Answer:
y= -30
Step-by-step explanation:
THis is because you substitue 3 for X and then multiply -10 and 3 and a negative times a positive is a negative so -10 times 3 is -30
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the data of the statement we have the following points:
We found the slope:
Thus, the equation is of the form:
We substitute one of the points and find b:
Finally, the equation is:
Answer:
4 is a coefficient and X and Y are variables so the -110 is the constant so there for the answer is D
Answer:
hi
Step-by-step explanation:
the function is c(x) = 31 + 0.18*x
where $31 is a fixed cost, and $0.18 is the cost per mile drive (where the number of miles driven)
So the fixed cost, $31, is the cost per day of rent (this price does not depend on the number x), and the linear cost, $0.18, is the cost per mile driven (because this number is multiplied by x in the function), then the right answer is B: "$31 is the cost per day to rent the car and $0.18 is the cost per mile."
There are 5 solutions for this system.
x^2 + 4y^2 = 100 ____1
4y - x^2 = -20 ____2
Add both 1 & 2 together. x^2 gets cancelled
4y^2 + 4y = 80 (send 80 to the other side and divide by 4)
Then equation the becomes : y^2 + y -20 =0
Now factorise the equation: (y+5) (y-4) = 0
Solve for y : y = -5 and y = 4
Using the values of y to find the values of x. From equation 1:
x^2 = 100 - 4y^2 x = /100 - 4y^2 (/ means square root) Replace values of y
y = -5, x = /100 - 4(-5)^2 = /100 - 100 = 0
y = 4, x = /100 - 4(4)^2 = / 100 - 64 = /36 = -6 or 6
Thus we have 6 solutions y = -5, 4 and x = -6, 0, 6
