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masya89 [10]
3 years ago
15

The vertex form of an equation is y = 3(x + 2)2 + 1. What is the standard form of the

Mathematics
1 answer:
Zigmanuir [339]3 years ago
3 0

Answer:

y=3x^2+12x+13

a=3

b=12

c=13

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Find the x- and y- intercepts if the line that passes through the given points (-6,-6),(4,-2).
Paul [167]

Answer:

The x-intercept would be 9 and the y-intercept would be -18/5

Step-by-step explanation:

In order to find this we need to first find the slope. To do that we use the two points and the slope equation.

m (slope) = (y2 - y1)/(x2 - x1)

m = (-2 - -6)/(4 - -6)

m = 4/10

m = 2/5

Now that we have the slope, we can use that and either point to find the equation of the line in standard form.

y - y1 = m(x - x1)

y + 6 = 2/5(x + 6)

y + 6 = 2/5x + 12/5

-2/5x + y + 6 = 12/5

-2/5x + y = -18/5

-2x + 5y = -18

Now that we have this, we can find the intercepts through using 0s. First, we put a zero in for y to find the x intercept.

-2x + 5y = -18

-2x + 5(0) = -18

-2x = -18

x = 9

Therefore the x intercept is 9.

We find the y-intercept by doing the opposite. We put a 0 in for x.

-2x + 5y = -18

-2(0) + 5y = -18

5y = -18

y = -18/5

5 0
3 years ago
Read 2 more answers
cole spent $55.00 buying songs and movies at an online store that charges $1.25 for each song and $2.75 for each movie. He purch
Sergeu [11.5K]
If you would like to write and solve a system of equations that represent the situation above, you can do this using the following steps:

s ... number of songs
m ... number of movies

$55.00 = $1.25 * s + $2.75 * m
55 = 1.25 * s + 2.75 * m

26 songs and movies = s + m
26 = s + m
s = 26 - m

55 = 1.25 * s + 2.75 * m
55 = 1.25 * (26 - m) + 2.75 * m
55 = 1.25 * 26 - 1.25 * m + 2.75 * m
55 - 32.5 = 1.5 * m
22.5 = 1.5 * m
m = 22.5 / 1.5 = 15 movies

s = 26 - m = 26 - 15 = 11 songs

The correct result would be 15 movies and 11 songs.
6 0
3 years ago
Carlos has 315 rows of plants left to water. If Carlos has 23 gallons of water in his bucket, how many gallons of water can Carl
baherus [9]

Answer:

The answer is 13.6

Step-by-step explanation:

13.6 in fraction form is \frac{68}{5} or 13\frac{3}{5}

3 0
3 years ago
-6x+6y=6<br> -6x+3y=-12<br> How do you solve this problem?
sergij07 [2.7K]

Answer:

That's called system of equations. it is like adding and subtracting.

Step-by-step explanation:

first you want to find x or y. i will choose x. in order to do that you need to put one, ill do the first one but you can do first or second, and change it to negative (-6x+6y=6) or -(-6x+6y=6), changing it to 6x - 6y = -6. then the two x's will be cancled since 6-6 is 0. now you add 6y and 3y, and 6 with -12. get your answer, and do the same thing to y, too. sorry if its a bit confusing, took me a while to learn it too. this is highschool stuff so thats why you will although im im middle too!

3 0
3 years ago
Need help quick its due at 9
DanielleElmas [232]
Their equal because they both go the same
7 0
3 years ago
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