Given the equation 2y = 5x - 3:
A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.
A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.
B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.
C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.
D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.
E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.
Therefore, the correct answer is Option D: (3, 6).
Answer:
13. Linear Function
12. Absolute Value Function
11. Quadratic Function
10. Constant and Linear Function
Step-by-step explanation:
13. This graph is in Slope-Intercept Form, 
. The equation of this line is 
.
12. This graph obviously is an Absolute Value graph because it is in the shape of a "V".
11. This graph is in the shape of a parabola, so it is considered "Quadratic".
10. This line is constant because it is a horizontal line, but it is ALSO considered a linear function<em> </em>because it is in the form of , and the equation of this line is 
, where you have NO <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>]. This is what you call horizontal lines, zero slopes.
I am joyous to assist you anytime.
Equation that represents therelationship between the nmber of weeks and total amount of money marcus will have saved is
Y= 5x+42
-5x +y =42
He currently has $42 with planning to save $5 each week. So, $5 per week is the slope and $42 is the y intercept.
Answer:
5 Miles
Step-by-step explanation:
5 Miles = 1 Miles = $2 X 5 = $10
1 Person = $1
Therefore 2 People = $1 X 2
Answer:
a. 5,040 ways
b. 210 ways
Step-by-step explanation:
a) We want to pick 4 numbers out of 10 given that orders matter
If orders do matter, it will be a permutation problem
Mathematically;
n P r = n!/(n-r)!
In this case, n is 10 and r is 4
Thus, we have it that;
10 P 4 = 10!/(10-4)! = 5,040
b) if orders do not matter
It will be a combination problem
n C r = n!/(n-r)!r!
n = 10 and r = 4
10 C 4 = 10! /(10-4)!4!
= 210
