Answer:
14, 21, and 63
Step-by-step explanation:
we can set the three unknown numbers as x, y, and z
so
x + y + z =98
now we are given that the first (x) is seven less than the second (y)
x = y - 7
the third number (z) is three times the second (y)
z = 3y
since we have an equation for z and x in terms of y, we can plug it into the first equation and solve for y.
(y-7) + y + (3y) =98
y - 7 + y + 3y =98
y + y + 3y =105
5y = 105
y=21
now that we know y, we can plug its value into either the second or the third equation to find x or z (I chose to find z first)
z = 3y
z = 3(21)
z = 63
now we can plug in y to find x
x = y - 7
x = 21 - 7
x = 14
so the three numbers should be 14, 21, and 63
Answer:
x = 5, supplementary
Step-by-step explanation:
6x + 13 + 14x - 33 = 180
20x - 20 = 80
20x = 100
x = 5
Answer:
$206.54
Step-by-step explanation:
Divide the number of officials by the total days pay to get the pay for each official working the race
The exponential functions have the form f(x) = bˣ where b> 0 and b≠0.
Step-by-step explanation:
Exponential function is given in the form of f(x)= bˣ
When working with the inverse of a function, the inputs (x) and outputs(y) exchange their places and the inverse will be the reflection over the identity line y= x
The example of exponential function is the growth of bacteria. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours and it is written as f(x) = 2x.
The exponential function will be bigger than the polynomial and it always have the positive number other than 1 as the base.
The instantaneous rate of change of a quantity with respect to time is proportional to the quantity by itself.