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3 years ago

Evaluate (-4^2) - (3 *4) + 9

Mathematics

1 answer:

Elanso [62]3 years ago

5 0

-19

-4 * -4 - 12 + 9

-16-12 +9

-28 + 9

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Write an equation in slope-intercept form for the line passing through the following pair of points: (2, -6), -4, 3).

saveliy_v [14]

The equation in slope intercept form is $y=-\frac{3}{2} x-3$

Explanation:

The given pair of points are $(2,-6)$ and $(-4,3)$

The slope can be determined using the formula,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substituting the points $(2,-6)$ and $(-4,3)$ in the slope formula, we have,

$m=\frac{3+6}{-4-2}$

$m=\frac{9}{-6}$

$m=-\frac{3}{2}$

The equation in slope intercept form can be determined using the formula,

$y-y_1=m(x-x_1)$

Substituting $m=-\frac{3}{2}$ and the point $(2,-6)$ in the above formula, we get,

$y+6=-\frac{3}{2} (x-2)$

$y+6=-\frac{3}{2} x+3$

$y=-\frac{3}{2} x+3-6$

$y=-\frac{3}{2} x-3$

Thus, the equation in slope intercept form is $y=-\frac{3}{2} x-3$

3 0

3 years ago

Last year, at Northern Manufacturing Company, 200 people had colds during the year. One hundred fifty- five people who did no ex

Svetach [21]

Answer:

a) P=0.2

b) P=0.1

Step-by-step explanation:

We have a total of 1,000 employees in the company.

Out of this 1,000 employees, 200 had colds. If this proportion allow us to estimate the probability of next year colds, we have:

$P(colds)=\frac{200}{1000} =0.2$

If we take only the ones that are involved in excercise programs, we have 50 cases of cold out of 500 employees (half of the total employees).

The probabillity of cold for them is then:

$P(cold\,|\,exercise)=\frac{50}{500}=0.1$

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3 years ago

What is the solution of this linear system? A. B. C. D. E.

andreyandreev [35.5K]

Answer:

Step-by-step explanation:

Only B (14,10,8) satisfies all three equations.

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3 years ago

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Kipish [7]

A. -4

b. -10

c. 10

d. -21

e. 2

f. 46

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4 years ago

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Students were asked to choose their favorite food and chose either pizza or tacos. If of the students chose pizza, what fraction

grigory [225]

Looks like you are missing a fraction after the 'If'

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4 years ago