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ch4aika [34]
3 years ago
9

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

Mathematics
1 answer:
Gwar [14]3 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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Part 1:
SVETLANKA909090 [29]

perimeter = 2 times the length plus 2 times the width

 which can also be written as 2(4/3w+w) so the answer is D


part 2

 28 = 2(4/3w+w) when you do the calculation w = 6

length = 4/3 *6 = 8

 area = 6 * 8 =48 square inches

 

3 0
4 years ago
What is the equation of a circle with a center located at 0, -2 in a circumference of 16*3.14
jonny [76]
Circumference = 3.14 * 2 * r  = 3.14 * 16  so r = 8

general equation is  (x - a)^2 + (y - b)^2 = r^2

So our Equation is   x^2 + (y + 2)^2 = 64  (answer)
6 0
3 years ago
PLEASE HELP ME OUT ASAP! I WOULD REALLY APPRECIATE IT AND GOD BLESS
77julia77 [94]
To approximate the P(x<27) we need to find the z-score of the data, this will be given by:
z=(x-μ)/σ
where:
μ-mean
σ-standard deviation
x=27, μ=32, σ=4
z=(27-32)/4
z=-5/4
z=-1.25
thus
P(x<27)=P(z<-1.25)
=0.1056
=10.56%

Answer: 10.56%
5 0
4 years ago
Select the values that make the inequality -n ≤ 6 true.
N76 [4]

Answer:

-6 -5.9 -5

-1 0 1

5 5.9 6

6.1 7 11

7 0
3 years ago
A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth sw
Kisachek [45]

Answer:

a_{n} = 80*(0.95)^{n-1}

Step-by-step explanation:

Geometric sequences:

The nth term of a geometric sequence is given by the following equation.

a_{n+1} = ra_{n}

In which r is the common ratio.

This can be expanded for the nth term in the following way:

a_{n} = a_{1}r^{n-1}

In which a_{1} is the first term.

In this question:

a_{1} = 80, r = \frac{68.59}{72.2} = \frac{72.2}{76} = \frac{76}{80} = 0.95

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

a_{n} = a_{1}r^{n-1}

a_{n} = 80*(0.95)^{n-1}

7 0
3 years ago
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