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3 years ago

Which represents the solution(s) of the graphed system of equations, y = x2 + 2x – 3 and y = x – 1?

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer:

y = -4/3 x=-1/3

Step-by-step explanation:

y = x2 + 2x – 3 and y = x – 1

y= (y + 1)2 + 2(y + 1) - 3 and x= y+ 1

y= 2y + 2 + 2y +2 and x= y+ 1

-3y = 4 and x= y+ 1

y = -4/3 and x = (-4/3) + 1 = -1/3

x2 is x squared or x multiplied by two

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Is the quotient of an integer divided by a nonzero integer always a rational number ? Explain.

Ber [7]

Yes. Examples: 1/1=1 2/4=2 1/2=0,5 1/0=?

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4 years ago

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3 years ago

Suppose an article reported that 14% of unmarried couples in the United States are mixed racially or ethnically. Consider the po

Anvisha [2.4K]

Answer: $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

Step-by-step explanation:

In sampling distribution of $\hat{p}$ .

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p$

$\sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$ , where p= population proportion and n= sample size.

Let p be the population proportion of unmarried couples in the United States are mixed racially or ethnically.

As per given , we have

n = 100

p= 14% =0.14

Then, the mean and standard deviation of the sampling distribution of p will be :

$\mu_{\hat{p}}=0.14$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(1-0.14)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.14(0.86)}{100}}$

$\sigma_{\hat{p}}=\sqrt{\dfrac{0.1204}{100}}$

$\sigma_{\hat{p}}=\sqrt{0.001204}$

$\sigma_{\hat{p}}=0.0346987031458\approx0.0347$

Hence, the required answer : $\mu_{\hat{p}}=0.14$ and $\sigma_{\hat{p}}=0.0347$

8 0

3 years ago

The indoor pool has a temperature of 24 The outdoor pool has a temperature of 23 Which pool has a higher temperature And which p

Ludmilka [50]

Answer:

The indoor pool has a higher temperature and also has the greatest absolute value.

Step-by-step explanation:

The indoor pool has a higher temperature becasue 24 is greater than 23. It also has a bigger absolute value because the absolute value how much a number is from 0.

So the absolute value of 24 is 24.

The absolute value of 23 is 23.

24 is greater so the indoor pool also has a bigger absolute value.

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3 years ago

Which are true about area of a circle? Check all that apply

NNADVOKAT [17]

Answer:

The units are always squared. The area can be found when given the diameter by first finding the radius. Circumference can be used to find area

Step-by-step explanation:

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3 years ago