Answer:
- 60 percent of a number subtracted from 25
- 4 more than 2/3 of a number
Step-by-step explanation:
"60 percent of a number subtracted from 25" is a phrase that translates into 0.6 for 60% and "of a number" as 0.6x. Take this number and its subtracted from 25: 25-0.6x.
"4 more than two thirds of a number" is a phrase that translates into addition for "4 more" and multiplication with "two thirds of a number". This means 4 + 2/3y.
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
Where:
m: It is the slope of the line
b: It is the cut-off point with the y axis.
According to the data of the statement we have the following points:
We found the slope:
Thus, the equation is of the form:
We substitute one of the points and find b:
Finally, the equation is:
Answer:
This is an exponential equation. We will solve in the following way. I do not have special symbols, functions and factors, so I work in this way
2 on (2x) - 5 2 on x + 4=0 =>. (2 on x)2 - 5 2 on x + 4=0 We will replace expression ( 2 on x) with variable t => 2 on x=t =. t2-5t+4=0 => This is quadratic equation and I solve this in the folowing way => t2-4t-t+4=0 => t(t-4) - (t-4)=0 => (t-4) (t-1)=0 => we conclude t-4=0 or t-1=0 => t'=4 and t"=1 now we will return t' => 2 on x' = 4 => 2 on x' = 2 on 2 => x'=2 we do the same with t" => 2 on x" = 1 => 2 on x' = 2 on 0 => x" = 0 ( we know that every number on 0 gives 1). Check 1: 2 on (2*2)-5*2 on 2 +4=0 => 2 on 4 - 5 * 4+4=0 => 16-20+4=0 =. 0=0 Identity proving solution.
Check 2: 2 on (2*0) - 5* 2 on 0 + 4=0 => 2 on 0 - 5 * 1 + 4=0 =>
1-5+4=0 => 0=0 Identity provin solution.
It's both. Look at the gradients between one point then the one after it. It stays constant from one to the next. (Gradient is 2 by the way: (5-3)/(2-1))
Answer:
1a 3800, 1b 6300 1c 5100
2a 2630, 2b 2600, 2c 3000
3a 4000, 3b 3000, 3c 8000
