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3 years ago

What is the quotient when −3x3 + 5x + 14 is divided by x − 2?

Mathematics

2 answers:

ASHA 777 [7]3 years ago

6 0

The answer is A. -3x2 - 6x - 7

Anika [276]3 years ago

6 0

Answer:

$-3x^{2} -6x-7$

Step-by-step explanation:

The given expression is :

$\frac{-3x^{3}+5x+14}{x-2}$

Factoring $-3x^{3}+5x+14$

Factor out common term -1

$3x^{3}-5x-14$

Now dividing leading coefficients of numerator and divisor.

$\frac{3x^{3}}{x}=3x^{2}$

Multiplying x-2 with $3x^{2}$ = $3x^{3}-6x^{2}$

Subtracting $3x^{3}-6x^{2}$ from $3x^{3}-5x-14$

we get $6x^{2} -5x-4$

Therefore, $\frac{-3x^{3}+5x+14}{x-2}$ = $3x^{2} +\frac{6x^{2}-5x-14}{x-2}$

Now repeating these same steps until (x-2) is factored out, we get the quotient as :

$-3x^{2} -6x-7$

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This partial circle has a radius of 11 inches.

Alecsey [184]

First, find the area of the circle
pie*radius to the power of 2(radius*raduis)
(11*11=121) 121*3.14=379.94
take your answer and divide it by 4 we would divide it by 2 if we had a semicircle but since we have a 3/4 circle we divide by 4 and then times the Quotient by 3
379.94/4=94.985
94.985*3=284.955
Round ur answer to the nearest tenth so it equals 284.96

4 0

3 years ago

Read 2 more answers

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fenix001 [56]

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3 years ago

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frez [133]

Answer:

Step-by-step explanation:

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3 years ago

Function f is an exponential function. It predicts the value of a famous painting, in thousands of dollars, as a function of the

nalin [4]

Answer:

$y=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (\frac{5}{4})^x$

$f(x)=8 \cdot (1.25)^x$

Step-by-step explanation:

We are going to see if the exponential curve is of the form:

$y=a \cdot b^x$ , ( $b\neq 0$ ).

If you are given the $y-$ intercept, then $a$ is easy to find.

It is just the $y-$ coordinate of the $y-$ intercept is your value for $a$ .

(Why? The $y-$ intercept happens when $x=0$ . Replacing $x$ with 0 gives $y=a \cdot b^0=a \cdot 1=a$ . This says when $x=0 \text{ that} y=a$ .)

So $a=8$ .

So our function so far looks like this:

$y=8 \cdot b^x$

Now to find $b$ we need another point. We have two more points. So we will find $b$ using one of them and verify for our resulting equation works for the other.