Answer: Y = 3x - 2
Work: Okay, let's take this step by step. Since the Y - Intercept is -2, put a dot on -2 on the (Y) Line. It also just so happens that the line goes through -2. Now with 3x. 3x is the same thing as 3x / 1. Since three is on the top, you go up three from -2, and then move over one spot because of the 1 (If it was a negative one, you go the opposite direction) Alright, now you see that the line also passes through that point as well, so it has to be y = 3x -2
<em>I hope this helps, and Happy Holidays! :)</em>
Answer:
19
Step-by-step explanation:
3.920(1.018)ˣ = 5.500
- First we can divide both sides by 3.920 to get: (1.108)ˣ = 1.403
- Then we can take the natural log of both sides to get: ln[(1.108)ˣ] = ln(1.403)
- We can then use logarithmic rules to move the x exponent to the front: xln(1.108) = ln(1.403)
- Then we can divide both sides by ln(1.108) to get:
- Then using a calculator we get x = 18.98 ≈19
Answer:
1. He added 5 instead of subtracted 5.
2. He should have subtracted 5.
3. 2 2/3
Step-by-step explanation:
3x+5=13
subtract 5 to both sides 3x=8
divide both sides by 3 x=8/3 or 2 2/3
Answer: A. f(g(x)) =x and g(f(x))=x and f and g are inverses.
Step-by-step explanation:
A function <em>g</em> is the inverse of function <em>f</em> if
<em>f(g(x)) = g(f(x))=x</em>
Given: f(x)= x+4 , g(x) = x-4
f(g(x)) = f(x+4) = (x-4)+4
= x-4+4 = x
i.e. f(g(x)) =x
g(f(x))= g(x-4) = (x-4)+4 =x
i.e. g(f(x))=x
Hence, f(g(x)) =x and g(f(x))=x and f and g are inverses.
Based on the number of seats on the balcony, the number of seats in the theatre are 600 seats.
<h3>What number of seats does the theatre have?</h3>
The balcony is said to have 120 seats and these are 1/5 of the total seats in the theatre.
The total number of seats in the theatre are:
= Number of seats on balcony / Proportion of seats this represents
Solving gives:
= 120 ÷ 1/5
= 120 ÷ 0.2
= 600 seats
Find out more on ratios and proportions at brainly.com/question/11041750.
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