58*0.71= around 41.2 grams of coco. This is because we can multiply to get this.
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Answer:
Part A) x = -3
Part B) x = 1, x = -7
Part C) x < -7
Part D) 2
Step-by-step explanation:
<h3>Part A)</h3>
2(x - 3) = 3x - 3
<em>open the parenthesis</em>
2 * x - 2 * 3 = 3x - 3
2x - 6 = 3x - 3
<em>subtract 2x from both sides</em>
2x - 2x - 6 = 3x - 2x - 3
-6 = x - 3
<em>add 3 to both sides</em>
-6 + 3 = x
-3 = x
<h3>
Part B)</h3>
|2x + 6| = 8
<em>split this into two equations:</em>
<em>2x + 6 = 8</em>
<em>&</em>
<em>2x + 6 = -8</em>
2x + 6 = 8
2x = 8-6
2x = 2
x = 1
2x + 6 = -8
2x = -8 - 6
2x = -14
x = -7
<h3>Part C)</h3>
-5(x + 1) > 30
<em>open the parenthesis</em>
-5x - 5 > 30
<em>add 5 to both sides</em>
-5x > 35
<em>divide both sides by -5</em>
x > -7
<em>since you divided by a negative, flip the sign.</em>
x < -7
<h3>
Part D)</h3>
f(x) = 4x - 3
<em>substitute x for 5</em>
5 = 4x - 3
5 + 3 = 4x
8 = 4x
2 = x
A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
It's not just the '4' that is important, it's '4a' that matters.
This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable.
For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)
Answer:
2x^2-4x-16
Step-by-step explanation:
12. I’m sorry I’m horrible at word problems
13. C
14. C