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mariarad [96]
3 years ago
9

(07.08)

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
6 0

If the given expression is simplified we get a. -4x² - 3x + 2.

Explanation:

  • The numerator has three terms while the denominator only has one term. We divide the numerator terms each separately with the denominator term.
  • So 8x³ + 6x² - 4x / -2x becomes (8x³ / -2x) + (6x² / -2x) + (- 4x/ -2x).
  • The simplification of the first term; 8 / -2 = -4, x³ / x = x². So the first term is -4x².
  • The simplification of the second term; 6 / -2 = -3, x² / x = x. So the second term is -3x.
  • The simplification of the third term; -4 / -2 = 2, x / x = 1. So the third term is 2.
  • Adding all the terms we get -4x² - 3x + 2. This is the option a.
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Maurinko [17]

h(t) is the height of the diver in feet above the water

Now it asks about the time at which diver reaches the water

When diver reaches the water , the height of diver from water should be zero

So we plug h(t) =0

So

-16t^2 -16 t +192 =0

divide whole equation by -16

t^2 +t -12 =0

we can now factor the quadratic equation

So we get

(t+4)(t-3) =0

plug each factor equal to zero and solve for t

t+4 =0 and t-3 =0

So t=-4 and t=3

Now time cannot be negative , So t=3

So time = 3 seconds

It takes 3 seconds for the diver to reach the water

3 0
3 years ago
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GenaCL600 [577]

Answer:

g(x) - f(x) = -14x - 3

Step-by-step explanation:

We need to subtract the function f(x) = 9x + 4 from the function g(x) = -5 + 1.  Rewriting these two functions in columns, we get

       g(x)= -5x+1

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--------------------

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6 0
2 years ago
What is a slope of -5,-10 and -1,5
Leno4ka [110]

Step-by-step explanation:

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6 0
3 years ago
10 POINTS!! HELP ASAP!! What is the length of AC?
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Answer:

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Step-by-step explanation:

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\frac{CE}{CA} = \frac{ED}{AB} , substitute values

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12x = 156 - x ( add x to both sides )

13x = 156 ( divide both sides by 13 )

x = 12

Thus

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4 0
3 years ago
Read 2 more answers
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yawa3891 [41]

Answer:

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Step-by-step explanation:

convert the percentage to a decimal

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multiply 295*0.0475

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6 0
3 years ago
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