Answer: f(x)= 2x -3
Step-by-step explanation:
Using the given information we can come up with two points that will be use to find the slope and y-intercept.
If you input 0 you get -3 so the point will be (0,-3)
If you input 7 you get 11 so the point will be (7,11)
Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.
y coordinates: -3 - 11 = -14
x coordinates: 0 - 7 = -7
-14/-7 = 2
Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.
Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.
-3= 2(0) +b
-3 = 0 + b
b = -3
f(x) is the same as y in the formula, meaning that the equation will be
f(x) = 2x -3
Answer:
D) 1980 to 2000
Step-by-step explanation:
Finding the average rate of change in each interval to determine the greatest one.
Production per interval
1950-1960 = 
= 10 million
1960-1970 = 
= 20 million
1970-1980 = 
= 30 million
1980-2000 = 
million
Rate of change (1950-1960)= 
Rate of change (1960-1970) = 
Rate of change (1970-1980)= 
Rate of change (1980-2000)= 
∴ rate of change between 1980 to 2000 is 126.78%
Answer:
500 grams
Step-by-step explanation:
Let's say that the total number of grams of the sample is x. We know that 30% of x is salt and we also know this quantity is 150 grams. So, we can write this as:
30% * x = 150
Remember that % is simply "out of 100", so 30% = 30/100 = 0.30. Then:
0.30 * x = 150
Divide both sides by 0.30:
x = 500 grams
Hope this helps!
here 8x and (2x+60) are corresponding angles
since line l1 and l2 are parallel, so the two angles will be equal
8x=2x+60
8x-2x=60
6x=60
dividing by 6
x=10
option D. 10 is correct
The number is = 10x+y
if reverse the digits, the number is: 10y+x
The sum fo its digits is = x+y=5
I suggest this system of equations:
(10y+x)-(10x+y)=27 ⇒9y-9x=27
x+y=5
We can solve this system of equations by equaliztion method
x=5-y
9y-9(5-y)=27
9y-45+9y=27
18y=27+45
18y=72
y=72/18
y=4
x=5-y
x=5-4=1
The number is: 10x+y=10(1)+4=14
Answer: the number is 14
