Convert the following numbers of calories or
1 answer:
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Answer:
x = 125
Step-by-step explanation:
Given
= 25
Multiply both sides by 5 to clear the fraction
x = 5 × 25 = 125
x = 125
- Put brackets around the first two terms on the right. y = (-4x^2 - 16x) - 14
- Pull out the common factor in the first two terms. y = -4(x^2 + 4x) - 14
- Divide the middle term by 2. Add that inside the brackets. square y = -4(x^2 +4x +(4/2)^2 - 14
- y = -4(x^2 + 4x + 4) - 14 + 16 This is the step where most people stumble. The point is why is 16 added? It is because what you have done inside the brackets is multiplied 4 by - 4 (on the left). That means you have changed the equation by -16. To counter that, you must add 16 after the - 14. The result is y= -4(x^2 + 4x+4) + 2
- Express the terms inside the brackets as a square. y = - 4(x + 2)^2 + 2
B and D are both wrong. B has +4 outside the brackets. It is - 4
D is wrong because there is no 4 of any kind outside the brackets.
A is incorrectly represented inside the brackets as 16. That's not right
That only leaves C. <<<< Answer
Graphs
Notice that the red parabola and the green one are the same thing.
Red: y = -4x^2 - 16x - 14
Green: y = -4(x + 2)^2 + 2
Answer:
The diameter is 36 inches
Step-by-step explanation:
The volume of a sphere is
The given sphere has volume
We can now equate the formula to the given volume and solve for r.
The diameter of the sphere is twice the radius.
Hence