Are you trying to distribute the b^4 or factor it?
b^4 [(2b^2) + b]
Distributed:
[2(b^6) + (b^5)]
Factored:
b^5 [2b + 1]
X=⁻3 and x=1
because
a+b=2 which means a=3 and b=⁻1 which added up equals 2
a×b=⁻22 which means that 11 which is a×⁻2 which is b=⁻22
Answer:
Horizontal shift of 4 units to the left.
Vertical translation of 8 units downward.
Step-by-step explanation:
Given the quadratic function, y = (x + 4)² - 8, which represents the horizontal and vertical translations of the parent graph, y = x²:
The vertex form of the quadratic function is y = a(x - h)² + k
Where:
The vertex is (h , k), which is either the <u>minimum</u> (upward facing graph) or <u>maximum</u> (downward-facing graph).
The axis of symmetry occurs at <em>x = h</em>.
<em>a</em> = determines whether the graph opens up or down, and makes the graph wider or narrower.
<em>h</em> = determines how far left or right the parent function is translated.
<em>k</em> = determines how far up or down the parent function is translated.
Going back to your quadratic function,
y = (x + 4)² - 8
- The vertex occrs at (-4, -8)
- a is assumed to have a value of 1.
- Given the value of <em>h</em> = -4, then it means that the graph shifted horizontally by <u>4 units to the left</u>.
- Since k = -8, then it implies that the graph translated vertically at <u>8 units downward</u>.
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Answer:
<h2>x = 3.1</h2>
Step-by-step explanation:
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<u>To solve first take logarithm to both sides</u>
That's
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</h3>
But
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So we have
<u>Write 1200 as a number with the factor 100</u>
That's
1200 = 100 × 12
So we have
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</h3>
<u>Using the rules of logarithms</u>
That's
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Rewrite the expression
That's
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</h3><h3>
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</h3>
x = 3.079
So we have the final answer as
<h3>x = 3.1 to one decimal place</h3>
Hope this helps you
Just add 32 + 33 = 65. 65 would be the minimum amount.
