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
Sedaia [141]
3 years ago
12

Find the solutions of the system

Mathematics
1 answer:
kotegsom [21]3 years ago
7 0

Answer:

b. (-3, -4) and (2, 6)

Step-by-step explanation:

By the transitive property of equality, if y equals thing 1 and y also equals thing 2, then thing1 and thing 2 are also equal.  So we will set them equal to each other and factor to solve for the 2 values of x:

2x+2=x^2+3x-4

Get everything on one side of the equals sign, set the whole mess equal to 0, and combine like terms to get:

0=x^2+x-6

Because this is a second degree polynomial, a quadratic to be precise, it has 2 solutions.  We need to find those 2 values of x and then use them in either one of the original equations to solve for the y values that go with each x.  

Factoring that polynomial above gives you the x values of x = -3 and 2.  Sub in -3 first:

y = 2(-3) + 2 and

y = -6 + 2 so

y = -4

Therefore, the coordinate is (-3, -4).

Onto the next x value of 2:

y = 2(2) + 2 and

y = 4 + 2 so

y = 6

Therefore, the coordinate is (2, 6)

You might be interested in
Write an equation in slope-intercept form for the line that satisfies the following condition.passes through (20, 1), parallel t
Dmitrij [34]

Slope-intercept form:  y = mx + b  

(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)

For lines to be parallel, they have to have the same slope.

y = 6x + 6    The slope of this line is 6, so the parallel line's slope is also 6.

Now that you know m = 6, substitute/plug it into the equation:

y = mx + b         Plug in 6 for "m" in the equation  

y = 6x + b     To find "b", plug in the point (20, 1) into the equation

1 = 6(20) + b

1 = 120 + b       Subtract 120 on both sides to get "b" by itself

1 - 120 = 120 - 120 + b

-119 = b         Now that you know b = -119, plug it into the equation

y = 6x - 119

5 0
3 years ago
In the figure below, F is between E and G, and G is between F and H. IF EH=9, FH = 7, and EG=6, find FG.
shutvik [7]

Answer:

EH = 9

FH = 7

EG = 6

EF = EH - FH

EF = 9 -7

EF = 2

FG = EG -EF

FG = 6 -2

FG = 4

Step-by-step explanation:

3 0
3 years ago
Henry had 15 quarters. He gave his sister 4 quarters. How much money does he have now??
telo118 [61]

Answer:

$2.75

Step-by-step explanation:

A quarter's value as placed on it by the U.S. Treasury Department is $0.25, or 1/4 of a dollar.

Henry had 15 quarters, in which he gives his sister 4: 15 - 4 = 11

Henry now has 11 quarters. Multiply 11 with 0.25: 11 x 0.25 = 2.75

Henry has $2.75

~

5 0
3 years ago
Sam has a strip of wood that is 3 4 foot long and 1 6 foot wide. He wants to use the wood to patch a damaged area on his desk. H
MArishka [77]

Answer:

1 / 8

Step-by-step explanation:

I'm assuming that is meant to be 3/4 and 1/6...

Area = Length * Width

A = 3/4 * 1/6

A = 3 / 24

simplify the fraction to get your answer

6 0
3 years ago
Read 2 more answers
1. Erwin hiked 5/7 of a kilometer while
Juli2301 [7.4K]

Answer:

the number of kilometers hiked in all is \frac{29}{21}

Step-by-step explanation:

The computation of the number of kilometers hiked in all is shown below:

= Erwin + Jericho

= \frac{5}{7} + \frac{2}{3}\\\\= \frac{15 + 14}{21}   \\\\= \frac{29}{21}

Hence, the number of kilometers hiked in all is \frac{29}{21}

4 0
3 years ago
Other questions:
  • Could someone help me with number 5 because I suck at perimeters
    14·1 answer
  • Solve x divided by four equals eight . (1 point)<br><br><br> 4<br> −4<br> 32<br> −32
    10·2 answers
  • X-1/x-1=1 what is the answer????
    11·1 answer
  • Please help!
    14·2 answers
  • The absolute volume of a number is its __ from 0
    5·2 answers
  • HELPPP!! ASAP PLZ!!!
    12·1 answer
  • Sophie pays m dollars to rent a car for the weekend on the drive home she buys $45 worth of gasoline her friend melody pays for
    11·1 answer
  • The correct answer is...?
    11·1 answer
  • Pls answer fast!!! HURRY
    7·1 answer
  • There you goo people
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!