According to the Rational Root Theorem, the following are potential roots of f(x) = 60x2 – 57x – 18

Mathematics

2 answers:

Snowcat [4.5K]3 years ago

8 0

We have been given the function $f(x) = 60x^2 - 57x -18$

Now, the given potential roots are -6/5, -1/4, 3, 6. In order to find the actual root of this function, we substitute the root in the given function and if we get zero, then that would be the actual zero.

$f(-6/5)=60(-6/5)^2-55\cdot\frac{-6}{5} -18= \frac{684}{5}\neq 0\\\\f(-1/4)=60(-1/4)^2-55\cdot\frac{-1}{4} -18=0\\\\\\f(3)=60(3)^2-57(3)-18=351\neq 0\\\\f(6)=60(6)^2-57(6)-18=1800\neq 0$

We got zero for the value -1/4.

Hence, the actual root of f(x) is -1/4.

B is the correct option.

zzz [600]3 years ago

6 0

The correct answer for the question that is being presented above is this one: "-4 and 3." <span>According to the Rational Root Theorem, the following are potential f(x) 2x2 +2x 24. The actual roots of the quadratic equation based on the Rational Root Theorem are -4 and 3.</span>

You might be interested in

What is the derivative of y with respect to x if y = 2/X4

zepelin [54]

You're correct, the answer is C.

Given any function of the form $y=x^n$ , then the derivative of y with respect to x ( $\frac{dy}{dx}$ ) is written as:
$\frac{dy}{dx}=nx^n^-^1$

In which $n$ is any constant, this is called the power rule for differentiation.

For this example we have $y= \frac{2}{x^4}$ , first lets get rid of the quotient and write the expression in the form $y=x^n$ :
$y= \frac{2}{x^4} =2x^-^4$

Now we can directly apply the rule stated at the beginning (in which $n=-4$ ):
$\frac{dy}{dx}=(2)(-4)x^{-4-1}=-8 x^{-5}= -\frac{8}{x^5}$

Note that whenever we differentiate a function, we simply "ignore" the constants (we take them out of the derivative).

6 0

3 years ago

Help me plz with this giving brainless to the right answer

Soloha48 [4]

Answer:whats the question

Explanation:(pls dont report me as soon as u tell me the question i will edit my answer and answer correctly)

4 0

3 years ago

10 point help image i posted need help

lyudmila [28]

The answer should be b

6 0