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TEA [102]
3 years ago
15

Write an equation of a line that has a slope of 5 and goes through the point (-8, 35)?

Mathematics
1 answer:
MrRa [10]3 years ago
7 0
Y = 5x + b
Plug in the point
35 = 5(-8) + b
35 = -40 + b, b = 75
Solution: y = 5x + 75
You might be interested in
A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?​
pychu [463]

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

-14=2/3x

21=x

So the x-intercept is 21

6 0
3 years ago
Three consecutive integers have a sum of 75. Find the integers
natima [27]
The answers is 24, 25, and 26.
8 0
3 years ago
Read 2 more answers
The square of a number, x, is 16 less than eight times the number. What is the number? Type the correct answer in the box. Use n
liraira [26]

Given :

The square of a number, x, is 16 less than eight times the number.

To Find :

The value of x .

Solution :

The mathematical equation with all given data is :

x^2=8x-16\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)^2=0\\\\x=4

Therefore , the value of x is 4 .

Hence , this is the required solution .

3 0
3 years ago
Assume that the random variable X is normally​ distributed, with mean muequals45 and standard deviation sigmaequals10. Compute t
saul85 [17]

Answer:

0.1069 = 10.69%

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

In this question:

\mu = 45, \sigma = 10

Between 57 and 69

This is the pvalue of Z when X = 69 subtracted by the pvalue of Z when X = 57. So

X = 69

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

Z = \frac{69 - 45}{10}

Z = 2.4

Z = 2.4 has a pvalue of 0.9918

X = 57

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

Z = \frac{57 - 45}{10}

Z = 1.2

Z = 1.2 has a pvalue of 0.8849

0.9918 - 0.8849 = 0.1069 = 10.69%

4 0
4 years ago
Is a mixed number always greater than a whole number? explain.
natulia [17]
No beacuse 19 1/2 is not bigger than 20
7 0
3 years ago
Read 2 more answers
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