Can some one me with these. im struggling real bad.

19) k=-3

20) h = 1

Step-by-step explanation:

For question 19:

g(x) is f(x) shifted downwards by 3 units. Thus, g(x)=f(x)-3=|x|-3

For question 20:

t(x) is f(x) shifted rightward by 1 unit.

f(x)=|x - 0|, and t(x) = |x - 1|

If you let x = 1, then t(1) = 0.

Any x < 1 or x > 1 will t(x) more than 0

Thus, h = 1

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~

the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

the root or roots of a polynomial are the values of the variable that makes the polynomial equal to 0. we can find the roots of a polynomial making the expression equal to 0 and then, isolating the variable (it it has just one variable).

for example, given the following polynomial:

the root or zero of the polynomial, can be found by making the expression equal to 0, and then, isolating the variable, so, finding the root we have:

therefore, we have that the root of the polynomial is equal to 2.

we must remember that the number of roots that a polynomial can have, will depend on the degree of the polynomial, a first degree polynomial have will have one single root, a second degree polynomial (quadratic expression) may have two roots and so.

hence the correct option is:

b. a value of the variable that makes the polynomial equal to zero.

have a nice day!