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3 years ago

(Use the Distributive Property to find an equivalent expression) 2(3x-7y) = ?

Mathematics

1 answer:

IRINA_888 [86]3 years ago

6 0

Answer:

(7y-3x)2

Step-by-step explanation:

It's the same thing but backwards

I hope this helps

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Classify the model as exponential growth or exponential decay. Identify the growth or decay factor AND the percent of increase o

rodikova [14]

The base (with a *positive* exponent) is 7/6, a number larger than 1. Because multiplying by a number larger than 1 makes the quantity increase, this is a growth (not decay) model.

The growth factor is 7/6.

The percentage increase in each time period is (7/6 -1)*100% ≈ 16.67%.

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3 years ago

Use these functions to answer the questions.

Elenna [48]

Part A
We have $f\left(x\right)=\left(x+3\right)^2-1$ . To solve for the x-intercept, we set f(x) equal to 0. That is
$\left(x+3\right)^2-1=0$

$\left(x+3\right)^2=1$

Take the square root of both sides,
$x+3=1$

$x=-2$

The x-intercept is (-2,0).

To solve for the y-intercept, we set x=0. That is
$y=\left(0+3\right)^2-1=3^2-1=9-1=8$

The y-intercept is (0, 8)

The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).

Part B.
We have $g\left(x\right)=-2x^2+8x+3$ .
Factor out -2
$=-2\left(x^2-4x\right)+3$

Complete the square
$=-2\left(x^2-4x+4\right)+3-2\left(4\right)$

Simplify
$g(x)=-2\left(x-2\right)^2-5$

Part C
We have $h\left(t\right)=-16t^2+28t$ .
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.

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4 years ago

Justine graphs the function f(x) = (x – 7)2 – 1. On the same grid, she graphs the function g(x) = (x + 6)2 – 3. Which transforma

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For a parabola of the form $y=(x-h)^2+k$ , its vertex is located at (h, k).
The vertex of f(x) is at (7, -1).
The vertex of g(x) is at (-6, -3).
To move (7, -1) to (-6, -3), we would have to go 13 units to the left and 2 units down. Therefore, moving f(x) 13 units left and 2 units down would map it onto g(x).

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3 years ago

Read 2 more answers

Plz help I need help

fenix001 [56]

Answer:

3 / 4 * 50 = 150 / 4

= 37.5 or 37½ yards

Step-by-step explanation:

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3 years ago

A homeowner plans to enclose a 200 square foot rectangular playground in his garden, with one side along the boundary of his pro

tigry1 [53]

Answer:

The dimensions are 50 and 100 square foot

Step-by-step explanation:

Let x = length of fenced side parallel to the side that borders the playground

y = length of each of the other two fenced sides

Then, x + 2y = 200

<=> x = 200-2y

The Area = xy = y(200-2y)

The dimensions of the playground that will minimize the homeowner's total cost for materials when the area of the playground is maximum. He can cover more area but with the same cost.

The graph of the area function is a parabola opening downward.

The maximum area occurs when y = -200/[2(-2)] = 50

=> x = 100

So the dimensions are 50 and 100 square foot

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4 years ago