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bezimeni [28]
2 years ago
6

Laura is graphing an absolute-value function in the form

Mathematics
1 answer:
Ilya [14]2 years ago
7 0

Answer:

The equation of the function is;

y = |x-3| -3

Step-by-step explanation:

Here, we want to give the absolute-value function

For the minimum value to be -3, it means that k is negative

since the domain is the set of all real numbers, then we do not have any undefined value for the range y

So, the equation is ;

y = |x-3| - 3

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Wen was hiking on a 12-mile route. During the first 2 hours, his hiking speed was 3 mph. During the rest of the hike, his speed
Mars2501 [29]

The total time taken to cover 12 miles distance is 5 hours.

<u>Given the Parameters</u> :

  • Total distance hiked = 12 miles

Recall :

  • Distance = speed × time

Let :

  • Total Time taken = t

<u>We could create an equation thus</u> :

Total distance = 3(2) + 2(t - 2)

12 = 6 + 2t - 4

12 = 2 + 2t

12 - 2 = 2t

10 = 2t

t = 10/2

t = 5

Therefore, the total time taken is 5 hours

Learn more :brainly.com/question/18796573

5 0
2 years ago
57 is 13.5% of what number?
kondaur [170]
Let, the number = x
It would be: x * 0.135 = 57
x = 57 / 0.135
x = 422.23

Hope this helps!
6 0
2 years ago
Solve the rational equation 1/n-4 - 2/n = 3/4-n
Leokris [45]

Answer:

n=4

Step-by-step explanation:

Given equation: \[\frac{1}{n-4}-\frac{2}{n}=\frac{3}{4-n}\]

Simplifying the Left Hand Side of the equation by taking the LCM of the denominator terms:

\[\frac{n}{n*(n-4)}-\frac{2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2*(n-4)}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{n - 2n + 8}{n*(n-4)}=\frac{3}{4-n}\]

=> \[\frac{8 - n}{n*(n-4)}=\frac{3}{4-n}\]

=> \[(8-n)*(4-n) =n*(n-4)*3\]

=> \[n-8 =3n\]

=> \[2n =8\]

=> n = 4

5 0
3 years ago
Write an expression to represent: "the difference of 8 squared and a number"
Gnom [1K]

Answer:

The expression is (64 - x).

Step-by-step explanation:

The statement is:

"the difference of 8 squared and a number"

Let the number be denoted by <em>x</em>.

The value of 8 squared is:

8^{2}=8\times 8\\

   =64

Then the expression for the provided statement is:

(64 - x)

Thus, the expression is (64 - x).

3 0
2 years ago
Alexis drove 1200 miles in 30 h. What was her rate of travel in miles per hour
kari74 [83]

The answer is 40 miles per hour. If you divide 1200/30 you would get 40. Hope this helps!

7 0
2 years ago
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