Answer:
The solution of the equations are -6 and 1
Step-by-step explanation:
* <em>Lets explain how to solve the problem</em>
- We want to find the solution of the equation (x + 2) (x + 3) = 12
- <em>At first lets use the Foil method to multiply the two brackets</em>
(x + 2) (x + 3) = (x)(x) + (x)(3) + (2)(x) + (2)(3)
(x + 2) (x + 3) = x² + 3x + 2x + 6 ⇒ add the like term
(x + 2) (x + 3) = x² + 5x + 6
∵ (x + 2) (x + 3) = 12
∴ x² + 5x + 6 = 12
- Subtract 12 from both sides
∴ x² + 5x - 6 = 0
- <em>Factorize the left hand side</em>
∵ x² = (x)(x)
∵ -6 = 6 × -1
∵ 6x + -1x = 5x
∴ (x + 6)(x - 1) = 0
- <em>Lets use the zero product property </em>
∵ (x + 6)(x - 1) = 0
∴ x + 6 = 0 ⇒ <em>OR</em> ⇒ x - 1 = 0
∵ x + 6 = 0
- Subtract 6 from both sides
∴ x = -6
∵ x - 1 = 0
- Add 1 to both sides
∴ x = 1
∴ The solution of the equations are -6 and 1
Answer and Step-by-step explanation:
Let
Number of chocolate chip cookies = x
Number of oatmeal brownie cookies = y
Bake chocolate chip cookies up to 20 dozen = x≤ 20
Bake oatmeal brownies up to 40 dozen= y≤40
Total cookies = x + y ≤ 50
Number of oatmeal brownie will be no more than three times the number of chocolate chip= y≤3x
From the inequality:
X + y=50
y = 3x
By putting the value of y, we get
x + 3x = 50
4x = 50
X = 12.5
By putting the value of x=12.5 in equation y = 3x, we get
Y = 3(12.5)
= 37.5
Craig should make 12.5 dozen chocolate chip and 37.5 dozen oatmeal brownies in order to make more money.
Answer is D because you can't simplify 12/70.
(At least... not on the answers)
Answer:
I can't answer the question because you never gave the price for the 24 ounce can of cashews you only gave the price for the 14 ounce of cashews that was $3.50
Answer:
1.0 g element will be remaining after 19 minutes
Step-by-step explanation:
