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
mamaluj [8]
3 years ago
7

Solve the system of equations. y= x2 - 6 y=-2x + 9

Mathematics
1 answer:
Bingel [31]3 years ago
7 0

Answer:

(3,3)

(-5,19)

Step-by-step explanation:

y= x^2 - 6

y=-2x + 9

Set the two equations equal to each other y=y

x^2 - 6  =-2x + 9

Add 2x to each side

x^2 +2x- 6  =-2x+2x + 9

x^2 +2x- 6  = 9

Subtract 9 from each side

x^2 +2x- 6-9  =9- 9

x^2 +2x- 15 =0

Factor the left hand side

What 2 numbers multiply to -15 and add to 2

-3 *5 = -15

-3+5 = 2

(x-3) (x+5) =0

Using the zero product property

x-3 =0        x+5 =0

x=3             x=-5

Now we find y for each x

x=3

y=-2(3) + 9 = -6+9 =3

(3,3)

x=-5

y=-2(-5) + 9 = 10+9 =19

(-5,19)

You might be interested in
What is the rate of change of the linear function that passes through the points (1, 0) and (0, -3)
melisa1 [442]

Answer:

3

Step-by-step explanation:

To find the rate of change we:  divide the change in y (output) by the change in x (input).

A = (-3 - 0) / (0 - 1) = -3 / -1 = 3

:)

6 0
3 years ago
What is the y-intercept and slope of 0=1-2y+14x? :)
____ [38]

\bf 0=1-2y+14x\implies 2y=1+14x\implies 2y = 14x+1\implies y = \cfrac{14x+1}{2} \\\\\\ y = \cfrac{14x}{2}+\cfrac{1}{2}\implies y = \stackrel{\stackrel{m}{\downarrow }}{7} x+\cfrac{1}{2}\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

6 0
4 years ago
Please help me with this I neeeeed help
Flauer [41]
To find the mean just add all the numbers together then divide them by how many numbers there are.

To find the median you have to rewrite the list in numerical order then pick out the middle one which will be your answer

The mode is the number that is repeated more often than the others

For range pick out the largest and smallest number in the group and subtract those, the value you get will be the range :) Hope this helped
5 0
3 years ago
Read 2 more answers
Question 12 plz help
harkovskaia [24]

Answer:

See the attachment for the appropriate choice.

Step-by-step explanation:

Both equations are in slope-intercept form. Both have a y-intercept of -2, so only a graph where the lines cross at (x, y) = (0, -2) is a viable choice.

In both cases, the inequality requires that values of y be "less than (or equal to)" those described by the line. Hence, the shading will be below both lines.

8 0
3 years ago
Stacy earns $15 each week plus $.50 for each customer on her paper route. She wants to earn at least $25 each week. What equatio
Airida [17]

Answer:  .50x+15=25  

I hope this helps.

6 0
3 years ago
Other questions:
  • What is the value of 3/4 divided by 2 1/2?
    10·2 answers
  • 9e + 4 = -5e + 14 + 13e
    14·2 answers
  • The three sides of a triangle are in the ratio 2:4:5. if the shortest side of the triangle is 4 meters long, find the perimeter.
    5·1 answer
  • Read the sentence: _____ car is that in the parking lot? Which interrogative pronoun best completes the sentence? A.Whose B.Who'
    6·2 answers
  • 5/7 = p + 4/7<br> p =<br> Solve the equation.
    15·1 answer
  • Please please answer this correctly I have to finish this today as soon as possible
    11·1 answer
  • HELPPP MEEE ASAP PLEASE HELP
    10·2 answers
  • I want the answer fast plz
    12·1 answer
  • A box contains orange balls and green balls. The number of green balls is seven more than three times the number of orange balls
    13·2 answers
  • A hose fills a hot tub at a rate of 2.95 gallons per minute. How many hours will it take to fill a 256-gallon hot tub?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!