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maksim [4K]
2 years ago
9

3. A ball bounces and you are launching a rock to hit it. The equation of the ball bouncing is

Mathematics
1 answer:
natka813 [3]2 years ago
6 0

Answer:

When x = 6.

Step-by-step explanation:

WE need to solve the system:

y = - x^2 + 4x + 4

y = -2x + 4

Equating:

- x^2 + 4x + 4 = -2x + 4

0 = x^2 - 4x - 4 - 2x + 4

x^2 - 6x = 0

x(x - 6) = 0

x = 0, 6.

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Determine the equation of the linear graph that passes through (-2,3) and (4,6). State your answer in the
Lena [83]

The linear equation is y = 4 + 0.5x

<h3>How to determine the equation?</h3>

The points are given as: (-2,3) and (4,6)

The equation is then calculated using:

y = \frac{y_2 -y_1}{x_2 -x_1} *(x - x_1) + y_1

Substitute the known values

y = \frac{6-3}{4+2} *(x+2) + 3

Evaluate

y = 0.5 *(x+2) + 3

Expand

y = 0.5x + 1 + 3

Evaluate the sum

y = 0.5x + 4

Rewrite as:

y = 4 + 0.5x

Hence, the equation is y = 4 + 0.5x

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3 0
2 years ago
23 points!If the length of the pool is 14 1/2 feet,the width is 6 1/2, and the depth is 6 1/2 feet, what is the volume of the po
valentinak56 [21]

Answer:

The answer is 26 1/2

Step-by-step explanation:

3 0
3 years ago
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Which equations are related equations to 14 + x = 26? Select each correct answer. X=26−14 26 + 14 = x 14=26−x 14−x=26
luda_lava [24]

Answer:

x = 26 - 14

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Step-by-step explanation:


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3 years ago
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Write a function to represent the set of ordered pairs.
77julia77 [94]

Answer:

Option C   f (x) = x^ 2 - 2

Step-by-step explanation:

Note that the relation describing the set of ordered pairs does not change at a costing rate

y_2 -y_1 = 7-2 = 5\\\\y_3 -y_2 = 14- 7 = 7\\\\y_4 - y_3 = 23- 14 = 9

Therefore the relationship is not linear.

However, the exchange rate y_n- y_{n-1} increases by a factor of 2 units when n increases 1 unit. This allows us to conclude that the relationship is quadratic

Note that the following ordered pairs belong to the function

y = x ^ 2

A = {(2, 4), (3, 9), (4, 16), (5, 25)}

The set of ordered pairs that we have is:

B = {(2, 2), (3, 7), (4, 16), (5, 23)}

Note that there is a similarity between both sets of ordered pairs.

In set B the values of y are always 2 units less than the values in y of the set A.

Then we deduce that since the function that models the set A is y = x ^ 2 then the function that contains the ordered pairs of the B set is:

y = x ^ 2 -2

The correct option is option C) f (x) = x^ 2 - 2

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It takes Benjamin 28 minutes to mow two lawns. Assuming along with the same size and Benjamin works at the same speed about how
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