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I do not understand how to do this problem please help! 6. Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations. The first month they made 1200 and the second month they made 1500... graph a line using the slope-intercept form: Manipulate the equation into slope-intercept form, y = mx + b. Identify and plot the y-intercept of the line. Remember, the y-intercept is b. Don't forget: The sign goes with the number. Identify and use the slope of the line to find a second point. Remember, the slope is m. Don't forget: Starting at the y-intercept, the numerator tells you the rise (count up if positive and down if negative), the denominator tells you the run (count right.) Draw a straight line through the two points to complete the graph. Linear Functions: A linear function is a function that is defined by a linear equation. To write a linear function with function notation, first write it in slope-intercept form, and then replace y with f(x). The graph of a linear function is all points (x, f(x)), where x is in the domain of the function.


Please see the attachment for the detailed answer.
I hope it helps.


Related Questions

Posted in Mathematics

Scarlett is trying to find the height of a dam. She stands 90 meters away from the dam and records the angle of elevation to the top of the dam to be 26º. Scarlett's height is 1.65 meters, so the height of the dam is

Make a drawing with a right triangle.

The opposite side, y, is the height of the dam less 1.65 m

The base or adjacent side is 90 m

The angle between the two sides is 90 m.

Then tan (26) = y / 90

y = 90 tan(26) = 90 (0.4877) = 43.90 m

The height of the dam is 43.90m + 1.65m = 45.55 m

Posted in Mathematics

The binomials shown below will be multiplied to produce a quadratic trinomial. (x + p)(x + q) Which part of the trinomial will equal the sum of p and q? A. The constant term B. The coefficient of the x-term C. The degree D. The coefficient of the x2-term

I believe the correct answer from the choices listed above is option B. The part of the trinomial will equal the sum of p and q would be the coefficient term. We do it as follows:

(x + p)(x + q) 
x^2 + px + 1x +pq
x^2 + (p+q)x + pq

Hope this answers the question. Have a nice day.

Posted in Mathematics

A graph thAt has a finite or limited number of data points is

The correct answer is:


Discrete graph.


Explanation:


A discrete graph is a graph of disconnected points.


Since they are disconnected, this means the graph only has values at the points drawn, not between.


The opposite of a discrete graph is a continuous graph; it is a graph of connected points. Since the points are connected, the graph has values between all of the points. This is similar to what we learned in geometry about a line; a line has an infinite number of points. This is true of the connections between points in a continuous graph.


Since a discrete graph is the opposite of a continuous graph, this means it does not have an infinite number of points; a discrete graph has a finite number of points.

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4. Which of the following sets of numbers is a Pythagorean triple? A. 4, 5, 6 B. 8, 15, 17 C. 5, 12, 14 D. 8, 24, 25 Suppose a triangle has side lengths 6, 7, and 10. Which of the following best describes this triangle? A. obtuse B. acute C. right D. Cannot be determined.

Here are the answers to the given questions above:
4. When we say pythagorean triple, this would consists of three positive integers a, b, and c, such that a2 + b2 = c2. So for the given numbers above, the set that is considered a pythagorean triple would be B.  8, 15, 17.
5. The correct answer for this question would be option D. It cannot be determined whether the triangle is obtuse, acute or right if the given values are the side lengths. It should be angles. Hope this answer helps.

Posted in Mathematics

For f(x)=2x+1 and g(x)=x^2-7, find (f-g)(x)

I hope this helps you



(f-g)(x)=2x+1-(x^2-7)



(f-g)(x)=2x+1-x^2+7


(f-g)(x)= -x^2+2x+8

Posted in Mathematics

A quadratic equation is shown below: 9x2 - 36x + 36 = 0 Part A: Describe the solution(s) to the equation by just determining the discriminant. Show your work. (3 points) Part B: Solve 2x2 - 9x + 7 = 0 using an appropriate method. Show the steps of your work and explain why you chose the method used.(4 points)

For part A:
9x² - 36x + 36 = 0 
9(x² - 4x + 4) = 0 
9(x-2)(x-2) = 0 
Radicand = Discriminant = 36² - 4(9)(36) = 0 
there is 1 real zero that repeats itself)

zero is x=2. 

