Answer: -7/9
Step-by-step explanation: To identify the slope of this line, first notice that this equation is in standard form which is Ax + By = C.
To find the slope, we need to solve for our variable <em>y</em>.
We first need to identify what is happening to our variable <em>y</em>. You can notice that it's being multiplied by 9 and is being added by 7x because 7x is a +7x so we're adding the 7x to the 9y.
So the first thing we do is undo addition and subtraction to our variable.
On the left the -7x's cancel and we are left with 9y. on the right, we do not want to write 45 - 7x because we always want to keep our variable in front of our constant. So I will just write that as 9y = -7x + 45.
Now we can divide everything by 9 in order to get <em>y</em> by itself.
This leaves us with <em>y = -7/9x + 5</em>.
Now our slope is the multiplier or the coefficient of the <em>x</em> term which in this case is -7/9. So the slope is -7/9.
The value of 2 in 169,526 represents the tens place.
First, the equation needs to be put into slope-intercept form, which is y = -4/5x + 7/5. Then, you need to know what parallel and perpendicular lines are. REMEBER, parallel lines have the same slope, and perpendicular lines have slopes whose product equal -1. You just need to substitute. For the parallel line, -2 = -4/5(4) + b, and b = 6/5, so y = -4/5x + 6/5. For the perpendicular line, the slope is 5/4. Now substitute. -2 = 5/4(4) + b, and b = -7, so y = 5/4x -7.
3.5 because 42 divided by 12 is 3.5
Answer:
1
Step-by-step explanation:
To evaluate (g ○ f)(0), substitute x = 0 into f(x) then substitute the value obtained into g(x), that is
f(0) = 5(0) + 1 = 0 + 1 = 1, then
g(1) = 1³ = 1