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3 years ago

Help needed please explain how this should be solved it will be appreciated!!

Mathematics

1 answer:

borishaifa [10]3 years ago

6 0

Option C:

$f(-3)=5$

Solution:

Given function:

$f(x)=|x-2|$

$f(x)=|x-2|$

Substitute x = -3 in the function.

$f(-3)=|-3-2|$

Subtract the number -3 - 2 = -5

$f(-3)=|-5|$

Apply the absolute rule:

$|-a|=a$

$|-5|=5$

$f(-3)=5$

Option C is the correct answer.

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Is the following relation a function?

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Hello from MrBillDoesMath!

Answer:

Yes.

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3 years ago

A ski shop owner surveys 200 people who ski or snowboard. If 196 people ski and 154 people do both activities, how many people s

lara [203]

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4 years ago

Read 2 more answers

15. In AABC if mZA is thirteen less than mzC and mZB is eleven less than four times m

vlabodo [156]

Answer:

$m\angle A=21$ °

$m\angle B=125$ °

$m\angle C=34$ °

Step-by-step explanation:

Let the measure of angle C be $x$ °.

Given:

In triangle ΔABC,

$m\angle A$ is thirteen less than $m\angle C$ and $m\angle B$ is eleven less than four times $m\angle C$ . This gives,

$m\angle A = x-13$

$m\angle B=4x-11$

Also, $m\angle C=x$

Now, for a triangle, the sum of all its interior angles is equal to 180°.

Therefore, $m\angle A + m\angle B + m\angle C=180$

Plug in all the values and solve for x. This gives,

$x-13+4x-11+x=180\\6x-24=180\\6x=180+24\\6x=204\\x=\frac{204}{6}=34$

Therefore, measure of angle C is 34°.

Measure of angle A is, $m\angle A=x-13=34-13=21$ °.

Measure of angle B is, $m\angle B=4x-11=4(34)-11=136-11=125$ °.

8 0

3 years ago

What two number multiply to -48 and add to -2?

Novosadov [1.4K]

Answer:

6 and -8

Step-by-step explanation:

Solve:

xy = 48

x + y = -2

You can say y = -2-x = -(x+2) and then substitute that in the first:

-x(x+2) = 48

-x² -2x - 48 = 0

x² + 2x + 48 = 0

Quadratic formula can do the rest if you don't "see" the factorization.

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4 years ago

if two equations in a system of linear equations are added and the result is 8x=0 the system has no solution true or false

Lesechka [4]

The answer is false. this is because you have to get the x by itself so you divide both sides by 8.

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hope this helps, God bless!

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3 years ago