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hodyreva [135]
4 years ago
5

Y = ¼ x and y=¼x - 5. explain how the graphs are the same and how they are different

Mathematics
1 answer:
emmasim [6.3K]4 years ago
3 0
Do you still need help with this if so graphes have a bigger letter and a smaller letter 
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If f(x) = 6 – 5x and g(x) = 4x – 1, evaluate f(x) – g(x) for x = –2.
pogonyaev
Hello :
<span>f(x) = 6 – 5x and g(x) = 4x – 1
f(x)-g(x) = 6-5x-(4x-1) = 6-5x-4x+1 = -9x+7
whene x = - 2
f(x)-g(x) = -9(-2)+7 = 25......(answer : D)</span>
6 0
3 years ago
One pipe can empty a tank 5 times faster than another pipe can fill the tank. Starting with a full tank, if both pipes are turne
xxTIMURxx [149]

Answer:

40 hours

Step-by-step explanation:

Let's say that the slower pipe can fill x amount of the tank in one hour. It adds x amount to the tank every hour. Therefore, we can say, for the slower pipe,

1 hour = x amount

Then, the faster pipe empties the tank 5 times faster than the slower pipe fills it, so it removes 5 times the amount that the smaller pipe puts in, so for the faster pipe,

1 hour = -5x amount (negative to symbolize removing).

For the problem at hand, the tank starts at full, or 100%=1. It ends empty, or at 0% = 0. After 10 hours, if we only account for the slower pipe, we add x amount to the tank every hour, so we add 10 times that total, resulting in

1 + 10 * x as the ending result if we don't include the faster pipe. Then, the faster pipe removes 5x every hour, so in 10 hours, it removes 50x, so we have

1+10 * x - 50 * x as the final amount of stuff in the tank, which is equal to 0. Therefore, we have

1 + 10 * x - 50 * x = 0

1 - 40 * x = 0

add 40*x to both sides to isolate the x and its coefficient

1 = 40 * x

divide both sides by 40 to isolate x

x= 0.025

Therefore, the slower pipe adds 0.025, or 1/40 = 2.5% to the tank every hour. We want to figure out how long it would take for the slower pipe to fill up an empty tank, or turn it from 0% to 100% full.

Because the slower pipe adds 2.5% of the tank every hour, we can say that over y hours, it fills up

2.5% * y amount of the tank. We want to figure out how many hours it would take to make it 100% (we need to add 100% of the tank in the problem), so we can say

2.5% * y = 100%

divide both sides by 2.5% to isolate y

100%/2.5% = y = 40

5 0
3 years ago
Which expression is equivalent to
yKpoI14uk [10]

Answer:

option D is the correct answer

hope it helps you

make me brainliest if u are satisfied with this answer

3 0
2 years ago
Read 2 more answers
Please help I'm almost done the test and need this and one other question ​
PolarNik [594]

Answer:

z=68

Step-by-step explanation:

Use the formula 180\times(n-2) to find the sum of the angles in a polygon, given <em>n</em> sides. This formula tells us the angles of this pentagon must add to 540 (180\times(5-2)=540).

So, we can setup an equation:

70+2z+11+119+z+2z=540

Solve for z:

200+5z=540 Combine like terms

5z=340 Subtract 200

z=68 Divide by 5

Therefore, the value of z = 68.

6 0
4 years ago
What is the minimum amount of saran wrap that Tyler will need to cover the pencil holder, to ensure that no sand leaks out? *
liberstina [14]

Answer:

e

Step-by-step explanation:

To find the surface area of the triangular prism, you need to find the area of all the sides and add them together. The two triangular bases have already been established to have an area of 3 square units each, so together they have an area of 6 units. Two of the rectangular sides have dimensions of 3.5 by 2.5 units, while one has dimensions 3.5 by 3 units. Adding all of this together, you get a total of 34 square inches, or option e. Hope this helps!

7 0
3 years ago
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