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Blizzard [7]
3 years ago
14

What is the equation,in point slope form,for a line that goes through (8,1) and has a slope of -5/6

Mathematics
2 answers:
Lilit [14]3 years ago
5 0

Answer:

<em>y - 1 = -5/6(x - 8)</em>

Step-by-step explanation:

Point-slope form:

y - y1 - m(x - x1)

y - 1 = -5/6(x - 8)

Masja [62]3 years ago
3 0

Report this because i got it wrong lol


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A caterer provides a conference banquet for a price of $40 per person for 20 or fewer people but will decrease the price by $1 p
mel-nik [20]

Answer:

The maximum revenue is $900, obtained with 30 people

Step-by-step explanation:

Naturally, the answer should be a number equal or higher than 20, because up to 20 persons, each one pays the same. Lets define a revenue function for x greater than or equal to 20.

f(x) = x*(40-(x-20)) = -x²+60x

Note that f multiplies the number of persons by how much would they pay (here, assuming that there are more than 20).

f is quadratic with negative main coefficient and its maximum value will be reached at the vertex.

The value of the x coordinate of the vertex is -b/2a = -60/-2 = 30

for x = 30, f(x) = 30*(40-(30-20))=30*30=900

So the maximum revenue is $900.

7 0
3 years ago
What is the decimal form of -4 7/8
svetlana [45]
-4\frac{7}{8}=-4\frac{7\cdot125}{8\cdot125}=-4\frac{875}{1000}=\boxed{-4.875}
4 0
3 years ago
|x+1| = 1/5x+1<br> .......................
Mademuasel [1]

Answer:

x=0, -5/3

Step-by-step explanation:

3 0
3 years ago
What is the solution set to the inequality 5(x – 2)(x + 4) &gt; 0?
olga nikolaevna [1]
5(x-2)(x+4)>0  For this to be true, both parenthetical terms must be both positive or both negative.

x<-4 and x>2

x=(-oo,-4),(2,+oo)


6 0
3 years ago
Read 2 more answers
A rectangular yard measuring 39 ft by 67 ft is bordered (and surrounded) by a fence. Inside, a walk that is 4 ft wide goes all t
Gekata [30.6K]

The area of the walk is 784 square feet

<h3>What is an area?</h3>

Area is the quantity that expresses the extent of a region on the plane or on a curved surface

First, calculate the area of the rectangular yard.

Area = L x W    

where A equals area, L equals length, and W equals width.

According to the stated problem:

A = 39 x 67

A = 2613 square feet          <-------Area of Rectangular yard.

Now, according to the stated problem there is a walk that is 4 feet wide going all the way along the fence (Inside). "

Therefore, we have 8 feet to subtract from each of the values above (39) and (67).

That is 4 feet on each side,

A = L x W

A = 31 x 59

A = 1829 square feet     <----------Area of new rectangle formed by allowing for three foot walk.

Now, subtract the area of the new rectangle formed from the area of the original area. Doing so, will give you the area of the walk, correct?

Original area    =  2613  square feet

New area         =   1829 square feet

Hence, the Area of WALK = 784 square feet

Learn more about  area on: brainly.com/question/22972014

#SPJ1

3 0
1 year ago
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