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Pachacha [2.7K]
3 years ago
12

Solve for n. –2(n + 2) + 6 = 8 n =

Mathematics
2 answers:
dezoksy [38]3 years ago
7 0

Answer:

n = <em><u>-3</u></em>

Step-by-step explanation:

We have the equation –2(n + 2) + 6 = 8. First, we simplify it:

–2(n + 2) + 6 = 8

–2(n + 2) = -2n + (-4) = -2n - 4

So now we have:

-2n - 4 + 6 = 8

We can subtract 6 from both sides of the equation to get:

-2n - 4 = 2

We can also add 4 to both sides to get:

-2n = 6

Divide both sides by 2 to get:

-n = 3

Multiply both sides by -1 to get:

n = -3

Sphinxa [80]3 years ago
3 0

Answer:

<h2>n = <u>-3</u></h2>

Step-by-step explanation:

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Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who
zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men  standing to the top of the clock tower.

#Taking the right triangle ACD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5

#Taking the right triangle ABD:

\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5

#We equate the two yo solve for x and y;

(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939

Hence, John's distance from the tower's base is 18.7939 m

8 0
3 years ago
If f(x) = 3x2 + 1 and g(x) = 1 - X, what is the value of (f – 9)(2)?
bezimeni [28]
The answer is 36 because you have to multiply it and divide getting your the answer.
4 0
3 years ago
Read 2 more answers
Which of the following equals 3x2−10x−83x2-10x-8 when factored completely? 
xeze [42]
If it was typo and the original equation is 3x^2 - 10x - 8, then the answer would be (<span><span>3x+2)(x-4), but if not then IDK.

Hope this helps!</span></span>
4 0
3 years ago
7 line tshirt company manufactures t-shirts and sells them online.The company has a model where the cost C, in dollars to make x
bonufazy [111]

Answer:

The company must sell at least 2 shirts to break even.

Step-by-step explanation:

Cost:

The cost is given by the following equation:

C = \frac{40}{30x+20} + 20 = \frac{4x}{3} + 20

Revenue:

The revenue is given by the following equation:

R = 15x

How many t shirts must the company sell to break even?

Breakeven point is when the revenue is the same as the costs. So

\frac{4x}{3} + 20 = 15x

15x - \frac{4x}{3} = 20

\frac{45x}{3} - \frac{4x}{3} = 20

Multiplying everything by 3

45x - 4x = 60

41x = 60

x = \frac{60}{41} = 1,...

Since you cant make a decimal value of shirts

The company must sell at least 2 shirts to break even.

[

7 0
3 years ago
A bank offers a 3% annual interest rate for a savings account. Hannah puts $6,000 into an account to save for college. How much
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(103/100)×6000
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