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Gala2k [10]
3 years ago
12

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? 0 5 10 15

Mathematics
1 answer:
Elanso [62]3 years ago
7 0

Answer:  Second option is correct.

Explanation:

Since we have given that

f(x)=3x^4+2x^3-x^2+2x-19

And g(x)=x+2

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

x+2=0\\\\x=-2

So, we will find f(-2) which will give us the required remainder,

f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5

Hence, Second option is correct.

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HeLp with math pls!!!!
natulia [17]
Hi,


Work:

Equation;

( {2}^{4} )^{2}  =  {2}^{n}

Write an expression in the exponential form with a base of 2.

{2}^{8}  =  {2}^{n}

Since bases are the same, set the exponents equal.

8 = n

Switch the sides (RESULT)

n = 8


Hope this helps.
r3t40
4 0
3 years ago
A new amusement-park ride that lasts 1 minute can have up to 1200 riders per hour. How many riders can ride per minute?
hodyreva [135]

Answer:

20 riders can ride per minute.

Step-by-step explanation:

The picture says to divide to find the number of riders. If we apply this here, we can see that 1200 ÷ 60 is 20.

The reasoning behind this is:

There are 60 minutes in an hour.

If the park ride lasts a minute, then the ride can have 60 rides per hour.

The question states that the ride can have up to 1200 riders per hour, so you need to divide 1200 by 60.

1200 ÷ 60 = 20.

3 0
3 years ago
If f'(x) = 3(x+5) +-, what is ffa + 2)?
lubasha [3.4K]

Answer:

-13/3

Step-by-step explanation:

Let f(x)=A

x=f'(A)

x=3(A+5)

A=(x-15)/3

f(x)=(x-15)/3

ff(2)=(2-15)/3

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3 years ago
A gardener is testing various values of x for a rectangular garden with length 2x + 5 meters and width x – 3 meters. The product
vlabodo [156]
This is one of those questions where there's a list of choices that goes along with it,
but you're not sharing the list.

The product of (2x + 5) and (x - 3) is (2x² - x - 15) . That may be useful.
6 0
3 years ago
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AlexFokin [52]

Answer: T. F. F. T.

Step-by-step explanation:

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8 0
3 years ago
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