Use factoring. Factors of 7 are 1 and 7 
2x²-9x+7 = 0

(2x-7)(x-1) = 0 
2x-7 = 0              (x-1)=0 
2x = 7x=1 
x = 7/2 
Your solutions are x = 1 and x = 7/2 

I hope my answers helped you

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Posted in Mathematics

Anastasia uses the equation p = 0.7(rh + b) to estimate the amount of take-home pay, p, for h hours worked at a rate of r dollars per hour and any bonus received, b. What is an equivalent equation solved for h? h = (– b)÷ r h = – b ÷ r h = ÷ r – b h = ÷ r

For the answer to the question above, first we must enlist the given

p = take home pay
r = rate of dollars per hour
h = number of hours worked
b = bonus

So now we can find h and let us start with the formula.

p = 0.7(rh + b)

p = 0.7*r*h + 0.7b

p - 0.7b = 0.7rh

So the answer for this problem is

h = (p-0.7b)/0.7r 

Posted in Mathematics

The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greater integer, which system of inequalities could represent the values of a and b? A. a + b ≥ 30 b ≥ a + 10 B.a + b ≥ 30 b ≤ a – 10 c. a + b ≤ 30 b ≥ a + 10 D. a + b ≤ 30 b ≤ a – 10

I believe the correct answer from the choices listed above is option A.  If b is the greater integer, then the system of inequalities that could represent the values of a and b would be a + b ≥ 30 and b ≥ a + 10. Hope this answers the question. Have a nice day.

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Posted in Mathematics

Jasmine wants to use her savings of $1,128 to buy video games and music CDs. The total price of the music CDs she bought was $72. The video games cost $43 each. What is the maximum number of video games that Jasmine can buy with her savings? 24 25 26 27

For the answer to the question above, she can buy 24 video games

Because she bought a CD on her savings, we must deduce the cost of the CD from her 1,128 savings 
1128 - 72=1056

Then just divide the difference to how much each videogame cost
1056 / 43 = 24

So the answer is she can buy 24 videogames.

Posted in Mathematics

1. Which set of ordered pairs in the form of (x,y) does not represent a function of x? (1 Point) A. (1, 1.5), (2, -1.5), (3, 1.5), (4, 1.5) B. (0, 1.5), (3, 2.5), (1, 3.3), (1, 4.5) C. (1, 1.5), (-1, 1.5), (2, 2.5), (-2, 2.5) D. (1, 1.5), (-1, -1.5), (2, 2.5), (-2, 2.5)

Based on the given set of ordered pairs above, the set of ordered pairs in the form of (x,y) that does not represent a function of x would be option B. Why is this so? if you notice, the number 1 in the x is being repeated so this means this is not a function. Hope this answer helps.

Posted in Mathematics

Which test point holds true for y − 2x ≤ 1? (0, 2) (-2, 4) (1, 4) (5, 0)

So in order to find the correct answer, we can just easily plug in the values to check which ordered pair matches the given inequality above. So based on my solutions, the correct answer would be the last pair. 
 y − 2x ≤ 1
0 - 2(5)
 ≤ 1
0-10  ≤ 1
-10  ≤ 1
Hope this answer helps.

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Posted in Mathematics

A triangle has side lengths measuring 3x cm, 7x cm, and h cm. Which expression describes the possible values of h, in cm? 4x < h < 10x 10x < h < 4x h = 4x h = 10x

Answer with explanation:

In a triangle sum of two sides , should always be greater than the third side.

Sides of the given triangle are, 3 x cm, 7 x cm and h cm.

1.

3 x + 7 x > h

→ 10 x > h

2.

3 x+ h > 7 x

→h > 7 x -3 x

→h> 4 x

3.

7 x + h > 3 x, which will be always true.

Combining 1, 2 and 3 we get

→4 x < h < 10 x

Option A

Posted in Mathematics

Drey makes $10 an hour plus $15 an hour for every hour of overtime. Overtime hours are any hours more than 40 hours for the week. Part A: Create an equation that shows the amount of wages earned, W, for working x hours in a week when there is no overtime. Part B: Create an equation that shows the amount of wages earned, S, for working y hours of overtime. Hint: Remember to include in the equation the amount earned from working 40 hours. Part C: Drey earned $490 in 1 week. How many hours (regular plus overtime) did he work?

For the answer to the question above, let us solve the first for
Part A. $10 x 40 hours= $400 ($10x = W) X= 40 hours a week

Part b. $10 x 40 hours = $400 + $15 x Y=S ($10x=$400 +$15y=S) Y= number of hours overtime. Since he gets $15 for working more than 40 hours you take the number of hours over time and multiply it by 15.

Part c.  Now that he made $490 in 1 week you know that he worked for 40 hours at a rate of $10 an hour. But that's only $400, so we need to figure out 15 times what is equal to 90. 15 times six is equal to 90 which means that Drey worked for 46 hours

Posted in Mathematics

What is f(x) = 2x2 + 28x – 5 written in vertex form?

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. We do as follows:

f(x) = 2x^2 + 28x – 5
f(x) = 2(x^2 + 14x) – 5
f(x) = 2(x^2 + 14x + 49) – 5 - 98
f(x) = 2(x + 7)^2 – 103

Hope this answers the question. Have a nice day.

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Posted in Mathematics

Given f(x)=17-x^2, what is the average rate of change in f(x) over the interval [1, 5]?

