What is f + 3pie = 7pie ?
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I think I conducted the equation correctly (:
f = 12.56
Related Questions
Michael works at a furniture store. He makes a commission for every piece of furniture he sells. He sold a couch for $1245 and received a check for $62.25. What was the % of commission he made? A. 5% B. 6% C. 7% D. 8%
the area of a rectangle is 54 cm. The length is 2 cm more than x and the width is 5 cm less than twice x. Slove for x. round your answer to the nearest whole number.
Help with a and b? Thank you
Quick i need help!! Please
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1. Do a proportion
160 pages/ 4 hours= x/ 6 hours
2. Do 160 times 6 which equals 960
3. Do 960 divided by 4 which equals 240
4. Your answer is
240 pages
160/4=x/6
4x=960 (cross multiplied)
x=240 (divided by 4 to both sides)
therefore 240 pages in 6 hours
1. y = - (x + 4)2
2. y = - (x + 2)2 - 2
3. y = (x - 2)2
4. y = 2 - (x + 2)2
5. y = -x2
6. y = (x + 2)2
A. Reflected across the x-axis and the y-axis
B. Translated right by 2 units
C. Translated up by 2 units
D. Reflected across the x-axis
E. Translated left by 2 units
F. Translated down by 2 units
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Always remember general rules of transformation.
1) Vertical Shift:
y= f(x)+k ; shifts the graph of f up k units if k>0, shifts it down |k| units if k<0.
2) Horizontal Shift:
y=f(x+h) ; shifts the graph of f left h units if h>0, shifts it right |h| units if h<0.
3) Reflection across x-axis
y= - f(x) ; reflect the graph of f across the x-axis.
Now,
The parent function is y= -(x+2)²
1. y= -(x+4)²
In this question +2 is added with x+2 and becomes y= -(x+2+2)²=-(x+4)²
So, according to rule 2 it will shift the parent function to the left by 2 units.
E is the correct option.
2. y = - (x + 2)² - 2
In this question, -2 is added to the parent function and we get y= - (x + 2)² - 2
So, according to rule 1, it will shift the graph down by 2 units.
F is the correct option.
3. y=(x - 2)²
In this question, two operations are performed on the parent function.
First one, -4 is added with x+2 so we get x+2-4= x-2
Second one, -1 is multiplied with parent function.
By performing the two operations at a time we get a new function which is
y=-(-(x+2-4)²)=(x-2)²
The first operation will translate the parent function 4 units right (according to rule 2).
The second operation will reflect the graph across x-axis(according to rule 3).
D and translation 4 units to right is correct option.
4. y= 2 -(x+2)²
In this question, we add +2 to the parent function so according to rule 1 it will shift the graph up by 2 units.
C is the correct option.
5. y= -x²
In this question, we add -2 to x+2 so we get a new function y= -(x+2-2)²=-x²
So, according to rule 2 it will shift the graph right by 2 units.
B is the correct option.
6. y= (x+2)²
In this question, -1 is multiplied with parent function and we get
y= -(-(x+2)²)= (x+2)²
So, according to rule 3 , graph is reflected across x-axis.
D is the correct answer.
The graph of parent function and question no. 1,2,3 are attached separately, while question no. 4,5,6 are attached in combined form(due to space limit).
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hope this helps
15/100
this is the easiest way to learn how to turn numbers like these in fractions is if you put a10 or 100 behind them
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(1 + tan2u)(1 - sin2u) = 1
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because tanu = sinu / cosu ⇒ tan^2u = sin^2u / con^2u
(1 + sin^2u/cos^2u)(1 - sin^2u) =
(cos^2u/cos^2u + sin^2u/cos^2u)(1 - sin^2u) =
((cos^2u + sin^2u)/(cos^2u)) (1 - sin^2u) =
and because cos^2u + sin^2u = 1 we'll have
(1/(cos^2u)) (1 - sin^2u) =
1/(cos^2u) - sin^2u/(cos^2u) =
(1 - sin^2u) / (cos^2u) =
notice that 1 - sin^2u is equal to cos^2u
cos^2u / cos^2u = 1