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2 years ago

Find x (4+25) (6x+20) (3x+25)

Mathematics

1 answer:

Paraphin [41]2 years ago

6 0

Answer: 15

Step-by-step explanation:

Opposite angles of a cyclic quadrilateral are supplementary, so:

$3x+25+6x+20=180\\\\9x+45=180\\\\9x=135\\\\x=\boxed{15}$

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3. Find the slope of the line<br> f(x)1/2x+8. Describe how the line slopes.

wariber [46]

Answer:

slope: $\frac{1}{2}$

Step-by-step explanation:

$f(x)=mx+b\\m=slope\\\\f(x)=\frac{1}{2} x+8\\\frac{(rise)}{(run)}=\frac{1}{2}$

the linear line has a positive slope that goes up by 1 unit and right by 2 units

7 0

2 years ago

Mr. Neiland bought 12 tickets to a chili supper and spent a total of $60. He bought a combination of adult tickets for $10 each

Drupady [299]

Answer:

434.60

Step-by-step explanation:

7 0

3 years ago

What is 7/10 - 1/10 in its simplest form

Elenna [48]

3/5 cause you get the lowest common denominator

4 0

2 years ago

Read 2 more answers

What is the equation of the line that is parallel to the line y =1/3 x + 4 and passes through the point (6, 5)?

lianna [129]

Answer:

y = $\frac{1}{3}$ x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{1}{3}$ x + 4 ← is in slope- intercept form

with slope m = $\frac{1}{3}$

Parallel lines have equal slopes , then

y = $\frac{1}{3}$ x + c ← is the partial equation

To find c substitute (6, 5) into the partial equation

5 = 2 + c ⇒ c = 5 - 2 = 3

y = $\frac{1}{3}$ x + 3 ← equation of parallel line

5 0

2 years ago

Suppose that a monopolist

daser333 [38]

Answer:

The monopolist's net profit function would be:

$N(y)=198\,y\,-\,2.5\,y^2$

Step-by-step explanation:

Recall that perfect price discrimination means that the monopolist would be able to get the maximum price that consumers are willing to pay for his products.

Therefore, if the demand curve is given by the function:

$P(y)=200-2y$

P stands for the price the consumers are willing to pay for the commodity and "y" stands for the quantity of units demanded at that price.

Then, the total income function (I) for the monopolist would be the product of the price the customers are willing to pay (that is function P) times the number of units that are sold at that price (y):

$I(y)=y*P(y)\\I(y)=y\,(200-2y)\\I(y)= 200y-2y^2$

Therefore, the net profit (N) for the monopolist would be the difference between the Income and Cost functions (Income minus Cost):

$N(y)=I(y)-C(y)\\N(y)=(200\,y-2y^2)-(2y+0.5y^2)\\N(y)=198\,y\,-\,2.5\,y^2$

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2 years ago