Mikes favorite peaches are $2.50 per pound at the local farmers market. She bought 13.5 pounds. how much did she spend?

Find the solutions to the system of equations. Select all that apply. Y=x^2-1 y=2x-2

Sliva [168]

Answer:

Option C (1, 0)

Step-by-step explanation:

We have a system with the following equations:

$y = x ^ 2-1\\\\y = 2x-2$

The first equation is a parabola.

The second equation is a straight line

To solve the system, substitute the second equation in the first and solve for x.

$2x-2 = x ^ 2 -1$

Simplify

$x ^ 2-2x + 1 = 0$

You must search for two numbers that when you add them, obtain as a result -2 and multiplying both results in 1.

These numbers are -1 and -1

Therefore

$x ^ 2-2x + 1= (x-1)(x-1)\\\\x ^ 2-2x + 1= (x-1)^2=0$

Finally the solutions are

$x = 1\\y =0$

8 0

3 years ago

Read 2 more answers

Which information can always be read directly from an equation written in point-slope form?

Mariulka [41]

Answer:

The location of a point on the line

Step-by-step explanation:

Generally, we can write an equation in the point slope form as follows;

y-y1 = m(x-x1)

Where m is the slope of the line

So looking at the option, we can easily see that the information we can read directly from the point-slope form is the location of a point on the line.

We can easily tell the value of (x1,y1) which easily gives out the location of that point on the line

3 0

3 years ago

Write 5.5% as a fraction in simplest form

worty [1.4K]

Answer:

11/200

Step-by-step explanation:

5.5% = 5.5/100 = 0.055

0.055 1000

———- X ———

1 1000

=55/1000

=11/200

4 0

2 years ago

Given that the domain is all real numbers, what is the limit of the range for the function ƒ(x) = 4^2x - 100?

andreev551 [17]

[ -100, ∞ ). as X decreases f of x approaches -100 asymptotically as X increases f of x increases without bound

7 0

3 years ago

Read 2 more answers

Use the rectangle hexagon with side length 10 meters to fill in the missing information

Vlada [557]

Answer:

$A_h=150\sqrt{3}\ m^2$

Step-by-step explanation:

<u>Regular Hexagon</u>

For the explanation of the answer, please refer to the image below. Let's analyze the triangle shown inside of the hexagon. It's a right triangle with sides x,y, and z.

We know that x is half the length of the side length of the hexagon. Thus

$x=5 m$

Note that this triangle repeats itself 12 times into the shape of the hexagon. The internal angle of the triangle is one-twelfth of the complete rotation angle, i.e.

$\theta=360/12=30^o$