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Elza [17]
3 years ago
12

What is the constant of variation for the quadratic variation? x=2,3,4,5,6 y= 32,72,128,200,288

Mathematics
1 answer:
Bad White [126]3 years ago
7 0
Hello,
y=a*x² ==>
32=a*2²==>a=32/4=8
72=a*3²==>a=72/9=8
128=a*4²==>a=128/16=8
200=a*5²==>a=200/25=8
288=a*6²==>a=288/36=8

Answer A: 8

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Please help me answer this, I don't get what I'm supposed to do TvT
kompoz [17]

Answer:

You save 86 cents per pound.

Step-by-step explanation:

According to the given problem, grocery store B charges chicken 5 pounds of chicken for $38.20. Consider finding the unit price:

To find the unit price of any item, do the following calculation:

Total Price / Total amount = $$$ per amount.

The unit price of store b is \frac{38.20}{5}=7.64 . In other words, every pound of chicken costs $7.64 at store b.

For store a, we are provided with a table. Given how the question is being asked, we should <u>expect a higher unit price</u>. We can take any charge to find the unit price since the price should be consistent no matter how many pounds you buy. I will calculate the first row:

\frac{12.75}{1.5}=8.5

In other words, every pound of chicken costs $8.50 at store a. <u>This price is higher</u>. You can verify this is the correct unit price by multiplying the unit price with any amount of pounds provided at the table. You should get the total cost.

So, now that we have both unit prices, we can calculate the difference to find out how much we save per pound when choosing store b:

8.50-7.64=0.86.

6 0
3 years ago
Charlene is a video game designer and wants to make sure that her games can be played on all types of screens. In order for the
Nikitich [7]

Answer:

The playable area has a width of 9 inches and a height of 6 inches.

Step-by-step explanation:

There are a number of ways you can get there.

1. Check the answers to see which have the right area and aspect ratio.

A: area = 24 in² — does not match 54 in²

B: area = 54 in², aspect ratio 6:9 = 2:3 — does not match 3:2 aspect ratio

C: area = 54 in², aspect ratio 9:6 = 3:2 — matches problem statement

D: area = 121.5 in² — does not match 54 in²

2. If the screen were 3:2 (inches), its area would be 6 in². The area of 54 in² is 9 times that value, so the actual screen dimensions are √9 = 3 times 3:2. That is, they are width:height = 9:6 inches — matches selection C.

3. You can write equations for width and height and solve.

w/h = 3/2

wh = 54

Substituting w=3/2·h into the second equation gives

... (3/2)h·h = 54

... h² = 36 . . . . . multiply by 2/3

... h = √36 = 6 . . . . square root, result in inches

4 0
3 years ago
Read 2 more answers
State the range of the relation shown
Genrish500 [490]

Answer:  Choice A.  {-3,-1,0,1,2}

Explanation:  

The range is the list of y coordinates of each point.

4 0
2 years ago
Help please?<br> Also explain as much as you can
Natalija [7]
X^3 = 16
x^3 = 4^2

x = ∛4^2
x = 4^2/3

answer
B. 4^2/3

------------------
x^5 = 16
x^5 = 2^4
x = 2^4/5

answer
D. x = 2^4/5

5 0
3 years ago
Determine the slope and y-intercept of the line.<br> y = -69x - 346
Tpy6a [65]

Answer:

Slope: -69

Y-intercept: -346 or (0, -346)

Step-by-step explanation:

y = mx + b

    m = slope

    b = y-intercept

y = -69x - 346

    m = -69

    b = -346

6 0
3 years ago
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