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3 years ago

Complete the equation of the line through 2,1 and 5,-8

Mathematics

2 answers:

SOVA2 [1]3 years ago

5 0

Answer:

Step-by-step explanation:

Hello : let A(2,1) B(5,-8)

the slope is : (YB - YA)/(XB -XA)

(-8-1)/(5-2) = -9/3=-3

an equation is : y=ax+b a is a slope

y = -3x +b

the line through point (2,1) : 1= -(3)(2)+b

b = 7

the equation is : y =-3x+7

Neko [114]3 years ago

3 0

Answer:

y - 1 = -3(x - 2)

Step-by-step explanation:

As we move from the point (2, 1) to the point (5, -8), x (the run) increases by 3 and y (the rise) decreases by 9. Thus, the slope of this line is

m = rise / run = -9/3, or m = -3.

Then the equation of the line (in point-slope form) is

y - 1 = -3(x - 2)

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Zeth has $32.12 in his change

d1i1m1o1n [39]

The answer is $8.43 for this question

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2 years ago

Is (2, -4) a solution to the inequality 2x - 3y < 15? Yes or No

miss Akunina [59]

Answer:

No.

Step-by-step explanation:

We substitute the values x = 2 and y = -4 into the inequality.

Left side = 2(2) - 3(-4) = 4 + 12

= 16

Now the right side is 15 so we get 16 < 15 which is incorrect.

So (2, -4) is not a solution.

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2 years ago

The service department of a luxury car dealership conducted research on the amount of time its service technicians spend on each

mart [117]

Answer:

Probability that the mean service time is between 1 and 2 hours is 0.96764.

Step-by-step explanation:

We are given that a systematic random sample of 100 service appointments has been collected.

The 100 appointments showed an average preparation time of 90 minutes with a standard deviation of 140 minutes.

Let $\bar X$ = sample mean service time

The z-score probability distribution for sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = average preparation time = 90 minutes

$\sigma$ = standard deviation = 140 minutes

n = sample of appointments = 100

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.

Now, probability that the mean service time is between 60 and 120 minutes is given by = P(60 minutes < $\bar X$ < 120 minutes)

P(60 minutes < $\bar X$ < 120 minutes) = P( $\bar X$ < 120 min) - P( $\bar X$ $\leq$ 60 min)

P( $\bar X$ < 120 min) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ < $\frac{120-90}{\frac{140}{\sqrt{100} } }$ ) = P(Z < 2.14) = 0.98382

P( $\bar X$ $\leq$ 60 min) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ $\leq$ $\frac{60-90}{\frac{140}{\sqrt{100} } }$ ) = P(Z $\leq$ -2.14) = 1 - P(Z < 2.14)

= 1 - 0.98382 = 0.01618

The above probability is calculated by looking at the value of x = 2.14 in the z table which has an area of 0.98382.

Therefore, P(60 min < $\bar X$ < 120 min) = 0.98382 - 0.01618 = 0.96764

7 0

3 years ago

Which statement best explains why y=4−6x is a function?

cluponka [151]

Answer:

The correct answer option is: Each x value has one and only one y value.

Step-by-step explanation:

A relationship from a set of inputs to a set of outputs where each input has exactly one corresponding output value is said to be a function.

Here, we are given $y=4-6x$ which happens to be a function as no x value is repeated and there is only one corresponding y value to it.

Therefore, option c is the correct answer.

5 0

2 years ago

What is 5/60 simplified i need helps

Pavel [41]

Divide the numerator and denominator by 5 and get 1/12
so 5/60 simplified is 1/12

Hope this helps! :D

4 0

2 years ago

Read 2 more answers