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Art [367]
2 years ago
8

The distance between two towns on a map varies directly with the actual distance between the towns.

Mathematics
1 answer:
Hitman42 [59]2 years ago
6 0

Answer:  220 miles

Step-by-step explanation:

(150 miles)/(7.5 inches) = 20 miles/inch

(20 miles/inch)*(11 inches) = 220 miles

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Given the x-intercepts for the graph of a quadratic function, write a possible formula for the quadratic function, in
eduard

Answer:

Step-by-step explanation:

x-intercepts are SOLUTIONS to a quadratic whereas when you put those solutions into factor form (in a set of parenthesis), you have the FACTORS of the quadratic.  They are the same thing generally, they are just written in different forms.  For example, if a solution to a quadratic is x = 3, it has been understood that x = 3 when y = 0. Therefore, if x - 3 = y and y = 0, then x - 3 = 0.  Solving that for x, you get x = 3.  That factor of x = 3 is (x - 3).

Following that logic, for a:

If the x intercepts are x = 0 and x = 3, it is understood that x + 0 = 0 so x = 0 and the factor is (x + 0) (it could also be x - 0 since adding 0 is the same as subtracting 0); if x = 3 it is understood that x - 3 = 0 and the factor is (x - 3).

For b:

If the x-intercepts are x = -1 and x = 1, then originally the factors were (x + 1) and (x - 1).  Again, set each of those equal to 0 and solve for x (THE X-INTERCEPT EXISTS WHERE Y = 0!)

For c:

If the x-intercepts are x = -5 and x = 10, then originally the factors were (x + 5) and (x - 10).

For d:

If the x-intercept is a fraction, do the same thing:

x = 1/2 so

x - 1/2 = 0 Now multiply both the x and the 1/2 by a 2 to get the factor (2x - 1) and the other factor from x = 4 is (x - 4)

5 0
3 years ago
the entry fee to the fair is 4.00 . each rides requires a ticket that cost 0.50 heidi spent a total 12.00 how many ticket did he
Fofino [41]
She bought 16 tickets
3 0
3 years ago
kara opened a savings account with $8,000. she makes no changes to this account after 2 years. her account has a compound intere
olga_2 [115]

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Step-by-step explanation:

One two three

7 0
3 years ago
The table shows the number of pounds of green
mel-nik [20]

Answer:

10 1/2

Step-by-step explanation:

First you would do.

9+2/3+5/6

2/3=4/6

9+4/6+5/6

9+9/6=3/2

9+1 1/2

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3 0
4 years ago
What is the volume of this prism
Rainbow [258]

Answer:

36 cubic units

Step-by-step explanation:

length x width x height

you don’t need to pay attention to 6.97 because that’s not the real height. The real height is 4 (the straight line)

3x3x4 = 36 cubic units

4 0
3 years ago
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