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3 years ago

Which is the equation of a line that has a slope of -2/3 ans passes through the point (-3, -1)

Mathematics

1 answer:

kupik [55]3 years ago

5 0

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - $\frac{2}{3}$ , hence

y = - $\frac{2}{3}$ x + c ← is the partial equation

To find c substitute (- 3, - 1) into the partial equation

- 1 = 2 + c ⇒ c = - 1 - 2 = - 3

y = - $\frac{2}{3}$ x - 3 ← is the equation of the line

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Alexia ran 3 laps around her neighborhood. Each lap is 1 3/8 miles. How many miles did Alexia run? find your answer using additi

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Answer:

4 1/2

Step-by-step explanation:

8 0

2 years ago

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When you divide me by 5,remainder is 4.

ICE Princess25 [194]

Clue one tells you it ends in a 4 or 9.
Clue two tells you it has to be 9.
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3 years ago

plz help In Alexis’ English class, 21 students completed an essay by the due date. There are 30 students in Alexis’ English clas

yarga [219]

Answer:

70%

Step-by-step explanation:

I'm sorry but I don't really know how to explain it other than 70% of 30 is 21 so that means that 30% of the students turned their essay in on time.

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3 years ago

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SAT scores are distributed with a mean of 1,500 and a standard deviation of 300. You are interested in estimating the average SA

kotegsom [21]

Answer:

I should use at least 304 students

Step-by-step explanation:

Margin error (E) = t × sd/√n

E = 40

sd = 300

confidence level (C) = 98% = 0.98

significance level = 1 - C = 1 - 0.98 = 0.02 = 2%

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3 0

3 years ago

The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is

antoniya [11.8K]

Answer:

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

$N(T(t)) = 22 * (8t + 1.7)^2 - 123 * (8t + 1.7) + 40$

$N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40$

$N(T(t)) = 1408t^2 + 598.4t + 63.58 - 984t - 169.1$

$N(T(t)) = 1408t^2 - 385.6t - 105.52$

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

$8019 = 1408t^2 - 385.6t - 105.52$

$1408t^2 - 385.6t - 8124.52 = 0$

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0

3 years ago