Which functions are symmetric about the y-axis? Check all of the boxes that apply.
Answers
The functions that are symmetric about the y-axis are;
1) The function in the first option; f(θ) = cos(θ)
2) The function in the third option; f(x) = x²
Reason for the above selection;
Definition;
A function is symmetric about the y-axis is also known to be an even function such that the same value of the function is arrived at when x is replaced with -x
Analysis of the graphs;
First Function Graph; The graph represents the graph of cos (θ)
∴ The function is f(θ) = cos(θ)
The value of the function when x = π, f(π) = -1
Similarly, the value of the when x = -π, f(-π) = -1
f(π) = f(-π)
∴ f(x) = f(-x)
Therefore; the first function is an even function
Second Function Graph; The function of the graph is x = y²
∴ y = √(x)
The value of the function when x = 4, y = f(4) = 2
However, the when x = -4, f(-4) does not exist
f(4) ≠ f(-4)
∴ f(x) ≠ f(-x)
Therefore; the second function is not an even function (the function, x = y², is however symmetric about the x-axis)
Third Function Graph; The function the graph represents is y = x²
The value of the function when x = 2, f(2) = 4
Similarly, the value of the when x = -2, f(-2) = 4
f(2) = f(-2)
∴ f(x) = f(-x)
Therefore; the third function is an even function
From the above, the functions which are symmetric about the y-axis, (even functions) are;
The first and the third functions
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Answer:
first and third ones
Step-by-step explanation:
you`re welcome
Related Questions
The sum of the numbers X, Y, and Z is 40. The ratio of X to Y is 1:2 and the ratio of Y to X is 2:5. What is the value of Y?
Answers
Step-by-step explanation:
Since X : Y = 1 : 2, X = 0.5Y.
Since Y : Z = 2 : 5, Z = 2.5Y.
We have X + Y + Z = 4Y = 40. Hence Y = 10.
[tex]y=10[/tex]
Ratio:A ratio in mathematics shows how many times one number is contained in another. For instance, if a dish of the fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio of 4:3). The ratio of oranges to the overall amount of fruit is 8:14, and the ratio of lemons to oranges is 6:8 (or 3:4) (or 4:7).A ratio can have any number of quantities, such as counts of people or things or measurements of length, weight, time, etc. Both numbers must be positive in most situations.Solution -
Given -
[tex]x+y+z=40\\x:y=1:2\\y:x=2:5[/tex]
To find - [tex]y[/tex]
Since,
[tex]x:y=1:2,x=0.5y\\y:x=2:5,z=2.5y\\x+y+z=4y+40\\y=10[/tex]
Therefore, [tex]y=10[/tex].
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Which fraction converts to a terminating decimal number?
OA.1/6
OB.2/9
OC.3/8
OD.4/7
Answers
Please help
Factor 5x^2-11x+6. Rewrite the trinomial with the X-term expanded using 2 factors
The answer starts as 5x^2_______+6
Answers
Answer:
[tex]5x^2-5x-6x+6[/tex]
Step-by-step explanation:
[tex]5x^2-11x+6\\5x^2-5x-6x+6[/tex]
we need to factorize it so the X-term expanded should satisfy two conditions
1) +5 times +6 should be +30
2) add or subtract any two numbers which multiply and give -11
so here -5 times -6 gives +30 and -5 added to -6 equals -11
Sydney purchased a used car for $3,500. Her state charges a 5% tax for the car, $85 for registration, $60 for a new title certificate, and $35 for a state safety and emissions inspection. How much does Sydney need to pay for these extra charges, not including the price of the car?
Answers
Answer:
$355
Step-by-step explanation:
85+60+35=180
5% of 3,500 is 175
175+180=355
so if i did the math right that means the answer is $355
Hopefully the right answer
A book is on sale for 30% off. The sale price of the book is $14. What is the original price of the book
Answers
Since $14 is the price after a 30% discount then $14 is 70% of the original price.
$14/70=x/100 (100% would be the original price)
1400=70x or 1400/70 = $20!
