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barxatty [35]
1 year ago
8

The rule below shows how Mrs. Rousseau's long-distance phone company computes her monthly bill. Which answer expresses that rule

in the form of an equation? Multiply the number of minutes Mrs. Rousseau spent on long-distance calls by $0.42, the long-distance rate. Then add $24, the flat monthly charge.
Mathematics
1 answer:
Ludmilka [50]1 year ago
4 0
So then n=number of long distance calls, then add the flat rate

long distance cost=number of calls times cost per clll or n times 0.42 or 0.42n
the flat rate is 24

so total is c so
c=24+0.42n
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Four friends are playing a game. They randomly choose a handful of marbles from a bag. The player with the highest ratio of blue
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We are given the number of Blue and Purple Marbles for each of the four friends. So first we have to find the ratio of blue marbles to purple marbles for each of them.

A) Rosa

Number of blue marbles = 10

Number of purple marbles = 12

Ratio of blue to purple marbles = \frac{10}{12}=0.833

B) Chi

Number of blue marbles = 5

Number of purple marbles = 6

Ratio of blue to purple marbles = \frac{5}{6}=0.833

C) Alberto

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Ratio of blue to purple marbles = \frac{5}{12}=0.417

D) Pedro

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Ratio of blue to purple marbles = \frac{10}{6}=1.667

From the above calculations we can see that Pedro has the highest value of ratio for blue marbles to purple marbles. Also we can see Pedro is the only one for whom the number of blue marbles is more than the number of purple marbles. So this confirms that our calculation is correct.

Thus, the player which gets to go first is Pedro.

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Tucker rode his scooter 10 miles. It took him 55 minutes. How fast was he going? [Type your answer as a decimal rounded to the n
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It would have taken you 5:30 for each mile. 55/10 is 5.5 thats 5 and a half, half a minute is 30 seconds. so 5 minutes and 30 seconds
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If h(x)=3x-5 and g(x) =2x^2-7x, find (g•h)(x)
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Answer:

The answer is 25.67and then you multiply by8 and get you 205.36

Step-by-step explanation:

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He sells each fish for $1.25, and he sells 24 fishes.

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hope this helps

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If a(x) = 3x + 1 and b (x) = StartRoot x minus 4 EndRoot, what is the domain of (b circle a) (x)?
kiruha [24]

Answer:

[1,\infty)

Step-by-step explanation:

b(x)=\sqrt{x-4}

a(x)=3x+1

Since we want to know the domain of (b \circ a)(x), let's first consider the domain of the inside function, that is, that of a(x)=3x+1. Every polynomial function has domain all real numbers.

So we can plug anything for function a and get a number back.

Now the other function is going to be worrisome because it has a square root. You cannot take square root of negative numbers if you are only considering real numbers which that is the case with most texts.

Let's find (b \circ a)(x) and simplify now.

(b \circ a)(x)

b(a(x))

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Now again we can only square root positive or zero numbers so we want 3x-3 \ge 0.

Let's solve this to find the domain of (b \circ a)(x).

3x-3 \ge 0

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3x \ge 3

Divide both sides by 3:

x \ge 1

So we want x to be a number greater than or equal to 1.

The option that says this is [1,\infty)

-------------------------------

Give an example why option A fails:

A number in the given set is -2.

a(x)=3x+1

b(x)=\sqrt{x-4}

So a(-2)=3(-2)+1=-6+1=-5 and b(-5)=\sqrt{-5-4}=\sqrt{-9} \text{ which is not real}.

Give an example why option B fails:

A number in the given set is 0.

a(x)=3x+1

b(x)=\sqrt{x-4}

So a(0)=3(0)+1=0+1=1 and b(1)=\sqrt{1-4}=\sqrt{-3} \text{ which is not real}.

Give an example why option D fails:

While all the numbers in set D work, there are more numbers outside that range of numbers that also work.

A number not in the given set that works is 3.

a(x)=3x+1

b(x)=\sqrt{x-4}

So a(3)=3(3)+1=9+1=10 and b(1)=\sqrt{10-4}=\sqrt{6} \text{ which is real}.

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