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Washington high school's head tennis coach, Ms. racket, runs a tennis camp for middle school students every summer. the students bring their own lunches, but Ms. racket provides them with snacks. there is a proportional relationship between the number of students who enroll in Ms. racket's tennis camp, x, and the total number of snacks she buys, y. what is the constant of proportionality? write your answer as a whole number or decimal. snacks per student.
X Y
10 30
13 39
14 42
21 63
The constant of proportionality is 3 as for 1 student she buys 3 snacks.
The constant of proportionality means the ratio between the terms x and y.
It is calculated by dividing y by x.
Here we get that:
X Y constant of proportionality(Y/X)
10 30 3
13 39 3
14 42 3
21 63 3
Therefore, we get the constant of proportionality as 3.
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9514 1404 393
Answer:
- -51
- -30
- -60
- 2 or -2
Step-by-step explanation:
The function puts a minus sign on 3 times the magnitude of the input.
1. y = -|3×17| = -51
2. y = -|3×10| = -30
3. y = -|3×20| = -60
4. -6 = -|3x|
2 = |x| . . . . divide by -3
x = ±2 . . . . two possibilities
Answer:
f(- 2) = - 9.2
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 3.6(- 2) - 2 = - 7.2 - 2 = - 9.2
Given:
Angled formed by ray BA and ray BC is 90 degrees.
To find:
The equation of line that bisects the angle formed by ray BA and ray BC.
Solution:
If a line bisects the angle formed by ray BA and ray BC, then it must be passes through point B and makes angles of 45 degrees with ray BA and ray BC.
It is possible if the line passes though point B(-1,3) and other point (-2,4).
Equation of line is
Add 3 on both sides.
Therefore, the required equation of line is .
So first you distribute the negative to the 6x and 13 which will flip the sign of both of them to -6x and -13 so take away the parentheses and the equation is now 7x-6x-13. You combine the x’s and you get 1x-13 or x-13
