2/5ab What are the factors of the expression? Drag all of the factors of the expression into the box. Factors −1 2 5 2 5 a b

According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 – 57x – 18. Which is an actual root of

emmainna [20.7K]

Answer: The correct option is third, i.e., $-\frac{1}{4}$ .

Explanation:

The given function is,

$f(x)=60x^2-57x-18$

The Rational Root Theorem states that the rational roots are in the form of,

$r=\frac{\text{factors of constant term}}{\text{factor of leading coefficient}}$

These rational roots are possible rational roots not the actual roots of f(x).

For actual roots of f(x), the value of the function is 0.

Put each value of x from the option in the function, if we get the value of f(x) is 0, then that value is the actual root of f(x).

Put x=3.

$f(3)=60(3)^2-57(3)-18=351\neq 0$

Put x=6

$f(6)=60(6)^2-57(6)-18=1800\neq 0$

Put $x=-\frac{1}{4}$

$f(-\frac{1}{4})=60(-\frac{1}{4})^2-57(-\frac{1}{4})-18=0$

Put $x=-\frac{6}{5}$

$f(-\frac{6}{5})=60(-\frac{6}{5})^2-57(-\frac{6}{5})-18=136.8\neq 0$

Only for $x=-\frac{1}{4}$ the value of function is 0, therefore the correct option is third.

7 0

3 years ago

Read 2 more answers

Bill spent 60 dollars on fertilizer and weed killer for his lawn. Each pound of fertilizer costs 75 cents, and each ounce of wee

larisa86 [58]

Answer:

*3x + 10y = 240*

Step-by-step explanation:

A look at the image attached will provide more clarification

5 0

3 years ago

A driver drives to school along the same routine Monday through Friday. There is one traffic light on her route . The probabilit

andrey2020 [161]

Answer:

0.525%

Step-by-step explanation:

Since we are trying to find the probability of a sequence of events we simply need to multiply the probability of each of these events happening separately from one another. We are told that the probability that the light will be red is 65% that means that the probability that it will be green and that the driver will not need to stop is 35%. This probability remains the same every day of the week. Therefore we need to multiply this probability 5 times, one time for each weekday Monday through Friday, but first we need to turn this percentage into a decimal form by dividing it by 100...

35% / 100 = 0.35

0.35 * 0.35 * 0.35 * 0.35 * 0.35 = 0.00525 ...multiply by 100 to get percentage

0.00525 * 100 = 0.525%

Finally, we can see that the probability that she will not have to stop at the light all next week is 0.525%

8 0

3 years ago

Which of the following statements is

Ad libitum [116K]

You’re answer would be B love!

7 0

4 years ago

What is the solution of this function

Snowcat [4.5K]

(0, -2) that should be the function.

4 0

3 years ago