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sweet-ann [11.9K]
3 years ago
5

Add the following Linear Expressions. (-6y - 3) + 5 (3+2.5y)

Mathematics
1 answer:
amm18123 years ago
4 0
Answer= 6.5y+12

distribute the 5 in the parentheses:
(-6y-3) + (15+12.5y)
(you can take away the parentheses after this step)

then add like terms together.
12.5y + (-6y) = 6.5y
15 + (-3) = 12

make it one expression.
6.5y + 12
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A pumpkin is launched directly upwards at 72 feet per second from a platform 24 feet high. The pumpkins height, h, at time t sec
STALIN [3.7K]

Answer: Maximum height =  105 feet

And, It takes 9/4 seconds to reach that point.

Step-by-step explanation:

Here the given function that shows the height of the pumpkin,

h(t) = -16t^2 + 72t + 24 --------(1)

Where t is the time in second.

Differentiating equation (1) with respect to t,

We get,    h'(t) = -32 t + 72

Again differentiating above equation with respect to t,

We get,   h''(t) = -32

For maximum or minimum,    h'(t) = 0

- 32 t + 72 = 0

32 t = 72

t = \frac{9}{4}

At t = 9/4 , h''(t) = Negative value,

Therefore, At t = 9/4 seconds, h(t) is maximum,

And, the maximum value is,

h(\frac{9}{4} ) = -16(\frac{9}{4})^2 + 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -16(\frac{81}{16})+ 72(\frac{9}{4}) + 24

h(\frac{9}{4} ) = -81 + 162 + 24=105

Therefore, the maximum height of the pumpkin is 105 feet at 9/4 seconds

8 0
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3 years ago
On a piece of paper use a protractor and ruler can instruct two equilateral triangles one with a side of length of 3 inches and
frosja888 [35]

Answer:

yes

Step-by-step explanation:    

1. put the compass at 3 inches

2. draw the arch mark at each end of the base line

4. put a dot were both arch marks intersect

5. draw a line connecting the triangle

6.repeat the following steps for the 4 inch triangle


4 0
3 years ago
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