For the answer to the question above, I'll show my to solution to the answer below.
average rate of change is 
(f(5) - f(1))/(5 - 1) = 

(17 - 5^2 - (17 - 1^2))/4 = 

(17 - 25 - 17 + 1)/4 = 
So the answer for this problem is
-6
I hope my answer helped you. Feel free to ask for more questions.

Posted in Mathematics

Match Term Definition Line Segment A) a series of points that extend in two directions without end Plane B) two lines that intersect at 90° angles Perpendicular Lines C) lines that lie in the same plane and do not intersect Line D) a flat surface that extends infinitely and has no thickness Parallel Lines E) part of a line that has two endpoints

The correct matches are as follows:

Line Segment 
E) part of a line that has two endpoints

Plane 
D) a flat surface that extends infinitely and has no thickness

Perpendicular Lines 
B) two lines that intersect at 90° angles

Line 
A) a series of points that extend in two directions without end

Parallel Lines 
C) lines that lie in the same plane and do not intersect

Hope this answers the question. Have a nice day.

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Posted in Mathematics

What is the solution to the system of equations? y = 1.5x – 4 y = –x a. (–1.6, 1.6) b. (–1.5, 1.5) c. (1.5, –1.5) d. (1.6, –1.6)

I believe the correct answer from the choices listed above is option D. The solution to the system of equations given above would be (1.6, –1.6). We can use the substitution method to solve this. We do as follows:

-x = 1.5x – 4
4 = 2.5x
x = 1.6
y = -x = -1.6

Posted in Mathematics

A certain forest covers an area of 2,000 square kilometers. Suppose that each year this area decreases by 6%. What is the function that best represents the area of the forest each year and how much area remains after 12 years? Round your answer to the nearest square kilometer. Hint: Use the formula, f(x) = P(1 + r)x

For the answer to the question above, I think the formula you is wrong. The x must be in exponential form. It must look like this

f(x) = P(1 + r)^x
Now we can solve.

Given:
P = 2000
r = -0.06

f(x)  =  2000 (1 - 0.06)^x
       =  2000 (0.94)^x


         
2000 (0.94)¹² = 

2000 (0.476)  = 
The answer is 
951.8 square kilometers.
                   

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What step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment?

Mmk sweetie, if you have a compass and straightedge, you can totally do this! I'm going to try to talk you through this, it's not too hard: 

1. Take your straightedge (like a ruler or the side of a folder or notebook) and draw five lines on a piece of paper, just make sure none of them aren't the exact same size (not too hard.) 

2. Now you want to make segments the same length as your original lines. This is great, because you have a compass, and compasses are great at keeping the length of things! Open your compass and put the pointy end at one side of your first segment. Now open it until the pencil end is at the other end--you now have the length of your first segment (lock your compass, or be really careful with it to make sure it doesn't change how far open it is.) Next, on your new paper, where you're putting the congruent segments, draw a point. Put the pointy end of your compass on the point, then make a small, curved mark with the pencil side. Take your straight edge, and connect your point to any point on that small, curved line. Do this for all 5 of your lines. 

3. Remember that your compass keeps track of how long something is, so in order to figure out which ones are least (shortest) to greatest (longest) just look at how far you had to open your compass. The one where you had to open it very little is your least, and the one where you opened it very widely is your greatest, the others fall in between. 

4. Okay, this part sounds tricky but really is not. Choose what segment you want to double. Once more, put the pointy end at one point on the compass and open it so that the pencil part goes to the other end, lock your compass. Just like you did before, draw a point, put your pointy end of the compass on that point, now instead of making a small mark like you did before, swing your pencil all the way around your point, you will have created a circle with a radius of your original line. Now, take your straightedge and draw a line connecting one side of the circle to the other side, going through your original point--congratulations! You've just doubled your line segment. 

5. Again, this one sounds harder than it is, and there's probably a lot of ways to do it. Here's how I suggest--First, make a copy of your longest segment in the way described in #3, but draw your line lightly. Second, open your compass to the length of your smallest segment. Now instead of drawing a new line, put the pointy end on ONE point of your COPY of your longest segment, and swing to make a mark on the line you just created. Now, connect your mark from your short segment, to the other end of your longest segment, and voila! You've now created a segment equal to the difference between the two. Hope this helped!

Posted in Mathematics

If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets _____ interest rates to find willing buyers.

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
If the equilibrium interest rate in the money market is 5%, then at an interest rate of 2% sellers of interest-bearing financial assets greater than interest rates to find willing buyers.

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Posted in Mathematics

The sum of the angle measures of any triangle is 180 degrees. Suppose that one angle in a triangle has a degree measure of 7x+3 and another has a degree measure of 3x-6 . Write an expression for the degree measure of the third angle in the triangle.

