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3 years ago

Choose a linear function for the line representing by the point slope equation y-5=3(x-2)

Mathematics

2 answers:

Dmitry_Shevchenko [17]3 years ago

7 0

Multiply 3x and -2 by 3 and add 5 to right side of equal sign to get y = -1

Reptile [31]3 years ago

5 0

Answer:

y=3x-1

Step-by-step explanation:

To find the linear function you first need to put the equation into standard slope intercept form which is y=mx+b. m represents the slope and b represents where the line intercepts the y axis.

To figure it out you need to solve for y.

y-5=3(x-2)

Expand 3(x-2) to 3x-6.

y-5=3x-6

Isolate the y by adding 5 to both sides, giving you y=3x-1.

The slope is 3 and the Y intercept is -1.

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Ram noticed three students used 1 2/10 dm of tape.what was the total used for three students???

OLga [1]

Answer:

18/5

Step-by-step explanation:

From my understanding, this is 1 whole 2 upon 10

Step 1: Convert mixed fraction into fraction

Multiply whole number by denominator: 1 x 10 = 10

Add numerator: 10 + 2 = 12

Write the result as the numerator and use the same denominator.

12/10

Step 2: Find the total tape used

From my understanding, each student used 12/10 of the tap

So 3 students used: 12/10 x 3 = 18/5

Therefore, the total tape used for three students was 18/5.

7 0

2 years ago

Ethan Purchased A new cell phone for $75.00. The cost of the phone is included in his first months bill. His cell phone plan cha

Kaylis [27]

Answer:

he had $90

he bought a phone for $75

90-75=15

he has $15 now

15÷0.06=1500÷6=250 minutes

7 0

2 years ago

There are 12 marbles in a box. 8 are purple, and 4 are green. What is the probability of picking a purple marble and then a gree

Bad White [126]

Answer: 8/33

Step-by-step explanation:

So the probability of picking a purple marble is 8/12, after that there are 11 marbles left in the box

Now the probability of picking a green marble without placing the first marble back is 4/11

So the probability of doing both is 8/12 x 4/11 = 8/33

8 0

1 year ago

F) Two numbers are in the ratio 5:4. If they differ by 12, what are the numbers?

Iteru [2.4K]

Answer:

First number = 60 and another number = 48

Step-by-step explanation:

Let two numbers are 5x and 4x.

The two number are differ by 12. We need to find the numbers.

ATQ,

5x-4x = 12

x = 12

Now first number = 5x

= 5(12)

= 60

Other number = 4x

= 4(12)

= 48

Hence, the numbers are 60 and 48.

8 0

2 years ago

Would really appreciate if u could help me with all letters but even a few are great! Thanks (the graph is hard to explain so i

defon

Part A

The equation is b = 36*a or simply b = 36a

We take the size of the farm 'a' and multiply it by 36 to get the number of bushels of corn 'b'.

-----------------------------------

Part B

The 36 means there are 36 times more bushels of corn compared to the size of the farm in acres

For example, if the size is 2 acres then
b = 36*a
b = 36*2
b = 72
yielding 72 bushels of corn

-----------------------------------

Part C

Along the first row you should have: 25 and 30 in the missing blanks (over 900 and 1080 respectively)

You find this by dividing the value of b over 36
eg: b/36 = 900/36 = 25

-------

Then along the bottom row you should have the following for the blanks: 0, 360, 1800

These values are found by multiplying the 'a' value by 36
eg: if a = 10 then b = 36*a = 36*10 = 360

-----------------------------------

Part D

Plot any two points you want from the table back in part C
So plot say (0,0) and (10,360). Then draw a straight line through those two points.

-----------------------------------

Part E

The point (30,1080) means a = 30 and b = 1080
So if the farm is 30 acres, then it can produce 1080 bushels of corn

Notice how
b = 36*a
b = 36*30 <<-- replace 'a' with 30
b = 180
And how this matches up with the fourth column of the table in part C. So you can use this part to get a hint of how to fill out the table (or at least know what one column looks like)

8 0

2 years ago