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Levart [38]
3 years ago
15

A) let f(x) = x + |2x − 5|. find all solutions to the equation f(x) = 4. (enter your answers as a comma-separated list. if an an

swer does not exist, enter dne.)
Mathematics
1 answer:
9966 [12]3 years ago
6 0
F(x) = x + |2x - 5|
f(4) = 4 + |2(4) - 5|
f(4) = 4 + 3
f(4) = 7

Answer: 7
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Butter kruse made 522 glaze donuts and 323 chocolate covered donuts. They put the donuts in boxes. Each box holds 12 donuts. How
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Answer:

71 boxes

Step-by-step explanation:

1. Add 522 (# of glaze donuts) and 323(# of chocolate covered donuts).....845(# of total donuts)

2. Divide 845 by 12(the # of donuts each box could hold)....70.41666(repeating)

3. As you can't have a 0.41666 of a box, you round up 70.4166666 to 71.

71*12=852 70*12=840

Even though 71 boxes is more than enough to hold 845 donuts, there is simply no other choice, as there is no smaller box that holds less than 12 donuts.

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Tell whether the set of ordered pairs {(3, −6), (4, −9), (5, −12), (6, −15)} satisfies a linear function. Explain.
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Answer:

Yes, the x value is increasing by one every time, and the y value is decreasing by 3 every time.

Step-by-step explanation:

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Light travels at 186,000 miles per second. Light takes about 11⁄3 seconds to travel from the earth to the moon. Calculate the di
san4es73 [151]

Answer:

682,000 miles

Step-by-step explanation:

Using the ratio of 186,000 miles per second:

\frac{miles}{second}=\frac{186,000}{1}

we can set up a proportion (equivalent ratios) to find the distance, in miles, from the earth to the moon

\frac{186,000}{1}=\frac{x}{\frac{11}{3}} where 'x' is the number of miles between the earth and the moon

Cross-multiply:  x = 186,000*\frac{11}{3}

Solve for x = 682,000 miles

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