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levacccp [35]
3 years ago
7

Multiply.

Mathematics
1 answer:
DanielleElmas [232]3 years ago
7 0

Answer & Step-by-step explanation:

<em>(x² - 5x)(2x² + x - 3)</em>

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

<em>2x⁴ + x³ - 3x² - 10x³ - 5x² + 15x</em>

Combine like terms.

<em>2x⁴ - 9x³ - 8x² + 15x</em>

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><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u>:-</h3>

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

<h3><u>T</u><u>o</u><u> </u><u>F</u><u>i</u><u>n</u><u>d</u>:-</h3>

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

<h2><u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u>:-</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 <u>2</u>. [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
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