Answer: B
Step-by-step explanation: A function is a relation in which each input value is paired to exactly one output value.
Technically, if you had the same input value twice and the same output value corresponded to each of those, it would still be a function because you are just repeating what you have twice.
However, most teachers want to think of it as each input value must have exactly one corresponding value to be a function.
Answer:
Step-by-step explanation:
One of the easier approaches to graphing a linear equation such as this one is to solve it for y, which gives us both the slope of the line and the y-intercept.
x-3y=-6 → -3y = -x - 6, or 3y = x + 6.
Dividing both sides by 3, we get y = (1/3)x + 2.
So the slope of this line is 1/3 and the y-intercept is 2.
Plot a dot at (0, 2). This is the y-intercept. Now move your pencil point from that dot 3 spaces to the right and then 1 space up. Draw a line thru these two dots. End.
Alternatively, you could use the intercept method. We have already found that the y-intercept is (0, 2). To find the x-intercept, let y = 0. Then x = -6, and the x-intercept is (-6, 0).
Plot both (0, 2) and (-6, 0) and draw a line thru these points. Same graph.
The solution to given system of equations is (x, y) = (2, -1)
<em><u>Solution:</u></em>
Given system of equations are:
-1x + 2y = -4 -------- eqn 1
4x + 3y = 5 ------- eqn 2
We can solve the above system of equations by elimination method
<em><u>Multiply eqn 1 by 4</u></em>
4(-1x + 2y = -4)
-4x + 8y = -16 ------ eqn 3
<em><u>Add eqn 2 and eqn 3</u></em>
4x + 3y = 5
-4x + 8y = -16
( + ) --------------------
0x + 11y = -16 + 5
11y = -11
y = -1
<em><u>Substitute y = -1 in eqn 1</u></em>
-1x + 2(-1) = -4
-x -2 = -4
-x = -4 + 2
-x = -2
x = 2
<em><u>Check the answer:</u></em>
Substitute x = 2 and y = -1 in eqn 2
4x + 3y = 5
4(2) + 3(-1) = 5
8 - 3 = 5
5 = 5
Thus the obtained answer is correct
Thus the solution to given system of equations is (x, y) = (2, -1)
There are 453.592 grams in 1 pound.
3825 / 453.592 = 8.43
3825 grams is about 8.43 pounds.