(5.13x10^-2)-(3.9x10^-3)
1 answer:
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Answer:
Step-by-step explanation:
To find many more pounds of apples Kimane and his friend needs to get, we first need to find out how many pounds of apples they picked together.
Kimane =
Friend =
We add them together to find out how many pounds of apples they currently have.
Total Pounds =
Just to make the equation clearer, we separate the whole numbers from the fractions.
Now since we cannot add the 2 fractions directly since they have different denominators, we need to convert the into a fraction with the same denominator.
We multiply both the numerator and denominator by 2 to have the same denominator.
So now we have:
Now that we know how many pounds Kimane and his friend collected, we simply subtract 20 and the total amount Kimane and his friend had already collected.
So Kimane and his friend still need to get more pounds of apples to get 20 pounds of apples.
Answer:
y = -3(x - 4)² - 2
Step-by-step explanation:
Given the vertex, (4, -2), and the point (2, -14):
We can use the vertex form of the quadratic equation:
y = a(x - h)² + k
Where:
(h, k) = vertex
a = determines whether the graph opens up or down, and it also makes the parent function <u>wider</u> or <u>narrower</u>.
- <u>positive</u> value of a = opens <u><em>upward</em></u>
- <u>negative</u> value of a = opens <u><em>downward</em></u>
- a is between 0 and 1, (0 < a < 1) the graph is <u><em>wider</em></u> than the parent function.
- a > 1, the graph is <u><em>narrower</em></u> than the parent function.
<em>h </em>=<em> </em>determines how far left or right the parent function is translated.
- h = positive, the function is translated <em>h</em> units to the right.
- h = negative, the function is translated |<em>h</em>| units to the left.
<em>k</em> determines how far up or down the parent function is translated.
- k = positive: translate <em>k</em> units <u><em>up</em></u>.
- k = negative, translate <em>k</em> units <u><em>down</em></u>.
Now that I've set up the definitions for each variable of the vertex form, we can determine the quadratic equation using the given vertex and the point:
vertex (h, k): (4, -2)
point (x, y): (2, -14)
Substitute these values into the vertex form to solve for a:
y = a(x - h)² + k
-14 = a(2 - 4)² -2
-14 = a (-2)² -2
-14 = a4 + -2
Add to to both sides:
-14 + 2 = a4 + -2 + 2
-12 = 4a
Divide both sides by 4 to solve for a:
-12/4 = 4a/4
-3 = a
Therefore, the quadratic equation inI vertex form is:
y = -3(x - 4)² - 2
The parabola is downward-facing, and is vertically compressed by a factor of -3. The graph is also horizontally translated 4 units to the right, and vertically translated 2 units down.
Attached is a screenshot of the graph where it shows the vertex and the given point, using the vertex form that I came up with.
Please mark my answers as the Brainliest, if you find this helpful :)
