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ch4aika [34]
2 years ago
9

Graph the equation. y=2x^2-8x+3y=2x 2 −8x+3

Mathematics
1 answer:
Gwar [14]2 years ago
8 0

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The equation can be rewritten to vertex form, so you can tell the vertex is at (2, -5). The leading coefficient of 2 means the points will be twice as far apart vertically than they would be if the leading coefficient were 1. A couple of points are shown in the attached.

  y = 2(x^2 -4x) +3

  y = 2(x^2 -4x +4) +3 -8 . . . . . . complete the square

  y = 2(x -2)^2 -5 . . . . . . . . . . . . finish putting in vertex form

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can someone pls help me? i have no idea what to do. pls show the work steps for the questions. i will mark u as
tiny-mole [99]

Ok, so the question is based on geometric progression. Remember, the formula for calculating the nth-term of a geometric progression is: a*r^{n-1}. The a in the expression stands for the 1st term of the sequence, and r is the common ratio of the elements of the sequence. Now let's take a look at the problem.

"A ping pong ball has a 75% rebound ration". We can infer that our common ratio, r, is 75% which is 0.75.

"When you drop it from a height of k feet...", this means the first height you drop it from, a.k.a, the first term.

Now going back to the expression, the nth-term = a*r^{n-1}, we can substitute our common ration, 0.75 with r, and our 1st term, k, with a. This becomes: k * 0.75^{n-1}. This becomes our expression.

a. The highest height achieved by the ball after six bounces. Our nth-term here is 6, so let's use our expression to find the 6th term. n_{6} = 235 * 0.75^{6-1} = 235*0.75^{5} = 235*0.2373 = 55.7655ft

b. The total distance travelled by the ball when it strikes the ground for the 12th time. This involves the use of the sum of elements in the geometric progression. The formula for that is \frac{a(1 - r^{n})}{1-r}, provided that r is less than 1, which it is in this case, since 0.75 is less than one. Our nth-term here is 12, so we substitute.

\frac{235(1-0.75^{12})}{(1-0.75)} = 910.2242ft

6 0
2 years ago
What is the simplest form of this expression?<br> -(х – 2)(3х2 + 4х-5)
skad [1K]

Answer:

C

Step-by-step explanation:

3x^2 * -x =-3x^3

3x^2 * 2. =6x^2

4x* -x =-4x^2

4x * 2 = 8x

-5 * -x = 5x

-5 * 2 = -10

6x^2 + -4x^2 = 2x^2

8x+5x = 13 x

Ans: -3x^3 + 2x^2 + 13x -10

7 0
3 years ago
Read 2 more answers
I NEED THE ANSWER FAST PLZ!!<br> What is the slope of this line?
Elina [12.6K]

Answer:

the slope of this line is 0

hope it helps

Step-by-step explanation:

Is the horizontal line edging upward; that is, is it an increasing line? No, so its slope can't be positive. Is the horizontal line edging downward; that is, is it a decreasing line? No, so its slope can't be negative. What number is neither positive nor negative?

5 0
2 years ago
I'll give brainliest<br><br><br> -4n(5n+6)-5(3+3n)
motikmotik

Answer:

-20n^2-39n-15

Step-by-step explanation:

8 0
2 years ago
In each of the following word problems, the question is missing. Write a possible question for each word problem.
garik1379 [7]

The question that can complete the given word problem is, The material comes in pieces of 5 years each. <em>How many </em><em>pieces</em><em> of </em><em>materials </em><em>are needed to </em><em>make a coat</em><em>?</em>

<h3>What question can be formed?</h3><h3 />

You are given the number of yards that are needed to make a coat so the question should be centered around that.

Questions that go best with such information are those that have to do with solving for the number of materials that would be needed to make the coat.

You can therefore supply the length of each piece of material, and then find out how many materials would then be needed to make a coat.

Find out more on formulating questions at brainly.com/question/11876376.

#SPJ1

4 0
1 year ago
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