Answer:
Step-by-step explanation:
To find the equation, use the slope-intercept formula:
m is the slope and b is the y-intercept. Now, it'll really help to draw a line through the points, connecting them. If you look at point (0,2), we can see that this is the y-intercept (where a point sits on the y-axis when x=0). You can insert this into the equation by taking the y value:
Now, take any two points to find the slope. To make it easier, I'll use (1,5) and (0,2). Use the slope formula for when you know two points:
Rise over run is the change in the y-axis over the change in the x-axis. Insert values:
Solve:
Since both are negative, the result is a positive:
Insert this into the equation as m, the slope:
Done.
Answer:
both functions have the same graph
Step-by-step explanation:
The first function is described in terms of its slope and y-intercept, so can be written in slope-intercept form as ...
y = mx + b . . . . m = slope (-7/9); b = y-intercept (3)
y = -7/9x +3
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The second function is written in point-slope form:
y -k = m(x -h) . . . . m = slope (-7/9), point = (h, k) = (18, -11)
y +11 = -7/9(x -18)
If we rearrange the second equation to the form of the first, we get ...
y = -7/9x +14 -11 . . . . eliminate parentheses, subtract 11
y = -7/9x +3 . . . . . . . matches the equation of the first function
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Both functions describe the same relation.
For 12, the answer would be Y is greater than or equal to 8. If you subtract 193 from both sides of the inequality, you are left with y and 201-193=8. So the overall inequality would look like y>=8. Therefore, you would shade from 8, and everything greater than 8, with a closed circle.
Answer:
What Wally did wrong is that it is supposed to be (4a-5)(a-4)
In order to get -21 a. He was supposed to use negative 5 and 4 to get to negative 21
If he used (4a+5)(a+5)
The answer will be positive 21 and that's not what the problem is asking
Step-by-step explanation:
First of all, we'll break this up . let's start with three. Three is equal to 3.0. Ten hundredths is equal to (10/100) or 0.1. Now let's add them together. 3.0+0.1=3.1
