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
Oksanka [162]
3 years ago
15

1) Solve the following system of equations algebraically. Give your solution as two

Mathematics
1 answer:
Bad White [126]3 years ago
8 0

For this case we have the following system of equations:

y = x ^ 2 + 7x + 12\\y = 2x + 8

Equating both equations we have:

x ^ 2 + 7x + 12 = 2x + 8\\x ^ 2 + 7x-2x + 12-8 = 0\\x ^ 2 + 5x + 4 = 0

We must find the solutions, for this we factor. We look for two numbers that, when multiplied, result in 4 and when added, result in 5. These numbers are 4 and 1:

4 + 1 = 5\\4 * 1 = 4

Then, the factorized equation is of the form:

(x + 4) (x + 1) = 0

Thus, the solutions are:

x_ {1} = - 4\\x_ {2} = - 1

We look for solutions for the variable "y":

y_ {1} = 2 (-4) + 8 = -8 + 8 = 0\\y_ {2} = 2 (-1) + 8 = -2 + 8 = 6

Thus, the system solutions are given by:(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

ANswer:

(x_ {1}, y_ {1}): (- 4,0)\\(x_ {2}, y_ {2}): (- 1,6)

You might be interested in
HELP PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
aleksandrvk [35]

50km to 80km is 30km

10c to -80c is -90c

and since it linear (Which means the change is constant or the same)

every 10 km show a -30c decrease

so

60 km is -20c

70km is -50c


answer is c

5 0
3 years ago
Mark is in training for a bicycle race. He needs to ride 50 kilometers a week as part of his training. He rode 18.23 kilometers
kirill115 [55]

the answer is B-about 18km


7 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%205x%20-%206" id="TexFormula1" title=" {x}^{2} + 5x - 6" alt="
Ymorist [56]

Answer:

(x+6)(x-1)

Step-by-step explanation:

factor using the x-box method

7 0
3 years ago
Read 2 more answers
Pls help easy i thinkk
soldi70 [24.7K]

Answer:

1 1/2 miles

Step-by-step explanation:

if running 1 lap around a track is 1/2 miles then all we have to do is add it up

so we know that 1/2 miles is one lap

so if he runs two laps we would have run 1 mile

now that we know that he would have ran 1 mile in 2 laps then all we have to do it just add 1 more 1/2 mile in which would give u the answer of 1 1/2 miles or 1.5 miles

4 0
2 years ago
Read 2 more answers
Multiply and show all steps please!!
Mazyrski [523]

the answer is 80 take the positive and negative and use the sign change rule

5 0
3 years ago
Read 2 more answers
Other questions:
  • Wat is the position of 7 in the number 876,543
    11·2 answers
  • 198.16 in word form pls help
    14·1 answer
  • What is the solution to this system of equations x-3y=-2 x+3y=16
    10·1 answer
  • HELPPP !!!
    11·1 answer
  • Y=1/4x interpret the slope
    12·1 answer
  • 2<br> Solve the equation 3x +125 = 49
    6·1 answer
  • Which best describes the triangle
    6·2 answers
  • HELPPPP DUE SOOON ILL GIVE BRAINLESS PLS HELPPP
    8·1 answer
  • In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Oliv
    10·1 answer
  • What is the exact length of the missing side of the triangle if the legs are 12 cm and 13 cm?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!