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Vinvika [58]
3 years ago
11

Which equation represents the line that passes through the points (4, 6) and (-2, -1)?

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:

y = 7/6x + 4/3

Step-by-step explanation:

find slope first

change in y over the change in x

-1-6/-2-4 = -7/-6 = 7/6

to be extra sure use this formula to find the y-intercept or b

y - 6 = 7/6 (x -4)

you can plug in either point

solve for y and you have the equation in slope intercept form or y=mx+b

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What is the inverse of this function?
Andreas93 [3]

Step-by-step explanation:

f(x) = y = -1/2 × sqrt(x + 3), x >= -3

-2y = sqrt(x + 3)

4y² = x + 3

x = 4y² - 3

and now we need to rename x to y and y to x to make it a "normal" function :

y = 4x² - 3

since in the original function x >= -3, this gave us y <=0.

and therefore (remember the x of the inverse function actually stands for the y of the original function) the limit for the inverse function is x <= 0.

so, again, the full answer is

f^-1(x) = 4x² - 3, x <= 0

8 0
2 years ago
If you were a biologist counting very large numbers of cells as part of your research get several reasons why you like that for
Nastasia [14]
If it was in standard notation it would be very confusing to add the number of cells and it would be less organized.
8 0
3 years ago
On a trip last summer, I used 20 gallons of gas to travel 600 miles. At this rate, how much gas
Reptile [31]

Answer:

45,000

Step-by-step explanation:

You should divide 20 by 600 to see how many miles he would run per mile

and you take 30 x 1,500 to get your answer

8 0
3 years ago
3. Jason earns $400 per week plus a 3% commission on his total sales. If he sold $675 in total sales, how much did he earn this
dlinn [17]

Answer:

$420.25

Step-by-step explanation:

Total earnings of the week

= 400 + 3 \% \: of \:675 \\  \\  = 400 + 0.03 \times 675 \\  \\  = 400 + 20.25 \\  \\  = \$ 420.25

6 0
3 years ago
Some bikes and trikes are on the playground. There are 7 seats and 19 wheels. How many bikes are there? How many trikes are ther
snow_tiger [21]
Okay here we go!
1. I'm a visual person so i would start by drawing circles for the wheels. 
o o o o o o o o o o o o o o o o o o o 
2. I tried separating them by threes
ooo ooo ooo ooo ooo ooo o
2 By two's 
oo oo oo oo oo oo oo oo oo o
3. then i started to count 
ooo ooo ooo ooo ooo = 15 and i still had 4 left over 
oo oo = 4 and that would equal to 19 wheels!

the answer is: there are 5 trikes and 2 bicycles!!!!!
Hope that helped!
:) 

6 0
3 years ago
Read 2 more answers
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