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# A student received a coupon for 17% off the total purchase price at a clothing store. let b be the original price of the purchase. use the expression b - 0.17b for the new price of the purchase. write an equivalent expression by combining like terms.

The expression could be 0.83(x).

## Related Questions

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

You are buying potato chips at the grocery store. You have a manufacturers coupon for a \$1.00 off and the store is offering 20% off if you buy 2 bags. You decide to buy 2 bags of potato chips. How do you compute your final cost? A. Subtract \$1.00 off each bag and then multiply by .20 B. Multiply each bag by .20, subtract \$1.00 off of each bag, and then add them together. C. Add the two bags together, multiply by .80, and then subtract \$1.00. D. Subtract \$1.00 from the first bag, then add them together, and then multiply by .80.

The correct option is:   C.  Add the two bags together, multiply by .80, and then subtract \$1.00.

Step-by-step explanation:

First you need to add the prices of two bags for getting the total sales price.

Now, the store is offering 20% off, that means you need to pay 80% of the total sales price. For finding the amount, we need to multiply the total sales price by 0.80

Then, you have a manufacturers coupon for a \$1.00 off. So, for fining the final price, you need to subtract that \$1.00 from the last result.

Thus, the correct option will be......

C. Add the two bags together, multiply by .80, and then subtract \$1.00.

Posted in Mathematics

If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial. true or false

The Factor theorem states that  for any polynomial f(x) if f(c)=0 then x-c is a factor of the polynomial f(x).

If any polynomial f(x) is divided by x-a and remainder is 0 that means f(a)= 0 .In other words we can say x-a is a factor of the polynomial f(x).So the statement :If a polynomial is divided by (x-a) and the remainder equals zero then (x -a) is a factor of the polynomial is True.

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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

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

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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

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.

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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

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

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

What 2-dimensional shape can be rotated about the y-axis to create a cylinder which has a smaller diameter than height?

Based on the given description above, the two dimensional shape that can be rotated about the y-axis to create a cylinder which has a smaller diameter than the height would be a rectangle. Hope this is the answer that you are looking for.

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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

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!

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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.

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.

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.

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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

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.

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: , 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) cannot use as first term because its degree is less than 6.

2) it can be use as degree is 9.

is the standard form.

3) it can be use as degree is 10.

is the standard form.

4) it can be use as degree is 6.

is the standard form.

Therefore, Option 2,3 and 4 are correct.

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

Posted in Mathematics

Which of the binomial is a factor of this trinomial x2-7x-44?

I hope this helps you

x^2-7x-44

x -11

x +4

(x-11)(x+4)

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Posted in Mathematics

What is another way to write 250,000 ml?

Another way to write it would be 250 liters.

hope this helps you

Posted in Mathematics

The y-coordinate of the y-intercept is the _____ term in the equation of the line.

For the answer to the missing term in the question above, the question is as simple as its answer. The right answer is constant.
I hope my answer helped you. Feel free to ask more questions. Have a nice day!

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The price of a cup of coffee was \$2.65 yesterday. today, the price fell to \$2.50 . find the percentage decrease. round your answer to the nearest tenth of a percent.

We must find the difference between prices. \$2.65 - \$2.50 = \$0.15. Now we need to calculate what percent \$0.15 is of \$2.65. It is 5.7%! The price decreased, so it is a 5.7% decrease!

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Posted in Mathematics

Which CANNOT be used in a proof? A. Theorems B.Postulates C.Properties D.Undefined Terms

The best and most correct answer among the choices provided by the first question is the fourth choice or letter D.

Undefined terms cannot be used as a proof in mathematics.

I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

Identify the expression as a numerical expression or a variable expression. For a variable expression, name the variable. 1 × 12 A. numerical expression B. variable expression; a is the variable. C. variable expression; there is no variable. D. variable expression; l is the variable.

The best and most correct answer among the choices provided by the first question is the first choice or letter A.

The expression above is an example of a numerical expression.

I hope my answer has come to your help. God bless and have a nice day ahead!

Posted in Mathematics

How to solve this problem 14-6= 10-6=?

I really don't think you wrote the question properly. Or maybe you did, but this question doesn't make any sense! :/