Answer:
Translations
y = f (x) + k up k units
y = f (x) - k down k units
y = f (x + h) left h units
y = f (x - h) right h units
Stretches/Shrinks
y = m·f (x) stretch vertically by a factor of m
y = ·f (x) shrink vertically by a factor of m (stretch by
y = f (x) stretch horizonally by a factor of n
y = f (nx) shrink horizontally by a factor of n (stretch by )
Reflections
y = - f (x) reflect over x-axis (over line y = 0)
y = f (- x) reflect over y-axis (over line x = 0)
x = f (y) reflect over line y = x
Hope this helps
Step-by-step explanation:
Which of the following functions are solutions of the differential equation y'' + y = 3 sin x? (select all that apply)
(a) y = 3sinx
(b) y = 3xsinx - 5xcosx
(c) y = -3 / 2xcosx
(d) y = 3cosx
(e) y = 3 / 2xsinx
Answer:
C
Step-by-step explanation:
We must compute the derivatives and check if the equation is satisfied.
A. . Differentiate again to get , then so this choice of y doesn't solve the equation.
B. and , then so y is not a solution
C. hence . Then so y is a solution.
D. and , then thus y isn't a solution
E. hence . Then then y is not a solution.
rachel is setting up for her birthday . rachel wants to put the same number of chairs around each table . how many chairs will rachel place around each table at her birthday party ?
choices
3
4
5
6
Answer:
6 chairs around each table
Step-by-step explanation:
just did it
1. Simplify (–6x2 + x – 5) + (9x2 – 3x+6).
Answer:
= 7-2x. is the answer :p
Wha t is the surface area of the square pyramid represented by the net below
Question
112
48
64
96
Answer:64
Step-by-step explanation:multiply the two numbers
18. f-g4, if f =3 and g = -5=
Answer:
23
Step-by-step explanation:
Step 1:
3 - -5 (4)
Step 2:
3 - (-20)
Step 3:
3 + 20
Answer:
23
Hope This Helps :)
What number is 344% of 107
Answer:
368.08
So I turn the numbers into fractions so 344% would be 344/100 because percentages are out of 100. Since it is 344% OF 107, you'd put 107 on the bottom of the fraction and the answer will go on top. I multiply the IS with the OF (IS is the top number and OF is the bottom) so you'd multiply 107x344 to get 36808. Since 344 is a percent (out of 100) you have to do divide the answer by 100 to get 368.08
I hope that helps!
Find the size of an angle which is four times its complement.
Please helpppp.
Name the property of it then simplify.
7+n=7+3
Answer:
I got u
Solve for n by simplifying both sides of the equation, then isolating the variable.
n=3
Step-by-step explanation:
Answer:
communitative property
n=3
What is the domain and range for y=x3 – 4x² + x + 6
Answer:
Domain: set of Real numbers
Range{ set of Real numbers
Step-by-step explanation:
Since this is a cubic function, its domain and range are both the set of Real numbers.
The domain of any polynomial function is the set of Real numbers, And as far as the Range, we decide based on its end-behavior: since this is a polynomial with leading term [tex]x^3[/tex], then it has the property of getting to infinitely large values for increasing values of x, and infinitely negative values for decreasing values of x.
Factor Completely 4x^3 - 6x^2 + 16x - 24
Answer: 2(x+2i)(x-2i)(2x-3)
Step-by-step explanation:
Answer:
I got this answer.
Is it correct
what kind of number is -18 and explain why it is
Answer:
Step-by-step explanation:
-18 is a integer because it has negative sign
☽------------❀-------------☾
Hi there!
~
-18 is an integer number because of the " - " sign. I hope the picture will explain why -18 is an integer number!
❀Hope this helped you!❀
☽------------❀-------------☾
in Sean’s fish tank, there are 6 times as many goldfish as guppies. There are a total of 21 fish in the tank. How many more goldfish are there than guppies.
Answer: There are 15 more goldfish than guppies.
Step-by-step explanation:
Since there are 6 times as many goldfish as guppies, then. Now 3 + 18 = 21 the total fish in the tank. Hence there are 3 guppies and 18 goldfish. and 18 - 3 = 15, thus there are 15 more goldfish than guppies.
Recall the Survivor: 21 Flags game from the page on backward induction. Assume that you are playingthe same game with the same rules EXCEPT now the team who takes the last flag loses.a) (30 points) What should each team’s strategy be?b) (5 points) What is the best move for the first team to move?c) (5 points) What is the best move for the second team to move?
Answer:
Given that there are 21 flags, NOW using backward induction we can see that;
If there is only one flag left, whosoever picks up that particular flag will lose. Therefore, 1 is loosing number.
Now if there are 2 flags left, whosoever's turn it is, can pick 1 flag and leave one for the opponent and win the game. Therefore, 2 is winning number. Similarly if there are 3 flags left then whosoever's turn it is can pick 2 flags and leave one for the opponent and can win the game. Hence 3 is winning number. Similarly when 4 flags left, 3 can be picked up and leave one for the opponent and win the game. So, 4 is also winning number.
