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
Vsevolod [243]
3 years ago
8

Identify the domain and range of each function.

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
6 0
Answer: domain is going up and down and range is going across I hope this helps
You might be interested in
An equiangular triangle has one angle of measure 2x+8. What is x?
lina2011 [118]

Answer:

x=26\\

Step-by-step explanation:

The sum of the interior angles of a triangle add up to 180^{\circ}. Therefore, an equiangular triangle will have each of its angles equal to 60^{\circ}}. We can then set up the following equation:

2x+8=60, \\2x=52, \\x=\fbox{$26$}.

3 0
3 years ago
Read 2 more answers
What is the equation of a line that has a slope of m = -4 and passes through the point (7, 6)
Nikolay [14]
Since the slope is -4 and it is passing through (7,6) so the  point slope form of equation can be applied. y-6= -4(x-7)
6 0
3 years ago
George Johnson recently inherited a large sum of money; he wants to use a portion of this money to set up a trust fund for his t
nikdorinn [45]

Answer:

a. B+S = 1

0.06B+0.1S \geq 0.075

B \geq 0.3

Objective function:

R=0.06B+0.1S

b) See Attached picture

30% in bonds and 70% in stocks

Step-by-step explanation:

a.

In order to solve the first part of the problem we need to take into account that the problem wants us to determine the percentage that should be allocated to each of the possible investment alternatives. In that case, the sum of the percentages must be equal to 1 (which means that we will have 100 of the trust fund)

so that gives us our first restriction for the problem.

B+S=1

Next, the problem tells us that the projected returns over the life of the investments are 6% for the bond fund and 10% for the stock fund. It also states that he wants to select a mix that will enable him to obtain a total return of at least 7.5%, so we can take this information and get the second restriction from it:

0.06B+0.1S \geq 0.075

Next, the problem tells us that whatever portion of the inheritance he finally decides to commit to the trust fund, he wants to invest at least 30% of that amount in the bond fund, so that's where the last restriction comes from:

B \geq 0.3

now, the idea is to optimize the investment, this is get the greatest amount of money out of the trust fund, so the objective function is:

R=0.06B+0.1S

which represents the return on the investment.

b)

For part b we can start by graphing each of the restrictions:

B+S = 1

This will be a single line, you can draw the line by setting B=0 first so you get:

0+S=1

S=1

So the first point to plot will be (0,1)

next, we can set s=0 to get:

B+0=1

B=1

so the second point to plot will be (1,0)

so you can plot the two points and connect them with a straight line. This is the green line on the uploaded graph.

Next we can graph the second restriction:

0.06B+0.1S \geq 0.075

we can use the same procedure we used for the previous graph, in this case the points would be:

(0 , 0.75) and (1.25, 0)

and again connect the two points with a straight line. Next we need to decide which region of the graph to shade for which we can pick two arbitrary points on each side of the line, for example we can pick:

(0,0) and (2,2) and see which one makes the inequality true:

for (0,0) we get:

0.06B+0.1S \geq 0.075

0.06(0)+0.1(0) \geq 0.075

0 \geq 0.075

Which is false, therefore we need to shade the other region of the graph:

for (2,2) we get:

0.06B+0.1S \geq 0.075

0.06(2)+0.1(2) \geq 0.075

0.32 \geq 0.075

Which is true, so we shade the region of the graph that contains that point. (see red graph)

now we graph the third restriction:

B \geq 0.3

In order to graph this third restriction we just need to draw a vertical line at B=0.3 and shade everything to the right of that line. (Blue graph)

Now, we can analyze the graph, in this case we need to locate the points where the green line crosses the red and the blue line which gives us the following coordinates:

(0.3, 0.7) and (0.625, 0.375)

these two points can be found by setting the first restriction equal to each of the other two restrictions if you are to do it algebraically. If you are using a graphing device, you can directly read them from the graphs.

So once we got those points, we can see which one gives us the greatest percentage of return.

let's test the first point (0.3, 0.7)

R=0.06B+0.1S

R=0.06(0.3)+0.1(0.7)

R=0.088

so this distribution gives us 8.8% in return, let's test the second point:

(0.625, 0.375)

R=0.06B+0.1S

R=0.06(0.625)+0.1(0.375)

R=0.075

so this distribution gives us 7.5% in return.

In this case the best distribution for us is 30% in bonds and 70% in the stock fund to get a return of 8.8%

6 0
3 years ago
Given m \| nm∥n, find the value of x.
Alex Ar [27]

Answer:

x=32

Step-by-step explanation:

If you do 2x-16+4x+4=180, then you should get 32.

8 0
3 years ago
Figure T is similar to figure W which answer is closest to the length of side XY
beks73 [17]
As they are similar triangles, one is simply going to be bigger than the other, meaning that if triangle T’s side QS is = 9 and triangle W’s corresponding side ZX is =6.5. When dividing 9 by 6.5, it is obvious that triangle W is 0.72 smaller than triangle T. All you then have to do to calculate length of side XY is times side QR on triangle T -cause it’s the corresponding side of these two triangles- by 0.72, and you’ll have your answer of XY= 8.125 :)
8 0
2 years ago
Other questions:
  • 25 POINTS!<br> Which equation is equivalent to (1/3)=27^x^+^2
    5·2 answers
  • Jim works mowing lawns and babysitting. He earns $9.40 an hour for mowing and $7.70 an hour for babysitting. How much will he ea
    12·1 answer
  • Martina is currently 16 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. Use this information to
    13·2 answers
  • Please help asap!!!!!! quadratic functions 50 points
    12·1 answer
  • Y=x+7<br> y=3x+5<br> i need it asap !
    13·1 answer
  • What is the equation of a circle whose center is at the origin and contains the point (2, 3).?
    14·1 answer
  • Graph the function with the given domain. Then identify the range of the function. y = -6; domain: x ≥ 5
    9·2 answers
  • Please help fast!!!!
    9·1 answer
  • Please help solve correctly. NO links or files. Correct answers only if not report. I will even give an additional 10 if correct
    12·1 answer
  • F(x)=2x^2-x-6 g(x)=4-x (f+g)(x)
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!