All categories

2 years ago

A coordinate grid is shown below:

Mathematics

2 answers:

Serhud [2]2 years ago

7 0

Answer:

Part A: (0,0)

Part B:

(1, -1) go over one to the right and down one

(-1, 1.25) go over one to the left and up 1.25

(-2, 3/4) go over two to the left and up .75

Step-by-step explanation:

Part A: the origin of a graph is always (0,0)

Part B:

(x, y) the first number is your x which goes left and right. if the number is negative you go left and if the number is positive you go right. the second number is your y which goes up and down. if the number is negative you go down and if the number is positive you go up

r-ruslan [8.4K]2 years ago

4 0

Part a: the point 0,0 represents the origin

You might be interested in

At a point on the ground 35 ft from the base of a tree, the distance to the top of the tree is 1 ft more than 3 times the height

jolli1 [7]

Answer:

Step-by-step explanation:

This is a question that uses the Pythagorean Theorem.

a = 35 feet

b = x which is the height of the tree.

c = 3*x + 1 so we are trying to find x. Substitute into a b and c

a^2 + b^2 = c^2

35^2 + x^2 = (3x + 1)^2

35^2 + x^2 = 9x^2 + 6x + 1 Subtract x^2 from both sides.

35^2 = 8x^2 + 6x + 1 Subtract 35^2 from both sides.

0 = 8x^2 + 6x + 1 - 35^2

0 = 8x^2 + 6x - 1224

Does this factor?

(x + 12.75)(x - 12)

x - 12 = 0 is the only value that works.

x = 12

The tree is 12 feet high.

Note: I used the quadratic formula to solve this.

6 0

3 years ago

Read 2 more answers

A total of 769 tickets were sold were for the play.Thwy were either adult tickets or students tickets.There were 69 more student

aleksandrvk [35]

Answer:

350 adult tickets were sold

Step-by-step explanation:

Let "a" represent the number of adult tickets sold. Then the number of student tickets is (a+69) and the total number of tickets sold is ...

a + (a+69) = 769

2a = 700 . . . . . . . . subtract 69

a = 350 . . . . . . . . . divide by 2

350 adult tickets were sold.

7 0

3 years ago

Help me out with this

lutik1710 [3]

The process is similar to (and easier* than) adding three 4-digit numbers. Add the numbers in each column.

The sum is ...
(2+1-3)x³ +(-4+6+2)x² +(6-8-4)x +(-3+12-7)
= 0x³ +4x² -6x +2

The sum is 4x² -6x +2

_____
* The process is easier because there are no "carry" operations from one column to another as there may be when adding multi-digit numbers.

3 0

3 years ago

A hotel rents 210 rooms at a rate of $ 60 per day. For each $ 2 increase in the rate, three fewer rooms are rented. Find the roo

lidiya [134]

Answer:

r=$14,400

The hotel should charge $120

Step-by-step explanation:

Revenue (r)= p * n

where,

p = price per item

n = number of items sold

A change in price leads to a change in number sold

A variable to measure the change in p and n needs to be introduced

Let the variable=x

Such that

p + x means a one dollar price increase

p - x means a one dollar price decrease

n + x means a one item number-sold increase

n - x means a one item number-sold decrease

for each $2 price increase (p + 2x) there are 3 fewer rooms are rented (n-3x)

know that at $60 per room, the hotel rents 210 rooms

r = (60 + 2x) * (210 - 3x)

=12,600-180x+420x-6x^2

=12,600+240x-6x^2

r=2100+40x-x^2

= -x^2 +40x+2100=0

Solve the quadratic equation

x= -b +or- √b^2-4ac / 2a

a= -1

b=40

c=2100

x= -b +or- √b^2-4ac / 2a

= -40 +or- √(40)^2 - (4)(-1)(2100) / (2)(-1)

= -40 +or- √1600-(-8400) / -2

= -40 +or- √ 1600+8400 / -2

= -40 +or- √10,000 / -2

= -40 +or- 100 / -2

x= -40+100/-2 OR -40-100/-2

=60/-2 OR -140/-2

= -30 OR 70

x=70

The quadratic equation has a maximum at x=70

p+2x

=60+2(30)

=60+60

=$120

r= (60 + 2x) * (210 - 3x)

={60+2(30)}*{(210-3(30)}

r=(60+60)*(210-90)

=120*120

=$14,400

7 0

3 years ago

At a movie theater, admission tickets cost $10 for adults and $8 for children. On Saturday, Anne Teak collected a total of $1276

kow [346]

Answer:

Part a) variable x (the number of adult tickets sold) and variable y (the number of child tickets sold)

Part b) $10x+8y=1,276$

Part c) The number of adult tickets sold was 86

Step-by-step explanation:

Part a) Name a variable for the number of adult tickets sold and name a variable for the number of child tickets sold

Let

x -----> the number of adult tickets sold

y -----> the number of child tickets sold

Part b) Write an equation in two variables to model the problem

we know that

$10x+8y=1,276$ -----> equation A

$y=52$ -----> equation B

substitute equation B in equation A and solve for x

$10x+8(52)=1,276$

$10x+416=1,276$

Part c) Using your equation in Part B, solve the problem and answer the question "how many adult tickets did Anne sell?" i

we have

$10x+416=1,276$

Solve for x

Subtract 416 both sides

$10x=1,276-416$

$10x=860$

$x=86$

therefore

The number of adult tickets sold was 86

7 0

3 years ago