Now, if there are 5 flags left, then no matter whichever number you choose among 1,2 or 3 you gonna leave other team with 4,3 or 2 respectively and all 3 are winning number. Therefore, 5 is loosing number.
Similarly, if you have 6,7,8 then by taking 1,2,3 respectively you can leaveyour opponent with number 5 and that is loosing number and you can win certainly. Therefore, 6,7,8 are also winning number.
Following above discussion, we see a pattern among the number that would make sure you win and with other numbers you loose.
we see after 1 if we go in positive direction on number line till 21 then every fourth number is loosing number because no matter what you choose you will leave your opponent with a winning number of flags and if your opponent knows and follows the optimal strategy can win. Therefore,
Loosing Numbers = 1,5,9,13,17 and 21
Winning Numbers = 2,3,4,6,7,8,10,11,12,14,15,16,18,19 and 20
a) STRATEGY
If you are a team that is stuck with any of loosing number that is 1,5,9,13,17 or 21 then no matter what strategy you follow you gonna loose. Therefore, there is n winning strategy in this situation given other team also knows the winning strategy
But if you have any of winning numbers at any point then you can follow the following strategy and can win
- 2 flags = pick up one flag and leave 1 for the opponent, win
- 3 flags = pick up 2 flags and leave 1 for the opponent, win
- 4 flags = pick up 3 flags and leave 1 for the opponent, win
- 6 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 7 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 8 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 1,2 or 3 based on the number of flags left and win
- 10 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 11 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 12 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 4,5 or 6 based on the number of flags left and win
- 14 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 15 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 16 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 7,8 or 9 based on the number of flags left and win
- 18 flags = pick up one flag, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
- 19 flags = pick up 2 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
- 20 flags = pick up 3 flags, then no matter what your opponent chooses you follow either strategy number 10,11 or 12 based on the number of flags left and win
b)
Since team moving first will have 21 flags left on ground and it is a loosing number, no matter which number it chooses to pick it is gonna loose as it will leave other team with winning number. So, they will be indifferent between choosing 1,2 or 3
c)
If first teams removes 1 flag then best strategy for second team would be to remove 3 flags and again leave first team with loosing number
similarly, If first teams removes 2 flags then best strategy for second team would be to remove 2 flags and again leave first team with loosing number
and If first teams removes 3 flags then best strategy for second team would be to remove only 1 flag and again leave first team with loosing number
Solve
3(4- 2)
2.
Select the correct choice below an
Answer:
6
Step-by-step explanation:
3(4-2) distribute 3
12-6
6
Inequalities (Please help!)
Answer:
x < x and -3x < -3x
Step-by-step explanation:
x cannot be less than itself so there would be no solution.
if a/b = 5/4 and b/c = 3/2, what is c/a
Step-by-step explanation:
[tex] \frac{a}{b} = \frac{5}{4} \: \: \: \: \: \: \frac{b}{c} = \frac{3}{2} [/tex]
[tex] \frac{a}{b} \times \frac{b}{c} = \frac{5}{4} \times \frac{3}{2} [/tex]
[tex] \frac{a}{c} = \frac{15}{8} [/tex]
[tex] \frac{c}{a} = \frac{8}{15} [/tex]
Answer:
[tex]\huge\boxed{\sf \frac{a}{c} = \frac{15}{8} \ \ OR \ \frac{c}{a}= \frac{8}{15} }[/tex]
Step-by-step explanation:
[tex]\sf Given \ that\\\\\frac{a}{b} = \frac{5}{4} \\\\\frac{b}{c} = \frac{3} {2}\\\\Multiplying \ both \ of \ the \ above \ equations\\\\\frac{a}{b} * \frac{b}{c} = \frac{5}{4} * \frac{3}{2} \\\\\frac{a}{c} = \frac{5*3}{4*2} \\\\\bold{\frac{a}{c} = \frac{15}{8} }[/tex]
Hope this helped!
~AnonymousHelper1807Find the value of x for which l is parallel to m. The diagram is not to scale.
Answer:
x= 41
Step-by-step explanation:
3x-43= 80 is the equation since they are alternate interior angles.
Step 1- Add 43 to both sides.
3x-43= 80
+43 +43
Step 2- Divide both sides by 3.
3x= 123
3 3
x= 41
The given angles are the alternate interior angles formed by a common
transversal to two parallel lines.
The value of x for which line l is parallel to line m is c. 41°.
Reasons:
When line l is parallel to line line m, we have;
The alternate interior angles will be equal
Therefore;
(3·x - 43)° = 80°
Which gives;
[tex]x = \dfrac{80^{\circ} + 43^{\circ} }{3} =41^{\circ}[/tex]
The value of x is 41°Learn more here:
https://brainly.com/question/16987641
Create a one-to-one function.
