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Reil [10]
3 years ago
9

Given the following absolute value equation, what would the coordinates of the vertex be?

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

Answer:

  C.  (5,2)

Step-by-step explanation:

For parent function f(x) with vertex at (0, 0), translating it horizontally by "h" and vertically by "k" makes it look like

  f(x -h) +k

and the vertex moves to (h, k).

__

Here, the parent function |x| has its vertex at (0, 0). Writing it as ...

  -3|x -5| +2

moves its vertex to (h, k) = (5, 2).

_____

<em>Additional comment</em>

The factor -3 serves to reflect the graph over the x-axis and expand it vertically by a factor of 3. It has no effect on the translation of the vertex.

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Right the slope intercept form for the line that travels through (4,-1) and is parallel to y=1/4x
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Answer:

Step-by-step explanation:

The slope is given to you by the line y = 1/4 x

The slope is just read as the number in front of x providing that the coefficient of y is 1. If that is not so, then you must divide by the coefficient in front of y. So far what you have is y = 1/4 x + b.

The second part of the question is to use the given point to find b.

x = 4

y = -1

b = ?                       substitute x and y to find b

y = 1/4 * 4 + b

- 1 = 1/4 * 4 + b

-1 = 1 + b

-2 = b

The equation of the line is y = 1/4 x - 2 Just to confirm this, I'm going to include the graph with the point 4,-1 on it.

4 0
3 years ago
What 2 numbers add to get 29 but when you subtract you get 1?
stiks02 [169]

Answer:

15 and 14

Step-by-step explanation:

15+14=29

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2 years ago
A local hamburger shop sold a combined total of 763 hamburgers and cheeseburgers on Saturday. There were 63 more cheeseburgers s
Airida [17]
In order to solve this we'll start by assigning variables to hamburgers and cheeseburgers, since these are what we're trying to find. Lets say x = hamburgers and y = cheeseburgers. So we know two things, we know that x+y= 763 (hamburgers plus cheeseburgers sold equals 763, and we know that y= x+63 (cheeseburgers sold equals 63 more than hamburgers sold). Now we have a system of equations. This can be solved most easily by rearranging each equation to each y, and then set them equal to each other:
x+y=763 -> y=763-x, and we already have y=x+63. Set them equal to each other:
x+63 = 763-x (add x to both sides) -> 2x+63 = 763 (subtract 63 from both sides) -> 2x = 700 (divide both sides by 2) x = 350. So we solved for x, which is hamburgers sold, which is what the question asks for, so your answer is 350 hamburgers were sold on Saturday
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4 years ago
More of my brothers wwork for yalll have fun and tysm!
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Answer: 3/4 x 48
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3 years ago
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Elliaarteaga14
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Answer:20 gallons

Step-by-step explanation:

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