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solmaris [256]
3 years ago
14

PLZ HELP WILL MARK BRAINLIEST

Mathematics
1 answer:
Fantom [35]3 years ago
6 0

Answer:

  g(x) = (1/6)(x +7)^2 -8

Step-by-step explanation:

The transformation ...

  g(x) = a·f(x -h) +k

represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...

  g(x) = (1/6)(x +7)^2 -8

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If 1/2 of all the books at a bookstore are fiction and 3/5 of the books in fiction
lubasha [3.4K]

Answer:

\frac{3}{10}

Step-by-step explanation:

we know that

To find the fraction of the store's books that are fiction mysteries, multiply 1/2 by 3/5

so

(\frac{1}{2})(\frac{3}{5})=\frac{3}{10}

6 0
3 years ago
Solve for x in the picture below. Thanks! Will give brainliest.
Nonamiya [84]

Answer:

these triangles some is 90°.

72°+2x=90°

2x=90°-72

2x=18

x=18/2

x=9

3 0
2 years ago
How do i the find the slope?
inna [77]

Step-by-step explanation:

x ^{1}  =  - 5 \\ y ^{1}  =  - 2 \\ x {}^{2}  =  - 2 \\ y {}^{2}  = 1 \\ then \: you \: solve \: with \: that \: formula \: you \: know

3 0
2 years ago
What is the solution of the inequality shown<br> below?<br> c+3&gt;8
Tatiana [17]

Answer:

  c > 5

Step-by-step explanation:

The properties of equality can be used to solve inequalities. Attention needs to be paid to ordering.

<h3>Application</h3>

We can subtract 3 from both sides to solve this.

  c +3 > 8 . . . . . . given

  c +3 -3 > 8 -3 . . . . subtract 3 from both sides

  c > 5 . . . . . . . . . simplify

The solution is c > 5.

__

<em>Additional comment</em>

Adding or subtracting a value to a number on a number line is equivalent to shifting it right or left. It does not change ordering.

Multiplying or dividing by a <em>positive</em> number is equivalent to expanding or compressing the distance from zero. It does not change ordering.

Multiplying or dividing by a <em>negative</em> number reflects the value across the origin, in addition to expanding or compressing the distance from zero. This reflection reverses the left-right ordering. For example, -2 < -1, but 2 > 1. (Both numbers multiplied by -1.)

As long as you're aware of the effect on ordering, you can use any of the properties of equality to solve inequalities.

4 0
1 year ago
One end of a cable is attached to the top of a 60-foot pole. The other end is attached to the ground at a distance of 25 feet fr
lbvjy [14]
This is a simple A^2 + B^2 = C^2 Pythagorean Theorem problem.

So here we go:

Imagine a right triangle with 2 legs and a hypotenuse.
The Pole is the vertical leg. The Cable is the hypotenuse. The distance on the ground between the cable and the pole is the 3rd leg.

We are trying to find the hypotenuse which is C in our Pythagorean Theorem.

Thus:
60^2 + 25^2 = C^2

Add the squares:

3600 + 625 = 4225 = C^2

Now take the square root of both sides:
*Remember that in triangles, we cannot have a negative value for the length. (If it's possible, please contact the Nobel Prize admins).

\sqrt{C^2} = C = \sqrt{4225}  = 65

Thus:

C = Length = 65 ft
4 0
3 years ago
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