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Grace [21]
4 years ago
14

One x-intercept for a parabola is at the point

Mathematics
1 answer:
Fudgin [204]4 years ago
7 0

Answer:

(2,0) was already given so (-1,0) is the other one.

Step-by-step explanation:

So we are asked to use the quadratic formula.

To find the x-intercepts (if they exist) is use:

\text{ If } y=ax^2+bx+c \text{ then the } x-\text{intercepts are } (\frac{-b \pm \sqrt{b^2-4ac}}{2a},0).

Let's start:

Compare the following equations to determine the values for a,b, \text{ and }c:

y=ax^2+bx+c

y=4x^2-4x-8

So

a=4

b=-4

c=-8

We are now ready to enter into our formula:

x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}

x=\frac{4 \pm \sqrt{(-4)^2-4(4)(-8)}}{2(4)}

x=\frac{4 \pm \sqrt{16+16(8)}}{8}

x=\frac{4 \pm \sqrt{16(1+8)}}{8}

x=\frac{4 \pm \sqrt{16}\sqrt{1+8}}{8}

x=\frac{4 \pm 4\sqrt{9}}{8}

x=\frac{ 4 \pm 4(3)}{8}

x=\frac{4 \pm 12}{8}

x=\frac{4(1\pm 3)}{8}

x=\frac{1(1\pm 3)}{2}

x=\frac{1 \pm 3}{2}

x=\frac{1+3}{2} \text{ or } \frac{1-3}{2}

x=\frac{4}{2} \text{ or } \frac{-2}{2}

x=2 \text{ or } -1

So the x-intercepts are (2,0) and (-1,0).

(2,0) was already given so (-1,0) is the other one.

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If carpet costs $12 per square yard. How much will it cost to carpet a room that is 180 square feet?
Vesnalui [34]
12$ per 3×3 if its square yard

so 180 ÷ 9 = 20

20×12$=240$
3 0
3 years ago
The tires on your bicycle have a radius of 8 inches. How many rotations does each tire make when you travel 700 feet? Round your
Inessa [10]
"One rotation" would be the circumference of the wheel, which is

C = 2*pi*r, or  (here)  C = 2*pi*(8 inches) = 16*pi inches.

                                                                       1 ft
Convert this to feet:  16*pi inches  times  ---------------
                                                                   12 inches

Here "inches" cancels out and you are left with (4/3)pi ft.

So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.

Divide this into 700 feet:

700 ft            2100 
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft        4
7 0
4 years ago
Please help!!! 25 points!!
Eduardwww [97]
<h3>Answer: B) y = -x</h3>

==============================================

Work Shown:

g(x) = x^2-2

g(-2) = (-2)^2-2

g(-2) = 2

Saying (-2, g(-2)) is the same as saying (-2, 2)

---------------

g(x) = x^2-2

g(1) = 1^2 - 2

g(1) = -1

Saying (1, g(1)) is the same as saying (1, -1)

---------------

Let's find the slope of the line through (-2,2) and (1,-1)

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

m = (-1-2)/(1-(-2))

m = (-1-2)/(1+2)

m = -3/3

m = -1

Now turn to point slope form to find the equation

y - y1 = m(x - x1)

y - 2 = -1(x - (-2))

y - 2 = -(x + 2)

y - 2 = -x - 2

y-2+2 = -x-2+2 ... add 2 to both sides

y = -x

You could use the other point (1,-1) and you'd get the same answer. The slope m = -1 is the same each time.

7 0
4 years ago
A television screen measures 30 cm wide and 22 cm high. what is the diagonal measure of the screen
vladimir2022 [97]
I hope this helps you

8 0
4 years ago
With previous paper!
kodGreya [7K]
Nine is the last choice ten is adding all brass then all percussion and divide as much as possible then that's your answer.
so the answer is three 



5 0
3 years ago
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