Answer:
x ∈ {-2, 1, 4}
Step-by-step explanation:
The graph shows y = 0 when x = -2 or 1 or 4. Hence these values of x are the zeros of the function.
Answer:
2 1/2 cups of flour
Step-by-step explanation:
Priya is making 3 loaves of bread, so she will use 7 1/2 cups of flour.
Andre is making 1 loaf of bread, which is 1/3 the amount of loaves Priya is making. So, he will be using 1/3 the amount of flour Priya is using. So all we have to do is take 7 1/2 and divide it by 3:
7.5/3 = 2.5
Andre will use 2 1/2 cups of flour.
Answer:
556
Step-by-step explanation:
Surface area of the cuboid=2*(lb+bh+lh)
Surface area=2*(110+80+88)=556
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.
_____
<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.