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frosja888 [35]
3 years ago
12

(10x2 + 99x – 5) ÷ (x + 10) =

Mathematics
2 answers:
meriva3 years ago
7 0

The answer to this problem is 10x - 1 with a 5 reminder, which can also be written as 10x - 1 + 5/(x + 10).

To find this, we first have to turn it into a long division problem. First we look to see how many times x goes into 10x^2.

10x^2/x = 10x.

Now we eliminate the first term and multiply the 10x by the second term.

10x * 10 = 100x.

We now subtract that 100x from 99x. This gives us a -x remainder. We can now see how many times x goes into that as well.

-x/x = -1

This gives us the final answer of 10x - 1 with a 5 remainder.

Gennadij [26K]3 years ago
5 0
The answer is 15+99x
______
x+10
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The following system has a solution of x=-5, y=9, z=11.
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3 years ago
NASA launches a rocket at t = 0 seconds. Its height, in meters above sea-level, as a function of time is given by h ( t ) = − 4.
Aleks [24]

Answer:

A.) 24.08 seconds

B.) 825.42 metres

Step-by-step explanation:

function of time is given as

h ( t ) = − 4.9 t 2 + 118 t + 115 .

Where a = -4.9, b = 118, c = 115

Let's assume that the trajectory of the rocket is a perfect parabola.

The time t the rocket will reach its maximum height will be at the symmetry of the parabola.

t = -b/2a

Substitute b and a into the formula

t = -118/-2(4.9)

t = 118/9.8

t = 12.041 seconds

Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.

2t = 2 × 12.041 = 24.08 seconds

Therefore, the rocket splashes down after 24.08 seconds.

B.) At maximum height, time t = 12.041s

Substitute t for 12.041 in the function

h ( t ) = − 4.9 t 2 + 118 t + 115

h(t) = -4.9(12.041)^2 + 118(12.041) + 115

h(t) = -4.9(144.98) + 118(12.041) + 115

h(t) = -710.402 + 1420.82 + 115

h(t) = 825.42 metres

Therefore, the rocket get to the peak at 825.42 metres

6 0
3 years ago
A recent survey found that 7575​% of all adults over 50 wear glasses for driving. In a random sample of 4040 adults over​ 50, wh
malfutka [58]

Answer:

Mean = 30

standard Deviation = 2.74

Step-by-step explanation:

Formula

mean = np

Standard Deviation = \sqrt{npq}

from the question = 40

P = 75% or 0.75

q = 1 - p = 1 - 75% or 1 - 0.75

To find mean

mean = 40 x 0.75

           = 30

For Standard Deviation (SD)

Standard Deviation = \sqrt{npq}

       = \sqrt{40 X 0.75 X 0.25

      = \sqrt{7.5}

:. Standard  Deviation       = 2.74

5 0
3 years ago
Solve the system of equations algebraically.
ryzh [129]

Answer:

hi

Step-by-step explanation:

y=3x+24

y-3x=24

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2.

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6x+y= -4

x+y= -4/6= -2/3

x+y= -2/3

8 0
1 year ago
Read 2 more answers
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