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Bogdan [553]
2 years ago
12

Find the inverse of an equation below. Rewrite in Y= Form.

Mathematics
1 answer:
Vlada [557]2 years ago
3 0

y = log5 ( x + 2 )

................................

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Use the graph of the function f to determine the given limit. <br> Picture below
Oduvanchick [21]

Answer:

<u>Option: a</u> is correct.

Limit of the function at x=2 is: 2

Step-by-step explanation:

Clearly by looking at the graph of the function we could observe that the function f(x) is defined as:

f(x)=  -x+4   when x≠4

and    8 when x=2

since we could see that the function f(x) is a line segment that passes through the point (4,0) and (0,4).

and the equation of line passing through two points (a,b) and (c,d) is given by:

y-b=\dfrac{d-b}{c-a}\times (x-a)

Here a,b)=(4,0) and (c,d)=(0,4)

Hence,

the equation of line is:

y-0=\dfrac{4-0}{0-4}\times (x-4)\\\\y=\dfrac{4}{-4}\tmes (x-4)\\\\y=-1(x-4)\\\\y=-x+4

Now the left hand limit of the function at x=2 is:

\lim_{h \to 0} f(2-h)\\\\= \lim_{h \to 0} -(2-h)+4\\ \\=\lim_{h \to 0} -2+h+4\\\\=\lim_{h \to 0}2+h\\\\=2

Similarly the right hand limit of the function at x=2 is:

\lim_{h \to 0} f(2+h)\\\\= \lim_{h \to 0} -(2+h)+4\\ \\=\lim_{h \to 0} -2-h+4\\\\=\lim_{h \to 0}2-h\\\\=2

Hence, the limit of the function at x=2 is:

2

6 0
3 years ago
Help i dont know how to do the rest of this homework
pav-90 [236]

Answer:

Step-by-step explanation:108 divided by 12 equals 9 so nine feet next to 108 inches.

and nine divided by 3 is 3 so nine yards in the row with 108 inches.

360 divided by 12 which is 30 so 30 feet in the row with 360 inches.

90 feet divided by three so 30 so 30 yards in the row with 360 inches.

24 inches equals 2 feet

double this length is 48 inches or 4 feet

so in all he cut 6 yards and since he only had three yards you will still have  3 yards left over.

4 0
2 years ago
If I have read a book at a rate of 20 chapters per hour. How many chapters does she read in 4 hours
vaieri [72.5K]

20 × 4 = 80chapters

hope it helps...!!!

8 0
2 years ago
Read 2 more answers
Ryan surveyed parents. He found 3 out of every 5 parents vote. 450 parents eligible. How many parents will vote in the election?
Dafna1 [17]
The answer is 150 parents. Because 450/3=150
4 0
3 years ago
A movie at Walmart costs $14.97. Tax is 6%. What will the total be, including tax?
Ghella [55]

Answer:

multiply 14.97 to .6 and that's your answer

Step-by-step explanation:

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