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3 years ago

A line with slope of -3 passes through the points ( x , -6 ) and ( -2 , 6 ). What is the missing x-coordinate?

1 answer:

6 0

We can use the formula y2-y1/x2-x1 to find the answer. Therefore, we would have: 6-(-6)/-2-x equalling -3. So, 12/-2-x = -3. We multiply both sides by -2-x and get 12 = -3(-2 - x), then 12 = 6+ 3x. We then get 6 = 3x, and by dividing both sides by 2 we get x = 2.

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Mary called a plumber to fix her leaky faucet. The plumber charged a $50 service fee and $20 per hour. Mary owed the plumber $95

Veseljchak [2.6K]

The answer is 2.25h when we do theese equation
95-50=45
45/20=2.25h

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3 years ago

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To earn money for a contest, the math team pays $40 for a box of spirit banners. They sell each banner for $3.50. Write an equat

ankoles [38]

Answer:

$3.5b - 40$ where $b$ is the amount of banners sold.

Step-by-step explanation:

We know the team has already spent $40, and they earn #3.5 per banner.

Hence, with $b$ representing the amount of banners sold, the equation is $3.5b - 40$

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3 years ago

Which expression is even for all integers a and b?

Irina18 [472]

Do u have a problem that went with this?

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3 years ago

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determine the average rate of change of the function between the given variables h(x) = x; x=a, x=a+h

Alecsey [184]

Answer:

the average rate of change is 4.

Step-by-step explanation:

Find the average rate of change of f(x)=x^2 on the interval [1,3].

The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)/b−a.

We have that a=1, b=3, f(x)=x^2.

Thus, f(b)−f(a)/b−a=((3))^2−(((1))^2)/3−(1) = 4.

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4 years ago

A set of data items is normally distributed with a mean of 400 and a standard deviation of 60. Find the data item in this distri

Softa [21]

Answer:

The data item is $X = 580$

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value 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. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 400 and a standard deviation of 60.

This means that $\mu = 400, \sigma = 60$

z=3

We have to find X when Z = 3. So

$Z = \frac{X - \mu}{\sigma}$

$3 = \frac{X - 400}{60}$

$X - 400 = 3*60$

$X = 580$

The data item is $X = 580$

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3 years ago