PLEASE ANSWER ASAP. How are direct democracy and representative democracy similar?

A line passes through (1,2) and is perpendicular to y=3.

dybincka [34]

Make a graph and put a point at exactly (1,2) and then make a like at y=3 make a line through the point and you'll see that this is an undefined equation x cant equal all those numbers

6 0

2 years ago

Read 2 more answers

Gerald earns a base hourly rate of $8 per hour at his job. However, if he works more than 10 hours in a week, he earns $9 per ho

Vika [28.1K]

For 10 hours of job Gerald earns 8*10=80$

For 11 hours Gerald earns 8*10+9n. n - number of working hours over 10 hours.

if Gerald work 16 hours, then he work 6 hours after 10, so n=6

8*10+9*6=80+54=134$

Answer: Gerald earns 134$ if he works 16 hours in one week.

Sorry for my bad English pls:)

8 0

3 years ago

Read 2 more answers

A school wishes to enclose its rectangular playground using 480 meters of fencing.

Harlamova29_29 [7]

Answer:

Part a) $A(x)=(-x^2+240x)\ m^2$

Part b) The side length x that give the maximum area is 120 meters

Part c) The maximum area is 14,400 square meters

Step-by-step explanation:

The picture of the question in the attached figure

Part a) Find a function that gives the area A(x) of the playground (in square meters) in terms of x

we know that

The perimeter of the rectangular playground is given by

$P=2(L+W)$

we have

$P=480\ m\\L=x\ m$

substitute

$480=2(x+W)$

solve for W

$240=x+W\\W=(240-x)\ m$

<u><em>Find the area of the rectangular playground</em></u>

The area is given by

$A=LW$

we have

$L=x\ m\\W=(240-x)\ m$

substitute

$A=x(240-x)\\A=-x^2+240x$

Convert to function notation

$A(x)=(-x^2+240x)\ m^2$

Part b) What side length x gives the maximum area that the playground can have?

we have

$A(x)=-x^2+240x$

This function represent a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the length that give the maximum area that the playground can have

Convert the quadratic equation into vertex form

$A(x)=-x^2+240x$

Factor -1

$A(x)=-(x^2-240x)$

Complete the square

$A(x)=-(x^2-240x+120^2)+120^2$

$A(x)=-(x^2-240x+14,400)+14,400$

$A(x)=-(x-120)^2+14,400$

The vertex is the point (120,14,400)

therefore

The side length x that give the maximum area is 120 meters

Part c) What is the maximum area that the playground can have?

we know that

The y-coordinate of the vertex represent the maximum area

The vertex is the point (120,14,400) -----> see part b)

therefore

The maximum area is 14,400 square meters

Verify

$x=120\ m$

$W=(240-120)=120\ m$

The playground is a square

$A=120^2=14,400\ m^2$

8 0

2 years ago

Seventy homes that were for sale in Tampa, Florida in Spring of 2019 were randomly selected. A regression model to predict house

Art [367]

Answer:

d. The slope of the relationship between firstfloorsquarefootage and price is moresteep for homes near the beach than elsewhere in Tampa.

Step-by-step explanation:

In this regression model, we have a positive slope. This positive slope is indicative of an increase. So to interpret this slope, we would say that the slope of the relationship that exists between the two variables (price and firstfloorsquarefootage) is steeper for the homes that are closer to the beach compared to the ones that are elsewhere. Therefore option D is our answer.

5 0

2 years ago

A man buys a book for Rs 400 and sells it for Rs 420 his profit is

motikmotik

Answer:

20

Step-by-step explanation:

420-400=20

6 0

2 years ago

Read 2 more answers