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Alexus [3.1K]
1 year ago
9

Does x=x-5 have one solutions, no solutions, or infinate solutions

Mathematics
1 answer:
Ipatiy [6.2K]1 year ago
7 0

Answer:

no solutions

Step-by-step explanation:

x=x-5 is impossible. x is always x

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!!!!!!!!!!!!!!!!!!!!
Andru [333]

Answer:

f^{-1}(x)=4x+20

Step-by-step explanation:

<u>Given</u>

<u />f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5

<u>Swap x and y and solve for y</u>

<u />y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20

<u>Final answer</u>

<u />f^{-1}(x)=4x+20

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

3 0
2 years ago
During one term Rachel took 2 mathematics test her mean score was 75 she scored 12 points more on the first test then the second
MaRussiya [10]

Answer: she scored 69 points on the second test.

Step-by-step explanation:

Let x represent the number of points that she scored in the first test.

Let y represent the number of points that she scored in the second test.

If her mean score was 75, it means that

(x + y)/2 = 75

x + y = 75 × 2

x + y = 150- - - - - - - - - 1

If she scored 12 points more on the first test than the second test, it means that

x = y + 12

Substituting x = y + 12 into equation 1, it becomes

y + 12 + y = 150

2y + 12 = 150

2y = 150 - 12

2y = 138

y = 138/2

y = 69

3 0
3 years ago
7.1 is 10 times smaller than
Aleks [24]
7.1 is ten times smaller than 71
8 0
3 years ago
Read 2 more answers
2x2 + 4x-1<br> - 6x +3x-9
Lady_Fox [76]

Answer:

2x2 + x - 10

Step-by-step explanation:

6 0
3 years ago
Kevin hiked up lambs Canyon and two hours and then ran back down in one hour has been running downhill was 2.8 mph greater than
coldgirl [10]

Answer: he hiked 5.6 miles up the canyon.

Step-by-step explanation:

Let x represent his speed hiking uphill.

His speed running downhill was 2.8 mph greater than his speed hiking uphill. This means that his speed running downhill would be x + 2.8

Distance = speed × time

Kevin hiked up Lamb’s Canyon in 2 hours. This means that the distance covered by hiking uphill is 2 × x = 2x

He ran back downhill in 1 hour. This means that the distance covered by running downhill is 1 × (x + 2.8) =

x + 2.8

Since the distance uphill is the same as the distance downhill, then

2x = x + 2.8

2x - x = 2.8

x = 2.8

Therefore, the distance hiked up the canyon is

2x = 2 × 2.8 = 5.6 miles

8 0
3 years ago
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