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exis [7]
3 years ago
12

Find the product or (x^2+4x-3)(2x^2+x+6)

Mathematics
1 answer:
Stells [14]3 years ago
5 0
The answer is
3x^2+5x+3
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Mika rides his bike 3 miles each way to his friend's house. He leaves his house at 4 p.m. How many miles does he ride his bike t
marusya05 [52]

Answer:

How many miles does he ride his bike there and back?

6 miles.

What information is extra?​

The hour at which he leaves his house.

Step-by-step explanation:

We know that he rides 3 miles each way.

Then he rides 3 miles from his house to his friend's house, and another 3 miles from his friend's house to his house.

So he rides 3 miles both times, if we add that, we get:

3 miles + 3 miles = 6 miles

So:

How many miles does he ride his bike there and back?

6 miles.

And to answer the other question, we need to look at the given information that we did not use in this calculation. In this case, is the hour at which he leaves his house.

Notice that we never did use the fact that he leaves his house at 4 p.m.

Then:

What information is extra?​

The hour at which he leaves his house.

6 0
3 years ago
Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour?
STatiana [176]
Whole hour - 2/3 = 1/3

1/3 + 1/6 = 2/6 + 1/6
              = 3/6

Harris can sew half of a pair of jeans per hour.
3 0
3 years ago
Read 2 more answers
The distribution of heights for adult men in a certain population is approximately normal with mean 70 inches and standard devia
KengaRu [80]

Answer:

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12]

Step-by-step explanation:

I beleive those options corresponds to another question, i will ignore them. We want to know an interval in which the probability that a height falls there is 0.8.

In such interval, the probability that a value is higher than the right end of the interval is (1-0.8)/2 = 0.1

If X is the distribuition of heights, then we want z such that P(X > z) = 0.1. We will take W, the standarization of X, wth distribution N(0,1)

W = \frac{X-\mu}{\sigma} = \frac{X-70}{4}

The values of the cumulative distribution function of W, denoted by \phi , can be found in the attached file. Lets call y = \frac{z-70}{4} . We have

0.1 = P(X > z) = P(\frac{X-70}{4} > \frac{z-70}{4}) = P(W > y) = 1-\phi(y)

Thus

\phi(y) = 1-0.1 = 0.9

by looking at the table, we find that y = 1.28, therefore

\frac{z-70}{4} = 1.28\\z = 1.28*4+70 = 75.12

The other end of the interval is the symmetrical of 75.12 respect to 70, hence it is 70- (75.12-70) = 64.88.

The interval (meassured in Inches) that represent the middle 80% of the heights is [64.88, 75.12] .

Download pdf
8 0
3 years ago
Use the integer tiles to evaluate the following expressions. 6 + 3 = 6 + (–4) = 6 + (–6) =
babunello [35]

Given:

The expressions are:

6+3

6+(-4)

6+(-6)

To find:

The value of given expression by using integer tiles.

Solution:

We have,

6+3

Here, both number are positive. When we add 6 and 3 positive integer tiles, we get 9 positive integer tiles as shown in the below figure. So,

6+3=9

Similarly,

6+(-4)

Here, 6 is positive and -4 is negative. It means we have 6 positive integer tiles and 4 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 2 positive integer tiles as shown in the below figure. So,

6+(-4)=2

6+(-6)

Here, 6 is positive and -6 is negative. It means we have 6 positive integer tiles and 6 negative integer tiles.

When we cancel the positive and negative integer tiles, we get 0 integer tiles as shown in the below figure. So,

6+(-6)=0

Therefore, 6+3=9, 6+(-4)=2,6+(-6)=0.

8 0
3 years ago
What is the equation of the circle whose diameter expands from point A = (-3,-2) to B= (1,4).
blsea [12.9K]
1,4
—— —> 1 divided by -3 or 4 divided by -2
-3,-2
6 0
3 years ago
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