Kyahjadevalencia Kyahjadevalencia
  • 18-04-2019
  • Mathematics
contestada

How many solutions does the system have?
Y=4x+4
Y=x^2+4

Respuesta :

hanvoldj
hanvoldj hanvoldj
  • 18-04-2019

Answer:

2 solutions  (0, 4) and (4, 20)

Step-by-step explanation:

you can solve by substitution

y=4x+4 and y=x²+4 so you can say that

4x+4=x²+4

subtract (4x+4) from both sides to get an equation that equals 0

0=x²-4x    (the 4 cancels itself out, 4-4)

simplify, solve for x

0=x(x-4)

set each part =0 and solve

x=0  x-4=0

so x=0 and x=4

plug each solution back into one of the equations

y=4(0)+4

y=4

(0, 4) is one solution

y=4(4)+4

y=20

(4, 20) is another solution

so you have 2 solutions, (0, 4) and (4, 20)

Answer Link

Otras preguntas

In your every day life you come across a range of motion in which ,a) Acceleration is in the direction of motion b) Acceleration is against the direction of mot
What are the three main functions of the nervous system give an explain of each
Please help me When buying a new car, you have a choice of 4 different models, 3 different colors, and either compact or family size. How many choices are ther
What do snakes and giraffes have in common? (key shared characteristics)
wie gehts is dir? alles klar?
A retailer buys a radio from the wholesaler for $75.00. He then marks up the price by 1/3 and sells it at a discount of 20 %. What was his profit on the radio (t
How to factor: b^2-6b+8
Do you think that Africa was better off a result of European colonization?
How to factor: k^2-13k+40
Given the function g(x)=x^2+6x+4. Find the mínimum valué of the g(x)