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Gnom [1K]
3 years ago
14

The vertex form of the equatio of a parabola is y=6(x-2)^2-8. what is the standard form of the equation?

Mathematics
1 answer:
fomenos3 years ago
5 0
Y = 6x^2 -24x +16.

Standard form y=ax^2+bx+c
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G. Write the equation of the line in slope-intercept form.
Neko [114]

Answer:

  • y= x-2
  • y = 4/5 x+39/5

Step-by-step explanation:

1.

(3,1) and\:perpendicular \:to \: y = -x+1\\(3,1) = (x,y)\\m = -1\\In\: perpendicularism ; m_2 = \frac{-1}{m_1} \\m_2 = \frac{-1}{-1} \\m_2 =1\\y = mx+c\\1 = 1(3) +c\\1=3+c\\1-3=c\\-2 =c\\Substitute \:new \:values\:into\\y =mx+c\\y = 1x -2\\y = x-2

2.

(-1,7) =(x_1,y_1)\\\\5y = 4x+5\\\\Write\:in\:y=mx+c\:form\\\frac{5y}{5} = \frac{4}{5} x + \frac{5}{5} \\y = \frac{4}{5} x +1\\m = \frac{4}{5} \\\\y -y_1=m(x-x_1)\\y-7=\frac{4}{5} (x -(-1)\\y -7 = 4/5(x+1)\\y -7 = 4/5x +4/5\\\\y = \frac{4}{5} x+\frac{4}{5} +7\\\\y = \frac{4}{5} x +39/5

6 0
3 years ago
There is a cereal box and the dimensions are 10 inches tall, 3 inches wide and 7 inches long. If you were to fill the box with c
JulsSmile [24]

Answer:

$6.30

Step-by-step explanation:

First, get the volume of the cereal box with the equation V = lwh.

V = 7(3)(10) = 210 cubic inches

Since it costs $.03 per cubic inch, multiply this cost by the volume to get the total cost to fill the box.

.03(210) = $6.30

6 0
3 years ago
4 1/2 + 2 3/4 +3 1/8
Jet001 [13]

Answer:

<h2>10 1/4</h2>

Step-by-step explanation:

Convert everything to eighths:

4 4/8 + 2 6/8 + 3 1/8 = (4 + 2 + 3) + (1/8 + 4/8 + 6/8) = 9 + (1/8+4/8+6/8) = 9 5/8+6/8 = 9 11/8 = 10 2/8 = 10 1/4

5 0
3 years ago
In a cookie jar containing 6 chocolate chip cookies, 8 sugar cookies, and 10 peanut butter cookies, what is the probability that
Stells [14]
Hello there.

Question: I<span>n a cookie jar containing 6 chocolate chip cookies, 8 sugar cookies, and 10 peanut butter cookies, what is the probability that a person who isn’t looking as they pull out one cookie, will get a chocolate chip cookie?

Answer: First you need to calculate the total of cookies in the jar.
6 + 10 + 8 = 24.
There are 6 chocolate chip cookies. 
Therefore the fraction is </span>\frac{6}{24}
You can simplify it after that if you wish to.

In short, Your answer is \frac{6}{24} .
In simplified form it would be \frac{1}{4}.

Hope This Helps You!
Good Luck Studying ^-^
8 0
3 years ago
In the picture below, which lines are lines of symmetry for the figure?
Tom [10]

Answer:

Option C

Step-by-step explanation:

2 and 4 makes the figure look symmetrical

6 0
3 years ago
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