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Reil [10]
3 years ago
11

A rectangular picture is twice as long as it is wide. If the

Mathematics
1 answer:
yulyashka [42]3 years ago
8 0

Answer:

24 in long by 12 in wide.

Step-by-step explanation:

l=2w

288=(2w)×w

288=2w^2

144=w^2

12=w

width is 12 inches. Plug that in to find length...

l=2×12

l=24

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Find a quadratic model for the set of values: (-2, -20), (0, -4), (4,-20) Show your work
Usimov [2.4K]
A quadratic function:
y=ax^2+bx+c

First, take the point (0,-4) and plug the values (x,y) into the equation:
-4=a \times 0^2+b \times 0 +c \\
-4=c

So the equation is y=ax^2+bx-4.

Now plug the values of the other two points into the equation and set up a system of equation:
-20=a \times (-2)^2+b \times (-2)-4 \\
-20=a \times 4^2+b \times 4-4 \\ \\
-20+4=4a-2b \\
-20+4=16a+4b \\ \\
-16=4a-2b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ | \div 2 \\
-16=16a+4b \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |\div 4 \\ \\
-8=2a-b \\
\underline{-4=4a+b} \\
-12=6a \\
\frac{-12}{6}=a \\
a=-2 \\ \\
-8=2a-b \\
-8=2 \times (-2)-b \\
-8=-4-b \\
-8+4=-b \\
-4=-b \\
b=4

The function is:
\boxed{y=-2x^2+4x-4}
5 0
3 years ago
Read 2 more answers
Can you find a five digit number which has no zeros, and no digit is repeated, and where:
Naily [24]

Answer:

13,254

hope this helps :)

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6 0
2 years ago
To the nearest revolution, how many times will a bicycle wheel
iren [92.7K]

Answer:

776 times

Step-by-step explanation:

  1. Find out how far a mile is in inches -> 1 mile = 63360 inches.
  2. Find out the circumference of the wheel (how far it will travel per revolution) C = πd = 26π = 81.68 inches.
  3. Divide the total distance by how far we go each revolution: 63360/ 81.68 = 775.71 revolutions.
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3 0
3 years ago
Factor 0.04m2 - n^2?
777dan777 [17]

Answer:

Step-by-step explanation:

0.04m²-n²=(0.2m)²-n²=(0.2m+n)(0.2m-n0

7 0
4 years ago
Kendra found this relationship between the quantities in the table.
slava [35]

Answer:

Kendra should have multiplied the x-values by 75 to get the y-values

Step-by-step explanation:

Given

Table

X|| Y

1 || 75

2 || 150

3 || 225

4 || 300

5 || 375

Given that Kendra multiply x by 7.5 to get y

The relationship of x and y can be calculated as thus;

y = rx

Where y and x are the values at the y and x column respectively and r is the constant of proportionality

When y = 75, x = 1.

Plug in these values in the above formula

y = rx becomes

75 = r * 1

75 = r

r = 75

When y = 150, x = 2

150 = r * 2

Multiply both sides by ½

150 * ½ = r * 2 * ½

75 = r

r = 75

When y = 225, x = 3

225 = r * 3

Multiply both sides by ⅓

225 * ⅓ = r * 3 * ⅓

75 = r

r = 75

Notice that r remains 75 and the difference between y values is 75

If you apply these formula on when y = 300 or 375 and when x = 4 or 5, the constant of proportionality will remain The value of 75.

Hence, Kendra mistake is that; Kendra should have multiplied the x-values by 75 to get the y-values

6 0
4 years ago
Read 2 more answers
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