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aliina [53]
3 years ago
15

How far is a football kicked if its y=-0.03x^2+1.53x

Mathematics
1 answer:
weqwewe [10]3 years ago
4 0
The answer is 51 (not sure of the measurement unit). Assuming you mean the football hits the ground when it's kicked and lands somewhere downfield, y would be 0 (y means height from the ground, and if something is on the ground, it has no height. Hence, the 0). Set the equation equal to 0 and factor to solve for x. 0 = -.03x(x-51). 0 = -.03x and x = 0, or 0 = x-51 and x = 51
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How do I solve this, and what is the answer? please and thank you.
vovangra [49]

Answer:

A. (x +8) + (-4x+31)/(x^2+2x+1)

Step-by-step explanation:

When you perform long division of polynomials, the first quotient term is the ratio of the highest-degree terms in the numerator and denominator: x^3/x^2 = x.

This fact eliminates all but choices A and C.

The denominator of the remainder term is the denominator of the original expression, so will be x^2 +2x +1, as shown in choice A.

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So, simply based on a couple of facts about long division (that you learned in the early elementary grades), you can make the correct choice of answer without actually working the problem in detail.

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This is a polynomial long division problem. It is worked in virtually the same way that numerical long division problems are worked: first you find a quotient term, then you multiply that by the divisor and subtract the result from the dividend. The difference is the new dividend. These steps are identical to numerical long division.

For polynomial long division, instead of lining up the digits with the same place value, you line up the terms with the same degree of the variable.

As mentioned above, the quotient term is computed only from the highest-degree terms of dividend and divisor, so that part is actually simpler than for numerical long division.

A dividend that is of lower degree than the divisor is considered to be the remainder. As with numerical long division, it can be expressed as a fraction with the divisor as the denominator.

Numerical example: 18/7 = 2 remainder 4 or 2 4/7.

8 0
3 years ago
Describe how the range of a data set can help describe its variability.
katovenus [111]

Answer:

The range is defined as the difference between the term with the highest value and the term with the lowest value. This statistic is used to measure the variability of a series of data because it provides information on how far apart the values of a tail of the distribution are from the values at the other end of the tail.

Imagine that you manufacture a type of spare part for cars that must have a measurement of 10 cm with a margin of error of 1 cm.

This is:

10 ± 1 cm

Then you expect your manufacturing process to produce pieces with identical dimensions, that is, with little variability.

If you randomly select a sample of n pieces and measure them, the variability is expected to be low, so that your process is of quality, then expect a low range preferably less than 1 cm.

{10, 10.1, 10.5, 9.8, 9,6, 10.2} Range= 10.5 - 9.6 = 0.9 cm <em> low variability</em>

But if you find that the range is up to 8 cm, this would mean that not all pieces measure around 10 cm, it means that the variability of the measurements is high.

{14, 12, 11, 8, 7, 11, 12, 15} Range = 15 - 7 = 8 cm   <em>high variability </em>

6 0
3 years ago
Read 2 more answers
in chemistry class Andrew has earned scores of 64 69 and 73 on three tests he must maintain an average of 72
olganol [36]
You haven't told me what the question is.  But I put the mouse
to my forehead, closed my eyes, took a deep breath, and I could
see it shimmering in my mind's eye.  It was quite fuzzy, but I think
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                     in order to raise his average to 72% ?"

The whole experience drew an incredible amount of energy
out of me, and the mouse is a total wreck.  So we'll just go ahead
and answer that one.  I hope it's the correct question.

The average score on 4 tests is

                                     (1/4) (the sum of all the scores) .

In order for Andrew to have a 72% average on 4 tests,
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Out of that total that he needs, he already has 

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on the first three tests.

So in order to average 72% for all 4 tests,
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on the fourth one.
6 0
3 years ago
F(x)=x^2 what is g(x)
Triss [41]

Answer: D

Step-by-step explanation:

Sometimes, it is hard to see which function fits g(x). We are given the point (4,1). Luckily, the point lies on g(x). We can plug in (4,1) into the g(x) equations and see which best fits.

A. Incorrect

1=4(4)^2

1=4(16)

1\neq 64

B. Incorrect

1=\frac{1}{4} (4)^2

1=\frac{1}{4} (16)

1\neq 4

C. Incorrect

1=(\frac{1}{2}(4))^2

1=(2)^2

1\neq 4

D. Correct

1=(\frac{1}{4}(4))^2

1=(1)^2

1=1

4 0
3 years ago
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lesya692 [45]

Answer:

formula for a circle: (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center and r is the radius.

1. Plug in center coordinates into formula

(x-3)^2 + (y-(-6))^2 = r^2

2. Plug in radius value

(x-3)^2 + (y-(-6))^2 = 5^2

3. Simplify:

(x-3)^2 + (y+6)^2 = 25

3 0
3 years ago
Read 2 more answers
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