

860.3

Step-by-step explanation:

43·π·5.93≈860.28954in³

860.28954 = 860.3

4 0
2 years ago
each of the 20 balls is tossed independently and at random into one of the 5 bins. let p be the probability that some bin ends u
amm1812

if p is the probability that some bin ends up with 3 balls and q is the probability that every bin ends up with 4 balls. pq is 16.

First, let us label the bins with 1,2,3,4,5.

Applying multinomial distribution with parameters  n=20  and  p1=p2=p3=p4=p5=15  we find that probability that bin1 ends up with 3, bin2 with 5 and bin3, bin4 and bin5 with 4 balls equals:

5−2020!3!5!4!4!4!

But of course, there are more possibilities for the same division  (3,5,4,4,4)  and to get the probability that one of the bins contains 3, another 5, et cetera we must multiply with the number of quintuples that has one 3, one 5, and three 4's. This leads to the following:

p=20×5−2020!3!5!4!4!4!

In a similar way we find:

q=1×5−2020!4!4!4!4!4!

So:

pq=20×4!4!4!4!4!3!5!4!4!4!=20×45=16

thus, pq = 16.

To learn more about Probability visit: brainly.com/question/29508225

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7 0
1 year ago
Find the final amount for the investment given you initially have $5500 earning
stich3 [128]
Is the final value
P is the initial principle
r is the (annual) interest rate (as a decimal)
t is time (years)

10500%2Ae%5E%28%28.0625%2A25%29%29
5 0
3 years ago
The cost for 7 dance lessons is 82$. The cost for 11 lessons is 122$. Write and solve an equation to find the cost of 4 lessons
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Answer:

$52

Step-by-step explanation:

Using the equation

y=mx+c

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122=11x+c

11x-7x=122-82

4x=40

x=10

To get c

82=7(10)+c

82-70=c

c=12

For 4 lessons

y=10(4)+12=52

6 0
3 years ago
my sister wants to watch 6 star wars movies ,if each movie. is 2 hours , how long will it take her to watch all of the movies?
poizon [28]
12 hours, 6 x 2 = 12.
4 0
3 years ago
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