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
Andre45 [30]
3 years ago
5

Help!! 10 PTS!!

Mathematics
1 answer:
Sliva [168]3 years ago
6 0

Answer:

x = sqrt(433/64) - 7/8 and x = -sqrt(433/64) - 7/8 So there are two.  Let me know if there's something you don't understand.

Step-by-step explanation:

First you want to get them into the form where just y is on one side.

5-y=x^2+x

-y=x^2+x-5

y = -x^2 - x + 5

y+1 = 3/4x

y = 3/4x - 1

Let me know if you don't get how I did that.

To find where they intersect you just set them equal to each other and solve for x.

-x^2 - x + 5 = 3/4x - 1

Before you go solving you are going to want to avoid multiplying and dividing.  Especially dividing here.  if you divide something by (x-a) you make it so a cannot be used.  take 1 for instance.  graphing 1 is just a horizontal line at y=1.  If you divide it by (x-a) in particular lets say (x-1) if you try and solve for x=1 you get 1/0 and you can't divide by 0.  If you graph it on a calculator or computer you'll see the graph doesn't exist at x=1 either.

So yeah, no multiplying or dividing.  So we turn this into a quadratic.

-x^2 - x + 5 = 3/4x - 1

-x + 5 = x^2 + 3/4x - 1

5 = x^2 + 7/4x - 1

0 = x^2 + 7/4x - 6

There are a few ways to solve but I am going to complete the square.  If you don't understand how to solve it let me know and I will more specifically walk through it.

(x + 7/8)^2 - 433/64 = 0

(x + 7/8)^2 = 433/64

x + 7/8 = +/- sqrt(433/64)

x = +/- sqrt(433/64) - 7/8

So there are two answers here.  Positive sqrt(433/64) - 7/8 and negative sqrt(433/64) - 7/8 Or approximately 1.726 and -3.476 respectively.  To check try plugging these into the original two functions y = -x^2 - x + 5 and y = 3/4x-1 and make sure they give the same answer.

Let me know again if there's something you don't get.  When oing intersections though you set the two equations equal to each other and solve for x however you can.

You might be interested in
How do I figure out1/2(35)(12)
Artemon [7]
You multiply the 3 values. I would first multiply 1/2 x 12, which = 6, then multiply 6 x 35, which = 210
3 0
3 years ago
Classify this triangle by the angles and lengths of sides shown.
Rashid [163]
C all angle measures under 90 degrees
3 0
3 years ago
7 watermelons cost $8.96.Which equation would help determine the cost of the 5 watermelons? Into two fractions with a expontnet
mestny [16]

Answer:

hola CTM

Step-by-step explanation:

4 0
3 years ago
At a rat of 64 kilometers per hour, how far will a car travel in 7 1/2 hours?_______
Snowcat [4.5K]

We use the formula d = s*t where d is distance, s is speed and t is time.

d = 64km*7.5

d = 480km

Therefore, a car would tracel 480 km.

5 0
3 years ago
Read 2 more answers
Emmaline bought a new book for $12 with a coupon for 25% off, how much would it cost without the coupon
Vikentia [17]

Answer:

$16

Step-by-step explanation:

0.75x = 12\\3x = 48\\x = 16

8 0
3 years ago
Read 2 more answers
Other questions:
  • Help Please this is algebra one!!
    9·1 answer
  • Please help me..someone, anyone!? : (
    14·1 answer
  • At what root does the graph of f(x)=(x+4)^6(x+7)^5 cross the x axis?
    11·1 answer
  • Solve (-7/3)x - 3 = -52
    6·1 answer
  • PERGUNTA 1
    8·1 answer
  • What is the probability of getting a sum of 6 when rolling two number cubes? 1/12 1/9 1/6 5/36
    11·2 answers
  • The graph shows the relationship between the distance a truck can travel and the amount of gasoline used.
    8·2 answers
  • On a coordinate plane, kite H I J K with diagonals is shown. Point H is at (negative 3, 1), point I is at (negative 3, 4), point
    5·1 answer
  • Somebody please explain this to me and help me!!!
    13·2 answers
  • Suppose you deposit $2,500 in a savings account that pays interest at an annual rate of 6%. If no money is added or withdrawn fr
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!