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
At 2:00 P.M., the water temperature in
the pool was 88 °F. By 10:00 P.M. the
water temperature in the pool was
75 °F. By how many degrees did the
water temperature drop?
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Answer:
it dropped 13 degrees
Step-by-step explanation:
I don't understand this. Plz help!!!
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Answer:
if you can, start from the y intercept (4) and then go 3 up,2 right
Step-by-step explanation:
Don’t understand this and need help
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Answer:
5ft
Step-by-step explanation:
This simple proportions. 6/10=3/x. Solve for x. Cross Multiply. 6x=30. 30/6=5. x=5. Answer 5.
Answer:
x = 5
Step-by-step explanation:
6/10 = 3/x
cross multiply to get 30 ( 3x10 )
then divide by 6
to get the end answer of 5
hipe this makes sense
Write an equation of a line that is parallel to the line y = 3x + 10
A) 2y = 6x + 8
B) y = 1/3x + 8
C) y = 6x +7
D) 2y = 2x + 10
Answers
Reason- in order to have two lines be parallel they must have the same slope, in this case the slope has to be 3x. If you look at A it is 2y=6x+8 and to graph it, y has to be by itself. so you divide both sides by two making it y=3x+4, and as you can see it now has a slope of 3x.
During a chemical reaction the temperature in a beaker decreased every minute by the same number of degrees the temperature was 16°C at 11:08 AM by 11:52 AM the temperature had dropped to -17°C by how many degrees did it change each minute
Answers
Answer:
.75 degrees Celsius
Step-by-step explanation:
1152-1108=44 16+17=33 33divided by 44=0.75
Tomika uses 6 inches of wire to make a necklace and 3 inches of wire to make a bracelet.
How many necklace and bracelet sets can she make if she uses 28
Enter your answer in the box.
inches of wire in all?
sets
whats the answer
Answers
Answer:
3
Step-by-step explanation:
3x(6+3)=27, shed have 1 inch left over
To make a shade of paint called jasper green, mix 4 quarts of green paint with 53 cups of black paint. Select an equation that calculates how quarts of green paint, , are mixed with a given amount of black paint, .
Answers
Answer:
g = 12b /5
Step-by-step explanation:
Given that:
Quarts of green paint = 4
Cup of black paint = 5/3
Quartz of green paint to be mixed with a given proportion of black paint.
Let proportion of black paint = b
Quartz of green paint = g
4 quartz = 5/3 cups
g quartz = b
Cross multiply :
4 * b = (5/3) * g
5/3 * g = 4b
g = 4b ÷ 5/3
g = 4b * 3/5
g = 12b /5
Step 1: Choose the lowest common denominator
Answers
Please help need answer now!!
Answers
Answer:
y is given to you
Step-by-step explanation:
Keep doing good
I need help with this plzzzz
Answers
U rise to 2 to get the origin then right 3 to the x intercept
Therefore the answer is 2/3
in the figure below, XY bisects WZ, m angle YXV is 12 degrees more than 5 times m angle VXZ. Using this information, determine which of the following algebraic equations can be used to model using the angle addition postulate. (select all that apply)
WILL MARK BRAINLIEST!!!
5x +12 =90
5x +12+ 90=180
90 + 5x +12 + x = 180
x + 90 = 5x +12
5x + 12 + x = 90
Answers
Answer:
5x +12 =90
5x +12+ 90=180
90 + 5x +12 + x = 180
x + 90 = 5x +12
5x + 12 + x = 90
Step-by-step explanation:
Ryan made 70% of the basketball shots he attempted if he made 63 baskets how many shots did he attempt
Answers
Answer:
Ryan attempted 90 shots
Step-by-step explanation:
63 is 70% of 90
90 x .7 = 63
Ryan attempted 90 shots and 63 of them are baskets which is 70 percent.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, Ryan made 70% of the basketball shots he attempted.
let, 'x' be the number of shots he attempted and 63 of them are baskets.
So, 70% of x is 63, which is,
(70/100)×x = 63.
0.7x = 63.
x = 63/0.7.
x = 90.
So, Ryan attempted 90 shots in total.
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The nth term of a sequence is 60-8n. Find the largest number in this sequence
Answers
Answer:
n=7.5
Step-by-step explanation:
BRAINLIEST GIVEN TO BEST ANSWER
MODELING REAL LIFE The graph shows the numbers of prescriptions filled over time by a pharmacy.
a. Find the slope of the line.
The slope is ____
Answers
Answer:
Slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Slope of a straight line passing two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by the formula,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph attached,
Line is passing through two points (20, 5) and (80, 20),
Therefore, slope of the line will be,
m = [tex]\frac{20-5}{80-20}[/tex]
m = [tex]\frac{1}{4}[/tex]
The slope is [tex]\frac{1}{4}[/tex].
25.2 dived 6 what the answer
Answers
Answer:
4.2 you should use a calculator for these
Step-by-step explanation:
write an equation in slope-intercept of the line shown. (3,1), (1,-3)
Answers
Answer:
y=2x-5
Step-by-step explanation:
Answer and explanation is in the picture.
The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
The equation of the line that passes through the point (3, 1) and (1, -3) is
y = 2x - 5.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of a line is y = mx + c
(3, 1) = (a, b)
(1, -3) = (c, d)
Slope:
= (d - b) / (c - a)
= (-3 - 1) / (1 - 3)
= -4 / -2
= 2
m = 2
Now,
We can choose any point and set it as (x, y) and substitute it in the equation.
(3, 1) = (x, y)
y = mx + c
1 = 2 x 3 + c
1 = 6 + c
c = 1 - 6
c = -5
Now,
m = 2
c = -5
The equation of the line that passes through the point (3, 1) and (1, -3) is
y = 2x - 5.
