Which inequality's graph will have a dashed boundary line?a x + 7y > 3

b 7x + y ≤ 3

c 6x − 5y ≥ 4

d y − x ≤ 3

Answers

Answer 1

Answer: dashed lines are having < or >

answer is A

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A professor determined the relationship between the time spent studying (in hours) and performance on an exam. Performance = 70.443 + 4.885 * (time) Ann studied 2.6 hours for the last exam. However there was a concert in town the night before and her score was 16 points lower than expected. What was her score on this exam, rounded to the nearest integer?
10 over 7 x 3 over 8
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Maria is comparing the prices of two window cleaning companies. Company A charges $6 per window and an additional $12 as service charges. Company B charges $5 per window and an additional $15 as service charges. Part A: Write equations to represent Company A's and Company B's total charges for cleaning a certain number of windows. Define the variable used in the equations. (4 points) Part B: Which company would charge less for cleaning 8 windows? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company B instead of Company A to clean 6 windows? (3 points) (10 points)

Answers

Answer:

Part A:

Let 'x' be the number of windows cleaned.

Let 'y' be the total cost of cleaning 'x' windows.

Company A charges $6 per window and an additional $12 as service charges. So equation becomes $y=6x+12$

Company B charges $5 per window and an additional $15 as service charges. So equation becomes $y=5x+15$

Part B :

Cost for cleaning 8 windows.

Company A = $y=6(8)+12$ =$60

Company B = $y=5(8)+15$ =$55

Company B charges less for 8 windows.

Part C:

Cost for cleaning 6 windows.

Company A = $y=6(6)+12$ =$48

Company B = $y=5(6)+15$ =$45

Money saved by using company B is $48-45=3$ dollars.

Part A Answer: Company A: (Wx6)+12 Company B: (Wx5)+15The varible used was W because windows start with a W i chose this as the variable because it is for the certain NUMBER of windows.Part B:Company A: 8x6=48+12=$70 for 8 windows and service charges.Company B:8x5=40+15=$55 for 8 windows and service charges.Company B would charge less for 8 windows.Part C:My work for Company A: 6x6=36+12=$48 for 6 windows and service chargesMy work for Company B: 6x5=30+15=$45 for 6 windows + service charges$48-$45=$3Answer for Part C: $3 would be saved by using the services of Company B instead if Company A to clean 6 windows.

The function f(x) = −x^2 + 48x − 432 models the profit, in dollars, a game developer makes for selling a new game, where x is the number of games sold and f(x) is the amount of profit.Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)

Part B: Determine the x-intercepts. What do these values mean in the context of the problem?

Answers

f(x) = −x^2 + 48x − 432

Part A

Find the zeros:

−x^2 + 48x − 432 = 0

x^2 - 48x + 432 = 0

Factor

(x - 36 ) (x - 12 )=0

Two solutions: x = 36 and x = 12

The vertex is in x = (36 +12 )/ 2 = 24

f(24) = -(24)^2 + 48(24) − 432 = 144

The vertex is (24, 144).

Given that the coefficient of x^2 is negative, the parabole opens downward, that mean that the vertex is a maximum value.

In the context of the problem that means that the maximum profit is 144 and is obtainded when the number of games sold is 24.

Part B.

The x-intercepts are the values of x when y=0. Which we calculated above.

They are x = 24 and x = 36.

Those values are the number of games for which the profit is zero.

Can someone help me on this im confused..
-3x-10=32

Answers

Answer:

x = -14

Step-by-step explanation:

First, you will add 10 to both sides, to get -3x=42, so basicallly you are just simplifying it. Then, you will divide both sides by -3, so you can get x by itself, which you would then be left with x=-14. A little extra information, when you divide a positive number by a negative number it will result in a negative number, hence how I got -14. I hope this helps :)

Given the function(x)=5x+4, find its inverse

Answers

the inverse is the reflection across the identiy line, the y=x line basically switch x and y and solve for y f(x)=5x+4 y=5x+4 swtich x=5y+4 solve for y x-4=5y (x-4)/5=y finverse=(x-4)/5

Make the function, f (x) into y. Then switch the variables y and x and solve for y : (x-4)/5

Latoya performs an experiment using the lab equipment shown.Which two properties is Latoya most likely measuring?

mass and volume

volume and temperature

temperature and length

length and mass

Answers

Answer

B volume and temp

Step-by-step explanation:

The cup is telling you the volume in the cup and the temp stick thing is telling you temp. Hope this helped

Answer:

Step-by-step explanation:

The number of chips of different colors in Amy's bag is shown below: 8 blue chips 9 pink chips 1 white chip Amy takes out a chip from the bag randomly without looking. She replaces the chip and then takes out another chip from the bag. What is the probability that Amy takes out a pink chip in both draws?

Answers

probability of an event happening = number of ways it can happen
total number of outcomes

Given:
blue chips = 8
pink chips = 9
white chips=1
total = 18

1st draw:
pink chip = 9/18 = 1/2

2nd draw:
pink chip = 9/18 = 1/2

Answer:

81/324

Step-by-step explanation:

9/18 * 9/18 = 81/324

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Y-6 = 4(x + 10)This linear function is written in point-slope form. Whatis the given point (*1, y1)?

Divide: x^10/x^4. thank you very much