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garik1379 [7]
3 years ago
15

Which expression is equivalent to -9(x – 4) – 6x?

Mathematics
1 answer:
kvv77 [185]3 years ago
3 0
= -9(x – 4) – 6x
Multiply -9 by everything in parentheses first

= (-9*x) + (-9*-4) - 6x
= -9x + (36) - 6x

Combine like terms
= (-9x-6x) + 36

= -15x + 36

The middle choice is the answer:
-15x + 36

Hope this helps! :)
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Plz aswer and explain this to me i dont get it
WINSTONCH [101]

Answer: 36

Step-by-step explanation:

1) Find the prime factorization of 12

12=2*2*3

2) Find the prime factorization of 18

18=2*3*3

3) Multiply each factor the greater number of times it occurs in the first two steps above to find the LCM.

LCM=2*2*3*3

4) LCM=36

8 0
3 years ago
"A study conducted at a certain college shows that 56% of the school's graduates find a job in their chosen field within a year
KiRa [710]

Answer:

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

Step-by-step explanation:

For each student, there are only two possible outcomes. Either they find a job in their chosen field within one year of graduating, or they do not. The probability of a student finding a job in their chosen field within one year of graduating is independent of other students. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

56% of the school's graduates find a job in their chosen field within a year after graduation.

This means that p = 0.56

Find the probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

This is P(X \geq 1) when n = 6.

Either none find a job, or at least one does. The sum of the probabilities of these events is decimal 1. So

P(X = 0) + P(X \geq 1) = 1

P(X \geq 1) = 1 - P(X = 0)

In which

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.56)^{0}.(0.44)^{6} = 0.0073

P(X \geq 1) = 1 - P(X = 0) = 1 - 0.0073 = 0.9927

99.27% probability that among 6 randomly selected graduates, at least one finds a job in his or her chosen field within a year of graduating.

8 0
3 years ago
A student is assessing the correlation between the number of hours a plant receives sunlight and the height to which it grows. T
serg [7]

Answer:

see below

Step-by-step explanation:

Part A

Notice that for each increase of 1 in x, there is an increase of 3 in y

There is a correlation between the amount of sunlight and the height of the plant

Part B

The slope in change in y over change in x

m = 3/1 = 3

y= mx+b

y = 3x+b

The y intercept is when x =0  so b = 4

y = 3x+4

Part C

With no sunlight the plant is 4 cm tall.  As the plant gets more sunlight, the plant grows at 3 cm per hour of sunlight.

6 0
3 years ago
Read 2 more answers
One T-shirt is sold for every 5 people who attend a concert.
Tcecarenko [31]

Answer:

5:1

Step-by-step explanation:

That's just how ratios work.

5 0
3 years ago
Need help with this problem
lesantik [10]
2sinxcosx is equal to sin(2x)


therefore,

= sin(2x)/cos(2x)
= tan(2x) (ANSWER)
4 0
3 years ago
Read 2 more answers
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