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
You are running a concession stand at a basketball game. You are selling hot dogs and sodas. Each hot dog costs $1.50 and each s
irga5000 [103]

The answer is add 35 and 52 and you will get 87 which was supposed to be the amount sold

4 0
3 years ago
What is th e best estimate for 5 1/9 - 1 5/6
valentinak56 [21]
5 1/9 - 5 5/6 is 3.27, if you want it rounded to the nearest whole number then that would by 3

have a nice day :)
3 0
3 years ago
Find the area of the triange below<br><br>units given are cm, cm^2, cm^3​
notsponge [240]

Answer:

A=150\ cm^2

Step-by-step explanation:

The Hypotenuse of triangle, H = 25 cm

Base = 15 cm

Height = 20 cm

We need to find the area of the triangle. The area of a right-angled triangle is given by :

A=\dfrac{1}{2}\times b\times h\\\\A=\dfrac{1}{2}\times 15\times 20\\A=150\ cm^2

So, the area of the triangle is equal to 150\ cm^2.

4 0
3 years ago
Two communication mask 2km apart and directly north and south of each other. Ubi 's home is 500 m from one and directly east. Ho
pochemuha

Answer: 2061.55\ m

Step-by-step explanation:

Given

The two communication mask are 2 km apart

Ubi's home is 500 m east of one of the mask

Suppose its distance from the other's is x

From the figure, we can write

\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km

7 0
3 years ago
A burrito was cut into 6 equal pieces. If Carmen ate 2/6of the burrito, and Chris ate 1/6of the burrito,
sashaice [31]

Answer:

3/6 peices are left

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Use the graph to state the solution for the system.
    11·1 answer
  • Write the equation of the line in point-slope form given the line runs through the points (-1, -3) and (2, 3). ***rewrite in slo
    7·1 answer
  • The table below represents the distance of a train from its destination as a function of time: Time (hours) x Distance (miles) y
    14·1 answer
  • Need helps!!!!!!!!!!!!!
    5·1 answer
  • Nicole wants to celebrate her 15th birthday at the Ice Skating Rink. They charge a $50 flat fee for birthday party rental and $1
    13·2 answers
  • Which diagram represents a correct construction of equilateral triangle ABC, given side AB
    8·1 answer
  • PLZZ Help me algebra 2.
    8·1 answer
  • The system {y=2,y=-3}
    10·1 answer
  • ILL MARK AS BRAINLIEST
    10·1 answer
  • Which statement best describes f(x)=
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!