All categories

3 years ago

Multiply (2x^3 + 1)(5x^2 +4) and write your result in simplest form.

Mathematics

1 answer:

tatyana61 [14]3 years ago

8 0

(2x^3)*(5x^2)+(2x^3)*(4)+(1)*(5x^2)+(1)*(4)
10x^5+8x^3+5x^2+4

You might be interested in

How can i converted 4 7/10 to an improper fraction

BartSMP [9]

The whole number multiply by the denominator and add to the numerator.

$4\dfrac{7}{10}=\dfrac{4\cdot10+7}{10}=\dfrac{40+7}{10}=\dfrac{47}{10}$

6 0

3 years ago

A = √7 + √c and b = √63 + √d where c and d are positive integers.

mrs_skeptik [129]

Answer:

$\displaystyle a:b=\frac{1}{3}$

Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

$a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]$

$b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]$

$\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]$

From [3]:

$9c=d$

Replacing into [2]:

$b=\sqrt{63}+\sqrt{9c}$

We can express 63=9*7:

$b=\sqrt{9*7}+\sqrt{9c}$

Taking the square root of 9:

$b=3\sqrt{7}+3\sqrt{c}$

Factoring:

$b=3(\sqrt{7}+\sqrt{c})$

Find the ration a:b:

$\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}$

Simplifying:

$\boxed{a:b=\frac{1}{3}}$

3 0

3 years ago

Bob brings home 156.40 his gross is 184.00 what percentage do he bring home

Tanzania [10]

Answer:

85%

Step-by-step explanation:

To find the percentage we will have to start by dividing the amount he brings home by the gross.

156.4 / 184 = 0.85

By doing this, we get the answer in decimal form, which is not what we want.

Multiply it by 100 to convert it into a percent.

0.85 x 100 = 85.

Now, we know that he brings home 85% of his gross.

5 0

3 years ago

4 (-3x - 1) = 13x + 6

GarryVolchara [31]

Answer:

x=-2/5

Step-by-step explanation:

4(-3x-1)=13x+6 ~ Distribute the 4 into the parenthesis

-12x-4 = 13x+6 ~ add 12x to both sides

-4= 25x + 6 ~ subtract 6 from both sides

-10 =25x ~ divide by 25

-10/25 = x ~ simplify the fraction by dividing the num. and den by 5

-2/5 =x

4 0

3 years ago

Read 2 more answers

A 20ft ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. To the nearest tenth of a foot, abou

Tasya [4]

Answer: 19.8 ft

Step-by-step explanation:

Use the Pythagorean Theorem formula to solve for how high the top of the ladder reach.

The formula says a^2 + b^2 = c^2

Where a and b are the two legs and C is the hypotenuse.

In this situation, the hypotenuse will be length of the ladder , and either a or b will be the length of the ladder from the building or the length of how long the ladder.

a will be 3 , and c will be 20. Input in the values into the formula and solve for b.

3^2 + b^2 = 20^2

9 + b^2 = 400

-9 -9

b^2 = 391

b = $\sqrt{391}$

b = 19.77371 round to the nearest tenth is , 19.8

8 0

2 years ago