MATHEMATICS HIGH SCHOOL

The equation of a line is y = -3x - 2. What are the slope and the y-intercept of the line? slope = -3 and y-intercept = 2 slope = 3 and y-intercept = -2 slope = 3 and y-intercept = 2 slope = -3 and y-intercept = -2​

Answers

Answer 1
Answer:

Answer:

slope -3 and y-intercept -2

Step-by-step explanation:

The slope:

the general linear function is y=mx+n where m is the slope

so slope = -3

y intercept is when x=0

y=-3*0-2

y=-2  

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4. If a function, f(x) is shifted to the left four units, what function represents the transformation?. A. f(x-4). B. f(x) - 4. C. f(x+4). D. f(x) + 4. .

What is 3/5 minus 1/4?

Answers

7/20 since 3/5 is 12/20 and 1/4 is 5/20
first get a common denominator, 5 and 4 share 20 as a least common denominator. next, multiply the tops to match the bottom. 12/20 – 5/20 = 7/20

5. In a sprint to the finish, a professional cyclist travels 380 meters in20 seconds.
a. At that rate, how far does the
cyclist travel in 3 seconds?
meters
seconds
320
20
1
3

Answers

Answer:

48 metres.

Step-by-step explanation:

How far does the cyclist travel in 3 seconds:

First, find how far the cyclist goes in 1 second:

320 metres = 20 seconds

? = 1 second

320 ÷ 20 = 16 metres

The cyclist travels 16 metres in 1 second.

How far does the cyclist travel in 3 seconds:

1 second = 16 metres

3 seconds = ?

16 × 3 = 48 metres.

The cyclist travels 48 metres in 3 seconds.

If You have a full cylindrical glass of water that stands 8 inches tall and has a radius of 1.5 inches. If you pour the water into a larger cylindrical glass that stands 12 inches tall and has a radius of 2.5 inches, how much more water would the larger glass be able to hold? Round it to the nearest hundredth.

Answers

The volume of a cylinder is (π) (radius)² (height)

Volume of the larger glass = π (2.5)² (12) = 75 π cubic inches

Volume of the smaller glass = π (1.5)² (8) = 18 π cubic inches

If the smaller one is full to the rim, and you empty it into the larger one,
then the larger one can still hold

( 75π - 18π ) = 57π cubic inches = 179.07 cubic inches

Man, that's some glass . . . about 78% of a gallon !

Smither thinks that a special juice will increase the productivity of workers. He creates two groups of 50 workers and assigns each group the same task (in this case, they’re supposed to staple a set of papers). Group A is given the special juice to drink while they work. Group B is not given the special juice. After an hour, Smither counts how many stacks of papers each group has made. The above experiment could be made more valid by _____. Choose the best answer • running a pretrial or using existing data from a time when nobody drinks the juice as a baseline. • increasing the number of groups to 4 with 25 people in each group. • using coconut water instead of juice. • testing the subjects for longer periods of time

Answers

Answer:

The experiment could be made more valid by:

• Running a pretrial or using existing data from a time when nobody drinks the juice as a baseline.

This option would help establish a baseline productivity level for the workers before introducing the special juice. By comparing the performance of Group A (given the special juice) with the baseline performance, it would be easier to determine whether the special juice indeed had an impact on productivity. This approach helps control for any external factors that may affect productivity, making the experiment more valid and the results more reliable.
The best answer is: running a pretrial or using existing data from a time when nobody drinks the juice as a baseline.
This would make the experiment more valid because it establishes a baseline for comparison. By comparing the productivity of both groups with no juice consumption, any differences observed in productivity between Group A (given the special juice) and Group B (not given the special juice) can be more confidently attributed to the juice itself rather than other factors. This helps to ensure that any observed effects are indeed caused by the special juice and not due to other variables or random chance.

Jack's average in math for the first nine weeks was an 88. his second nine weeks average decreased 12.5% what was his average for the second nine weeks? please explain how you got your answer.

Answers

10% of 88 = 8.8

2.5% of 88 = 2.2

2.2 + 8.8 = 11

88 - 11 = 77
Well 10% of 88= 8.8
5% then would be 4.4, so then 2.5% would be 2.2.

So it would be 10% (8.8) + 2.5% (2.2) = 10.1

So for the second nine weeks his average decreased by 12.5% (10.1) so it would be, 88-10.1= 77.9

Answer = 77.9


Hope that's correct haha

In how many different ways can 3 identical green shirts and 3 identical red shirts be distributed among 6 children such that each child receives a shirt

Answers

Answer:

Total number of ways will be 20

Step-by-step explanation:

We have given three identical green shirts and three identical red shirts

So total number of shirts = 3+3 = 5

We have to distribute these shirts to 6 children so that each children got one shirt

Number of ways will be equal to =(6!)/(3!3!)=20 ( Here we divide by 3!3! because three green shirts and 3 red shirts are identical )  

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