How many solutions will the system of equations have? System: y = 2x + 2 and y = x + 4

1 answer:

6 0

Y=-2x+2
y=x2-2x+4

is the value of x such that when you plug it into both equations, they both produce the same value of y, or the value of x such that

-2x+2=x2-2x+4

solving this equation----------> x2=-2, taking square root of both sides gives x= ±√2i, or the system has no real solutions but has 2 complex solutions. If you graph both functions in the xy-plane, where x, y are real numbers, you' ll see they do not intersect, which implies there is no real number solutions.

You might be interested in

A mountain climber ascended 3/4 of a kilometer in 1/12 of an hour. What was the mountain climber’s ascent rate in kilometers per

drek231 [11]

A mountain climber ascended 3/4 of a kilometer in 1/12 of an hour. What was the mountain climber’s ascent rate in kilometers per hour?

Correct Answer: C. 9 Kilometers per hour

7 0

2 years ago

Read 2 more answers

(2^3)^7 (2^-9)^2 how do i put that in exponential form

jok3333 [9.3K]

Answer:

2³ = 8

Step-by-step explanation:

According to the laws of exponents, when raising a power to another power, you need to multiply the exponents. After you multiply each set of exponents by the additional power, then it become a multiplication problem where the base is the same. When multiplying exponents with the same base, you keep the base and add the exponents:

$(2^{3})^{7}*(2^{-9})^{2}=2^{21}*2^{-18}=2^{21+-18}=2^{3}$