Aaron solved an inequality and then graphed the solution as shown

Mathematics

1 answer:

Solnce55 [7]3 years ago

3 0

Answer: A

Step-by-step explanation:

Just took the test

You might be interested in

Prove that when x > 1, a triangle with side lengths a = x2 − 1, b = 2x, and c = x2 + 1 is a right triangle. Use the Pythagore

leonid [27]

Answer:

x^2 + 2x^2 + 1 = x^4 + 2x^2 +1

Step-by-step explanation:

pythagorean theorem

a^2 + b^2 = c^2 where a and b are the legs

substitute what we know

(x^2 -1)^2 + (2x)^2 = (x^2+1)^2

FOIL

(x^2 -1)^2 = (x^2-1 ) (x^2-1) = x^4 -x^2 - x^2 +1 = x^4 -2x^2 +1

(2x)^2 = 4x^2

(x^2+1)^2 = (x^2+1 ) (x^2+1) = x^4 +x^2 +x^2 +1= x^4 + 2x^2 +1

substitute these back in

x^4 -2x^2 +1 +4x^2 = x^4 + 2x^2 +1

combine like terms

x^2 + 2x^2 + 1 = x^4 + 2x^2 +1

Since the left and right side are equal, this is a right triangle

4 0

3 years ago

Read 2 more answers

Find an equation for the line with an x-intercept of 4 and y-intercept of -2

Bumek [7]

Answer:

Step-by-step explanation:

The x-intercept exists when y = 0; the coordinate that results from our x-intercept is (4, 0).

The y-intercept exists when x = 0; the coordinate that results from our y-intercept is (0, -2).

We can use these 2 coordinates to find the slope of the line we need to write:

$m=\frac{-2-0}{0-4}=\frac{1}{2}$

Now we can use that slope along with one of our points to write the equation of the line. I am going to use the point-slope form, then we will solve it for y to put it into slope-intercept. Let's use the coordinate (4, 0). Keep in mind that regardless of which point we choose to use to write our equation, we will get the same equation.

y - 0 = 1/2(x - 4) and

y = 1/2x - 2

That's your equation!

6 0

3 years ago

The rate a car travels varies inversely with the time of the trip. If a car traveling 63 miles per hour can make the

Dahasolnce [82]

Answer:

2.25 hours

Step-by-step explanation:

7 0

3 years ago