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3 years ago

4

Mathematics

1 answer:

Fudgin [204]3 years ago

8 0

Answer:

x=4

Step-by-step explanation:

The y axis is a line where the value of x does not change ( x=0)

It is a vertical line

The only line where the value of x does not change is x=4

It is a vertical line at x=4

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Transformations questions! thank you :)

denis-greek [22]

Answer:

Either B or D is the answer

4 0

3 years ago

Multiply each equation by a constant that would help to eliminate the y terms. 2x-5y=-21 3x-3y=-18 What are the resulting equati

anyanavicka [17]

Answer:

6x - 15y = -63

15x -15y = -90

Step-by-step explanation:

We need to multiply the two equations by a constant that will eliminate the y terms.

The two equations are:

2x - 5y = -21

3x - 3y = -18

Let us multiply the first by 3 and the second by 6. The resulting equations will be:

6x - 15y = -63

15x -15y = -90

Note: To solve the system of equations we can simply subtract the first from the second.

8 0

3 years ago

What transformation is described by the

spayn [35]

Answer:

Step-by-step explanation:

Any alteration to the x value means that the function will move right. There are no exceptions to this that I can think of.

8 0

3 years ago

Suppose that we have two identical boxes: box 1 and box 2. box 1 contains 5 red balls and 3 blue balls. box 2 contains 2 red bal

sineoko [7]

(a) The probability of drawing a blue marble at random from a given box is the number of blue marbles divided by the total number of marbles. We assume that the probability of selecting one of two boxes at random is 1/2 for each box.

... P(blue) = P(blue | box1)·P(box1) + P(blue | box2)·P(box2) = (3/8)·(1/2) + (4/6)·(1/2)

... P(blue) = 25/48 . . . . probability the ball is blue

(b) P(box1 | blue) = P(blue & box1)/P(blue) = (P(blue | box1)·P(box1)/P(blue)

... = ((3/8)·(1/2))/(25/48)

... P(box1 | blue) = 9/25 . . . . probability a blue ball is from box 1

8 0

3 years ago

Answer as many as possible please need work for brainilist

zysi [14]

Answer:

1. 18x + 35y = 598

x + y = 20

Isolate a variable in the second equation:

y = -x + 20

Plug y back into the first equation

18x + 35(-x + 20) = 598

18x - 35x + 700 = 598

-17x +700 = 598

-17x = -102

x = 6

You carpool 6 days of the 20

6 + y = 20

y = 14

You ride the bus 14 days of the 20

2. 4.50n + 3p = 252

p = 2n

Substitute p into the first equation

4.50n + 3(2n) = 252

4.50n + 6n = 252

10.5n = 252

n = 24

They sold 24 cans of nuts

p = 2(24)

p = 48

They sold 48 boxes of popcorn

The group sold, in total, 24 + 48 = 72 cans of nuts and boxes of popcorn.

3. x - y = 3

x + y = 8

Isolate a variable

x = y + 3

(y + 3) + y = 8

2y + 3 = 8

2y = 5

y = 2.5

The average speed with wind is 2.5 mph

x - 2.5 = 3

x = 5.5

The average speed without wind is 5.5mph

4. x + 8y = 22.8

x + 6y = 18.6

Isolate

x = -8y + 22.8

Substitute

(-8y + 22.8) + 6y = 18.6

-2y + 22.8 = 18.6

-2y = -4.2

y = -2.1

The gas costs $2.10 per gallon

x + 8(2.1) = 22.8

x + 16.8 = 22.8

x = 6

The cost of the car was is $6.

5. Cost = 9.99 + 2.49x

Cost = 20.49 + 1.79x

To find which one is better, we need to set them equal to each other at first.

9.99 + 2.49x = 20.49 + 1.79x

9.99 + 0.70x = 20.49

0.70x = 10.5

x = 15

So, they cost the same at 15 rentals.

To find which one is the better deal let's see how much both cost after 16 rentals.

Cost = 9.99 + 2.49(16)

= 49.83

Cost = 20.49 + 1.79(16)

= 49.13

Therefore, Main Street is the better deal because after the equilibrium Main Street costs less than Big Video.

6. x + y = 15

.25x + .05y = 2.75

Isolate

x = -y + 15

Solve

.25(-y + 15) + .05y = 2.75

-.25y + 3.75 + .05y = 2.75

-0.2y + 3.75 = 2.75

-0.2y = -1

y = 5

There are 5 nickels

x + 5 = 15

x = 10

There are 10 quarters

7. x + y = 26

x + .25y = 17

Isolate

x = -y + 26

Substitute

(-y + 26) + .25y = 17

-0.75y + 26 = 17

-0.75y = -9

y = 12

There are 12 quarters in his pocket

x + 12 = 26

x = 14

There are 14 dollars

I hope this helps!!

- Kay :)

6 0

3 years ago