Answer:
y = -x + 1
Step-by-step explanation:
The slope-intercept formula is y = mx + b where m is the slope and b is the y-intercept. Since slope is...

this means that the slope of the line is -1 (the rise is -1, the run is 1, -1/1 = -1). By looking at the graph you can also see that the line goes through 1 on the y-axis, so the y-intercept is 1. By plugging in the appropriate values, the equation of the line is y = -1x + 1 or just y = -x + 1
Answer: number 1 . 6688.5 then rounded is 6689.
Number 2. 2475
Step-by-step explanation:
The answer would be 32/5 or 6 2/5 or 6.4
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(9)^4 × (27)^3 × (81)^2 / (3)^24 = 3.
Explanation:
- All the numbers in the numerator i.e. 9, 27, 81 are multiples of 3.
- 9 = 3 × 3 = 3², 27 = 3 × 3 × 3 = 3³, 81 = 3 × 3 × 3 × 3 =
.
= (3^2)^4, 27³ = (3^3)^3, 81^2 = (3^4)^2.- According to the power rule, (a^x)^y = a^xy.
- So the given numbers can be written as follows
= 3^8, 27³ = 3^9 and 81² = 3^8. - According to the product rule, (a^x) × (a^y) = a^xy.
- So the numerator can be written as
× 27³ × 81² = (3^8) × (3^9) × (3^8) = 3^(8+9+8) = 3^25. - So the fraction becomes 3^25 / 3^24 = 3 × 3^24 / 3^24 = 3.