All categories

3 years ago

Use synthetic division and the Remainder Theorem to find f(4) if f(x) = – 2x3 + 9x2

Mathematics

1 answer:

Elis [28]3 years ago

6 0

Step-by-step explanation:

Let's see. f(4) makes the divisor x-4

4|-2 9 -6 7

| 8 -68 296

-2 17 -74 2072

The quotient is -2x²+17x-74 with a remainder of 2072

You might be interested in

Which face has symmetry?

Setler79 [48]

Answer:

D last one

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

(5+4-2)×(-2)=<br><img src="https://tex.z-dn.net/?f=%285%20%2B%204%20-%202%29%20%5Ctimes%20%28%20-%202%29" id="TexFormula1" title

Akimi4 [234]

$(5+4-2)\cdot(-2)=7\cdot(-2)=\boxed{-14}$

Hope this helps.

5 0

3 years ago

What is the distance between (2,9) and (1,5)

ANEK [815]

Answer: $d=\sqrt{17}$

Step-by-step explanation: Since the distance formula is $d=\sqrt{(x_{2}-x_{1 })^{2} + (y_{2} -y_{1})^{2}$ , You need to plug in the values. You'll then get $d=\sqrt{(1-2)^2+(5-9)^2}$ . (1-2) equals -1 and 5-9 equals -4. $d=\sqrt{(-1)^2+(-4)^2}x^{2}$ The next step is to solve the exponent. $d=\sqrt{1+16}$ Then you just need to simplify.

3 0

3 years ago

Write 0.0007267 in scientific notation.

Lelechka [254]

Answer:

7.267 × 10 (exponent − 4)

Step-by-step explanation:

Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the

10 . If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.

3 0

3 years ago

Read 2 more answers

Select the correct answer from each drop-down menu.

maxonik [38]

Answer:

$(b)\\\tan x, \cot x$

Step-by-step explanation:

Given

trigonometric function is

$\dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}$

Applying trigonometric formulae

$\Rightarrow \cos C-\cos D=-\sin (\dfrac{C+D}{2})\sin (\dfrac{C-D}{2})\\\\\Rightarrow \sin C+\sin D=\sin (\dfrac{C+D}{2})\cos (\dfrac{C-D}{2})$

$\Rightarrow \dfrac{\cos 2x-\cos 4x}{\sin 2x+\sin 4x}=\dfrac{2\sin 3x\cdot \sin x}{2\sin 3x\cdot \cos x}\\\\\Rightarrow \dfrac{\sin x}{\cos x}=\tan x$

option (b) is correct

$\Rightarrow \dfrac{\cos 2x+\cos 4x}{\sin 2x-\sin 4x}=\dfrac{2\cos 3x\cdot \cos x}{2\cos 3x\cdot \sin (-x)}=-\cot x$

6 0

3 years ago