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mihalych1998 [28]
4 years ago
14

The sum of three consecutive integers is 84. What is the value of the largest integer?

Mathematics
1 answer:
andrezito [222]4 years ago
7 0
The three consecutive integers would be 27, 28, and 29 meaning that 29 would be the largest integer.
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k is a an integer for which 1/2^1-k, 1/8. What is the value of k? 1/2^1-k must be equal to 1/8 if i read the question right.
svetlana [45]

Answer:

k = -2

Step-by-step explanation:

If \frac12^{1-k}=\frac18

Then

\frac1{2^{1-k}}=\frac18=\frac1{2^3}

So

1-k = 3

From this follows k = -2

3 0
3 years ago
Describe how to determine which side of the boundary line should be shaded
iogann1982 [59]
Hello Bri,

If you are talking about a boundary line on a coordinate plane, the best way to determine which side to shade is to start by selecting a coordinate point (x, y) that is not on the line.

Then, substitute those values into your inequality. Simplify the inequality. If the resulting statement is true, then shade the side with your point. If the resulting statement is false, then shade the other side.

Testing a point like this shows the side of the inequality that is the solution and needs to be shaded.

Good luck!
8 0
3 years ago
Solve the following integral.<br><br> <img src="https://tex.z-dn.net/?f=%5Cint4x%5Ccos%282-3x%29dx" id="TexFormula1" title="\int
bagirrra123 [75]

Hi there!

\boxed{-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C}

To find the indefinite integral, we must integrate by parts.

Let "u" be the expression most easily differentiated, and "dv" the remaining expression. Take the derivative of "u" and the integral of "dv":

u = 4x

du = 4

dv = cos(2 - 3x)

v = 1/3sin(2 - 3x)

Write into the format:

∫udv = uv - ∫vdu

Thus, utilize the solved for expressions above:

4x · (-1/3sin(2 - 3x)) -∫ 4(1/3sin(2 - 3x))dx

Simplify:

-4x/3 sin(2 - 3x) - ∫ 4/3sin(2 - 3x)dx

Integrate the integral:

∫4/3(sin(2 - 3x)dx

u = 2 - 3x

du = -3dx ⇒ -1/3du = dx

-1/3∫ 4/3(sin(2 - 3x)dx ⇒ -4/9cos(2 - 3x) + C

Combine:

-\frac{4x}{3}sin(2-3x) + \frac{4}{9}cos(2-3x) + C

7 0
2 years ago
Read 2 more answers
Please help me. i will mark you as most brilliance and give you 5 stars! Please be specific when answering. thank you! :)
serg [7]

Step-by-step explanation:

5x+52=9x+20

subtract 5x on both sides

subtract 20 on both sides

32=4x

divide by 4 on both sides

x=8

plug in x to the equations for A, D, and C

A and D are 92°

C is 56°

B and C will add up to 90, so

90-56=34°

13y-6=34

add 6 on both sides

13y=40

divide by 13

y=40/13 (I don't wanna calculate that)

7 0
3 years ago
The graph of the equation y = 3x − 4 is shown. What statement is true about every point on the graph?
SpyIntel [72]

Answer:

Slope is 3

Y- intercept is -4

Doesn't pass through zero.

Linear

Give me options and I can give a better answer :)

3 0
3 years ago
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