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3 years ago

Which of the following is a monomial ? 9/x 11x2 20x9-7x 20x -14

Mathematics

1 answer:

irakobra [83]3 years ago

8 0

Answer: 11x^2

Step-by-step explanation:

I suppose that the options are:

a) 9/x

b) 11x^2

c) 20x^9-7x

d) 20x -14

First, a polynomial is something like:

aₙx^n + .... + a₂*x^2 + a₁*x^1 + a₀*x^0

Where n is the degree of the polynomial, the therms a are the coefficients, and aₙ is the leading coefficient.

Depending on the number of terms of the polynomial, it takes different names.

If we have only one term, it is called a monomial, if it has two terms, it is called a binomial, and so on.

So if we want to find a monomial, then we need to look at the options with only one term.

The options with only one term are options a and b.

But option a is a quotient (we have a negative power of x: 9/x = 9*x^-1)

So this is not a polynomial, then the correct option is option b.

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Solve for q<br><br> - 3/4q = 12 <br><br> q = ___

Alex Ar [27]

$\text{We know: } \\ \boxed{\frac{\ -3\ }{\ 4\ }*q=12 } \\ \\ q=12: \frac{\ -3\ }{\ 4\ } \\ \\ q=12* \frac{\ 4\ }{\ -3\ } \\ \\ q= \frac{\ 48\ } {\ -3\ } \\ \\ q=-16 \\ ********** \\ \\ \text{Check:}\\ \\ \boxed{ \frac{-3}{4}*-16=12 } \\ \\ \frac{48}{4} =12 \ TRUE$

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3 years ago

Read 2 more answers

Which expression is equivalent to 28 + 7? Prove your answer by showing your work.

OverLord2011 [107]

Answer:

ok so first lets find the answer to the original question

28+7=35

so lets find which one is equal to 35

7(4+1)=28+7=35 yes

4(7+1)=28+4=32 no

4(7+3)=28+12=40 no

7(4+7)=28+49=77 no

a is the answer

Hope This Helps!!!

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2 years ago

Can someone please help me find the sum of each interior angle measure of the polygon, and can you please explain. I need help o

11Alexandr11 [23.1K]

Answer:

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Step-by-step explanation:

8 0

3 years ago

Restaurateur Denny Valentine is evaluating two sites, Raymondville and Rosenberg, for his next restaurant. He wants to prove tha

Aleksandr-060686 [28]

Answer:

$\bar X_1$ represent the sample for the sample 1

$\bar X_2$ represent the sample for the sample 2

$s_1$ represent the deviation for the sample 1

$s_2$ represent the deviation for the sample 2

$n_1 = 81$ represent the sample size for the group 1

$n_2 = 81$ represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis : $\mu_1 -\mu_2 \leq 0$

Alternative hypothesis: $\mu_1 -\mu_2 >0$

Step-by-step explanation:

Previous concepts

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this caseHe wants to prove that Raymondville residents (population 1) dine out more often than Rosenberg residents (population 2). So this statement need to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.

Solution to the problem

We assume that we have the following statistics:

$\bar X_1$ represent the sample for the sample 1

$\bar X_2$ represent the sample for the sample 2

$s_1$ represent the deviation for the sample 1

$s_2$ represent the deviation for the sample 2

$n_1 = 81$ represent the sample size for the group 1

$n_2 = 81$ represent the sample size for the group 2

And on this case if we create the system of hypothesis we have this:

Null hypothesis : $\mu_1 -\mu_2 \leq 0$

Alternative hypothesis: $\mu_1 -\mu_2 >0$

5 0

3 years ago

Y = x^2+ 7x - 5 can be written in the form y = (x + a)^2+b

BARSIC [14]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = (x - h)² + k (h, k) are the coordinates of the vertex

Given y = x² + 7x - 5

To express in vertex form use the method of completing the square

add/subtract ( half the coefficient of the x- term )²

y = x² + 2( $\frac{7}{2}$ )x + $\frac{49}{4}$ - $\frac{49}{4}$ - 5

y = (x + $\frac{7}{2}$ )² - $\frac{49}{4}$ - $\frac{20}{4}$

y = (x + $\frac{7}{2}$ )² - $\frac{69}{4}$

Hence

a = $\frac{7}{2}$ and b = - $\frac{69}{4}$

8 0

3 years ago