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3 years ago

If you add Natalie's age and Fred's age, the result is 42. If you add Fred's age to 3 times

Mathematics

1 answer:

Alla [95]3 years ago

5 0

Answer:

N+F=42 & F+3N=70 System Solved: Natalie is 14 and Fred is 28

Step-by-step explanation:

Using variables N=natalies age and F=Freds age

N+F=42 ----> N=42-F (take this and plug it into the other equation)

F+3N=70 so F+3(42-F)=70 [simplify] F+126-3F=70 [further simplify]

-2F=-56 [divide -56 by -2] F=28 [then plug this number into the orig. equation]

So N+28=42 or N=14.

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2 1/2 divided by 3/2

Anni [7]

Answer:

1.6666666666

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4 years ago

How does the graph of g(x) = (x + 4)3 − 6 compare to the parent function f(x) = x3?

Solnce55 [7]

Answer:

g(x) is shifted 6 units to the left

Step-by-step explanation:

Lets try to simplify g(x) since has a few extra terms:

g(x)= 3x+12-6=3x+6

Now it is easier to compare the two functions.

We can tell that they both have the same slope, both differs on a extra term

This term tell us that the g(x) is shifted to the left (it is positive 6)

Another approach to the solution is to plot the two functions together by obtaining the crossing points with the 'y' axis and with the 'x' axis

the result is shown in the attached picture

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3 years ago

Read 2 more answers

Suppose a computer virus begins by infecting 8 computers in the first hour after it is released. Each hour after that, each newl

Mila [183]

$y=8^x
\\x=1\Rightarrow y=8^1=8
\\x=2\Rightarrow y=8^2=64
\\x=3\Rightarrow y=8^3=512
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3 0

3 years ago

Nine more than four times a number is the same as one less than twice the number find the number

klio [65]

4x + 9 = 2x - 1
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8 0

3 years ago

A certain substance has a half-life of 4 minutes. A fresh sample of the substance weighing 90 mg was obtained. After how many mi

sveticcg [70]

We are to find the time (number of minutes) is would take for 23 mg of the substance to be remaining.

The formula for time is written as:

t = [t1/2 x In(Nt/No)] / In 2

where:

t1/2 = Half life = 4 minutes

No = Initial quantity of the sample = 90 mg

Nt = Amount of the sample left = 23 mg

t = time elapsed = ?

Hence,

t = [4 x In (23/90)] / -In 2

t = 7.8731645610906 minutes

Approximately to the nearest hundredth = 7.87 minutes

Therefore, there will be 23mg of substance remaining after 7.87 minutes.

To learn more, visit the link below:

brainly.com/question/16624562

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3 years ago