Step-by-step explanation:
l x 3 = c
k + 5 = l
(c + l + k) x 2 = 25
c = 33
l = 11
k = 6
The ordered pairs already plotted have x-coordinates: -3, -2, 1, and 2.
A function cannot have two ordered pairs with the same x-coordinate.
The answer cannot have -3, -2, 1, or 2 as the x-coordinate.
Answer: First choice (-1, 2)
Answer:
128 ÷ 16 = 8
so 8 dog food for every dog
Answer:
Each shirt cost $12
Step-by-step explanation:
First, we have to interpret this question and turn each to an equation, letting shirts represent the letter s and ties represent the letter t.
6 shirts and 3 ties cost $79.50 would be interpreted to 6s+3t=79.5 ,and 3 shirts and 2 ties cost $41 would be interpreted to 3s+2t=41
Hence we have two equations, and we solve them simultaneously.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We can either use the substitution method or the elimination method but for the sake of this question, we use the Elimination method.
6s+3t=79.5 (Equation 1)
3s+2t=41 (Equation 2)
We multiply equation 1 by 2 and we multiply equation 2 by 3, I'm prefer to eliminate the
2(6s+3t=79.5)
12s+6t=159 Equation 3
3(3s+2t=41)
9s+6t=123 Equation 4
We subtract equation 4 from equation 3.
12s+6t=159
9s+6t=123
12s-9s=3s
6t-6t=0
159-123=36
We therefore have
3s=36
Divide both sides by 3
s=36/3
s=12
One shirt cost $12
Answer:
3x² + 6x - 24 = 0
(3x - 6)(x + 4) = 0
x = -4 , x = 2 when y = 0
Step-by-step explanation:
3x² + 6x - 24 = 0
(3x - 6)(x + 4) = 0
Means
3x - 6 = 0 ⇒ 3x = 6 ⇒ x = 6 ÷ 3 = 2
x + 4 = 0 ⇒ x = -4
The Parabola which represents the quadratic equation intersects x-axis at
points (2 , 0) and (-4 , 0)
