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goldfiish [28.3K]
3 years ago
12

Complete the table to investigate dilations of exponential functions. Help please!

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
6 0

Answer:

Step-by-step explanation:

You simply need to substitute the numbers in the x column into the equations in the topmost row. The answers are the values of a, b, c, d, e, and f.

Look at the filled in cells.

In the x column, we have -2, and the topmost row we have 2^x. The answer is given as \frac{1}{4}. This is because 2^{-2} = \frac{1}{2^{2} } = \frac{1}{4}

Repeat this for the values that you need to find.

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Please help me,I give up on this.i just don’t get it.
Stolb23 [73]

Answer:

  1. y = -\frac{4}{5} x - \frac{14}{5}
  2. y = \frac{5}{4} x -11

Step-by-step explanation:

Given line ;

y = \frac{5}{4} x -3\\\\m = slope\\m = \frac{5}{4}

1. Perpendicular and passes through (4,-6)

m_1 = \frac{5}{4} \\\\m_2 = \frac{-1}{m_1} \\\\m_2 = \frac{-1}{\frac{5}{4} } \\\\m_2 = -\frac{4}{5} \\\\(4,-6)=(x ,y)\\

Substitute the values above into slope intercept form ; y=mx+b and solve for b.

y =mx+b\\\\-6 = -\frac{4}{5} (4) + b\\\\-6 = -\frac{16}{5} + b\\\\-6 + \frac{16}{5} = b\\\\-\frac{14}{5} = b\\\\b = -\frac{14}{5}\\\\m = - \frac{4}{5}

Substitute new values into ; y =mx+b.

y = -\frac{4}{5} (x)- (\frac{14}{5} )\\\\y = -\frac{4}{5} x - \frac{14}{5}

2.Parallel and passes through (4,-6)

m = \frac{5}{4} \\\\(4,-6)=(x_1,y_1)

Substitute values into point slope  form and simplify

y-y_1=m(x-x_1)\\\\y - (-6) = \frac{5}{4} (x -4)\\\\y+6 = \frac{5}{4} x -5\\\\y = \frac{5}{4} x -5-6\\\\y = \frac{5}{4} x -11

8 0
3 years ago
Can someone please help as soon as possible!!
sergiy2304 [10]

Answer:

  1) triangles are similar

Step-by-step explanation:

The height from vertex X of isosceles ∆WXY is 4 units. The width WY is also 4 units. In isosceles ∆UVW, the height from vertex V is 6 units, and the width UW is also 6 units.

The height ratios are ...

  ∆WXY/∆UVW = 4/6

The width ratios are ...

  ∆WXY/∆UVW = 4/6

The measures of ∆WXY are proportional to those of ∆UVW, so the triangles are similar.

_____

Strictly speaking, you cannot go by triangle height and width alone. That is why we made not of the fact that the triangles are <em>isosceles</em>. When base and height of an isosceles triangle are proportional, the Pythagorean theorem guarantees that side lengths are proportional. Trigonometry can also be invoked to support the claim that angles are congruent.

4 0
3 years ago
Nancy is running on a trail that's 5.3 miles long. After 20 minutes, she has run 1.45 miles. Write an addition to fine how much
mars1129 [50]

Answer:

5.3-1.45=3.85

Step-by-step explanation:

she has 3.85 miles left to go because she already ran 1.45 and if you subtract that from the 5.3 you get 3.85 left to run.

5 0
4 years ago
1.25 × 109 + 3.50 × 109 + 3.25 × 109 =
Nadusha1986 [10]

Answer:

872 is the final answer

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A Teenager can wash two tables per minute write an expression for how many tables they can wash in M minutes
Vikki [24]
The answer to this problem is 2m
3 0
3 years ago
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