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3 years ago

Write the quadratic equation y=x^2-6+7 in vertex form

1 answer:

7 0

Half the x-coefficient is -3, so the equation needs to be rearranged into a form that looks like
x² -6x +(-3)² + [something]
You can get there by adding and subtracting 9 from the original equation.
y = x² -6x +9 +7 -9 . . . . . 9 added and subtracted
y = (x² -6x +9) -2
The quantity in parentheses is a perfect square, so we can write the equation in the desired form as ...
y = (x -3)² -2

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What is the slope, m, and the y-intercept of the line that is graphed below? On a coordinate plane, a line goes through points (

salantis [7]

Answer:

m = 1; (0, 3) is the correct answer.

Step-by-step explanation:

The general equation of a line is given by:

$y=mx+c$

where, m is the slope of line

c is the y-intercept and

(x,y) are the points from where the line passes.

We are given that the line passes through 2 points (-3,0) and (0,3).

Putting the values of (x,y) in the equation of line.

Putting (0,3):

$3 = m \times 0 + c\\\Rightarrow c =3$

So, y-intercept is (0,3).

Hence, equation of line becomes:

$y = mx + 3$

Putting (-3,0) in $y = mx + 3$ :

$0 = m(-3) +3\\\Rightarrow 3m = 3\\\Rightarrow m =1$

So, the equation of line becomes:

$y = x +3$

Please find attached graph.

m = 1; y intercept (0, 3) is the correct answer.

5 0

3 years ago

Read 2 more answers

Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 15 feet by 15 feet by 3 inches for a patio if

DerKrebs [107]

The answer is C. $95.83. To get the answer, you need to convert all units into yard first. Then, multiply all the given numbers having a result of 2.0827 cubic yards. Lastly, multiply the result to the concrete cost of $46. So the cost to pour a slab for a patio is $95.83.

8 0

3 years ago

A box has length 7 feet width 4 feet and height 5 inches find the volume of the box in cubic feet and in cubic inches

Tanzania [10]

Answer:

20160in3

Step-by-step explanation:

1.) Convert all measurements to inches

7ft = 84in

4ft = 48in

5in = 5in

2.) Multiply all of the values to find the volume

84in x 48in x 5in = 20160in3

6 0

3 years ago

How many times does 15 go onto 11

stiks02 [169]

The awnser is 0!!!!!!!!!

7 0

3 years ago

One pencil is randomly selected from a case containing 3 red, 4 green, 2 black and 6 blue pencils. What is the probability of a

matrenka [14]

First off, you add the total amount of pencils which is as follows:

3+4+2+6=15

There are 15 pencils

There are 4 green pencils so the comparison/probability is equivalent to the following:

4:15, $\frac{4}{15}$ , 26%

4 0

3 years ago