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3 years ago

Write an equation of the line that passes through (-4,3) and (0,6). An equation is y =

Mathematics

1 answer:

VMariaS [17]3 years ago

3 0

Answer:

y= ¾x +6

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient first.

$gradient = \frac{y1 - y2}{x1 - x2}$

Using the formula above,

$m = \frac{6 - 3}{0 - ( - 4)} \\ m = \frac{3}{4}$

subst. the value of m into the equation.

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

To find c, substitute a coordinate.

When x=0, y=6,

$6 = \frac{3}{4} (0) + c \\ 6 = 0 + c \\ c = 6$

Thus, the equation of the line is $y = \frac{3}{4} x + 6$ .

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What is the factorization???

Sav [38]

we can see that

the above curve is parabola

so, firstly , we can find vertex

vertex is (4,0)

$(h,k)=(4,0)$

now, we can use vertex formula of parabola

$y=(x-h)^2+k$

we can plug h and k

and we get

$y=(x-4)^2+0$

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2 years ago

Does the graph represent a function?

Genrish500 [490]

Answer:

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2 years ago

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The number of major earthquakes in a year is approximately normally distributed with a mean of 20.8 and a standard deviation of

SCORPION-xisa [38]

Answer:

a) 51.60% probability that in a given year there will be less than 21 earthquakes.

b) 49.35% probability that in a given year there will be between 18 and 23 earthquakes.

Step-by-step explanation:

Problems of normally distributed samples can be 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 problem, we have that:

$\mu = 20.8, \sigma = 4.5$