1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ElenaW [278]
2 years ago
8

Solve the system of equations: y=2x y=x²-8

Mathematics
1 answer:
igomit [66]2 years ago
6 0
Set equal to each other
x^2 - 8 = 2x
x^2 - 2x - 8 = 0

Factor
(x - 4)(x + 2) = 0
x = 4 or x = -2

Plug in 4
y = 2x or y = x^2 - 8
y = 2(4) or y = 4^2 - 8
y = 8

Plug in -2
y = 2x or y = x^2 - 8
y = 2(-2) or y = (-2)^2 - 8
y = -4

There are two solutions
(4, 8) and (-2, -4)
You might be interested in
What times what equals 22 bit adds/sub to 11
mixer [17]
The only whole numbers that multiply together to equal 22 are 1 x 22, and 2 x 11.
Unfortunately, neither of these pairs add OR subtract to equal 11.
6 0
3 years ago
Fill in the steps to solve the log log base x of (2x)^3=6​
arsen [322]

Answer:

x=2

Step-by-step explanation:

logx (2x)^3 = 6

We can rewrite without the exponent

3 logx (2x) = 6

Divide by 3

3/3 logx (2x) = 6/3

logx (2x) = 2

Raise each side to the base x

x^ logx (2x) =x^ 2

2x = x^2

Subtract 2x from each side

2x-2x = x^2 -2x

0 = x^2 -2x

Factor an x

0 = x(x-2)

Using the zero product property

x =0 x-2 =0

x =0  x=2

We cannot have a base of 0, so x cannot equal 0

x=2

6 0
3 years ago
Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge
madam [21]

Answer:

<h2> (-1,1)</h2>

Step-by-step explanation:

Given system is

\left \{ {{x+y=0} \atop {x-y+2=0}} \right.

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

\left \{ {{x+y=0} \atop {x-y+2=0}} \right.

2x+2=0\\x=\frac{-2}{2}=-1

Then, we replace this value in one equation to find the other value

x+y=0\\-1+y=0\\y=1

Therefore, the solution is (-1,1)

4 0
3 years ago
P- 24/n = 30/100<br><br> What’s N?<br><br> Z- n/4 = 18/72<br><br> What’s N?
Vilka [71]

Answer:

Z: n = 1 P: n =80

Step-by-step explanation:

cross multiple what you can and divide it by the last number left to find n

8 0
3 years ago
URGENT
GrogVix [38]
5/6 of a yard divided by 5 is 1/6 of a yard.

Each piece is 1/6 yards long.
4 0
3 years ago
Other questions:
  • Solve for x in the diagram below (2x+45)
    12·1 answer
  • The problem solving template is a tool which can be used to help solve difficult problems. For this sample work you will use the
    10·1 answer
  • Mr.parker will mix antifreeze and water in a ratio of 2 to 1 he needs 27 quarts of the antifreeze and water mixture to fill his
    8·1 answer
  • Melanie bought 3 adult tickets and 1 children ticket for $38. John bought 3 adult tickets and 2 children tickets for $52. What i
    11·1 answer
  • Which will result in a perfect square trinomial?
    9·1 answer
  • Help please step by step explanation.
    5·1 answer
  • What is the answer of (x + y + 2) (y+1)?
    9·1 answer
  • Which equation represents the graph?​
    12·2 answers
  • Factorize (4y-5)²+80y ​
    9·2 answers
  • Please help! I don’t know how to make the square roots equal to each other but I understand the other steps... kind of.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!