Let f be the height of the fir trees
Let p be the height of the pine trees
We know from the problem that
f + p = 21 and 4f = 24 + p
rearrange the 2nd equation to get p = 4f - 24 and substitute into the other equation
so...
f + 4f - 24 = 21
5f - 24 = 21
5f = 45
f = 9 - height of the fir tree
substitute back into the 1st equation
9 + p = 21
p = 12 - height of the pine tree
<h2>
Answer:</h2>
# short sleeved shirts sold is 50
# long sleeved shirts sold 35
<h2>
Step-by-step explanation:</h2>
First, you need to set up the equation.
(5x)+10*(85-x)=600
5x+850-10x=600
-5x+850=600
-5x=600-850
-5x=-250
x=50
After you solve the equation, you know, that 50 short sleeve t-shirts were sold. Now, you need to find out how many long sleeved t-shirts were sold. 85-50=35. Now you know, that there were 35 long sleeved t-shirt sold.
You can now check your answers. 50*5 + 35*10=600
That is correct.
I hoped I helped you. I will be really glad, if you mark my answer with brainliest.
Answer:
Step-by-step explanation:
<u>The Inverse of a Function</u>
The procedure to find the inverse of the function is:
* Write the function as a two-variable equation:
* Solve the equation for x.
Multiply by 3x-1
Divide by y:
Sum 1:
Operate the right side:
Divide by 3:
* Swap the variables:
Write back into function form:
Answer:
Step-by-step explanation:
We have given:
x^4-2/x+1
Put x+1 = 0
x= 0-1
x= -1
-1 | 1 0 0 0 -2
| -1 1 -1 1
_______________
1 -1 1 -1 -1
Thus it makes the expression:
x^3-x^2+x-1 - 1/x+1
You can further confirm this expression by solving the expression:
(x4 − 2) ÷ (x + 1).
x^4 - 1 -1/x+1
x^4-1/x+1 - 1/x+1
(x^2-1) (x^2+1)/x+1 - 1/x+1
(x-1)(x+1) (x^2+1)/x+1 - 1/x+1
x+1 n the numerator will be cancelled out by x+1 in the denominator.
(x-1) (x^2+1) - 1/x+1
Multiply (x^2+1) by x-1
x(x^2+1) -1(x^2+1) - 1/x+1
x^3+x-x^2-1 - 1/x+1
x^3-x^2+x-1 - 1/x+1 ....
