So first you have to find the perfect square that matches up with x^2 + 6x
so half of 6, and square it. your perfect square is 9
x^2 + 6x + 9 = 7 + 9
then, condense the left side of the equation into a squared binomial:
(x + 3)^2 = 16
take the square root of both sides:
x + 3 = ± √16
therefore:
x + 3 = ± 4
x = - 3 ± 4
so your solution set is:
x = 1, -7
Answer:
The correct answer is: 980 pounds
Step-by-step explanation:
1 flower pot = 28 pounds
1 crate = 35 pots
∴ 1 crate = 35 pots × 28 pounds = 980 pounds
Answer:
Step-by-step explanation:
Answer:
Option (3). 0.25(22 - d) + d = 10.75
Step-by-step explanation:
Total number of coins Giuliana has = 22
Let the number dollar coins Giuliana has = d
Number of quarters with Giuliana = (22 - d)
Value of dollar coins and quarters = $10.75
So the equation will be,
Number of dollars coins × $1 + Number of quarters × $0.25 = $10.75
d + 0.25 × (22 - d) = 10.75
Therefore, to determine the number of dollars with Giuliana equation will be used,
d + 0.25(22 - d) = 10.75
Option (3) will be the answer.
