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Deffense [45]
2 years ago
6

The black square is a dilation of the blue square. What is the scale factor of the dilation?

Mathematics
2 answers:
poizon [28]2 years ago
6 0
The scale factor is 4
dangina [55]2 years ago
6 0
The scale factor is D) 4
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Step-by-step explanation:

8 3/15 - 4 3/15 the 3/15 cancel each other out so then there is only 8-4 which is 4

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The graph of a quadratic function has a vertex at (5,3) and goes through the point (-1,-9). What is the equation of the function
kotegsom [21]

Answer:

y=-\frac{1}{3} (x-5)^2+3

Step-by-step explanation:

We are given the following;

  • Vertex of a quadratic function = (5,3)
  • A point where the function passes through (-1, -9)

Required to determine the equation of the function;

  • We need to know the vertex form of a quadratic function is;

y=a(x-h)^2+k, where h and k correspond to the vertex (h,k)

  • Therefore, we can replace the variables h and k of the vertex in the equation;

That is;

y=a(x-5)^2+3

Then we use the equation and the point given to solve for a

x = -1 and y = -9

We get;

-9=a(-1-5)^2+3\\-9 = a(36) + 3\\-9 - 3 = 36a\\-12 =36a \\a=-\frac{1}{3}

Substituting the values of a, h and k in the equation, we get;

y=-\frac{1}{3} (x-5)^2+3

Thus, the equation of the function in the vertex form is y=-\frac{1}{3} (x-5)^2+3

8 0
3 years ago
Explain the meaning of a poll that says 44% of Americans approve of the president's policies, with a margin of error of 2% and c
Ivenika [448]

Answer:

We are 90% sure that the true proportion of Americans who approve the ppresident's policies is in the interval from 42% to 46%.

Step-by-step explanation:

A confidence interval of a proportion p% at the x% level with m% margin of error means that:

We are x% sure that the true mean of the population is in the interval from (p-x)% to (p+x)%.

In this problem, we have that

90% confidence level

44% with a margin of error of 2%

So:

We are 90% sure that the true proportion of Americans who approve the ppresident's policies is in the interval from 42% to 46%.

3 0
3 years ago
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