A cone with radius 8 yd and a height of 16 yd

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

Answer: If you’re looking for the area it is 650.65 yd and if you’re looking for the volume it is 1072.33

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(02.06 MC)

Paul [167]

The inequality |2x − 6| less than or equal to 10 can be expressed as two form like this to get two value of x
2x-6 ≤ 10
2x≤10+6
x≤8

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2x-6 ≥ -10
2x≥-10+6
x≥-4

The graph of the inequality would be: 
x≤8 and x≥-4
or
-4≤x≤8

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Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?

Vilka [71]

Answer:

$\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}$

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

$\sf \implies p(x)=- x^3+cx^2-4x+3$

And the factor is ,

$\sf \implies g(x) = x + 3$

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

$\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}$