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erik [133]
2 years ago
8

What is the answer to 7(n+4)=21

Mathematics
2 answers:
ICE Princess25 [194]2 years ago
6 0

Answer:

n=-1

Step-by-step explanation:

distribute the 7 to n+4 to get 7n + 28 = 21. subtract 28 from both sides to get 7n = -7. divide both sides by 7 to get n=-1

you could also divide everything by 7 at the beginning to get n+4=3, then subtract 4 from both sides to get n=-1

serious [3.7K]2 years ago
4 0

Hey there!

7(n + 4) = 21

7(n) + 7(4) = 21

7n + 28 = 21

SUBTRACT 28 to BOTH SIDES

7n + 28 - 28 = 21 - 28

CANCEL out: 28 - 28 because it gives you 0

KEEP: 21 - 28 because it helps solve for the n-value

NEW EQUATION: 7n = 21 - 28

SIMPLIFY IT

7n = -7

DIVIDE 7 to BOTH SIDES

7n/7 = -7/7

CANCEL out: 7/7 because that gives you 1

KEEP: -7/7 because it gives you the value of the n-value

NEW EQUATION: n = -7/7

SIMPLIFY IT!

n = -1

Therefore, your answer should be: n = -1

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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In choosing this year 327 voted musical and 115 voted drama. How many more students voted musical than drama
Lapatulllka [165]

Answer:

212 more student voted musical than drama .

Step-by-step explanation:

As given

In choosing this year 327 voted musical and 115 voted drama.

More students voted musical than drama = Total students voted for musical - Students voted for drama .

Putting values in the above

More students voted musical than drama = 327- 115

                                                                      = 212

Therefore 212 more student voted musical than drama .

5 0
3 years ago
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Cerrena [4.2K]

Step-by-step explanation:

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Help with 5b please . thank you.​
Allushta [10]

Answer:

See explanation

Step-by-step explanation:

We are given f(x)=ln(1+x)-x+(1/2)x^2.

We are first ask to differentiate this.

We will need chain rule for first term and power rule for all three terms.

f'(x)=(1+x)'/(1+x)-(1)+(1/2)×2x

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We are then ask to prove if x is positive then f is positive.

I'm thinking they want us to use the derivative part in our answer.

Let's look at the critical numbers.

f' is undefined at x=-1 and it also makes f undefined.

Let's see if we can find when expression is 0.

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A fraction can only be zero when it's numerator is.

Simplify numerator equal 0:

x^2=0

This happens at x=0.

This means the expression,f, is increasing or decreasing after x=0. Let's found out what's happening there. f'(1)=1/(1+1)-(1)+1=1/2 which means after x=0, f is increasing since f'>0 after x=0.

So we should see increasing values of f when we up the value for x after 0.

Plugging in 0 gives: f(0)=ln(1+0)-0+(1/2)0^2=0.

So any value f, after this x=0, should be higher than 0 since f(0)=0 and f' told us f in increasing after x equals 0.

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2 years ago
Larissa is measuring fabric to make a homecoming banner. She knows that the fabric is 1 and 1/2 yard wide. If she wants her bann
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You synthetic division to find P(3) for p(x)=x^4-6x^3-4x^2-6x-2
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By the polynomial remainder theorem, the remainder upon dividing p(x) by x-3 will be the value of p(3).

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which means p(3)=-137.
5 0
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