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tamaranim1 [39]
3 years ago
8

Is the function a^x increasing or decreasing?

Mathematics
1 answer:
Ray Of Light [21]3 years ago
8 0

Answer:

The function a^x is increasing, while a^-x is decreasing.

Step-by-step explanation:

The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.

I hope I helped:)

I would appreciate Brainliest ;)

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Find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = cos(θ) + sin(4θ
dybincka [34]

The line tangent to the curve at (x(0),y(0)) has slope

\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{\theta=0}=\dfrac{\mathrm dy}{\mathrm d\theta}\dfrac{\mathrm d\theta}{\mathrm dx}\bigg|_{\theta=0}=\dfrac{\cos\theta-4\sin4\theta}{-\sin\theta+4\cos4\theta}\bigg|_{\theta=0}=\dfrac14

Then the tangent line has equation

y-y(0)=\dfrac14(x-x(0))

y-1=\dfrac14(x-1)

\boxed{y=\dfrac{x+3}4}

3 0
3 years ago
Show two different ways to factor -4x - 28​
horsena [70]

Step-by-step explanation:

-4x - 28

x = -28 + 4

x = -24

I HOPE THIS IS CORRECT IN ONLY THIS WAY SORRY IF IT IS WRONG

CAN YPU MARK ME AS BRAINLIEST

5 0
3 years ago
Suppose 10 and 6 are common factors of two numbers. What other
kvasek [131]

Answer: 2

Step-by-step explanation:

We can list out their factors

10:1,2,5,10

6:1,2,3,6

Both have the same factors of 2.

5 0
3 years ago
Read 2 more answers
Abby used the law of cosines for TriangleKMN to solve for k.
torisob [31]

Answer:

  m∠K = 37° and n = 31

Step-by-step explanation:

A lot of math is about matching patterns. Here, the two patterns we want to match are different versions of the same Law of Cosines relation:

  • a² = b² +c² -2bc·cos(A)
  • k² = 31² +53² -2·31·53·cos(37°)

<h3>Comparison</h3>

Comparing the two equations, we note these correspondences:

  • a = k
  • b = 31
  • c = 53
  • A = 37°

Comparing these values to the given information, we see that ...

  • KN = c = 53 . . . . . . . . . . matching values 53
  • NM = a = k . . . . . . . . . . . matching values k
  • KM = b = n = 31 . . . . . . . matching values 31
  • ∠K = ∠A = 37° . . . . . . . matching side/angle names

Abby apparently knew that ∠K = 37° and n = 31.

__

<em>Additional comment</em>

Side and angle naming for the Law of Sines and the Law of Cosines are as follows. The vertices of the triangle are labeled with single upper-case letters. The side opposite is labeled with the same lower-case letter, or with the two vertices at either end.

Vertex and angle K are opposite side k, also called side NM in this triangle.

5 0
2 years ago
Write the equation of the line, in standard form, that has an x-intercept of 2 and is parallel to 2x y = -5.
Alik [6]
Y=2x-5 because parallel means keep the slope the same and the formula is y=mx+b b is y and y is -5 so your answer is y=2x-5
6 0
3 years ago
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