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3 years ago

Multiply.

Mathematics

1 answer:

DanielleElmas [232]3 years ago

7 0

Answer & Step-by-step explanation:

(x² - 5x)(2x² + x - 3)

Multiply each term from the first expression into the second expression.

2x⁴ + x³ - 3x² - 10x³ - 5x² + 15x

Combine like terms.

2x⁴ - 9x³ - 8x² + 15x

So, after you multiply the expressions, your answer will be 2x⁴-9x³-8x²+15x.

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lina2011 [118]

-9 ≤ x ≤ 4

it is less than or equal to -9°F, but also less than 4°F

Hope this helps

5 0

2 years ago

Please help with 15, 17 and 19

Irina-Kira [14]

Given:

15. $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

17. $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

19. $2^{\log_2100}$

To find:

The values of the given logarithms by using the properties of logarithms.

Solution:

15. We have,

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$

Using property of logarithms, we get

$\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)=1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{1}{2}}\left(\dfrac{1}{2}\right)$ is 1.

17. We have,

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$

Using properties of logarithms, we get

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-\log_{\frac{3}{4}}\left(\dfrac{3}{4}\right)$ $[\because \log_a\dfrac{m}{n}=-\log_a\dfrac{n}{m}]$

$\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)=-1$ $[\because \log_aa=1]$

Therefore, the value of $\log_{\frac{3}{4}}\left(\dfrac{4}{3}\right)$ is -1.

19. We have,

$2^{\log_2100}$

Using property of logarithms, we get

$2^{\log_2100}=100$ $[\because a^{\log_ax}=x]$

Therefore, the value of $2^{\log_2100}$ is 100.

6 0

3 years ago

An apple falls from a tree that is 21 feet tall. What is the height

Alexeev081 [22]

Answer:

Use the vertical motion model, h = -16t^2 + 21 , t=1 second

h = -16(1) ^2 + 21

h = 5 feet

Step-by-step explanation:

Just plug in the time with t to get your answer in height

4 0

2 years ago

In the formula, l = a + (n - 1)d make d as the subject. Find d when l = 10, a = 2, n = 5.

coldgirl [10]

<h3>Given:-</h3>

I = a + (n - 1)d [Given formula]

Find d when I = 10, a = 2, n = 5

<h2>Solution:-</h2>

I = a + (n - 1)d [Given]

Putting the value of I = 10, a = 2, n = 5 we get,

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = $\frac{8}{4}$

d = 2

<h3>Value of d is 2. [Answer]</h3>

6 0

2 years ago

What is the area, in square inches, of a circle with a diameter equal to 16 inches?

Lostsunrise [7]

Answer: 201.06 in²

Step-by-step explanation:

Use the equation πr² to find out the area of a circle.

Since the diameter is 16 the radius is half of that, 8.

π(8)²

Work out that equation and you're done!

7 0

2 years ago