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3 years ago

2^-3/2^-5 A)2^2 B)1/2^2 C)2^8 D)1/2^8

Mathematics

1 answer:

zhenek [66]3 years ago

6 0

Answer:

I think it is c

Step-by-step explanation:

you just divide

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Carter divided the polynomial 6x2 + 4x + 3 by the monomial 2x using long division, and got an answer of 3x + 2 + . His work is s

Gnesinka [82]

Answer:

C. Both Carter and Demi are correct and would get the same answer.

Step-by-step explanation:

Here, the given polynomial is : $P(x) =6x^2 + 4x + 3$

The given monomial : $Q(x) = 2 x$

Now, according to the given question:

Dividend = P(x), Divisor = Q(x)

Now, Carter divide P(x) by Q (x) with LONG DIVISION METHOD.

If we divide P(x) by Q(x) by Long division, we get:

$\frac{P(x)}{Q(x)} = \frac{(6x^2 + 4x + 3)}{(2x)} = 3x + 2 + \frac{3}{2} x = R(x)$

Also, if Demi divides each term of P(x) by The given monomial (2x) , we get:

$\frac{P(x)}{Q(x)} = \frac{(6x^2 + 4x + 3)}{(2x)} = \frac{6x^2}{2x} + \frac{4x}{2x} +\frac{3}{2x} \\= 3x + 2 + \frac{3}{2} = R(x)$

⇒In both the case, R(X)Quotient is SAME.

Hence, Both Carter and Demi are correct and would get the same answer.

7 0

4 years ago

Read 2 more answers

The mean age of 5 people in a room is 40 years. A person enters the room. The mean age is now 40. What is the age of the person

ad-work [718]

Answer:

Step-by-step explanation:

5 people in the room have 5*40 = 200 years altogether

a new person is X years old.

Now 6 people have (200 + x) years altogether.

Mean age of 6 people is (200+x)/6. and it is also = 40.

So,

(200+x)/6 = 40

200 + x = 240

x = 40

6 0

3 years ago

Please help please need help ASAP

Anuta_ua [19.1K]

The altitude of a triangle is a line segment through a vertex and perpendicular to a line containing the side opposite the vertex.

Answer: $\overline{A F}$

6 0

3 years ago

Dose anyone know this problem if u so plz help!

Dennis_Churaev [7]

$A=\dfrac{1}{2}(a+b)h+\dfrac{1}{2}\pi r%2\\
a=8\\
b=4\\
h=4\\
r=2\\
A=\dfrac{1}{2}(8+4)\cdot4+\dfrac{1}{2}\pi \cdot 2^2\\
A=24+2\pi=2(12+\pi)$

7 0

4 years ago

Where will her cut be located? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A

Arte-miy333 [17]

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2 $x$ and PC = 3 $x$

Now, BP + PC = BC = 58 = 2 $x$ + 3 $x$ = 5 $x$

So,

$5x =58\\\Rightarrow x =11.6$

BP = $2\times x = 2 \times 11.6 = 23.2\ inches$

Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>

Alternatively, we can use the formula directly:

$x = \dfrac{m} {m + n } (x_2 - x_1) + x_1$

$x_1 = 2\\x_2 = 60$

m: n is the ratio 2:3

$x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}$

5 0

4 years ago

Read 2 more answers