You can double check the work by taking 30% off the $20 (10% would be $2, 30% would then be $6) 20-6=14!
473 heartbeats in 5 1/2 minutes
Answers
Answer:
86 heartbeats per minute
Step-by-step explanation:
i assume that's your question?
the number of heartbeats per minute is 86.
What is the unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given that, 473 heartbeats in [tex]5\frac{1}{2}[/tex] = 11/2minutes
Number of heart beats per minute = Total number of heart beats ÷ Number of minutes
= 473÷ 11/2
= 473×2/11
= 43×2
= 86 beats per minute
Therefore, the number of heartbeats per minute is 86.
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What is f(3) in the graph below?*
Answers
Answer:
(3, 2)
Step-by-step explanation:
Apply distributive property to 24a-18b
Answers
Answer:
The answer to this question 6(4a-3b)
Answer:
6(4a-3b)
Step-by-step explanation:
I'm begging you please help me!!! Thank you! ♡
Answers
2. AABC is an isosceles triangle. Find the length of AB.
5x+7
B
5x - 6
3x + 4
С
Answers
One fifth of a number is equal to triple that number less 28.
Let the unknown number be x. Write this word problem as an equation using the variable x.
Answers
Answer:
x=10
Step-by-step explanation:
x=(3x-28)5
-14x=-140
x=10
two angles from a linear pair. the measure of one angle is 2/3
Answers
Answer:
First angle = 117 degrees.
Second angle = 63 degrees.
Step-by-step explanation:
I NEED HELP PLSSSSSSSSS……………
Answers
Answer:
4n+2 (B)
Step-by-step explanation:
Answer:
the answer is b
Step-by-step explanation:
because the value of terms are going up by 4 every time, so if you subtract 4 you get 2 and the position would be 0 making 2 the y-intercept and then slope is= rise/run and the equation is rising 4 units for every 1 unit moved, so the slope is 4/1 or 4. plug all of that into the equation and you get 4n + 2
will give brainliest if it is the correct answer and explained and a lot of points
Answers
Answer:
18
Step-by-step explanation:
Area = base x height
So you would start by multiplying you 2 side lengths given:
Area = 2 sqrt 3 x sqrt 27
2 sqrt 3 x sqrt 27 = 18
Once multiplied, you will get you area. Which is 18 units squared.
Two vertical angles have measures of (4x + 8) and (7x -22). What is the measure of the two angles?
Answers
Answer:
48
Step-by-step explanation:
Vertical angles are congruent
7x - 22 = 4x + 8 {Add 22 to both sides}
7x = 4x + 8 + 22
7x = 4x + 30 { subtract 4x from both sides}
7x - 4x = 30
3x = 30
x = 30/3
x = 10
4x + 8 = 4*10 + 8
= 40 + 8
= 48
7x - 22 = 7*10 - 22
= 70 - 22
= 48
Jeff and kevin went to the fair with $20 each. They paid $6 for two rides, $2 for cotton candy and bought two drinks at $3 each. How many money do they have left over?
Answers
Answer:
Jeff and Kevin have $20 left
Step-by-step explanation:
do (20+20)-(6+6)-2-(3+3)=20
Please help 15 points!!!
Answers
Answer:
she earns $10 per hour, and can earn $1 in 6 minutes (60 min divided by $10)
Step-by-step explanation:
Which triangle is congruent to triangle ABC?
Answers
hope that helps :)
What is the quotient 5/8 + 1/5?
Answers
Answer:
33/40
Step-by-step explanation:
cross multiply
5 x 5 = 25
8 x 1 = 8
25 + 8 = 33 (our numerator)
8 x 5 = 40 (our least common denominator)
What is 1/4 divided by 9/10 rewritten with an important fraction?
Answers
Step-by-step explanation:
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\div \dfrac {9}{10}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {1}{4}\times \dfrac {10}{9}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {10}{36}[/tex]
[tex]{:}\hookrightarrow\sf \dfrac {5}{18}[/tex]
{(-15, 3), (-5, 1), (0, 0), (10, -2)}
Constant:
Equation:
Direct & inverse variation (identify the constant of variation,then write the direct variation equation to represent the relationship) please helppp!!