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A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area of 22m2. He knows that the base must be 1 less than 3 times the height. If the base is represented by 3x-1 and height equals x. Find the equation that correctly shows the area of the triangle.
Group of answer choices
1/2x(3x - 1) = 11
x(3x -1) = 11
x(3x - 1) = 22
1/2x(3x - 1) = 22
Answers
Answer:
Base=3x-1
height =x
As we know that in a triangle
[tex]{\boxed{\sf Area={\dfrac {1}{2}}\times Base \times Height }}[/tex]
Substitute the value[tex]\qquad\quad {:}\longrightarrow\sf 22={\dfrac {1}{2}}(3x-1)(x)[/tex]
[tex]\qquad\quad {:}\longrightarrow\sf x (3x-1)=44 [/tex]
[tex]\qquad\quad {:}\longrightarrow\sf 3x^2-x=44 [/tex]
Correct option is option DThe equation that correctly shows the area of the triangle is 1/2x(3x - 1) = 22. Correct option is d.
To find the equation that correctly shows the area of the triangle, we use the formula for the area of a triangle:
Area = (1/2) * base * height
Given that the base is represented by 3x - 1 and the height is x, the area of the triangle is:
Area = (1/2) * (3x - 1) * x
Now, we are given that the area of the triangle is 22m^2:
(1/2) * (3x - 1) * x = 22
To solve for x, we can multiply both sides by 2 to eliminate the fraction:
2 * (1/2) * (3x - 1) * x = 2 * 22
x * (3x - 1) = 44
Now, we have the equation that correctly shows the area of the triangle:
x(3x - 1) = 44
So, the correct answer is:
x(3x - 1) = 44
To know more about triangle"
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I need help the question is on the picture
Answers
Answer:
Blank 1: 12.5 mph
Blank 2: .36 hours
Step-by-step explanation:
1. 3.75/.3 = 12.5
2. 4.5/12.5 = .36
At an online bookstore, Alicia downloads 3 books for $9 each and 2 magazines for $4 each. She uses a $50 gift card to pay for the books. Write an expression that shows how she can figure out how much money is left on the card after making the purchases.
Answers
Answer:
$15
Step-by-step explanation:
So first we see that alicia buys 3 books for $9 and that would be 27 because 3x9=27. Now we also see that she bought 2 magazines for $4 and that would be 8 because we are multiplying 4x2. Now we add 27 and 8 which would give us 35. She uses a $50 card to make the purchase. We subtract, 50-35 and we would get 15. So alicia has $15 left on the card.
ahhh helppp!
cross out one ordered pair that will make the relation a function if it is removed.
Answers
Answer:D
Step-by-step explanation:
Function means that the pairs inside the [ ] should not have the same x value. since there are 2 pairs with 2 as the x value, you need to eliminate one of them
please help me:(
tysm
Answers
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The question says liner function of time. So it’s not just one point it’s a line. all the others if graphed would be a single point while C would make a line because it says every year it increases by 10000.
A line through (3,8) with a slope of 2 has a y -intercept at ___BLANK_____
Answers
Answer:
the y intercept is at (0,2)
What is -36 4/9 -(10 2/9) -(18 2/9) equal
Answers
Answer:
-64.8
Step-by-step explanation:
Answer:
-64.8
Step-by-step explanation:
can somebody help me?
Answers
Answer:
I think it is 4/7 is red
Step-by-step explanation:
Whats is the x-coordinate of x-intercept of the line with the equation 5y+2/3x=10?
Answers
Answer:
Your answer to your question is 15
Step-by-step explanation:
What is the image of the point (0,1) after a rotation of 270^ ∘ counterclockwise about the origin?
Answers
Answer:
it should be 1,1. nnhbnhh vfc thg there eventual
The image of the point (0,1) after a rotation of 270^ ∘ counterclockwise about the origin is (-1, 0).
How does rotation by 90 degrees changes the coordinates of a point if rotation is concerning origin?Let the point be having coordinates (x,y).
Case 1: If the point is in the first quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 2: If the point is in the second quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
Subcase: Counterclockwise rotation:
Then (x,y) → (-y, x)
Case 3: If the point is in the third quadrant:
Subcase: Clockwise rotation:
Then (x,y) → (y, -x)
For points on axes, it can take that point in any of the two surrounding quadrants. Since if the point is on the positive x-axis, then it can take as of the first quadrant or fourth quadrant.
There is no effect as we assumed rotation is concerning origin.
(0,1) ---- (-1, 0)
Hence, the image of the point (0,1) after a rotation of 270^ ∘ counterclockwise about the origin is (-1, 0).
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Angle A= 30 and angle B=40 find angle C
Answers
Answer:
110
Step-by-step explanation:
pls help me with this
btw the question
asks what v(-2) means in this situation
Answers
Answer:
20
Step-by-step explanation:
Describe the pattern below.
Answers
Answer:
Adding another row of dots that are 1 bigger than the last row
1+2=3
1+2+3=6
1+2+3+4=10
Try working it out from this!
Rectangle PQRS is dilated by a scale factor of 2 (k=2) with the origin as the center. What are the coordinates of R('?
A) R'(8,2)
B) R'(1, 1/4)
C) R'(6,3)
D) R'(2,8)
Answers
Answer:
Correct Answer: (8,2)
Step-by-step explanation:
Dilation about the origin
Most dilations in the coordinate plane use the origin, (0,0), as the center of the dilation.
In such cases, every point (x,y) dilated by a factor of k is mapped to the point (kx,ky).
The point R=(4,1) is dilated by a scale factor of 2 (k=2), thus the coordinates of its image are (2*4,2*1) = (8,2)