The sum of the angle measures of any triangle is 180 degrees. It should be that a + b + c = 180. For this problem, we are given the two angles which we assume to be a and b so,

180 = 
7x+3 + 3x-6 + c
c = 180 - (
7x+3 + 3x-6) 
c = 180 - (10x - 3)
c = 177 - 10x

Hope this answers the question. Have a nice day.

Posted in Mathematics

Which of the following statements is true of a reflection? -It is an isometry. -It slides a plane. -The transformation is done over a line of reflection. -It flips a plane about a fixed line. I-t changes the size of the figure being reflected.

I think the correct answers from the choices listed above are the first and the fourth option. The statements that are true about a reflection would be that it  is an isometry and the it flips a plane about a fixed line. reflection over a line k (notation rk) is a transformation in which each point of the original figure (pre-image) has an image that is the same distance from line k.

Posted in Mathematics

Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply. + 8r2s4 – 3r3s3 s5 3r4s5 –r4s6 –6rs5

Answer:

Option 2,3 and 4 are correct.

Step-by-step explanation:

To find : Which terms could be used as the first term of the expression below to create a polynomial written in standard form? Check all that apply.

?+8r^2s^4-3r^3s^3

Solution :

The polynomials in standard form is written from higher degree to lower degree i.e. in descending order.

The given polynomial has degree 6: ?+8r^2s^4-3r^3s^3, and it can be ordered respect any of the two variables either r or s.

Adding a new term as first term needs to have degree equal or greater than 6.

1) s^5 cannot use as first term because its degree is less than 6.

2) 3r^4s^5 it can be use as degree is 9.

3r^4s^5+8r^2s^4-3r^3s^3 is the standard form.

3) -r^4s^6 it can be use as degree is 10.

-r^4s^6+8r^2s^4-3r^3s^3 is the standard form.

4) -6rs^5 it can be use as degree is 6.

-6rs^5+8r^2s^4-3r^3s^3 is the standard form.

Therefore, Option 2,3 and 4 are correct.

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The product of a + 3 and –2a2 + 15a + 6 is –2a3 + xa2 + 51a + 18. What is the value of x? a. 3 b. 9 c. 12 d. 15

9

Further explanation

Given:

The product of \boxed{ \ a + 3 \ and \ -2a^2 + 15a + 6 \ is \ -2a^3 + xa^2 + 51a + 18. \ }

Question:

What is the value of x?

Problem solving:

We will solve the case about the distributive property of multiplication.

Let's rewrite and arrange the multiplication equation as follows.

\boxed{ \ (a + 3)(-2a^2 + 15a + 6) = -2a^3 + xa^2 + 51a + 18. \ }

Work out the multiplication of terms carefully.

\boxed{ \ a(-2a^2 + 15a + 6) + 3(-2a^2 + 15a + 6) = -2a^3 + xa^2 + 51a + 18. \ }

\boxed{ \ -2a^3 + 15a^2 + 6a -6a^2 + 45a + 18 = -2a^3 + xa^2 + 51a + 18. \ }

\boxed{ \ -2a^3 + 9a^2 + 51a + 18 = -2a^3 + xa^2 + 51a + 18. \ }

Note the coefficient of the term a² on the left-hand side. Let us equate with a similar term on the right side.

\boxed{ \ 9a^2 = xa^2 \ }

Let us cross out a².

Hence, the value of x is 9.

Learn more

  1. Factoring methods brainly.com/question/2568692
  2. Changing the subject in a formula brainly.com/question/291105
  3. All the steps to get R as a subject  brainly.com/question/4703807#

Keywords: the product, the value of x, the distributive property of multiplication, the coefficient of the term a²

Posted in Mathematics

Which ordered pair is a solution of the equation 2x − y = 9 (-4,1) (-2,5) (5,1) (6,-3)

In order to confirm if which ordered pair is a solution of the given equation above, we can just simply plug in the values.
So based on my solution, the correct answer would be the third option: (5,1) 
So let us try to plug in the values.
2(5) - 1 = 9
10 -1 = 9
9 = 9
So this is the correct one. Hope this answers your question.

Posted in Mathematics

What is the range of the function f(x) = 3x2 + 6x – 9

I have a solution here however with a slight change in the equation:

 f(x)=3x^2-6x+1

My solution is:

The domain is all real numbers--there are no restrictions like a square root or variable in the denominator 

this is a U shape parabola and you want to find the bottom point, it is at the vertex 

x=-b/2a =- (-6) /2 (3) =1 
f(1) =3(1)^2 -6(1) +1 =3-6+1 =-2 
the minimum is (1, -2) 
so the range is all real numbers >= -2

By examining my solution, you could just answer the problem on your own! I hope it helps!

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