Answer:
x=9
Step-by-step explanation:
8x-14=2(2x+11)
8x-14=4x+22
4x=36
x=9
Answer:
Step-by-step explanation:
f(x) = 50 - 2x
x = 0 when the vitamins are bought and none have been taken 9 that is day 0).
So the intercept on the y axis 50 - 2(0) = 50 represents this situation ( day = 0 and number of vitamins = 50).
When all the vitamins have been taken f(x) = 0 so we have
50 - 2(25) = 0 This is the intercept on the x axis ( x = 25 days).
Answer:
Original number 26.
Step-by-step explanation:
xy - two-digit number
1) x + y = 8
2) Original two-digit number can be written as
10*x + y
3) If the digits interchanged yx,
then the new number can be written as
10*y + x
4) Double the original number is
2*(10*x + y)
5) New number is 10 more than double the original number
(10*y + x) - (2*(10*x + y)) = 10
6) Now we have the system of 2 equations:
x + y = 8
(10*y + x) - (2*(10*x + y)) = 10 -----> 10y + x - (20x + 2y) = 10 ---> 8y - 19x = 10
x = 8 - y
8y - 19(8 - y) = 10
8y - 152 +19y = 10
27y = 162
y = 6
x = 8 - y = 8 - 6 = 2
x = 2
So, x =2, y = 6.
Original number 26.
Check:
Original number 26.
New number 62.
Double of the original number = 2*26= 52.
New number is 10 more than double the original number :
62 - 52 = 10 True
