Answer: B. The rate is 2, the initial value is 4, and the specific value is 6.
Step-by-step explanation:
for a linear function y = a*x + b
Rate = coefficient that is multiplicating the variable. ( a in this case)
Initial value = value taken of y, when we have x = 0 (b in this case)
Specific value = value forced on y.
In this case, we have:
y = 6 = 2*x + 4
Then:
The coefficient multiplicating x is 2, so the rate is 2.
The constant term is 4, so the initial value is 4.
The value equal to y is 6, so the specific value is 6.
The correct option is B.
Answer:
The equation of the required line is y = x + 5
Step-by-step explanation:
The equation of the given line is y = x - 2
The required line = A line parallel to the given line
The point through which the required line passes = (-3, 2)
The general form of the equation of a straight line, is y = m·x + c
Where;
m = The slope of the line
By comparison, the slope of the given line, m = 1
When two lines are parallel, their slope are equal
Therefore, the slope of the required line = m = 1
The equation of the required line in point and slope form is therefore;
y - 2 = x - (-3) = x + 3
∴y = x + 3 + 2 = x + 5
The equation of the required line is therefore;
y = x + 5.
Answer:
44%
Step-by-step explanation:
First, take that pretty figure and align it into complete rows.
It will make 2 full rows plus one block.
1 row is 20% since 100 / 5 blocks is 20.
That's 11 blocks.
11 / 25 = .44 or 44%
Answer:
The charges will be the same after 4 hours.
Step-by-step explanation:
Total Amount = y
Number of hours = x for x > 2
Garage A: y = $7.00 + (x - 2)*3
Garage B: y = 3.25*x
Part 3: What is the cost to be equal?
3.25x = 7 + 3(x - 2) Remove the brackets
3.25x = 7 + 3x - 6 Collect terms on the right
3.25x = 3x + 1 Subtract 3x from both sides.
3.25x - 3x = 3x - 3x + 1 Combine
0.25x = 1 Divide by 0.25
0.25 x/0.25 = 1 / 0.25
x = 4 hours.
3 more than 7= 7 +3 3 added to 7= 7 +3 lesson 1-6... five plus x minus 3 2) three times y less 4 3).. seven minus twice the quotient of x and 3
