Answer:
y = 2x -5
Step-by-step explanation:
Given points: (0,-5) (1,-3)
(x1, y1) = (0,-5)
(x2, y2) = (1,-3)
Calculate the slope:
m = (y2 - y1)/(x2 - x1)
m = [-3 - (-5)] / [1 - 0]
m = (-3 + 5) / 1
m = 2/1 = 2
Next, the y-intercept is the value of y when x = 0. One of your given points is the y-intercept, (0, -5). The y-coordinate is the value of b.
Therefore, the linear equation is: y = 2x -5
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Answer:


Step-by-step explanation:
Given
See attachment for parallelogram
Required
Find variables x and y
Solving for x, we have:
---- Opposite sides of a parallelogram
------ Divide both sides by 5

Solving for y, we have:
---- Opposite sides of a parallelogram
------ Collect like terms

---- Divide both sides by 3

Answer:
the zero of a function is the value of x which makes the final value zero
First Equation:
So let 25 - 2x equal to 0
<em>25 - 2x = 0</em>
x = 12.5
Second Equation:
Let 2x² - 11x - 6 equal to zero
<em>2x² - 11x - 6 = 0 </em>
<em>2x² - 12x + x - 6 = 0 </em><em>(Splitting the middle term)</em>
<em>2x(x - 6) + 1(x - 6) = 0</em>
<em>(2x + 1) (x - 6) = 0</em>
So we can transpose either one of the brackets below the zero
(2x + 1) = 0 or (x-6) = 0
x = -1/2 or x = 6
Answer:
5/9
Step-by-step explanation:
Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.
For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.
probability of not picking orange = total marbles that are not orange / total number of marbles
total marbles that are not orange = 7 +3 = 10
10 / 18
To transform to the simplest form. divide both the numerator and the denominator by 2
= 5/9