All categories

3 years ago

Factor by grouping: 2u^3 + 3u^2 - 10u - 15

Mathematics

1 answer:

Strike441 [17]3 years ago

7 0

When you factor by grouping it will be (2u^2-5)(2u+3)

You might be interested in

3 Ramón makes nectar for a hummingbird feeder by mixing 8 cups of water with 2 cups of sugar. Tiffany makes nectar by mixing 9 c

Butoxors [25]

Answer:

Tiffany's nectar is more sugary

Step-by-step explanation:

Given

Ramon:

$Water = 8\ cups$

$Sugar = 2\ cups$

Tiffany

$Water = 9\ cups$

$Sugar = 3\ cups$

Required

The nectar with more sugar

To do this, we simply calculate the fraction of sugar in both nectar.

This is calculated as:

$Fraction = \frac{Sugar}{Sugar + Water}$

For Ramon:

$Fraction = \frac{2}{8 + 2}$

$Fraction = \frac{2}{10} = 0.20$

For Tiffany

$Fraction = \frac{3}{3 + 9}$

$Fraction = \frac{3}{12} = 0.25$

From the calculations above:

$0.25 > 0.20$

Hence: Tiffany's nectar is more sugary

5 0

3 years ago

Identify the values of the variables. Give your answers in simplest radical form. HELP PLEASE!!!

galben [10]

Answer:

$x = 3\sqrt{2}$

$y = 6\sqrt{2}$

Step-by-step explanation:

The triangle is a 30-60-90 right triangle.

The ratio of the lengths of the sides is:

$1 : \sqrt{3} : 2$

The order of the sides in the ratio above is

short leg : long leg : hypotenuse

The long leg is sqrt(3) times the length of the short leg.

$x \times \sqrt{3} = 3\sqrt{6}$

$x = \dfrac{3\sqrt{6}}{\sqrt{3}}$

$x = 3 \times \sqrt{\dfrac{6}{3}}$

$x = 3\sqrt{2}$

The hypotenuse is twice the length of the short leg.

$y = 2 \times 3\sqrt{2}$

$y = 6\sqrt{2}$

6 0

3 years ago

Read 2 more answers

You have decided to invest $1000 in a savings bond that pays 4% interest, compounded semi-annually. What will the bond be worth

Evgen [1.6K]

Answer:

$2191.12

Step-by-step explanation:

We are asked to find the value of a bond after 10 years, if you invest $1000 in a savings bond that pays 4% interest, compounded semi-annually.

$FV=C_0\times (1+r)^n$ , where,

$C_0=\text{Initial amount}$ ,

r = Rate of return in decimal form.

n = Number of periods.

Since interest is compounded semi-annually, so 'n' will be 2 times 10 that is 20.

$4\%=\frac{4}{100}=0.04$

$FV=\$1,000\times (1+0.04)^{20}$

$FV=\$1,000\times (1.04)^{20}$

$FV=\$1,000\times 2.1911231430334194$

$FV=\$2191.1231430334194$

$FV\approx \$2191.12$

Therefore, the bond would be $2191.12 worth in 10 years.

3 0

3 years ago

Simplify the expression using order of operation 5 x 2 + 3 to the power of 2

TiliK225 [7]

answer= 1

5 x 2 - 3^2

1. First simplify exponents

= that is nine

2. Then Do 5 x 2- 9

5 x 2=10

10-9

= 1

6 0

3 years ago

16,42 greatest common factor

kozerog [31]

2

42 ÷ 2 = 21
16 ÷ 2 = 8

Let's try the other factors of 42...

42 ÷ 6 = 7
16 ÷ 6 = 2.66
No...

42 ÷ 7 = 6
16 ÷ 7 = 2 2/7
No...

42 ÷ 14 = 3
16 ÷ 14 = 1.1428
No...

7 0

4 years ago