All categories

3 years ago

Solve the following system of equations and show all work. y = -x^2 + 4 y = 2x + 1

1 answer:

8 0

-x^2 + 4 = 2x + 1
-x^2 - 2x + 4 - 1 = 0
-x^2 - 2x + 3 = 0
(x + 3)(-x + 1)= 0

x + 3 = 0 -x + 1 = 0
x = -3 -x = -1
x = 1

so x = -3 and x = 1

You might be interested in

A motorboat takes 5 hours to travel 150 miles going upstream. The return trip takes 3 hours going downstream. What is the rate o

lys-0071 [83]

Answer:

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

Step-by-step explanation:

we know that

The speed or rate is equal to divide the distance by the time

Let

x ----> the rate of the current (miles per hour)

y ----> the rate of the boat in still water (miles per hour)

we have that

going upstream

$y-x=\frac{150}{5}$

$y-x=30$ ----> equation A

going downstream

$y+x=\frac{150}{3}$

$y+x=50$ ----> equation B

Solve the system of equations by elimination

Adds equation A and equation B

$y-x=30\\y+x=50\\------\\y+y=30+50\\2y=80\\y=40$

Find the value of x

$y+x=50$

$40+x=50$

$x=10$

therefore

The rate of the boat in still water is 40 miles per hour

The rate of the current is 10 miles per hour

8 0

2 years ago

Eduardo has purchased a home with an assessed value of $179,000. The property tax rate in his area is 2.3%. What is his monthly

ad-work [718]

Answer:

C. 343.08

Step-by-step explanation:

Convert the tax rate into a decimal and multiply by the house price:

.023(179,000) = 4,117

Divide by 12 (to get monthly rate):

4,117/12 ≈ 343.08

Option C should be the correct answer.

7 0

3 years ago

Determine the slope and point on the line for each equation C. y+ 4 = %(% - 3)

Temka [501]

Bbbbhbjjjjioiiu and his friends were the

5 0

2 years ago

What is the sum of the interior angles of a polygon that has 16 sides

Pachacha [2.7K]

2520
16-2=14x180=2520

7 0

2 years ago

Help please if m1 = 72 then find the value of m3

Dima020 [189]

m<3 =72°

This is because m<1 and m<3 are vertically opposite.

8 0

1 year ago