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3 years ago

Express the product of 2x^2+6x-8 and x+3 in standard form

1 answer:

7 0

The answer is 2x³ + 12x² + 10x - 24

(2x² + 6x - 8)(x + 3) = x(2x² + 6x - 8) + 3(2x² + 6x - 8) =
= 2x³ + 6x² - 8x + 6x² + 18x - 24 =
= 2x³ + (6x² + 6x²) + (-8x + 18x) - 24 =
= 2x³ + 12x² + 10x - 24

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ANTONII [103]

Answer:

The easiest way to do this is to reflect Figure I over the Y axis. Then move it up 3 and left 2.

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4 years ago

Read 2 more answers

Find the volume of each ball. use the formula. where v is the volume and r is the radius. record the volume in table A of your s

pochemuha

Answer:

The volume of tennis ball = 38.808 $cm^{3}$ .

Volume of golf ball = 33.523 $cm^{3}$ .

Step-by-step explanation:

Given: The radius of the tennis ball is 2.1cm and the radius of thr golf ball is 2.0cm. the formula is V=4πr(to the 3rd power) /3 .

To find: Volume of tennis ball and golf ball .

Formula used: Volume = $\frac{4 π r^{3} }{3}$ .

pi(π) = $\frac{22}{7}$ .

Explanation : We are given that

Radius of the tennis ball = 2.1 cm

radius of the golf ball =2.0 cm.

We need to find the volume of each ball

So , plugging the given values of radius in above formula

Volume of the tennis = $\frac{4*22(2.1)^{3} }{3*7}$

On simplification we get, volume of tennis ball = 38.808 $cm^{3}$

Volume of the golf ball= $\frac{4*22(2.0)^{3} }{3*7}$

On simplification we get, volume of golf ball = 33.523 $cm^{3}$

Therefore , The volume of tennis ball = 38.808 $cm^{3}$ .

Volume of golf ball = 33.523 $cm^{3}$ .

7 0

3 years ago

Read 2 more answers

a scale drawing of new york state 2.5 centimeters represents 10 kilometers how many kilometers are represented by 10 centimeters

chubhunter [2.5K]

Answer:

40 Km

Step-by-step explanation:

Cross-multiply (rule of three)

2.5 cm--------10 Km

10 cm-----------x Km

2.5/10 = 10/x

x = 100/2.5 = 40 Km

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3 years ago

Suppose C and D represent two different school populations where C > D and C and D must be greater than 0. Whitch of the foll

In-s [12.5K]

Answer:

<em>A. (C+D)^2 is the largest expression</em>

Step-by-step explanation:

<u>Squaring Properties </u>

The square of a number N is shown as N^2 and is the product of N by itself, i.e.

$N^2=N*N$

If N is positive and less than one, its square is less than N, i.e.

$N^2$

If N is greater than one, its square is greater than N

$N^2>N, \ for\ N>1$

We have the following information: C and D represent two different school populations, C > D, and C and D must be positive. We can safely assume C and D are also greater or equal than 1. Let's evaluate the following expressions to find out which is the largest

A. (C+D)^2

Expanding

$(C+D)^2=C^2+2CD+D^2$

Is the sum of three positive quantities. This is the largest of all as we'll prove later

B. 2(C+D)

The extreme case is when C=2 and D=1 (recall C>D). It results:

2(C+D)=2(3)=6

The first expression will be

(3)^2=9

Any other combination of C and D will result smaller than the first option

C. $C^2 + D^2$

By comparing this with the first option, we see there are two equal terms, but A. has one additional term 2CD that makes it greater than C.

D. $C^2 - D^2$

The expression can be written as

(C+D)(C-D)

Comparing with A.

$(C+D)^2=(C+D)(C+D)$

The subtracting factor (C-D) makes this product smaller than A which has two adding factors.

Thus A. is the largest expression

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3 years ago

create a division problem with a 2-digit divisor. Using more than 1 set of compatible numbers, observe what happens when you est

Lorico [155]

It I s 5hh7slrdutf58f5ulf6ifi6f

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3 years ago