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NikAS [45]
3 years ago
8

What is the y-intercept for the linear function y - 4 = 2(x - 6)?

Mathematics
1 answer:
Karolina [17]3 years ago
5 0

Answer:

the y-intercept of this linear function is -8.

Step-by-step explanation:

1) use distributive property to simplify the brackets on the right hand side.

y - 4 = 2x -12

2) move -4 from the left hand side, to the right hand side.

y= 2x -12 + 4

3) add -12 and 4.

y= 2x - 8

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A motor scooter travels 20 mi in the same time that a bicycle covers 8 mi if the rate of the scooter is 4 mph more than twice th
aleksandr82 [10.1K]

We observe that 20 is 4 more than twice 8. This suggests the time is 1 hour and the rates are

... scooter: 20 mi/h

... bicycle: 8 mi/h

_____

You can let b represent the rate of the bicycle in miles per hour. Then we have (for time in hours and distance in miles) ...

... time = distance/speed

... time = 20/(2b+4) = 8/b

... 20b = 8(2b+4) = 16b +32

... 4b = 32

... b = 8

The rate of the bicycle is 8 mph; that of the scooter is 2*8+4 = 20 mph.

8 0
3 years ago
The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament
Alenkasestr [34]

Answer:

gfggfgkfmf

Step-by-step explanation:

3 0
3 years ago
It is presentation day in class and your instructor is drawing names from a hat to determine the order of the presentations. If
gogolik [260]

Answer:

\frac{1}{240} = 0.0042 = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this question, since the order in which the students are chosen is important, the permutations formula is used to solve it.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

Desired outcomes:

Drake then Todd, so only one outcome, which means that D = 1

Total outcomes:

Two students from a set of 16, so:

T = P_{16,2} = \frac{16!}{14!} = 16*15 = 240

What is the probability that the first 2 presentations will be by Drake and Todd, in that order?

p = \frac{D}{T} = \frac{1}{240} = 0.0042

\frac{1}{240} = 0.0042 = 0.42% probability that the first 2 presentations will be by Drake and Todd, in that order.

3 0
3 years ago
I really need help with this pls.
prisoha [69]
H= V / pi r^2

and 

a= 2A / p
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%5Cfrac%7B5n%2B1%7D%7B8%7D" id="TexFormula1" title="\frac{5n+1}{8}" alt="\frac{5n+1}{8}" align
schepotkina [342]

Answer:

n= 3/5

Step-by-step explanation:

This can be easily done by cross-multiplying(and also beneficial to get rid of fractions):

(5n+1)(2) = 1(8)

10n +2 = 8

10n = 8-2

10n=6

n = 6/10

Simplify:

n = 3/5

Hope this helps!

8 0
4 years ago
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