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krek1111 [17]
3 years ago
15

Which of the following is the inverse of y=6^x? y=log_(6)x, y=log_(x)6, y=log_((1)/(6))x, y=log_(6)6x

Mathematics
2 answers:
Brums [2.3K]3 years ago
7 0
The answer is A, y=log_6 x.
kolezko [41]3 years ago
4 0

Answer:

y=log_(6)x

Step-by-step explanation:

From the definition of logarithm:

x = log_b y <---> y=b^x

In our case, we have

y=6^x

which means that b=6, therefore the inverse function is

x=log_6 y

which can be rewritten by switching x and y:

y=log_6 x

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Perry finished a 100-meter race in 7/8 of a minute. The winner of the race used 14/15 of Perry's time to finish the race. How mu
konstantin123 [22]

Answer:

49 seconds

Step-by-step explanation:

The time perry used is 7/8 of a minute

a minute equals to 60 seconds

so the time perry used is 7/8 x 60 = 52.5 seconds

The winner used 14/15 of 52.5 seconds (perrys time)

so 14/15 x 52.5 = 49 seconds

3 0
3 years ago
How would you solve 7x + 2(x+5) &lt; 3x-14
Daniel [21]
So first you want to start in the parentheses
x+5
so what you do is 2 times x which is 2x
2 times 5 which is ten
7x+10x <3x-14
-10× - 10x



-3x
5 0
3 years ago
Solve: 4= -0.8n<br> I forgot how to do this can someone help?
frez [133]

Answer:

<em>n</em><em> </em><em>=</em><em> </em><em>-5</em>

Step-by-step explanation:

<em>Just</em><em> </em><em>divide</em><em> </em><em>both</em><em> </em><em>sides</em><em> </em><em>with</em><em> </em><em>-0</em><em>.</em><em>8</em>

<em>:</em><em>)</em><em> </em>

8 0
3 years ago
Read 2 more answers
A convex polyhedron has (a + 3) faces, (2a) vertices, and (4a – 1) edges. What is the value of a? a =
rusak2 [61]
Number of faces: F=a+3
Number of vertices: V=2a
Number of edges: E=4a-1

V+F-E=2
Replacing V=2a; F=a+3; and E=4a-1 in the formula above:
(2a)+(a+3)-(4a-1)=2
Eliminating parentheses:
2a+a+3-4a+1=2
Adding similar terms:
(2+1-4)a+(3+1)=2
(-1)a+4=2
Solving for a. Subtracting 4 both sides of the equation:
(-1)a+4-4=2-4
(-1)a=-2
Dividing both sides by (-1)
(-1)a/(-1)=-2/(-1)
a=2

Answer: The value of a is: a=2

4 0
3 years ago
Read 2 more answers
Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya travels 22 meters in 10 seconds. Who was moving faste
Yuliya22 [10]

The way to get the answer is to find out how much each person goes every 1 second. It would make your life a lot easier

To find how far they traveled per second you would divide the both numbers in order to see how far they traveled per second.

Mai: 15 ÷ 6 = 2.5 meters per second.

Priya: 22 ÷ 10 = 2.2 meters per second.

Mai was moving faster than Priya.

5 0
3 years ago
Read 2 more answers
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