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
noname [10]
3 years ago
5

Solve the following quadratic-linear system of equations. y=x^2-x-6 and y=2x-2

Mathematics
2 answers:
Keith_Richards [23]3 years ago
8 0

You can do substitution 2x-2=x^2 -x -6; isolate all terms on one side 0= x^2 -x-2x -6+2; combine like terms x^2 -3x -4=0; factor the quadratic (x-4)(x+1)=0; each term is zero x-4=0 so x=4 and x+1=0 so x=-1. Now, y=2•4-2=6 and y=2•(-1) -2= -4 ; solutions for the system are ( 4,6) and ( -1, -4)

dimaraw [331]3 years ago
7 0

Answer:

(4,6) or (-1,-4)

Step-by-step explanation:

since both equations about x are equal to y, you can make x^2-x-6=2x-2

solve this quadratic equation, you get x=4 or -1

substitute x into y=2x-2

you get y=6 when x=4, or y= -4 when x=-1

You might be interested in
8 Mineral Hardness Common object Diamond 10 Corundum 9 Topaz Quartz 7 Feldspar 6 Steel file (6.5) Apatite 5 Glass (5.5) Fluorite
adoni [48]

Answer:

feldspar, because it has a higher number then gypsum and apatite, and it can be scratched by quartz because it has a lower number.

5 0
2 years ago
What is the approximate area of a circle with a diameter of 14 inches
Arturiano [62]

Answer:

153.94 in²

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
8 square root 2<br><br>6 square root 18<br><br>14 square root 2<br><br>8 square root 18
True [87]
Work: 5√2 + √18
First you must find the largest perfect square in √18:
The perfect square happens to be 9
√18 => 9√2
You must then simplify 9 since it is a perfect square:
9√2 => 3√2
Then you must add both terms together:
5√2 + 3√2 = 8√2
Answer: 8√2 or 8 square root 2

I hope this helps you!
4 0
3 years ago
Can u give me the answer<br>​
Romashka-Z-Leto [24]

Answer:

rotation

Step-by-step explanation:

all are being roatated. They arent a reflection because the F is changed thus must be rotation.

6 0
3 years ago
The vertices of a hyperbola are located at (−4, 1) and (4, 1). The foci of the same hyperbola are located at (−5, 1) and (5, 1).
topjm [15]

Answer:

x^2\ 16 - y^2/9 = 1

step-by-step explanation:

soooo the equation for a hyperbola that is horizontal is x^2/a^2 - y^2/b^2 = 1

a hyperbola should always equal one so dont forget that when writing your equation becuase it is easy to forget.

it helps to graph this so you can see it better

to find a it is the distance from the center to the vertices which is 4 so in the equation you will write 16 becuase it is a^2

then you need to find b. to get b you have to figure out that c is the distance from the center to the foci which is 5 and it is all related to the plythagorm theorum becuase it forms a right triangle. so you do c^2 - a^2 = b^2

you get 9 for b^2 because 25-16=9 and so you put that in the equation

3 0
3 years ago
Read 2 more answers
Other questions:
  • Nine more than four times a number is the same as one less than twice the number find the number
    13·1 answer
  • Through:(-1,-5), slope=5
    10·1 answer
  • The variables A, B, and C represent polynomials where A = x2, B = 3x + 2, and C = x – 3. What is AB – C2 in simplest form?
    14·1 answer
  • Use the net as an aid to compute the surface area of the triangular prism.
    14·1 answer
  • List two equivalent numbers to 0.50
    6·1 answer
  • It will cost $2 per square foot to plant grass in the park. What will be the total cost, in dollars, of planting the grass?​
    10·1 answer
  • What’s the combined average of Altuve’s weighted average below:
    8·1 answer
  • In XYZ, what is the cosine ratio of X?
    11·2 answers
  • Which of the following functions is NOT a polynomial function?
    13·1 answer
  • Solve for n.
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!