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2 years ago

Which expression shows the distance on the number line between −12 and −1 ?

Mathematics

1 answer:

Naddik [55]2 years ago

6 0

Answer: A or D i think sorry if wrong but a i think

Step-by-step explanation:

but The distance between A and B = |B - A|

We have -12 and -1.

Substitute:

|-1 - (-12)| = |-1 + 12| = |11| = 11

Answer: 11 units

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What must be a factor of the polynomial function fx) graphed on the coordinate plane below?

Reptile [31]

See in the explanation

<h2>Explanation:</h2>

Hello! Recall that you need to write complete questions in order to get good and precise answers. However, I'll try to explain this problem in a general way. The definition of polynomial functions states:

$A \ \mathbf{polynomial \ function} \ of \ x \ with \ degree \ n \ is \ given \ by:\\ \\ f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+\ldots +a_{2}x^{2}+a_{1}x+a_{0} \\ \\ where \ n \ is \ a \ nonnegative \ integer \ and \ a_{n}, a_{n-1}, \ldots a_{2}, a_{1}, a_{0} \\ with \ a_{n}\neq 0$

Suppose we have the following polynomial function:

$f(x)=x^3+x^2-8x-12$

If $(x-3)$ is a factor of this polynomial function, we can write $f(x)$ as:

$f(x)=\left(ax^2+bx+c\right)\left(x-3\right)$

In whose case:

$f(3)=0$

Evaluating $x=3$

$f(x)=x^3+x^2-8x-12 \\ \\ f(3)=3^3+3^2-8(3)-12 \\ \\ f(3)=27+9-24-12 \\ \\ f(3)=32-32 \\ \\ f(3)=0$

So in conclusion:

$(x-3) \ is \ a \ factor \ of \ f(x)=x^3+x^2-8x-12$

The graph is shown below and is consistent with our conclusion.

<h2>Learn more:</h2>

Complex zeros: brainly.com/question/13728954

#LearWithBrainly

8 0

2 years ago

If <img src="https://tex.z-dn.net/?f=%20%5Crm%20log_%7B3%7D%28%20%7C5%20-%202x%7C%20%29%20%20%3E%204" id="TexFormula1" title=" \

Greeley [361]

$\log_3|5-2x| > 4\\\log_3|5-2x| > \log_33^4\\|5-2x| > 3^4\\|5-2x| > 81\\5-2x > 81 \vee 5-2x < -81\\2x < -76 \vee 2x > 86\\x < -38 \vee x > 43\\x\in(-\infty,-38)\cup(43,\infty)$

7 0

1 year ago

The swimming pool is being used for lane swimming. There are 8 lanes in the pool. 3 of the lanes are reserved for swimmers. what

Usimov [2.4K]

Answer:

62.5%

Step-by-step explanation:

5/8 = 0.625 = 62.5%

4 0

2 years ago

Select the correct answer. If , which statement is true? if g(x) = f(1/3x)

sergey [27]

Answer:

B. The graph of function f is stretched horizontally by a scale factor of 3 to create the graph of function g.

Step-by-step explanation:

The rules for linear transformations are that

g(x) = a·f(b·(x-c)) +d

stretches the graph vertically by a factor of "a" (before the shift)

compresses the graph horizontally by a factor of "b" (before the shift)

shifts it to the right by amount "c"

shifts it up by amount "d".

Your equation has b=1/3, so the graph is compressed by a factor of 1/3, which is equivalent to a stretch by a factor of 3.

The appropriate choice of description is ...

b) the graph of g(x) is horizontally stretched by a factor of 3

6 0

2 years ago

Solve and check:<br> y = x + 4<br> y = 3x

Sav [38]

Answer:

X=2

Step-by-step explanation:

3x = x + 4

3x - x = 4

2x = 4

x = 4/2

x = 2

Check:

3(2) = 2 + 4

6 = 6

3 0

2 years ago