Given:
The equation is:
Find-:
Binomials factor of the equation
Explanation-:
The quadratic equation,
Solve for factor
Then the factor is:
So, the factor is x + 4
Answer:the cost of one day lily = $9 and cost of one pot of ivy = $2
Step-by-step explanation:
Step 1
let day lilies be rep as d
and ivy be represented as i
So that The expression for what Willie spent on 12 day lilies and 4 pots of ivy = $116 be
12 d+ 4i = 116 ---- equation 1
and for Anjali spending $60 on 6 day lilies and 3 pots of ivy be
6d+ 3i = $60------ equation 2
Step 2 --- Solving
12 d+ 4i = 116 ---- equation 1
6d+ 3i = $60------ equation 2
Multiply equation 2 by (2) and subtracting equation 1 from it
12d+ 6i= 120
--12 d+ 4i = 116
2 i= 4
i = 4/2 = 2
TO find d, putting the value of i = 2 in equation 1 and solving
12d+ 4(2) = 116
12d= 116-8
12d= 108
d= 108/12= 9
Therefore the cost of one day lily = $9 and cost of one pot of ivy = $2
Answer:
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Step-by-step explanation:
Let us represent:
The number of liters of 25% acid solution = x
The number of liters of 40% acid solution = y
Our system of Equations =
x + y = 240 liters....... Equation 1
x = 240 - y
A 25% acid solution must be added to a 40% solution to get 240 liters of 30% acid solution.
25% × x + 40% × y = 240 liters × 30%
0.25x+ 0.4y = 72...... Equation 2
We substitute 240 - y for x in Equation 2
0.25(240 - y)+ 0.4y = 72
60 - 0.25y + 0.4y = 72
Collect like terms
- 0.25y + 0.4y = 72 - 60
0.15y = 12
y = 12/0.15
y = 80 Liters
Solving for x
x = 240 - y
x = 240 liters - 80 Liters
x = 160 liters
Therefore,
The number of liters of 25% acid solution = x = 160 liters
The number of liters of 40% acid solution = y = 80 liters
Answer:
k = -9
Step-by-step explanation:
subtract 2k from both sides
_5k+8= -37
subtract 8
_5k = -45
divide by 5
_k = -9
