Logarithmic are inverse of exponential functions. The point where graph of f and g intersect is (0, ∞)
<h3>Logarithmic function</h3>
Logarithmic are inverse of exponential functions. Given the following functions;
g(x)=log2x and g(x)=log10x
The point where the graphs intersect is the point where g(x) = g(x)
Equate
log2x = log10x
2x = 10x
The value of x that made them equal is 0
Determine the value of g(x)
g(0) = log2(0)
g(0) = ∞
Hence the point where graph of f and g intersect is (0, ∞)
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Answer:
If Andrew works for 30 for $4 he will have a total wage of 30×4=$120
And gets additional $5for every hr worked beyond 30hrs in that week
So he gets a total of 5(x-30)
So if he works for 40hrs he gets a total wage of
5(40-30)=50
120+50=$170
If he works for 50 hours he gets Total wage of
5(50-30)=100
120+100=$220




Divide both sides by -2. We know that since 2 is negative, it'll be < (less than) 0. So, the direction of inequality will change.

Divide 26 by -2..we'll get the answer as -13.

Now, subtract 3 from both the sides.

Subtracting -13 by 3..we'll get the answer as -16.

Divide both sides by 2. We know that since 2 is positive, the direction of inequality will remain the same.

Divide -16 by 2..we'll get the answer as -8.

- The correct answer is ⇨ <u>x </u><u>greater </u><u>than </u><u>or </u><u>equal</u><u> to</u><u> </u><u>-</u><u>8</u><u>.</u>
Answer:
option a)
0.286
Step-by-step explanation:
Given that,
number of red pens in cup = 5
number of black pens in cup = 10
number of pen randomly selected = 3
There are 5 red pens and 10 black pens. So there are 5 + 10 = 15 pens in all.
probability of having all red pens = (5/15 x 4/14 x 3/13)
= 2/91
probability of having all black pens = (10/15 x 9/14 x 8/13)
= 24/91
probability that all pen are of same colour = 24/91 + 2/91
= 2/7
≈ 0.286