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Alex777 [14]
4 years ago
6

Simplify.

Mathematics
2 answers:
Eva8 [605]4 years ago
7 0

Answer:

-9905

Step-by-step explanation:

Zielflug [23.3K]4 years ago
5 0
It’s -9905
Multiply -14 by 170 then subtract 9940 by 35
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Ruby tosses a quarter off the main stree bridge into the St. John's River. The distance, in feet, the quarter is above the water
MatroZZZ [7]

Step-by-step explanation:

d(t) = -16t² + 96t + 112

A) The quarter's initial height is at t = 0.

d(0) = -16(0)² + 96(0) + 112

d(0) = 112

The quarter is tossed from a height of 112 feet.

B) The maximum height is at the vertex of the parabola, which is at x = -b/(2a).

t = -(96) / (2 × -16)

t = 3

The quarter reaches its maximum height after 3 seconds.

C) d(3) = -16(3)² + 96(3) + 112

d(3) = 256

The quarter reaches a maximum height of 256 feet.

D) When the quarter lands in the water, d(t) = 0.

0 = -16t² + 96t + 112

0 = t² − 6t − 7

0 = (t + 1) (t − 7)

t = -1 or 7

Since t can't be negative, t = 7.  So the quarter lands in the water after 7 seconds.

5 0
3 years ago
What is the volume of this aquarium?
8090 [49]
Volume is length x width x height so 24 x 12 x 18 is your answer
6 0
3 years ago
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Explain why the ratio 2 to 5 is different from the ratio 5 to 2 if they both represent the ratio of cats to dogs.
Fynjy0 [20]
The ratio 2 to 5 means there are 2 cats and 5 dogs but the 5 to 2 ratio means there are 5 cats and 2 dogs.
7 0
3 years ago
What is the value of x?
Juli2301 [7.4K]

Answer:

x = 3 sqrt 2

Step-by-step explanation:

We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:

6 = x sqrt 2

x = 6/sqrt 2

Rationalize the denominator:

x = (6 sqrt 2)/2

x = 3 sqrt 2

3 0
3 years ago
F(x) = (x + 1)(x - 3)(x - 4)
Vladimir [108]

Answer:

f(x)  x^3 - 2x^2 + 5x + 12

Step-by-step explanation:

Next time please share the goal.  I'm guessing your intent was to multiply out the given function.

f(x) = (x^2 + x - 3x - 3)(x - 4), or

      = (x^2 - 2x - 3)(x - 4)

Now apply the distributive property of multiplication:

f(x) = x^3 - 4x^2 - 2x^2 + 8x - 3x + 12, or

      = x^3 - x^2(4 - 2) + x(5) + 12, or

f(x)  x^3 - 2x^2 + 5x + 12

6 0
4 years ago
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