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3 years ago

What is the equation of the linear function written in slope-intercept form?

Mathematics

1 answer:

-Dominant- [34]3 years ago

3 0

Answer:

Step-by-step explanation:

The slope-intercept form of an equation of a line:

$f(x)=mx+b$

m - slope

b - y-intercept, (0, b)

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

From the graph we have two points A(-1, 2) and B(0, -1) → b = -1.

Calculate the slope:

$m=\dfrac{-1-2}{0-(-1)}=\dfrac{-3}{1}=-3$

Finally:

$f(x)=-3x-1$

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Which are the solutions of x2 = -5x + 8?

Oksana_A [137]

Answer:

1.27, -6.27 to the nearest hundredth,

or if you require it in exact form,

-2.5 + √14.25, -2.5 - √14.25.

Step-by-step explanation:

x^2 = -5x + 8

x^2 + 5x = 8

Competing the square:

(x + 2.5)^2 - 6.25 = 8

(x + 2.5) = 14.25

x + 2.5 = +/-√14.25

x = -2.5 + √14.25, -2.5 - √14.25

x = -2.5 + 3.77, -2.5 - 3.77

= 1.27, -6.27.

6 0

3 years ago

700,000,000+10,000,000+1,000,000+100,000+40,000+2,000+200+7 write the standard form above

Damm [24]

Answer:

712,402,207

Step-by-step explanation:

;)

6 0

3 years ago

Read 2 more answers

Consider the absolute value inequality: |x - 6| > 20. Will the graph of the solutions to the inequality result in an "and" or

Dmitrij [34]

Step-by-step explanation:

Case 1 : |x| > a, => x > a or x < -a

Case 2 : |x| < a, => -a < x < a

Since this question follows Case 1, we will have an "or" inequality.

3 0

3 years ago

8.52 The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches

sweet [91]

Answer:

Heights of 29.5 and below could be a problem.

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.

The heights of 2-year-old children are normally distributed with a mean of 32 inches and a standard deviation of 1.5 inches.

This means that $\mu = 32, \sigma = 1.5$