Answer:
a) y = 6x - 3
b) 1/3y = 2x -1
The first thing you need to do is isolate (y) in the second equation
3 x (1/3y) = 3 x (2x - 1)
y =6x - 3
After isolating (y) in equation b they end up being the same.
Graphing:
In order to graph this, you have to make the first point at (0, -3) since this is the Y-intercept of the equation.
In order to graph the other points, you must move 6 units up and 1 unit to the right. Or vise versa If you need a visual I'll gladly link one.
Answer:
maximum is 16,853 cell phones
≤ 18.853
Step-by-step explanation:
1,176,912.42. per quarter budget
247,638.00 per quarter fixed cost
We subtract then divide the amount cost of phones and ensure its less or rounded down.
1,176,912.42 -247,638 = 929274.42
929274.42 / 55.14 = 16853
16,852 < m ≤ 16,853
Step-by-step explanation:
5. Let the equation of the line be y = mx + c
m = (6-15)/(2-(-1)) = -3
sub (2, 6) and m = -3:
6 = -3(2) + c
c = 12
Equation of the line: y = -3x + 12
6. Let the equation of the line be y = mx + c
y-intercept of 7 means c = 7
y = mx + 7
x-intercept: value of x when y = 0
therefore, sub (4, 0):
0 = m(4) + 7
m = -7/4
Equation of the line: y = -7/4x + 7
this is a topic on coordinate geometry. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic soon and will also be posting other topics' notes and some tips :)
Answer:
(1) C
(2) D
(3) B
(4) B
(5) C
Step-by-step explanation:
(1) % decrease = change in price/initial price × 100 = (25 -20)/25 × 100 = 5/25 × 100 = 20
(2) Number of correct answers he answered in the second test = 150 + (30/100 × 150) = 150 + 45 = 195
(3) Let the number be y
3(y + 2) = 24
y + 2 = 24/3 = 8
y + 2 = 8
y = 8 - 2 = 6
(4) Let my father's age be f, my brother's age be b and my age be m
From the first statement
f/5 = b/3 ----- eqn (1)
From the second statement
b = m + 3 ----- eqn (2)
From the third statement
f = 2m - 3 ------ eqn (3)
Substitute the expression of b and f in eqn 2 & 3 into eqn 1
(2m - 3)/5 = (m + 3)/3
3(2m - 3) = 5(m + 3)
6m - 9 = 5m + 15
6m - 5m = 15 + 9
m = 24
Substitute the value of m into eqn 3
f = 2m - 3 = 2(24) - 3 = 48 - 3 = 45
(5) (x - 2)/4 - (3x + 5)/7 = -3
The LCM of 4 and 7 is 28
Multiply each term in the equation by 28
7(x - 2) -4(3x + 5) = -3(28)
7x - 14 - 12x - 20 = -84
-5x - 34 = -84
-5x = -84 + 34
-5x = -50
x = -50/-5 = 10
