Answer:
A. y = -⅓x + 3
Step-by-step explanation:
Find the equation of the graph bin slope-intercept form, y = mx + b. Where,
m = slope = ∆y/∆x
Using two points on the line, (0, 3) and (3, 2),
Slope (m) = (2 - 3)/(3 - 0) = -1/3
m = -⅓
b = y-intercept = 3 (the y-coordinate of the point where the line crosses the y-axis)
✅To write the equation, substitute m = -⅓ and b = 3 into y = mx + b
Thus:
y = -⅓x + 3
Answer:
41. f⁻¹(x) = -9x + 4
43. m⁻¹(x) = ∛(x-2)/4
Step-by-step explanation:
41. y = (4-x)/9
swap x and y: x = (4-y)/9
solve y: 9x = 4-y
y = -9x + 4
45. y = 4x³+2
x = 4y³+2
4y³ = x-2
y³ = (x-2)/4
y = ∛(x-2)/4
Let you do 42 and 46 by yourself
The answer for this problem is -8x+2
Answer:
1. 4 nights
2. $154
Step-by-step explanation:
1. The airfare is a fixed cost, and the cost of staying at the hotel for n nights is 98 * n. So, we add this up: 478 + 93n. This cost can be <em>no more than</em> 850 because that's Jenna's budget limit. So, we have:
478 + 93n ≤ 850
Subtract 478 from both sides:
93n ≤ 372
Divide by 93:
n ≤ 4
The maximum number of nights is 4 nights.
2. Abigail currently has $45 and she needs m more dollars in order to achieve her goal of <em>at least</em> $199. Seeing "at least", we know that we need to use the ≥ sign:
45 + m ≥ 199
Subtract 45 from both sides:
m ≥ 154
Abigail still needs at least $154.
Hope this helps!
