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3 years ago

Has one negative and one positive coefficient Simplifies to 5x + 12

Mathematics

1 answer:

rosijanka [135]3 years ago

8 0

Answer:

Step-by-step explanation:

whats the question here lol

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Solve the system of equations,

lorasvet [3.4K]

Answer:

x = 21/2

y = -19/2

Step-by-step explanation:

5x - 17 = 4y + 7x

5x - 7x - 4y = 17

-2x - 4y = 17

6x + 8y = - 13

-2x - 4y = 17 | ×2 |

6x + 8y = - 13 | ×1 |

-4x - 8y = 34

6x + 8y = - 13

___________+

2x = 21

x = 21/2

-2x - 4y = 17

-2(21/2) - 4y = 17

-21 - 4y = 17

-4y = 17 + 21

-4y = 38

y = -38/4

y = -19/2

7 0

3 years ago

(x-5)^3 expand each binomial

Nina [5.8K]

Answer:

$x^{3} -15x^{2} + 75x-125$

Step-by-step explanation:

6 0

2 years ago

You want to obtain a sample to estimate a population mean. Based on previous evidence, you believe the population standard devia

Arturiano [62]

Answer:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

s represent the sample standard deviation

n represent the sample size

Solution to the problem

The confidence interval for the mean is given by the following formula:

$\bar X \pm z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (1)

Since the Confidence is 0.99 or 99%, the value of $\alpha=0.01$ and $\alpha/2 =0.005$ , and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-NORM.INV(0.005,0,1)".And we see that $z_{\alpha/2}=2.58$

The margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (2)

And on this case we have that ME =+5 and we are interested in order to find the value of n, if we solve n from equation (2) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (3)

$n=(\frac{2.58(54.5)}{5})^2 =790.846 \approx 791$

So the answer for this case would be n=791 rounded up to the nearest integer

4 0

3 years ago

What are the two types of third–person points of view?

Sauron [17]

D)
Omniscient and limited.

There are three main types of third-person point of view: limited, objective, and omniscient.

8 0

4 years ago

Read 2 more answers

Given the two expressions below: 1) 4x2 − 8x + 9 2) 3x2 + 2y + 6 Is the sum of the two expressions above a polynomial? Why or wh

Mkey [24]

Sum of polynomials are always polynomials.

Note that despite it's name, single constants, monomials, binomials, trinomials, and expressions with more than three terms are all polynomials.
For example,
0, π sqrt(2)x, 4x+2, x^2+3x+4, x^2-x^2, x^5+x/ π -1
are all polynomials.

What makes an expression NOT a polynomial?
Expressions that contain non-integer or negative powers of variables, rational functions, infinite series.
For example,
sqrt(x+1), 1/x+4, 1+x+ x^2/2!+x^3/3!+x^4/4!+...., (5x+3)/(6x+7)
are NOT polynomials.

8 0

3 years ago

Has one negative and one positive coefficient Simplifies to 5x + 12​

Has one negative and one positive coefficient Simplifies to 5x + 12