Answer:
x = - 2, x = 3
Step-by-step explanation:
Given
x² - x - 6 = 0
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are + 2 and - 3 , since
2 × - 3 = - 6 and 2 - 3 = - 1 , then
(x + 2)(x - 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x - 3 = 0 ⇒ x = 3
Answer:
You can't answer this question without knowing the total amount of money they all had in total.
The four interior angles of a quadrilateral always add to 360<span>°, so the answer is 98</span>
Answer:
<em>12 scoops of dog food are needed for 6 dogs,</em>
Step-by-step explanation:
<u>Proportions</u>
The number of scoops of dog foods and the number of dogs are proportional variables.
We are given that 10 scoops of dog foods are used for 5 dogs. This gives a proportion of 10/5=2 scoops per dog.
We also know that 16 scoops are used for 8 dogs. The proportion is also 16/8=2 scoops per dog.
Thus, the constant of proportionality is 2.
For 6 dogs, you need to prepare 2*6 = 12 scoops of dog food.
12 scoops of dog food are needed for 6 dogs,