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OLEGan [10]
3 years ago
12

The tables represent two linear functions in a system,

Mathematics
1 answer:
Alenkasestr [34]3 years ago
5 0

Answer:

<h2>(8, -22)</h2>

Step-by-step explanation:

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

y=mx+b

m - slope

b - y-intercept

The formula of a slope:

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

First table:

(-4, 26), (0, 10) → b = 10

m=\dfrac{10-26}{0-(-4)}=\dfrac{-16}{4}=-4

\boxed{y=-4x+10}

Second table:

(-4, 14), (0, 2) → b = 2

m=\dfrac{2-14}{0-(-4)}=\dfrac{-12}{4}=-3

\boxed{y=-3x+2}

We have the system of equations:

\left\{\begin{array}{ccc}y=-4x+10&(1)\\y=-3x+2&(2)\end{array}\right\\\\\text{Put (1) to (2):}\\\\-4x+10=-3x+2\qquad\text{subtract 10 from both sides}\\-4x=-3x-8\qquad\text{add 3x to both sides}\\-x=-8\qquad\text{change the signs}\\x=8\\\\\text{Put the value of x to (2):}\\\\y=-3(8)+2\\y=-24+2\\y=-22

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Dima020 [189]

Answer:

There is a 1/3 (or 0.33%) probability of rolling a number greater than or equal to 5.

Step-by-step explanation:

First, find what numbers are greater than or equal to 5:

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Find what options you can get on a number cube:

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Out of the 6 possible outcomes, there are only 2 that will get a number greater than or equal to 5. Write this as a fraction:

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Simplify:

1/3

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2 years ago
A line passes through the points (−4, −1) and (−2, −4) . Fill in the boxes to complete an equation for the line in point-slope f
gizmo_the_mogwai [7]
Here, first we need to calculate for Slope:
m = y2-y1 / x2-x1
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Now, y - y1 = m(x - x1)
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In short, Your Equation would be: y = -3/2x - 7

Hope this helps!
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Step-by-step explanation:

1.

In a function, each x-value must only have 1 y-value, but a y-value can have multiple x-values.

2.

A whole number is any positive number that is not a fraction. You cannot have negative devices nor a fraction of a device.

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