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Anon25 [30]
3 years ago
12

For what values of a and m does f(x) have a horizontal asymptote at y = 2 and a vertical asymptote at x = 1? f(x)=2x^m/x+a {a =

–1, m = 1}
Mathematics
1 answer:
iVinArrow [24]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

f(x)=\frac{2x^{m} }{x+a}

f(x)=\frac{2x^{1} }{x-1}

If x=1, then 1-1=0, which implies a vertical asymptote at x=1 since dividing by 0 is undefined.

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(2.3 x 10 to the power of 4) times ( 1.5x10 to the power of minus 3) in standard form
Eduardwww [97]

Answer:

3.45\times10

Step-by-step explanation:

(2.3  \times 10^{4}) \times ( 1.5 \times10^{-3} )= 2.3\times1.5\times10^{4}\times10^{-3}

                                        = 3.45\times  10^{((4)+(-3))}

                                        =3.45\times10

6 0
3 years ago
Can someone help me with this problem
Naily [24]
<h3>Answer: Choice A</h3><h3>The point Z ' is at (8,4)</h3><h3>The point Y ' is at (0,4)</h3>

=================================================

Explanation:

The key thing here is that point Z does not move. Why not? Because this is where the center of dilation occurs. The center point is fixed. Everything around the center will expand away from, or contract toward, the center.

In this case, the scale factor is 4/5 = 0.8 which is less than 1. So points will contract toward the center. The old pre-image shrinks to make the image smaller.

Note how point Y = (-2,4) is 10 units away from point Z. You can count out the spaces or subtract the x coordinates. Use an absolute value to make sure the result is positive

|x1-x2| =  |-2-8| = |-10| = 10

|x2-x1| = |8-(-2)| = |8+2| = |10| = 10

So 0.8 times this distance is therefore 0.8*10 = 8 meaning that point Y' is going to be 8 units away from point Z' or Z.

Subtract 8 from the x coordinate of point Z to get x-8 = 8-8 = 0.

The y coordinate stays the same at y = 4 the whole time.

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

In short, point Y starts at (-2,4) and moves to (0,4)

Distance from Y to Z is 10 units

Distance from Y' to Z' is 8 units

8/10 = 4/5 = 0.8 is the scale factor

Point Z does not move. So Z and Z' are at the same location.

5 0
3 years ago
Read 2 more answers
Use the number 913,256 Write the name of the period that has the digits 913.
Alborosie

Thousand - units, tens, hundreds, etc

913,000

7 0
3 years ago
Let f(x) = x2 + x + 2 and g(x) = 2x2 + 5. Find f(g(x)). Show each step of your work.
Tju [1.3M]
G(x)=9
f(g(x))= 9(2)+9+2=29
5 0
3 years ago
How do you solve -2(x + 3y) = 18
sergiy2304 [10]

solving equation in terms of x we get x=-9-3y

solving equation in terms of y we get y=-3-1/3x

Step-by-step explanation:

We need to solve the equation: -2(x + 3y) = 18

Solving the equation:

-2(x + 3y) = 18\\-2x-6y=18

Simplifying and finding value of x:

-2x-6y=18\\-2x=18+6y\\-2x/-2=18/-2+6y/-2\\x=-9-3y

We can simplify and find value of y as well:

-2x-6y=18\\-6y=18+2x\\-6y/-6=18/-6+2x/-6\\y=-3-1/3x

So, solving equation in terms of x we get x=-9-3y

solving equation in terms of y we get y=-3-1/3x

Keywords: Solving Equations

Learn more about Solving Equations at:

  • brainly.com/question/1563227
  • brainly.com/question/2403985
  • brainly.com/question/11229113

#learnwithBrainly

5 0
3 years ago
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