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Pani-rosa [81]
4 years ago
9

Let f(x) = twenty four over the quantity of 3 x minus two.Find f(−2). (1 point) Group of answer choices −6 −3 3 6

Mathematics
2 answers:
S_A_V [24]4 years ago
8 0

Answer:

6

Step-by-step explanation:

<u>   24   </u> =

 3x-2

<u>    24     </u>=

 3(2)-2

<u>    24    </u>=

  6-2

<u>   24   </u>=

   4

6

Anastasy [175]4 years ago
6 0

Answer:

the answer is 6

Step-by-step explanation:

beccause i took the quiz just now lol

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If 2 parallel lines are cut by a transversal, then the alternate exterior angles are congruent. If 2 parallel lines are cut by a transversal, then the same side interior angles are supplementary. A line that intersects 2 coplanar lines at 2 different points.
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796 sixth- eighth graders at CMS passed all classes for Q1 and get to be in Study Hall. If 80% of the CMS students are in Study
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Find the slope pls helppppp
AlladinOne [14]

Answer:

1/4=slope

-8=y intercept

Step-by-step explanation:

the equation in slope intercept form would be y=1/4x-8

5 0
3 years ago
Read 2 more answers
Find the values of x and y. Write your answers in simplest form
SCORPION-xisa [38]

Answer:

x =6

y=6\cdot \sqrt{2}

Step-by-step explanation:

<u>Trigonometric Ratios </u>

The ratios of the sides of a right triangle are called trigonometric ratios. There are six trigonometric ratios: sine, cosine, tangent, cosecant, secant, and cotangent.

The longest side of the right triangle is called the hypotenuse and the other two sides are the legs.

Choosing any of the acute angles as a reference, it has an adjacent side and an opposite side. The trigonometric ratios are defined upon those sides.

The image shows a right triangle where the angle of 45° has x as the opposite leg, 6 as the adjacent leg, and y as the hypotenuse. The trigonometric ratio that applies here is the cosine ratio, defined as:

\displaystyle \cos\theta=\frac{\text{adjacent leg}}{\text{hypotenuse}}

\displaystyle \cos 45^\circ=\frac{6}{y}

Solving for y:

\displaystyle y=\frac{6}{\cos 45^\circ}

\cos 45^\circ=\frac{\sqrt{2}}{2}=\frac{1}{\sqrt{2}}

Substituting:

\displaystyle y=\frac{6}{\frac{1}{\sqrt{2}}}

y=6\cdot \sqrt{2}

Now use the tangent ratio:

\displaystyle \tan\theta=\frac{\text{opposite leg}}{\text{adjacent leg}}

\displaystyle \tan 45^\circ=\frac{x}{6}

Solving for x:

x=6\cdot\tan 45^\circ

\tan 45^\circ=1

Substituting:

x=6\cdot 1

x =6

Answer:

x =6

y=6\cdot \sqrt{2}

6 0
3 years ago
A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c
Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

\dfrac{120000}{20000}\\\\=\$6

Margin contributed by 2000 guests would be

1.50\times 20000\\\\=\$3000

So, Revenue function would be

6x+3000

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

\dfrac{90000}{20000}\\\\=\$4.5

So, Cost function would be

4.5x+50000

Breakeven point would be

Cost function = Revenue function

6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333

Hence, Restaurant's monthly breakeven point in sales is $31333.

3 0
4 years ago
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