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Lina20 [59]
4 years ago
11

Arthur is comparing the prices of two car rental companies. Company A charges $22 per day and an additional $5 as service charge

s. Company B charges $20 per day and an additional $16 as service charges. Part A: Write an equation to represent each company's total charges for renting a car for a certain number of days. For both equations (one for Company A and one for Company B), define the variable used. (4 points) Part B: Which company would charge less for renting a car for 9 days? Justify your answer. (3 points) Part C: How much money is saved by using the services of Company B instead of Company A to rent a car for 15 days? (3 points)
Mathematics
1 answer:
photoshop1234 [79]4 years ago
4 0
Part A:
Company A equation: 22d+5=c
Company B equation: 20d+16=c
"d" represents the number of days
"c" represents the total cost
Part B:
If you rented a car from Company B for 9 days it would be less than if you rented a car from Company A for 9 days. If you plug 9 in for "d" in both equations, Company A's total cost would be $203, while Company B's would be $196.
Part C:
You would save $19.
Hope this helps!
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The point P(5,1) lies on the curve y=5x. If Q is the point (x,5x), find the slope of the secant line PQ for the following values
sveta [45]

Answer:

5

Step-by-step explanation:

We have been given that the point P(1,5) lies on the curve y=5x. Q is the point (x,5x). We are asked to find the slope of the secant line PQ for x=5.1.

Let us find y-coordinate corresponding to x=5.1 for point P as:

y=5(5.1)=25.5

Now, we will use slope formula to find required slope.

m=\frac{y_2-y_1}{x_2-x_1}  

Let point (1,5)=(x_1,y_1) and point (5.1,25.5)=(x_2,y_2).

Using these points in slope formula, we will get:

m_{PQ}=\frac{25.5-5}{5.1-1}=\frac{20.5}{4.1}=5

Therefore, the slope of the line PQ is 5.  

8 0
4 years ago
15(d + 7) = 4(d - 4) + 11d has how many solutions?
svp [43]

15(d + 7) = 4(d - 4) + 11d\\\\15d+105=4d-16+11d\\\\15d-4d-11d=-16-105\\\\0=-121

no solution

4 0
4 years ago
3(x-1) - 8 = 4(1+x) +5. Too hard, i keep getting confused
svet-max [94.6K]

3(x-1)-8=4(1+x)+5  

One solution was found :

                  x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-1)-8-(4*(1+x)+5)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3•(x-1))-8)-(4•(x+1)+5)  = 0  

Step  2  :

Equation at the end of step  2  :

 (3 • (x - 1) -  8) -  (4x + 9)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 20  =   -1 • (x + 20)  

Equation at the end of step  4  :

 -x - 20  = 0  

Step  5  :

Solving a Single Variable Equation :

5.1      Solve  :    -x-20 = 0  

Add  20  to both sides of the equation :  

                     -x = 20

Multiply both sides of the equation by (-1) :  x = -20

One solution was found :

                  x = -20

hope this is wht u wanted

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The bakers at Healthy Bakery can make 270 bagels in 5 hours. How many bagels can they bake in 18 hours?
alekssr [168]
972 bagels the third one
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When Plotting the point,(-4,3), which describes the movement along The x-axis and y-axis in the correct order
SpyIntel [72]
B because if x is negative you always move to the left when plotting a point and if the y is positive you’ll always move up the y-axis to plot the point
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