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3 years ago

6

HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.

1 answer:

Varvara68 [4.7K]3 years ago

6 0

The first term, f(1) = 4, to find the second term,

which is f(2-1) = f(1) = 4, so second term, f(2) = 4+5

hence 9, to find the terd term,

which is f(3-1) = f(2) = 9, so terd term, f(3) = 9+5

hence 14, so common difference is 5.

12 term is 59.

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Find the exact values of cos 3 pi/4 radians sin 3 pi/4 radians.

Liula [17]

If you consult the unit circle, you will see that:

$cos(\frac{3\pi}{4}) = -\frac{\sqrt{2}}{2}\\\\sin(\frac{3\pi}{4}) = \frac{\sqrt{2}}{2}$

3pi/4 in degrees is 3pi/4 * 180/pi = 3/4 * 180 = 135 degrees. And please refer to the attachment to how you can obtain the values above.

Now, lets multiply it together.

$-\frac{\sqrt{2}}{2} \cdot \frac{\sqrt{2}}{2} =\\\\-\frac{2}{4} =\\\\ \boxed{\bf{-\frac{1}{2}}}$

So, <span>cos(3pi/4)sin(3pi/4) = -1/2</span>

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3 years ago

Melanie has $64 in her checking account. She writes a check for $75. What is Melanie's checking account balance after writing th

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Answer:

if adding its 139 if u subtract then its 11

Step-by-step explanation:

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3 years ago

Tameron is driving 540 miles to college. If he drives at an average rate of 45 miles per hour, how many hours will it take him t

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It will take him 9 hours

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3 years ago

I can’t figure out how to use the zeros in the polynomial. Please explain

Temka [501]

Answer:

a) $P (x) = (x + 3) (x-1) (x-4)$

b) $P (x) = (2x + 5) (5x - 4) (x-6)$

c) $P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

Step-by-step explanation:

<u>For the question a *</u> you need to find a polynomial of degree 3 with zeros in -3, 1 and 4.

This means that the polynomial P(x) must be zero when x = -3, x = 1 and x = 4.

Then write the polynomial in factored form.

$P (x) = (x + 3) (x-1) (x-4)$

Note that this polynomial has degree 3 and is zero at x = -3, x = 1 and x = 4.

<u>For question b, do the same procedure</u>.

Degree: 3

Zeros: -5/2, 4/5, 6.

The factors are

$x = -\frac{5}{2}\\\\x +\frac{5}{2} = 0\\\\(2x +5) = 0$

---------------------------------------

$x =\frac{4}{5}\\\\x-\frac{4}{5} = 0\\\\(5x-4) = 0$

--------------------------------------

$x = 6\\\\(x-6) = 0$

--------------------------------------

$P (x) = (2x + 5) (5x - 4) (x-6)$

<u>Finally for the question c we have</u>

Degree: 5

Zeros: -3, 1, 4, -1

Multiplicity 2 in -1

$x = -3\\\\(x-3) = 0$

--------------------------------------

$x = 1\\\\(x-1) = 0$

--------------------------------------

$x = 4\\\\(x-4) = 0$

----------------------------------------

$x = -1\\\\(x + 1) = 0$

-----------------------------------------

$P (x) = (x-3) (x-1) (x-4) (x + 1) ^ 2$

8 0

2 years ago

Find the geometric mean of 8 and 253.

sveta [45]

The geometric mean of 8 and 253 is;

<h3>Geometric mean of numbers</h3>

According to the question;

The task requires that the geometric mean of 8 and 253 be determined.

The geometric mean of a two numbers is the square root the product of the he numbers.

Hence, in this scenario;

The geometric mean of 8 and 253 is;

G.M = √8×253

G.M = √2024

G.M = 45.

Ultimately, the geometric mean of 8 and 253 is approximately 45.

Read more on geometric mean;

brainly.com/question/23483761

5 0

2 years ago