Answers
Answer:
[tex]k = -\frac{1}{5}[/tex] -- Constant
[tex]y = -\frac{x}{5}[/tex] -- Equation
Step-by-step explanation:
Given
[tex]\{(-15, 3), (-5, 1), (0, 0), (10, -2)\}[/tex]
Solving (a): The constant of variation
The given parameter is of the form (x,y) and the variation constant is calculated using:
[tex]k = \frac{y}{x}[/tex]
For:(-15,3), k is calculated as
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{3}{-15}[/tex]
[tex]k = -\frac{1}{5}[/tex]
For (-5,1)
[tex]k = \frac{y}{x}[/tex]
[tex]k = \frac{1}{-5}[/tex]
[tex]k = -\frac{1}{5}[/tex]
The equation is calculated using the following rule:
[tex]y = kx[/tex]
Substitute [tex]-\frac{1}{5}[/tex] for k
[tex]y = -\frac{1}{5} * x[/tex]
[tex]y = -\frac{x}{5}[/tex]
Jeff and his cousin work during the summer for a roofing company. Jeff's cousin has been working
for the company longer, so his pay is 40% more than Jeff's. Last week his cousin worked 30 hours,
and Jeff worked 25 hours. Together, they earned $562.80. What is Jeff's hourly pay? Explain or
show your reasoning
Answers
Answer:
1
Step-by-step explanation:
doesn't work hard enough
Answer: $7.31
Step-by-step explanation:
30j+40% + 25j= 562.8
30j+25j= 55j
55j + 40% = 562.8
40% of 55 is 22
77j = 562.8
562.8 77 = 7.309090909.....
Simplify 7.309090909
$7.31 Per hour.
Andy found these used car prices in the newspaper
Answers
Answer:
Good for him also there is no question
Step-by-step explanation:
Answer: whats the car prices that was in the news paper
Step-by-step explanation:
jody paid $4.50 for 30 stickers. What is the cost per sticker?
Answers
1) Suzanne will pay $14 to get her hair cut. She wants to leave the hairdresser a 15% tip. What is the total cost of the haircut, including tip?
Answers
Answer:
$16.10
Step-by-step explanation
14.00x .15=2.10
14.00+2.10=16.10
can someone explain how to solve this?
Answers
hello!! how do you find y intercept
Answers
Answer:
you find the point where the line intersects
Instructions: Find the missing side lengths. Leave your answers as radicals in simplest form.
Answers
Given:
A figure.
To find:
The values of x and y.
Solution:
We know that, in a right angled triangle,
[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]\sin 60^\circ =\dfrac{x}{16}[/tex]
[tex]\dfrac{\sqrt{3}}{2} =\dfrac{x}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{\sqrt{3}}{2}\times 16=\dfrac{x}{16}\times 16[/tex]
[tex]8\sqrt{3}=x[/tex]
And,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
[tex]\cos 60^\circ =\dfrac{y}{16}[/tex]
[tex]\dfrac{1}{2}=\dfrac{y}{16}[/tex]
Multiply both sides by 16.
[tex]\dfrac{16}{2}=y[/tex]
[tex]8=y[/tex]
Therefore, the missing side lengths are [tex]x=8\sqrt{3}[/tex] and [tex]y=8[/tex].
Just help me pls and thank u
Answers
Keep: 7
Change: division to multiplication
Flip: 9/5 to 5/9
PLEASE HELP MEEEEEE i'll be your best friendddd ;-;
The resale value of a textbook decreases by 25% with each previous owner. A new textbook is sold for $85. Which function represents the resale value of the textbook after x owners?
A: f(x) = 85(1 – 0.25)x
B: f(x) = 85(1 + 0.25)x
C: f(x) = 85(0.25)x
D: f(x) = (85 – 0.25)x
Answers
Answer:
A) f(x)=85(1-0.25)x
is the correct option
Answer:
Answer is A. f(x) = 85(1 – 0.25)x
Explanation:
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