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lianna [129]
2 years ago
9

The cost to mail a package is $8 for the first 4 pounds and 25 cents for each additional ounce. Which of the following functions

represents the cost to mail a package if x is the number of ounces over 4 pounds?
f( x) = 32 + 0.25 x
f( x) = 0.25( x + 4)
f( x) = 0.25+ 8 x
f( x) = 8 + 0.25 x
Mathematics
1 answer:
Rina8888 [55]2 years ago
3 0

Answer:

f(x) = 8 + 0.25x

Step-by-step explanation:

The minimum cost is $8, for up to 4 pounds.

The added cost is ($0.25/oz)(x), where x is trhe ounces over 4 pounds

The total cost is the sum of these two:

f(x) = 8 + 0.25x

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seven different gifts are to be distributed among 10 children. How many distinct results are possible if no child is to receive
Alik [6]

Answer:

120 distinct results are possible if no child is to receive more than one gifts.

Step-by-step explanation:

When the order is not important, we use the combination formula:

C_{n,x} is the number of different combinatios of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

The order is said to be not important if for example, John receiving the Buffalo Bills jersey and then Laura receiving the Cleveland Browns jersey is the same as Laura receiving the Cleveland Browns jersey before John receives the Buffalo Bills jersey.

In this problem, we have that:

Combinations of 7 from a set of 10 elements. So

C_{n,x} = \frac{n!}{x!(n-x)!}

C_{10,7} = \frac{10!}{7!(3)!} = 120

120 distinct results are possible if no child is to receive more than one gifts.

6 0
3 years ago
F(x) = -2x + 9, find x if f(x) = 23
JulijaS [17]

Answer:

x = -7

Step-by-step explanation:

f(x) = -2x + 9

f(x) = 23

therefore, f(x) =

-2x + 9 = 23

     -2x = 23 - 9

     -2x = 14

       -x = 14 ÷ 2

       -x = 7

        x = -7

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3 years ago
A trapezoid has a 60-degree angle and a 45-degree angle. What are the other angles?
pentagon [3]
A trapezoid is a quadrilateral which means the sum of the angles should be equal to 360 degrees. The other angles therefore should have the sum of 360 - 60 - 45 = 255 degrees. Since we do not have the figure it would be hard to specify the measure of each angle.
8 0
3 years ago
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Which equation in slope intercept represents the line that goes through the points (-1, -5) and (1, -1)
Svetllana [295]

Answer:

Step-by-step explanation:

First of all, I drawed this graph and uploaded it for you...

We know that a line equation is y = ax + b and I want to know which equation goes through the points (-1, -5) and (1, -1).

Let's put these points in the algebreac expression of line to find the correct equation:

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solving this system of equation by elimination, we find 2b = -6 and b = -3.

Then, -5 = -a + (-3)

-a = -5 + 3

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Finally, our line equation is y = 2x - 3

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Answer:

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