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VMariaS [17]
4 years ago
11

8. MD Persevere with Problems The perimeter of a rectangle

Mathematics
1 answer:
ss7ja [257]4 years ago
6 0

Answer:

Step-by-step explanation:

P = 2(L + W)

P = 24

width = x, length = y

24 = 2(x + y)

24 = 2x + 2y

standard form would be : 2x + 2y = 24, or it could also be x + y = 12

to find the x intercept, sub in 0 for y and solve for x

x + y = 12

x + 0 = 12

x = 12....so the x intercept is (12,0)

to find the y intercept, sub in 0 for x and solve for y

x + y = 12

0 + y = 12

y = 12......so the y intercept is (0,12)

No, the intercepts do not make sense.

consider the equation : 2x + 2y = 24

if x is 12.......

2(12) + 2y = 24

24 + 2y = 24

2y = 24 - 24

2y = 0

y = 0......so if x (the width) is 12 cm, the y(the length) would be 0.

same goes with the length (y)....if y = 12, then the width (x) is 0

also, if x is 12 and y is 12

P = 2(L + W)

P = 2(12 + 12)

P = 2(24)

P = 48..............then the perimeter would not be 24, it would be 48

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A study found that a driver’s reaction time A(x) to audio stimuli and his or her reaction time V(x) to visual stimuli (both in m
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Answer:

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The given inequalities are

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where, x is the driver's age (in years), A(x) is driver’s reaction time to audio stimuli and V(x) is his or her reaction time to visual stimuli, 16 ≤ x ≤ 70.

We need to find an inequality that can be use to find the x-values for which A(x) is less than V(x).

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0.0051x^2 - 0.319x + 15< 0.005x^2 - 0.23x + 22

0.0051x^2 - 0.319x + 15- 0.005x^2 + 0.23x- 22

Combine like terms.

0.0001 x^2 - 0.089 x - 7

where, 16 ≤ x ≤ 70.

Therefore, the required inequality is 0.0001 x^2 - 0.089 x - 7.

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4 years ago
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