We have been given that the water usage at a car wash is modeled by the equation , where W is the amount of water in cubic feet and x is the number of hours the car wash is open.
The amount of decrease in water used is modeled by , where D is the amount of water in cubic feet and x is time in hours.
The function C(x) will be difference of W(x) and D(x) that is .
Upon substituting both function values in above formula, we will get:
Let us remove parenthesis.
Combine like terms.
Therefore, the function represents the water used by the car wash on a shorter day and option A is the correct choice.
Answer:
a
Step-by-step explanation:
Answer:
a. 1 =ST; 20 = RS;5 = x
b. 40 = ST; 20 = RS; 12 = x
c.17 = RT;6 = RS; 7 = x
d. 34 = RT; 15 = RS; 6 = x
Step-by-step explanation:
___
Since the exercise ONLY tells you that PointSis inbetweenRT,use the SegmentAdditionPostulate for all exercises:
d.8x - 14 = 19 + [4x - 9]
8x - 14 = 10+ 4x(Combine like-terms)
- 8x-8x
___________________
-14 = 10 - 4x
-10-10
_____________
-24 = -4x
________
-4-4
6 = x[Plug this back into the equations above to get these measures: 34 = RT; 15 =RS]
c.x+ 10 = 11 + [2x - 8]
x+10 = 3+ 2x(Combine like-terms)
-2x-2x
________________
-x + 10 = 3
- 10-10
___________
-x= -7
____
-1-1
x = 7 [Plug this back into the equations above to get these measures: 17 = RT; 6 = RS]
b.60 = [4x - 8] + [3x - 16]
60 = 7x-24(Combine like-terms)
+24+ 24
______________
84 = 7x
______
77
12 = x[Plug this back into the equations above to get these measures: 40 = ST; 20 = RS]
a.21 = [x - 4] + [2x + 10]
21 = 3x+6(Combine like-terms)
-6- 6
______________
15 = 3x
______
33
5 = x[Plug this back into the equations above to get these measures: 1 = ST; 20 = RS]
I am delighted to assist you anytime.
To solve for x and find the lengths RS, ST, and RT, we can set up an equation using the given information. Using the equation RS + ST + RT = 0 and substituting the given values, we can simplify the equation to find x. With the value of x, we can then find the lengths RS, ST, and RT. Therefore, RS = -8, ST = -13, and RT = 21.
To write an equation in terms of x, we need to set up an equation using the given information RS = 2x + 10, ST = x - 4, and RT = 21.
We can start by writing the equation RS + ST + RT = 0.
Substituting the given values, we get (2x + 10) + (x - 4) + 21 = 0. Simplifying this equation, we have 3x + 27 = 0.
Solving for x, we subtract 27 from both sides and divide by 3, to get x = -9.
With the value of x, we can now find the lengths RS, ST, and RT. RS = 2(-9) + 10 = -8, ST = (-9) - 4 = -13, and RT = 21.
Therefore, RS = -8, ST = -13, and RT = 21.
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75 = x*300
75 = 300x
x = 300/75
x= .25
I hope that's help !
Answer:
can u please try uploading a picture sorry but the question is hard to read maybe I can help u
Step-by-step explanation:
*The answer is 8* because, If you divide 56/7 you get 8. If you have any more question like that always do the inverse operation. Example: 6 x ___= 42 the inverse or opposite operation is division because division is the opposite of multiplication like adding is to subtracting. So we would do 42/6 (Inverse operation) and we get 7. So, the answer to the question is 6 x *7* = 42. Hope this trick will help! (Subtraction & Division don't work the same! Only, Addition and Multiplication does!)
~ Helping Hand.
Hi Mitchell
-1*8+12
(-1*8)+12
-8+12=4
I hope that's help :0