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
BigorU [14]
3 years ago
9

he first three steps in determining the solution set of the system of equations, y = –x2 – 2x + 8 and y = 2x + 11, algebraically

are shown in the table. Which represents the solution(s) of this system of equations?
Mathematics
2 answers:
frutty [35]3 years ago
8 0

Question:

Which represents the solution(s) of this system of equations?

Answer:

(-3,-1)

ivann1987 [24]3 years ago
5 0

Answer:

The solutions are -3 and -1

Step-by-step explanation:

∵ y = -x² - 2x + 8

∵ y = 2x + 11

∴ -x² - 2x + 8 = 2x + 11

∴ -x² - 2x - 2x + 8 - 11 = 0

∴ -x² - 4x - 3 = 0 ⇒ divide both sides by -1

∴ x² + 4x + 3 = 0

∴ (x + 3)(x + 1) = 0

∴ x + 3 = 0 ⇒ x = -3

∴ x + 1 = 0 ⇒ x = -1

∴ The solutions are -3 and -1

You might be interested in
Jana ran the first 312 miles of a 5-mile race in 13 hours. What was her average rate, in miles per hour, for this first part of
MrRa [10]

Answer:

speed = distance / time

Jana's speed is

  speed = (3.5 mi)/(1/3 h) = 3*3.5 mi/h = 10.5 mi/h

8 0
3 years ago
A rectangular poster is 1/2 yard long and 3/4 yard tall. john says the area of the poster is 5/4 square yards. What is Johns mis
alina1380 [7]
Answer can't be in improper fraction
5 0
3 years ago
ASAP PLEASE:
tester [92]
Is think it is RS=DF
8 0
4 years ago
Read 2 more answers
Determine the values of a for which the following system of linear equations has no solutions, a unique solution, or infinitely
navik [9.2K]

Answer:

Never

Never

Never

Step-by-step explanation:

The equations given are

2x1−6x2−4x3 = 6 ....... (1)

−x1+ax2+4x3 = −1 ........(2)

2x1−5x2−2x3 = 9 ..........(3)

the values of a for which the system of linear equations has no solutions

Let first add equation 1 and 2. Also equation 2 and 3. This will result to

X1 + (a X2 - 6X2) - 0 = 5

And

X1 + (aX2-5X2) + 2X3 = 8

Since X2 and X3 can't be cancelled out, we conclude that the value of a is never.

a unique solution,

Let first add equation 1 and 2. Also equation 2 and 3. This will result to

X1 + (a X2 - 6X2) - 0 = 5

And

X1 + (aX2-5X2) + 2X3 = 8

The value of a = never

infinitely many solutions. 

Divide equation 1 by 2 we will get

X1 - 3X2 - 2X3 =3

Add the above equation with equation 3. This will result to

3X1 - 8X2 - 4X3 = 12

Everything ought to be the same. Since they're not.

Value of a = never.

4 0
4 years ago
When you use the slope formula, does it matter what point you choose as (x1 , y1) and what point you choose as (x2, y2)? Explain
alina1380 [7]

Answer:

No, it doesn't matter which point is (x1, y1), and (x2, y2), because you will still end up with the same answer when solved. Also, the slope is the change in the y-values over the change of the x-values.

5 0
3 years ago
Read 2 more answers
Other questions:
  • The value of a bicycle was recorded over a period of five years. Based on how the plot of the residuals
    6·1 answer
  • Jane deposited $10,000 into her bank account in December, 2011. Her account earns interest at a rate of 3% compounded monthly. H
    15·1 answer
  • When addressing an envelope for delivery in the United States or Canada, the zip code should appear
    8·1 answer
  • Percent decrease from 64 to 21 round to the nearest percent<br><br> Thx :))
    12·1 answer
  • What's is the quotient of 2.56 = 0.4?
    14·2 answers
  • Regarding Linear questions
    12·2 answers
  • explain how the cartons and boxes for table tennis balls are like the digits 4 numbers in our base 10 number system
    10·2 answers
  • What is the next step in completing this construction?
    13·2 answers
  • Ava’s gross pay is $2,500 per month. Her deductions include the following: Federal income tax $290 State income tax $85 Social S
    6·1 answer
  • Which set of numbers below DO NOT make a triangle?<br> 0 7,7,7<br> O 6,3,3<br> 0 3,4,5<br> O 5, 11,7
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!