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
Kobotan [32]
3 years ago
8

50 points to answer this for me

Mathematics
2 answers:
Stolb23 [73]3 years ago
7 0
The correct question is
Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4−x and y = 8-x^-1 intersect are the solutions of the equation 4−x = 8-x^-1<span>.
Part B: Make tables to find the solution to 4−x = </span>8-x^-1<span>. Take the integer values of x between −3 and 3. 
Part C: How can you solve the equation 4−x = </span>8-x^-1 graphically?

Part A.  We have two equations:  y = 4-x   and   y = 8-x^-1
Given two simultaneous equations that are both to be true, then the solution is the points where the lines cross. The intersection is where the two equations are equal. Therefore the solution that works for both equations is when
4-x = 8-x^-1
This is where the two graphs will cross and that is the common point that satisfies both equations.

Part B
see the attached table
the table shows that one of the solutions is in the interval [-1,1]

Part C To solve graphically the equation 4-x = 8-x^-1

We would graph both equations: y = 4-x  and   y = 8-x^-1

The point on the graph where the lines cross is the solution to the system of equations.

using a graph tool

see the attached figure N 2

the solutions are the points

(-4.24,8.24)

(0.24,3.76)




Marizza181 [45]3 years ago
7 0

Part A.  We have two equations:  y = 4-x   and   y = 8-x^-1

Given two simultaneous equations that are both to be true, then the solution is the points where the lines cross. The intersection is where the two equations are equal. Therefore the solution that works for both equations is when

4-x = 8-x^-1

This is where the two graphs will cross and that is the common point that satisfies both equations.

Part B

see the attached table

the table shows that one of the solutions is in the interval [-1,1]

Part C To solve graphically the equation 4-x = 8-x^-1

We would graph both equations: y = 4-x  and   y = 8-x^-1

The point on the graph where the lines cross is the solution to the system of equations.

using a graph tool

see the attached figure N 2

the solutions are the points

(-4.24,8.24) (0.24,3.76)

You might be interested in
A waterfall has a height of 1200 feet. A pebble is thrown upward from the top of the falls with an initial velocity of 24 feet p
Gemiola [76]

Answer: 9.44 seconds

Step-by-step explanation:

A movement equation in the vertical axis is usually written as follows:

p(t) = (-g/2)*t^2 + v0*t + p0

where:

g is the gravitational acceleration, in this case is 32 ft/s^2, then -g/2 = -16ft/s^2

v0 is the initial velocity, in this case, 24 ft/s

p0 is the initial height, in this case, 1200ft

Then, when p(t)  = 0ft will mean that the pebble will hit the ground, then we need to calculate:

p(t) = -16t^2+24t+1200  = 0

and find the value of t, this is a quadratic equation, then we can use the Bhaskara equation to find the two solutions, these are:

t = \frac{-24 +- \sqrt{24^2 - 4*(-16)*1200} }{2*-16} = \frac{-24 +- 278.2}{-32}

Then the two solutions are:

t = (-24  + 278.2)/-32 = -7.94 seconds (we can discard this one, because the negative time is not really defined)

t = (-24 - 278.2)/-32 = 9.44 seconds

Then the pebble needs 9.44 seconds to hit the ground

3 0
3 years ago
1/4m + 3/4m - 3/8(m+1)
sammy [17]
Distribute 3/8 to m and 1 so now the equation should be 1/4m + 3/4m - 3/8m + 3/8

then add 1/4m 3/4 to get m. the equation should now look like m - 3/8m + 3/8

m is 1m but the one is invisible so subtract 3/8 from 1 now the equation should look like 5/8m + 3/8

final answer: 5/8 + 3/8
3 0
4 years ago
Solve for x.<br><br> 5x – 10 &gt; 20 or 5x – 10 ≤ –15
slava [35]
For the one it

X>6


For the second one it’s x ≤ −1
5 0
3 years ago
Simplify x^4 y^2/x^2 y^6<br> a) x^6 y^8<br> b) x^2 y^4<br> c) x^2/y^4<br> d) y^4/x^2
TEA [102]

Answer:

c) x^2 / y^4 is da answer

4 0
3 years ago
If the height and radius of a cylinder are doubled, how will the volume of the cylinder be affected?
Leto [7]
If the height and radius of a cylinder are doubled, the volume of the cylinder will also double or will be higher. This is true because the formula for calculating cylinder’s volume is: V=πr2h; where r is the radius while h is the height. However, as you can see on the formula the radius has more effect than height.
5 0
3 years ago
Other questions:
  • Luis earns a base salary of $150.00 every week with an additional 14% percent commission on everything he sells. Luis sold $6050
    10·1 answer
  • What is the maximum of g(x) = 2 cos(2x − π) + 2
    14·1 answer
  • Simplify: (−3a3b) ⋅ (3a4b3)
    14·1 answer
  • Stacy put a fence around a rectangular flower bed with a length of 18ft and a width of 4.5 ft. Next, he enclosed a square flower
    8·1 answer
  • Find the slope of the line.
    6·2 answers
  • Melissa bought a sweater on sale for $24.95. This is $8.04 less than the price that Christine paid for the same sweater when is
    5·2 answers
  • An item costs $ 360 before tax, and the sales tax is $ 28.80 . Find the sales tax rate. Write your answer as a percentage.
    12·1 answer
  • Mary Kate borrowed $8,000 at a 7% simple interest rate for 3 years. At the end of the three years, how much does she owe in tota
    10·1 answer
  • I need please it would really help me alot !!<br><br><br> no link or zooms
    8·1 answer
  • Monica earns $39 for babysitting for 4 hours. Complete the equation to model the amount of money, y, that she earns for babysitt
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!