Need help with number 12. Thanks

Mathematics

1 answer:

Licemer1 [7]3 years ago

6 0

7x - 7 = 3x + 45
4x = 52
x = 13

7x - 7 = 7(13) - 7 = 84

y - 6 = 180 - (84 + 63)
y - 6 = 180 - 147
y - 6 = 33
y = 39

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The expression for perimeter of a rectangle<br> with a length of (x + 7) and a width of (2x)

tatuchka [14]

Answer:

P = 6x + 14

Step-by-step explanation:

P = 2l + 2w

where P is perimeter, l is length, and w is width

l = x + 7

w = 2x

So P = 2(x+7) + 2(2x)

Distribute the 2 to the x and 7.

P = 2*x + 2*7 + 2*2x

Multiply each term out

P = 2x + 14 + 4x

Group the xs

P = 2x + 4x + 14

Combine like terms

P = 6x + 14

3 0

3 years ago

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Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing? (–∞, –3) (–∞, 2) (–3, ∞) (

SOVA2 [1]

Answer:

(–∞, –3)

Step-by-step explanation:

The function $f(x) = 2(x + 3) ^ 2 +2$ is a quadratic function of order 2 and positive coefficient.

This is in the form of the function $y = x^2$ , but it is displaced 3 units to the left of the x axis and two units up in the y axis. type of functions are decreasing from -∞ to its vertex and then they are increasing from the vertex to infinity.

Observe in the attached graph that this function has its vertex in the point (-3, 2) and is decreasing from -∞ to x = -3. Then it is increasing until ∞. Therefore the correct option is:

(-∞, -3)