Answer:
g(x) = (-1/25)x + (203/25)
Step-by-step explanation:
The general equation for a line is slope-intercept form is:
y = mx + b
In this form, "m" represents the slope and "b" represents the y-intercept.
We know that perpendicular lines have opposite-signed, reciprocal slopes of the original line. Therefore, if the slope of f(x) is m = 25, the slope of g(x) must be m = (-1/25).
To find the y-intercept, we can use the newfound slope and the values from the given point to isolate "b".
g(x) = mx + b <----- General equation
g(x) = (-1/25)x + b <----- Plug (-1/25) in "m"
8 = (-1/25)(3) + b <----- Plug in "x" and "y" from point
8 = (-3/25) + b <----- Multiply (1/25) and 3
200/25 = (-3/25) + b <----- Covert 8 to a fraction
203/25 = b <----- Add (3/25) to both sides
Now that we know both the values of the slope and y-intercept, we can construct the equation of g(x).
g(x) = (-1/25)x + (203/25)
Answer is C) 6
36 + 3(4x - 9) = 6(2x + 1)
36 + 12x - 27 = 12x + 6
12x - 12x = 6 - 9
0 ≠ -3
No solution
Answer:
7th Grade ELAR Snapshot
Step-by-step explanation:
I’m sorry, need more information
The total of 42 swimmers are competing
Step-by-step explanation:
The given is:
- The ratio of runners to swimmers was 3 : 2
- When 28 runners dropped out of the competition, the ratio became 5 : 6
We need to find how many total swimmers are competing
∵ The ratio of runners to swimmers was 3 : 2
- Multiply each term of the ratio by x
∴ There are 3x runners and 2x swimmers
∵ 28 runners dropped out of the competition
∴ The number of runners who complete = 3x - 28
∵ The ratio became 5 : 6
- Equate the ratio between the new number of runners and the
number of swimmers by 5 : 6
∵ The new number of runners = 3x - 28
∵ The number of swimmers = 2x
∴ 
- By using cross multiplication
∴ 6(3x - 28) = 5(2x)
- Simplify both sides
∴ 18x - 168 = 10x
- Add 168 to both sides
∴ 18x = 10x + 168
- Subtract 10x from both sides
∴ 8x = 168
- Divide both sides by 8
∴ x = 21
∵ The number of swimmers is 2x
∵ x = 21
∴ The number of swimmers = 2(21) = 42
The total of 42 swimmers are competing
Learn more:
You can learn more about the ratio in brainly.com/question/2707032
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