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3 years ago

Write the equation of the parabola in standard form

Mathematics

2 answers:

Elan Coil [88]3 years ago

8 0

Answer:

Its y=ax^2+bx+c

Step-by-step explanation:

i did it on edge

Igoryamba3 years ago

3 0

At those two x-intercepts, I know that x=2 and x=-2.
to get this, I know that there are two factors set to 0.
x+2=0 and x-2=0
so, if you multiply (x+2)(x-2)=y
then you will have standard form
x^2+2x-2x-4=y
y=x^2-4

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Find the equation of the line that passes through the points (-5,7) and (2,3)

Olegator [25]

Answer:

$y=-\frac{4}{7}x+4\frac{1}{7}$

Step-by-step explanation:

So, in order to solve this problem, I started off by drawing it out. On my graph that I have attached below, I first started out by locating the points (-5,7) and (2,3). Now, this is an optional step, but I highly encourage practicing your graphing skills by solving this problem on graph paper as well. Next, I connected the two points that I just graphed. This is the line that passes through (-5,7) and (2,3).

Now, here is where the actual solving starts. If you haven't already been taught this yet, I will introduce it to you now. I am going to find the equation of this line by filling in what I know in the equation y=mx+b, where m= the slope of the line, and b= y intercept.

Slope of the line: m= $\frac{y_{1} - y_{2} }{x_{1} - x_{2} } = \frac{7-3}{-5-2} = \frac{4}{-7}= -\frac{4}{7}$

If you haven't been taught how to find the slope of a line I recommend you find out.

Substitute the slope into the equation.

$y=-\frac{4}{7} x+b\\$

Now, we will solve for the 'b,' or y intercept.

We already have x and y values to use: (-5,7) or (2,3). I'll use x=2 and y=3 to solve for the y intercept.

$y=-\frac{4}{7} x+b\\\\3=-\frac{4}{7} *2+b\\\\3=-\frac{8}{7} +b\\b=3+\frac{8}{7} \\b=\frac{21}{7}+\frac{8}{7}=\frac{29}{7} =4\frac{1}{7} \\b=4\frac{1}{7}$

Last step: substitute the slope and y intercept into y=mx+b.

$y=mx+b\\y=-\frac{4}{7}x+4\frac{1}{7}$

That is the answer to this problem.

I hope this helps.

3 0

4 years ago

Plz help<br> 15 + (-8) =

Effectus [21]

Answer:

Step-by-step explanation:

15 + (-8)

The answer would be 7 because you are only taking 15 plus negative 8 which would technically be the same as taking 15 minus 8, which would be 7.

Hope this helps! Please mark as brainliest! Thanks! Let me know if you need anymore help! :D

6 0

3 years ago

If the nth term of an AP is (7-4n) then its common difference is

Hitman42 [59]

Given nth term of an AP = 7-4n

Put n = 1 then t1 = 7-4(1) = 7-4 = 3

Put n = 2 then t2 =7-4(2) = 7-8 = -1

Common difference = t2-t1 = -1-3 = -4

3 0

3 years ago

Which inequalities are true? Choose all answers that are correct.

Fudgin [204]

A) $5 \ \textless \ -7$ is false. There is no solution.
B) $-3 \ \textgreater \ -1$ is false. There is no solution.
C) $8 \ \textgreater \ -13$ is true. It has infinite solutions.
D) $-10 \ \textless \ -6$ is true. It has infinite solutions.
E) $-14 \ \textless \ -15$ is false. There is no solution.

7 0

3 years ago

Ethan bought 4 packages of pencils. After he gave 8 pencils to his friends, he had 40 pencils

LiRa [457]

He had 40 pencils left after he gave away 8, so originally he had 40 + 8 pencils, which is 48.

Now, he bought 4 packages, which had a total of 48 pencils, so divide 48 by 4, which is 12. He had 12 pencils in each package.

To determine the solution arithmetically, first add 8 to 40, then divide 48 by 4.

To determine the solution algebraically, set up and solve the equation 40 = 4x - 8.

Each package contained 12 pencils.

Hope this helps

8 0

3 years ago