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1 year ago

Find an equation of a line with slope -3/4 and that passes through P(-4,6) in standard, form.

Mathematics

1 answer:

SashulF [63]1 year ago

3 0

Answer:

$y = - \frac{3}{4}x + 3$

Step-by-step explanation:

the standard form of any straight line is:

y = m × x + c

where: y is the y value of the point

x is the x value of the point

m is the gradient/slope

SOLUTION

$y = mx + c \\ 6 = - \frac{3}{4} ( - 4) + c \\ c = 3$

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mylen [45]

Answer:

B) 8x10^(-8)

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1 year ago

Write the rational number as a decimal. Show your work. 5/9 -3/8 -3/11.

Bad White [126]

I have memorized facts about fractions like these, so can tell you ...

$\dfrac{5}{9}=0.5\overline{5}\\\\-\dfrac{3}{8}=-3\times 0.125=-0.375\\\\-\dfrac{3}{11}=-0.27\overline{27}$

_____

A fraction with 9 as a denominator is a repeating 1-digit decimal with the decimal digit being the numerator of the fraction.

A fraction with 11 as a denominator is a repeating 2-digit decimal with the two digits being 9 times the numerator of the fraction.

1/8 = 0.125, so any multiple of 1/8 is that multiple of 0.125.

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2 years ago

Select all expressions that are equivalent to 4x+2(2x-5)-(3-5x)

Arada [10]

For this case we have the following expression:

$4x + 2 (2x-5) - (3-5x)$

Applying distributive property to the terms within parentheses taking into account that:

$- * + = -\\- * - = +$

We have:

$4x + 4x-10-3 + 5x =$

We add similar terms taking into account that:

Equal signs are added and the same sign is placed.

$4x + 4x + 5x-10-3 =\\13x-13$

Thus, an equivalent expression is:

$13x-13$

Answer:

$13x-13$

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2 years ago

A high school student took two college entrance exams, scoring 1070 on the SAT and 25 on the ACT. Suppose that SAT scores have a

antoniya [11.8K]

Answer:

Due to the higher z-score, he did better on the SAT.

Step-by-step explanation:

When the distribution is normal, we use 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.

Determine which test the student did better on.

He did better on whichever test he had the higher z-score.

SAT:

Scored 1070, so $X = 1070$