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s2008m [1.1K]
3 years ago
13

You rent 2 DVDs and 1 video game for $12. The following week, your friend rents 4 DVDs and two video games for $24. Which of the

following statements apply? One solution, no solution, infinitely many solutions, the video game cost more than dvd rentals or you cannot determine the costs of dvd or video game rentals.
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0

There are inifinite solutions because they are the same equation

2D + 1G = 12

and

4D + 2G = 24 (divide by 2) 2D + G = 12

2D + 1G = 12 is the same as 2D + 1G = 12


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If f(x)= x/2 -2 and g(x) = 2x2 +x-3, find (f +g)(x).
Molodets [167]

Answer:

B

Step-by-step explanation:

(f+g)(x) means add f(x) and g(x) together:

(x/2)-2 + 2x^2 +x -3

collect all the like terms:

2x^2

(x/2) + x = 3/2x (explanation below)

-2 -3 = -5

x/2 + x can be turned to 1x/2 + 2/2x (2/2 = 1, so when you simplify it to 1x, it is still x)

6 0
3 years ago
If the fraction (352/x-10) is equivalent to -22, find the value of x.
Tcecarenko [31]

Answer:

The value of x is -6

Step-by-step explanation:

Let us equate the fraction by its equivalent

∵ \frac{352}{x-10} = -22

→ Multiply both sides by (x - 10) to cancel the denominator of the left side

∴  \frac{352}{x-10}  × (x - 10) = -22 × (x - 10)

∴ 352 = -22(x - 10)

→ Simplify the right side by multiplying -22 by the bracket (x - 10)

∵ 352 = -22(x) - 22(-10)

∴ 352 = -22x + 220

→ Add 22x to both sides

∵ 22x + 352 = -22x + 22x + 220

∴ 22x + 352 = 220

→ Subtract 352 from both sides

∴ 22x + 352 - 352 = 220 - 352

∴ 22x = - 132

→ Divide both sides by 22 to find x

∴ \frac{22x}{22}=-\frac{132}{22}

∴ x = -6

∴ The value of x is -6

6 0
3 years ago
Suppose a new car is worth $30,000. You can use the function y=30,000(0.85)^x to estimate the car’s value after x years. What is
ANEK [815]
The decay factor here is 0.85, and it means the car’s value changes by 85% every year, or goes down by 15% every year.



The formula for exponential decay is y = a(1 - b)^x

y is the final amount.

a is the initial amount, which is $30,000 in this case.

(1 - b) is the decay factor, or the number the original value gets multiplied by each year, which is 0.85 here.

b is the percent decrease in decimal form. In this case, we can find it using the formula (1 - b) = 0.85. We soon find that b = 0.15, or 15%.

x is the number of years.
5 0
3 years ago
$8.50 yoga mat; 75% markup
Alenkinab [10]
The answer is:
14.875
Hope this helps
3 0
3 years ago
The resale value of a certain car when purchased new is $20,000. The car is expected to lose 10% of its value each year.
UNO [17]

Answer:

The red graph. y intercept is at 20k and is decreasing

3 0
3 years ago
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