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snow_lady [41]
3 years ago
10

Simplify the expression where possible. (-5x2)^3

Mathematics
1 answer:
Paul [167]3 years ago
6 0

Answer:

-1000

Step-by-step explanation:

1. Do the Parenthesis problem first. (PEDMAS/PEMDAS)

You should then have -10^3

2. Solve with the exponent. (-10 x 10 x 10)

You should then get your final answer, which is -1000.

Any Questions/Concerns?

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Approximate the zeros of the function. Round to the nearest tenth if necessary. f(x) = 4x^2 + 4x - 35. Explain each step on how
svet-max [94.6K]
4x²+4x-35=0
factor: (2x+7)(2x-5)=0
2x+7=0, or 2x-5=0
2x=-7 or 2x=5
x=-3.5 or x=2.5

I don't see any rounding necessary in this case. 

when you factor ax²+bx+c, you take the two factors of a and the two factors of c, one factor of a times one factor of c, the other factor of a times the other factors, the sum of the two products make b.
in this case, the factors of 4 is 2 and 2, the factors of -35 is -5 and 7. I line them up in the following way:
2    -5

2      7
then I multiple them diagonally, the top left 2 multiplying the bottom right 7=14, and the other 2 multiplying -5=-10, 14 and -10 make a sum of 4.

if you don't get the desired sum, switch the factors up and down till you have the right combination. Note: Do not switch left and right. 

I hope this makes sense to you.
8 0
3 years ago
I really need help I have 20 minutes
nlexa [21]

Answer:

a. -1.7

b. -1.2

c. -0.5

d. 0.6

e. 1.1

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
represents a line that passes through (3, –2) with a slope of negative StartFraction 4 Over 5 EndFraction?
erik [133]

Answer:

y =  \frac{4}{5} x -  \frac{22}{5}

Step-by-step explanation:

y = mx + b

- 2 =  \frac{4}{5} (3)  + b \\  - 2 =  \frac{12}{5}  + b \\  - 2 -  \frac{12}{5}  = b \\   - \frac{10}{5}  -  \frac{12}{5}  = b \\  -  \frac{22}{5}  = b

Therefore, the equation of the line that goes through point (3, -2)and has slope ⅘ is

y =  \frac{4}{5} x  -  \frac{22}{5}

6 0
2 years ago
Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Write a probability model for this ex
allsm [11]

Answer:

We estimate to have 8.33 times the number 6 in 50 trials.

Step-by-step explanation:

Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.

P(X=k) = \binom{50}{k}(\frac{1}{6})^k(\frac{5}{6})^{50-k}

We will estimate the number of times that she spins a 6 as the expected value of this random variable.

Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.

Then , in this case, with n=50 and p=1/6 we expect to have \frac{50}{6} number of times of having a 6, which is 8.33.

6 0
3 years ago
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the line plot below shows how many points fewer trevor scored in 20 games. In how many games did trevor score 18 points fewer?
Amanda [17]
It should be 00.0076
3 0
3 years ago
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