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3 years ago

If f(x) = -3x^{2} + 1 then what is the value of f(-2)

Mathematics

1 answer:

Charra [1.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

-3x^{2} + 1

replace (x) with (-2)

-3(-2)^{2} + 1

6^2 +1=36+1

=37

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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

The Witches coven are making a potion and Ethel, Glinda, Locasta and Circe each add a different ingredient. When the potion is f

nordsb [41]

3/4 of the bat blood was used = 18/24 most Ethel
2/3 of the knotgrass was used= 16/24 more Locasta
1/2 of the moonstone was used=12/24 less Circe
3/8 of the unicorn hair was used=9/24 least Glinda

Circe used the moonstone

4 0

3 years ago

What is cos (x)? 48/58 58/48 26/58 58/26

Evgen [1.6K]

We have to calculate the length of the missing side.
Use the Pythagorean theorem:

$a^2+32^2=58^2\\\\a^2+1024=3364\ \ \ |-1024\\\\a^2=2340\to a=\sqrt{2340}\\\\a=\sqrt{36\cdot65}\\\\a=6\sqrt{65}$

$\cos x=\dfrac{6\sqrt{65}}{58}=\dfrac{3\sqrt{65}}{29}$

I think. Your answers to choice are wrong.

8 0

3 years ago

A circle has a diameter of 40 in. Find the circumference of the circle to the nearest tenth. Use 3.14 for pi .

Lesechka [4]

Answer:

126 inches

Step-by-step explanation:

C = 2π·r = π·d = 3.14×40in = 125.6 inches ≈ 126 inches

6 0

3 years ago

a) Saturn is 9.1 * 10^8 miles from the sun and earth is 9.3 * 10^7 miles from the sun. By what distance is one planet closer to

Sonbull [250]

Answer:

8.17 * 10^8

Step-by-step explanation:

Saturn is 9.1 * 10^8 miles from the sun, and earth is 9.3 * 10^7 miles from the sun. From this, we can see that Saturn is much farther from the sun than the earth.

To find the distance of one planet closer to the sun than the other planet, we can subtract 9.3 * 10^7 from 9.1 * 10^8.

Original expression: 9.1 * 10^8 - 9.3 * 10^7

Convert both sides to 10^7: 91 * 10^7 - 9.3 * 10^7

Subtract: 81.7 * 10^7

Simplify: 8.17 * 10^8

Let me know if this helps!

6 0

2 years ago