(0,-100) should be your answer, but do some research beforehand. If my answer is incorrect, please tell me so-- I'll try to correct my answer.
2.75 is 110%
2.75/1.1=2.50
Therefore, the main bill was two and a half dollars
It is the graph of f(x) = x^2 vertically compressed, and then translated 3 units up and 5 units to the right.
<h3>Transformation techniques</h3>
Transformation is a process of changing the size and shape of an object. The given graph is a graph of quadratic function with parent function x².
According to the graph shown the resulting parent function has been shifted horizontally to the right by 5 units to produce g(x) = f(x) - 5
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Answer:
1. y = 4x - 27
2. y = -4x - 15
Step-by-step explanation:
If two lines are parallel, then they have the same slope. So, the slope of the line we are looking for needs to be 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (8, 5) because it needs to be on the line:
y - 5 = 4(x - 8)
We can distribute:
y - 5 = 4x - 32
y = 4x - 27
We are not given the slope-intercept form, so we must divide both sides by two to get it:
y = 1/4 x + 8
A perpendicular line has the slope that is the negative reciprocal of the one that is given. So, the slope of the line would be - 4. We can start by writing a point-slope equation:
y - y1 = m(x - x1)
We can substitute the values we have, the point we are using is (-5, 5) because it needs to be on the line:
y - 5 = -4(x + 5)
We can distribute:
y - 5 = -4x - 20
y = -4x - 15
The coefficient of t to the 4th power in the given expansion is -167403915.
Option (c) is the correct answer.
<h3>What is an expansion?</h3>
An expansion of a product of sums uses the fact that multiplication distributes across addition to represent it as a sum of products. A polynomial expression can be expanded by repeatedly substituting equivalent sum of products for subexpressions that multiply two other subexpressions, at least one of which is an addition, up until the expression becomes a sum of (repeated) products. Simplifications like grouping similar terms or canceling terms may also be used during the expansion.
Given expansion=![(-9t-9)^{7}](https://tex.z-dn.net/?f=%28-9t-9%29%5E%7B7%7D)
Coefficient of the 4th power of t in the expansion,
=![_{7} {C} _{7-4} (-9t)^{4}(-9)^{7-4}](https://tex.z-dn.net/?f=_%7B7%7D%20%7BC%7D%20_%7B7-4%7D%20%28-9t%29%5E%7B4%7D%28-9%29%5E%7B7-4%7D)
=![_{7}C_{3}(-9)^{4}t^{4}(-9)^{3}](https://tex.z-dn.net/?f=_%7B7%7DC_%7B3%7D%28-9%29%5E%7B4%7Dt%5E%7B4%7D%28-9%29%5E%7B3%7D)
=![_{7}C_{3}(-9)^{7}t^{4}](https://tex.z-dn.net/?f=_%7B7%7DC_%7B3%7D%28-9%29%5E%7B7%7Dt%5E%7B4%7D)
=![35t^{4}(-9)^{7} \\](https://tex.z-dn.net/?f=35t%5E%7B4%7D%28-9%29%5E%7B7%7D%20%20%5C%5C)
=![35t^{4}(4782969)](https://tex.z-dn.net/?f=35t%5E%7B4%7D%284782969%29)
= -167403915![t^{4}](https://tex.z-dn.net/?f=t%5E%7B4%7D)
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