Answer:
24
Step-by-step explanation:
Problems at start = 32
-Problems done Friday = ¼ × 32 = <u> 8</u>
Problems still to be done = 24
Andrea had to do 24 problems on Saturday to complete the homework.
The general formula for the equation of the straight line is:
y−b=m(x−a) where
m is the slope
a is the x coordinate of the given point
b is the y coordinate of the given point
The slope is given as 2
x coordinate in the given point is 5
y coordinate of the given point is 9
Substitute with these values in the mentioned equation as follows:
y−9=2(x-5)
Answer: x= 1.9
Step-by-step explanation:
We can replace the inequality with qual sign:
2x - y = 4
x + y = -1
We can combine both question
3x = 3
x = 1
Since we know x = 1, we can solve for y by plug in in either equation:
x + y = -1
1 + y =-1
y = -2
or
2x - y = 4
2(1) - y = 4
-y = 2
y = -2
So the solution of this system of equation is the coordinate (1, -2)
Answer:
h(x) = ½x + 5
Step-by-step explanation:
From the question given above, the following data were obtained:
Function, f(x) = 2x – 10
Inverse, h(x) =?
The inverse of the function, h(x) can be obtained as follow:
f(x) = 2x – 10
Let f(x) = y
y = 2x – 10
Interchange x and y
x = 2y – 10
Make y the subject by rearranging
x + 10 = 2y
Divide both side by 2
y = (x + 10) / 2
y = ½x + 5
Replace y with h(x)
h(x) = ½x + 5
Thus, the inverse of the function is
h(x) = ½x + 5
