on the very far left it says (5,-1.5)
Answer:
The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled. The slope is 28, which represents the miles that can be traveled with 1 gallon of gas
Step-by-step explanation:
Let
x----> the amount of gas used in gallons
y ---> the distance traveled in miles
we have
This linear equation represent a direct variation
The y-intercept is the value of y when the value of x is equal to zero
For x=0, y=0
That means ----> The y-intercept is 0, which represents the amount of gas used when 0 miles are traveled
The slope is
That means ----> The slope is 28, which represents the miles that can be traveled with 1 gallon of gas
Add 6x and x to have 7x.
-1+6x+x=-1
7x-1=-1
+1=+1
7x=0
Divide 7x by 7 so the x can be left alone.
X=0
9514 1404 393
Answer:
Step-by-step explanation:
The line to the upper left has a slope of -1. If it were extended, it would intersect the y-axis at y=3, so its equation is ...
y = -x +3
The line to the upper right has a slope of +1 and a y-intercept of 4, so its equation is ...
y = x + 4
At x=-2, the function is defined as -2.
So, the piecewise definition is ...
In the given series, we see that the first term is 3 and
the common ratio between the succeeding terms is -3. To solve for the sum of
the first 8 terms, we use the equation,
Sum = (a1)(1 – r^n) / (1 – r)
Substituting the known terms,
Sum
= (3)(1 – (-3)^8)/(1 - -3) = -4920
<span>Thus, the answer is -4920.</span>