Answer:
C
Step-by-step explanation:
We see that the y-intercept is 3. So it is either A of B.
Plug in the point that is on the line (1, -2), we see that the point works for C.
The total area would be the combined area of all three
Let’s knock out the first 2
4.5 * 13 = 58.5 * 2 = 117
Now the last
4.5 * 9 = 40.5
117 + 40.5 = 157.5 ft^2
Steps to solve:
3^2 • 3^-8 • 3^0
~Apple exponent rule [ a^b * a^c = a^b+c ]
3^2-8+0
~Simplify
3^-6
~Use exponent rule [ a^-b = 1/a^b ]
1/3^6
~Simplify
1/729
Best of Luck!
Answer:
y = -1/3x + 2
Step-by-step explanation:
The gradient of the given line is 3 because (y = mx +c where m is the gradient)
Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.
The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.
Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.
To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.
So it would be 1 = (-1/3 x 3) +c
Which would be 1 = -1 +c
And so c = 2
Put everything together and you get y = -1/3x + 2
Question #1
Part A:
The y-intercept can be found when x = 0. If you look at your table, when x = 0, y = 5.
So the y-intercept is 5.Part B:
The slope is 22.Part C:
y = mx + b
y = 22x + 5
We are given 225 as the range, or in place of y.
225 = 22x + 5
220 = 22x
x = 10
The domain is 10.Question #2
Part A:
(2,255)
(5,480)
Standard form is Ax + By = C

Let's plug this into this form first:

Now, let's make it into Standard Form.

What, which is in the box, is your final answer. :)
Part B:
Function notation simply means replacing y with f(x).
We had y = 85x + 55
So your answer is:

Part C:
Using the final answer which we got in Part A, we would know that the y-intercept is (0,55) and the x-intercept is (-55/85, 0). We would plot these 2 points, and then draw a line between them. :)