Answer:
f(x)=x
Step-by-step explanation:
that's keeping it simple... ;-)
I NEED HELP ASAP SOMEONE HELP ME PLEASE, I MEDD SOMEONE WHO CAN HELP ME WITH THE REST OF MY QUESTIONS
Answer:
Step-by-step explanation:
K(0 , 4)
Midpoint M (3 , 3)
Let Point L(x₂ , y₂)
[tex]Midpoint= (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}\\\\\\ (\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2}) = (3 , 3)\\\\\\ (\frac{0+x_{2}}{2},\frac{4+y_{2}}{2}) = ( 3 , 3)\\\\\\[/tex]
Compare x and y coordinates
[tex]\frac{x_{2}}{2}=3 ; \frac{4+y_{2}}{2} = 3[/tex]
Cross multiply,
x₂ = 3*2 ; 4 + y₂ = 3*2
x₂ = 6 ; 4+ y₂ = 6
y₂ = 6- 4
y₂ = 2
L(6 , 2)
Answer:
6,2
Step-by-step explanation:
I don't think you want to know how I did it, it's pretty boring for most people except me
3(-5y+2)= 21 how do i solve this problem algebraically?
Answer:
Step-by-step explanation:
1)expand out the bracket
-15y+6=21
2) get the y to one side
6=21+15y
3) solve
15=15y
1=y
Answer:
Y= -1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(−5y+2)=21
(3)(−5y)+(3)(2)=21(Distribute)
−15y+6=21
Step 2: Subtract 6 from both sides.
−15y+6−6=21−6
−15y=15
Step 3: Divide both sides by -15.
−15y −15 = 15 −15
Y= -1
A zoo has 15 Emperor penguins. The Emperor penguins make up 30 percent of all the penguins at the zoo. how many penguins does the zoo have?
Answer:
50 penguins
Step-by-step explanation:
Let the total number of penguins = x
30% of x = 15
[tex]\frac{30}{100}*x=15\\\\\\x=15*\frac{100}{30}\\\\x=50[/tex]
Answer:
50
Step-by-step explanation:
15 x 100 equals 1500
1500 divided by 30 equal 50
Hopefully this helps you :)
pls mark brainlest ;)
Write in standard form.
2.87 x 104
A.28,700
B. 0.000287
C. 2,870
D. 287,000
The general form of the number is 28,700. The correct option is A.
What is a standard form?Any value between 1.0 and 10.0 that can be expressed as a decimal number and multiplied by a power of 10 is referred to as being in standard form.
The given number is 2.87 x 10⁴. The general form of the number can be written as:-
2.87 x 10⁴ = 2.87 x 10000
2.87 x 10⁴ = 28700
Multiply 2.87 by 10000 we will get the general form 28700 for the number.
Therefore, the general form of the number is 28,700. The correct option is A.
To know more about the standard form of the number follow
https://brainly.com/question/17136267
#SPJ5
25 pts
Question 5
25 points
Jack and Jill went to the grocery store. They purchased 2 packages of
hamburger buns for $1.10 per package, one pound of hamburger meat for
$3.79, and 3 bottles of soda for $0.95 per soda. If Jack and Jill split the bill
evenly, then how much money did each person pay?
Answer:
$4.42!
Step-by-step explanation:
Just add all the prices together then divide by 2!
$1.10 * 2 + $3.79 + $0.95 * 3 = $8. 84
$8.84 ÷ 2 = $4.42!
PLEASE HELP PRECALC WHAT IS THE SECOND ROW MULTIPLIED BY?
Answer:
the answer is .5 i think
44. Find the total area of the shaded rectangles.
9
х
х
2

Answer:
(x² + 18) units²
Step-by-step explanation:
Area of a rectangle = l*w
There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.
Below are the dimensions and area if each of them:
Rectangle 1 (small shaded rectangle):
l = x
w = x
Area = x * x = x² units²
Rectangle 2 (bigger shaded rectangle):
l = 9
w = 2
Area = 9*2 = 18 units²
Total area of the shaded rectangles = x² + 18 = (x² + 18) units²
Line q passes through points (9, 9) and (1, 2). Line r is perpendicular to q. What is the slope of line r?
Answer:
y=mx+b
Step-by-step explanation:
2(x+y) = 2x + 2y
what property is this
Answer:
Distributive Property.
Step-by-step explanation:
You distribute the 2 to each of the terms.
1.PS-9
Question Help
You want to buy some noodles. A 6-ounce package costs $2.22. A 15-ounce package costs $5.85. A
26-ounce package costs $9.36. Which package is the best buy?
The
-ounce package of noodles is the best buy.
find the area of a rectangle that has a length of 8 inches and a width of 9 inches
Answer:
72in
Step-by-step explanation:
area=length x width
a=8x9
Find the average rate of change in the price of gasoline from 2006 to 2008
Year
Cost
2005
$2.31
2006
$2.62
2007
$2.84
2008
$3.30
2009
$2.41
2010
$2.84
2011
$3.58
2012
$3.68
А.
$0.34/year
В.
$0.28/year
C.
$0.32/year
D. $0.35/year
Answer:
A
Step-by-step explanation: