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3 years ago

Does (-8,-8) make the equation y = x true

Mathematics

2 answers:

Karolina [17]3 years ago

8 0

Answer:

Yes

Step-by-step explanation:

x=-8 and y=-8 so yes in this equation y=x is true

tino4ka555 [31]3 years ago

3 0

Answer:

yes

Step-by-step explanation:

-8 is equal to -8

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The garden club earned $15 per hour by weeding neighborhood gardens for t hours. A generous donor has agreed to double their ear

bazaltina [42]

Answer: 35

Step-by-step explanation:15 + 15

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4 years ago

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You operate a gaming Web site, www.mudbeast.net, where users must pay a small fee to log on. When you charged $3 the demand was

Doss [256]

Answer:

A) The linear relation between price and demand is:

$d=-550x+2750$

The revenue R is:

$R=-550x^2+2750x$

B) The profit functionP is:

$P=-550x^2+2750x-30$

C) The largest monthly profit is obtained with a log-on fee of $2.5 per month. This corresponds to a profit of $3407.5.

Step-by-step explanation:

We have a site where the number of log-ons depends on our monthly fee. A linear relation is established between the price (log-on fee) and the number of log-ons.

We have two points for this linear relationship:

At price x=3, the demand is d=1100.
At price x=2.5, the demand is d=1375.

We will model the relation:

$d=mx+b$

We can calculate the slope m as:

$m=\dfrac{\Delta d}{\Delta x}=\dfrac{d_2-d_1}{x_2-x_1}=\dfrac{1375-1100}{2.5-3}\\\\\\m=\dfrac{275}{-0.5}=-550$

Then, replacing one point in the linear equation, we can calculate the intercept b:

$d_1=mx_1+b\\\\1100=(-550)\cdot 3+b\\\\1100=-1650+b\\\\b=1100+1650=2750$

Then, the linear relation between demand and price is:

$d=-550x+2750$

The revenue R can be expressed as the multiplication of the price and the demand:

$R=x\cdot d=x(-550x+2750)=-550x^2+2750x$

If we have a fixed cost of $30 per month, the profit P is:

$P=R-FC=-550x^2+2750x-30$

We can maximize the profit by deriving the profit function and making it equal to zero.

$\dfrac{dP}{dx}=0\\\\\\\dfrac{dP}{dx}=-550(2x)+2750(1)=0\\\\\\-1100x+2750=0\\\\x=\dfrac{2750}{1100}=2.5$

This corresponds to a profit of:

$P(2.5)=-550(2.5)^2+2750(2.5)-30\\\\P(2.5)=-550\cdot 6.25+6875-30\\\\P(2.5)=-3437.5+6875-30\\\\P(2.5)=3407.5$

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3 years ago

F(x)=\sqrt{\frac{20 x}{x^2-49}}

Lyrx [107]

Answer:

Great use of desmos! But since one line doesn't touch the x- axis it would have to be +infinity. the other line does touch at (0,0) so the x would be 0. This is a question that you should ask your teacher about for sure.

Sorry I cant be more help!

8 0

4 years ago

What is the volume of this prism?

barxatty [35]

Answer:

56.25 units^3

Step-by-step explanation:

To find the volume, multiply the three dimensions

3.75 * 3 * 5 =

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2 years ago

Harriet traveled 1,249 meters by bicycle. Then she traveled 2,987 meters by boat and 66,245 meters by hot air balloon. How many

Aleksandr [31]

Answer: 70,481 meters

Step-by-step explanation:

Given: The distance traveled by bicycle = 1,249 meters

The distance traveled by boat = 2,987 meters

The distance traveled by hot air balloon = 66,245 meters

The distance traveled by Harriet altogether is given by :-

$D=1,249+2,987+66,245\text{ meters}\\\\\Rightarrow D=70,481\text{ meters}$

Hence, the distance traveled by Harriet altogether is 70,481 meters.

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3 years ago

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