Answer:
The last option
Step-by-step explanation:
Answer:
6x ( 3x +4)
X =0 and x = 4/3 or x = 1 1/3
Step-by-step explanation:
Take the common factors out,
Here x is common to both equation and also 6 is common to both equation
So,
6x ( 3x + 4) = 0
So it can be solved by
X = 0 and x = 4/3
Answer:
- dimensions: 12 ft by 5 ft
- area: 60 ft²
Step-by-step explanation:
Let x represent the shorter dimension in feet. Then the longer one is x+7 and the Pythagorean theorem tells us the relation of these to the diagonal is ...
x² + (x+7)² = 13²
2x² +14x + 49 = 169 . . . . eliminate parentheses
x² +7x -60 = 0 . . . . . subtract 169 and divide by 2
(x +12)(x -5) = 0 . . . . factor the equation
x = -12 or +5 . . . . . . . only the positive value of x is useful here.
The short dimension is 5 ft, so the long dimension is 12 ft. The area is their product, 60 ft².
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<em>Comment on finding the area</em>
The quadratic equation above can be rearranged and factored as ...
x(x +7) = 60
Since the dimensions of the garden are x and (x+7), this product is the garden's area. This equation tells us the area is 60. We don't actually have to find the dimensions.
Answer: Diego buys about 3 pounds of blueberries, b
Step-by-step explanation: Lets write an equation to solve for b, how many pounds of blueberries he bought.
4.99b=14.95
Solve:
4.99b divided by 4.99 = 14.95 divided by 4.99
b = 3
