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AlekseyPX
3 years ago
7

Use the information given to enter an equation in standard form.

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

y = -2x + 25

Step-by-step explanation:

A standard equation can be in slope-intercept form: y = mx + b

m is the slope, b is the y-intercept.

Plug in the given slope.

y = -2x + b

To find b, plug in the given point (9, 7).

7 = -2(9) + b

Multiply.

7 = -18 + b

Add 18 to both sides to find b.

25 = b

Plug this into your standard equation.

y = -2x + 25

Check by plugging in the given point again.

7 = -2(9) + 25

7 = -18 + 25

7 = 7

Your answer is correct!

Hope this helps!

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A signalized intersection has a cycle length of 60 seconds and an effective red time of 25 seconds. The effective green time is
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Answer:

effective green time = 35 seconds

Step-by-step explanation:

given data

cycle length = 60 seconds

effective red time = 25 seconds

solution

we get here  effective green time that is express as

effective green time = cycle length  - effective red time   ...........................1

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X² - xy = 0<br> x + y = 1
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Answer:

(0, 1 ) and (\frac{1}{2}, \frac{1}{2} )

Step-by-step explanation:

Given the 2 equations

x³ - xy = 0 → (1)

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y = 1 - x → (3)

Substitute y = 1 - x into (1)

x² - x(1 - x) = 0

x² - x + x² = 0

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x(2x - 1) = 0

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x = 0

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Substitute these values into (3) for corresponding values of y

x = 0 : y = 1 - 0 = 1 ⇒ (0, 1 )

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