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dmitriy555 [2]
2 years ago
9

Which of the following represents the range if the function g(x) below? G(x) = 5(x - 2) ^ 2 - 7

Mathematics
1 answer:
Savatey [412]2 years ago
3 0

Answer:

[-7,∞)

Step-by-step explanation:

This function is a parabola that has a positive coefficient, so the parabola will open upwards (or make a smile if you want to call it that). The vertex is located at (2,-7) because of the vertex equation, so you know that the y values are greater than or equal to -7.

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Solve for x. The triangles in each pair are similar. <br>​
KatRina [158]

Answer:

Step-by-step explanation:

You need to pay very close attention to the triangle similarity statement.  This says that triangle NML is similar to triangle NVU.  But if you look at the way that triangle NVU is oriented in its appearance, it's laying on its side.  We need to set it upright so that angle N is the vertex angle, angle V is the base angle on the left, and angle U is the base angle on the right.  When we do that we see that sides NV and NM are corresponding and exist in a ratio to one another; likewise with sides VU and ML.  Setting up the proportion:

\frac{NV}{NM}=\frac{VU}{ML}

Filling in:

\frac{12}{36} =\frac{9}{9x}

Cross multiply to get

324 = 108x

and x = 3

3 0
3 years ago
Suppose that 14 inches of wire costs 84 cents.
mamaluj [8]

Answer: 222 cents

Step-by-step explanation: 84/14 = 6 This is the unit rate.

6 x 37 = 222

6 0
1 year ago
Read 2 more answers
Select the correct answer.
Scilla [17]

Answer:

Approximately (2, 1)

See image

Step-by-step explanation:

Rearrange each equation so it is ready to be graphed on an x-y-axis (see image) look for the point where the two lines cross. This is the solution for the system of equations.

3 0
2 years ago
Is 0.33333333333333333333333333333333333333.............. a rational number?
fenix001 [56]
I don't think it is. I may be wrong though
6 0
2 years ago
The area of the Pacific Ocean is 63,780,000 square miles. The Atlantic Ocean is 2.27 cross times 10 to the power of 7 square mil
olganol [36]

Answer:

4.11 * 10⁷ square miles

Step-by-step explanation:

Let P = pacific ocean

A = Atlantic ocean

P = 63,780,000 = 6.38 * 10⁷

Since A is 2.27 * 10⁷ square miles smaller than the pacific ocean,

The area of A = 6.38 * 10⁷ - 2.27 * 10⁷

The area of the atlantic ocean = 4.11 * 10⁷ square miles

4 0
2 years ago
Read 2 more answers
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