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jek_recluse [69]
4 years ago
7

If f(x) = x + 8 and g(x) = -4x - 3, find (f+ g)(x).​

Mathematics
1 answer:
anzhelika [568]4 years ago
5 0

Answer:

-3x + 5.

Step-by-step explanation:

(f + g)(x) = x + 8 - 4x - 3

= -3x + 5.

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A tap can fill a bucket in 6 hours. After half the bucket is filled, three more similar taps are opened. What is the total time
777dan777 [17]

The total time taken to fill the bucket completely is 3 hours 45 minutes

The time taken to fill the bucket by one tap= 6 hours

Then the time take by one tap to fill half of the bucket= 3 hours

Part filled by one tap in one hour =\frac{1}{6}

Part filled by four taps in one hour =4(\frac{1}{6})=\frac{4}{6}=\frac{2}{3}

Given, that after half the bucket is filled, three more similar taps are opened

Then the remaining part = 1-\frac{1}{2}=\frac{1}{2}

Time taken to fill the half of the bucket= (\frac{1}{2} )(\frac{2}{3})=\frac{3}{4} hours

Convert the hours to minutes

(\frac{3}{4})60=45 minutes

Therefore,

Total time taken to fill the bucket= The time taken by one tap to fill half of the bucket+  Time taken by 4 taps to fill the half of the bucket

=3 hours+ 45 minutes

=3 hours 45 minutes

Hence, The total time taken to fill the bucket completely is 3 hours 45 minutes

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8 0
2 years ago
Which of these expressions are equivalent to 7 1/2
jekas [21]

Answer:

it's 7.5

Step-by-step explanation:

1/2 as a decimal is 0.5

5 0
2 years ago
Draw a number line fom -5 to +5 and mark all positive numbers
Gemiola [76]

Answer:

Step-by-step explanation:

i cant draw a number line but we know that integers above 1 are positive. So 1,2,3,4, and 5 are positive and marked

8 0
3 years ago
Read 2 more answers
You and a friend are driving go-karts on two different tracks. As you drive on a straight section heading east, your friend pass
yKpoI14uk [10]
No they cross each other like a highway. You are on the underpass and your friend passes over you. As in, they are crossing a bridge & you are below them.
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What is the solution to the equation? 78=m32
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Step-by-step explanation:

78 = m32

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