The answer choice which describes the function is; Choice B; neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
What is rotational symmetry?Rotational symmetry, otherwise termed radial symmetry, is the characteristic of a shape when it looks the same after some rotation by a partial turn. On this note, since the function represents a quartic graph, it follows that the function has neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
Therefore, the function f(x) = −4x⁴ + 3x³ − 2x² − x + 5 is neither symmetry about the y-axis nor has order 2 rotational symmetry about the origin.
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In this figure, sin < ___ and cos
42 , 16 values of sin and cos
What is sin formula?Let's review some information regarding the sin function before learning the sin formula. The sine function, often known as the sin function, is a periodic function in trigonometry. The ratio of the hypotenuse's length to the perpendicular's length in a right-angled triangle is another way to describe the sine function. Sin is a periodic function that has a period of 2 and a domain and range of (, ), respectively. To determine the sides of a triangle, use the sin formula.
The Sin Formula: What Is It? The ratio of the perpendicular of a right-angled triangle to the hypotenuse is known as the sine of the angle. The following is the sin formula: sin = Perpendicular / Hypotenuse
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Which transformation will result in an image that is congruent to its pre-image? (x, y) → (2x, −2y) (x, y) → (x, y − 2) (x, y) → (−x, 2y) (x, y) → (−2x, y − 2)
(x,y) --> (x, y-2)
=======================================================
Explanation:
Choice A can be ruled out because of the jump from x to 2x, and from y to 2y. This is a dilation with a scale factor 2. Meaning the preimage enlarges to a bigger image. Specifically the larger image has side lengths twice as long as the smaller preimage. The larger image of course cannot possibly be congruent to the smaller preimage. Congruent figures must have the same corresponding side lengths.
We'll come back to choice B.
Choice C and choice D are ruled out for similar reasoning as choice A was eliminated.
-------------
To summarize the previous section: We ruled out choices A, C, and D. The only thing left is choice B.
Choice B is a translation. The jump from y to y-2 means we shift the point 2 units down. There is no left or right shifting because x stays the same.
For example, the point (5,12) moves to (5,10).
Notice that dilation is not being applied for choice B.
With any geometric translation, aka shifting, the side lengths will remain intact. Something that is 5 units long will stay 5 units long. No amount of shifting will change the distance.
Therefore, a translation preserves distances and lengths. We consider it a rigid transformation. This is why choice B will have the preimage congruent to the image.
Answer:B) (x, y) → (x, y − 2)
Step-by-step explanation:
You can make 5 gal of liquid fertilizer by mixing 12 tsp of powdered fertilizer with water. Represent the relation between the teaspoons of powder used and the gallons of fertilizer made using a table, an equation, and a graph. Is the amount of fertilizer made a function of the amount of powder used?
So on solving the provided question, we can say that by equation , y = 5/8x; it makes a vertical line.
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
Let y be the number of gallons of fertilizer produced by combining x tsp of fertilizer powder.
5 litres of liquid fertilizer are created by combining 8 tsp of fertilizer powder.
Therefore, the amount of liters of liquid fertilizer produced by combining 1 tsp of fertilizer powder = 5/8
gallons of LF by mixing x tsp of powder fertiliser = 5/8x
the required equation is => y = 5/8x
so by graph it makes a vertical line.
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In the lab, Chau has two solutions that contain alcohol and is mixing them with each other. Solution A is 40% alcohol and Solution B is 12% alcohol. He uses 900 milliliters of Solution A. How many milliliters of Solution B does he use, if the resulting mixture is a 24% alcohol solution?
600 mL of solution B and 3(600) = 1800 mL of solution A are used by Chau.
How many letters make up one milliliter?It is equivalent to one thousandth of a liter (1 liter = 1000 milliliters) and is used to measure lesser amounts of liquid. The letters ml or mL are used to represent milliliters. Take note of the following graph, which displays 1000 ml of water. Capacity measurements are made using milliliters. It represents a thousandth of a liter. Alternatively said, a one-liter container might hold 1,000 milliliters. In the metric system, a milliliter abbreviated as ml or mL is a unit of volume. One cubic centimeter, or one milliliter, is equivalent to one thousandth of a liter.Let x = the amount of Solution B used
3x = the amount of Solution A used
Knowing that 13% = 0.13 and 18% = 0.18, we can create the equation shown below:
3x(0.13) + x(0.18) = 342 (Remember that the concentration of pure alcohol is 100%, or 1.00).
0.39x + 0.18x = 342
0.57x = 342
x = 600 mL
600 mL of solution B and 3(600) = 1800 mL of solution A are used by Elsa.
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How many grams of fluorine are required to produce 20.0 grams of FeF3?
Fe + F2 → FeF3
10.1 g of fluorine is required to produce 20.0 grams of FeF3
first, we have to balance the equation:
2Fe+3F₂⇒2FeF₃
The molar mass of FeF₃ is 112.84g/mol. so the num of mol(n) of FeF₃ present in 20.0g of mass is calculated as shown below:
n=20.0g/112.84g/mol
n=0.1772mol
According to the balanced equation on the macroscopic scale, 2 mol of FeF₃ is produced from 3 mol of F₂.
so, 0.1772 mol of FeF₃ is produced from X mol of F₂. where X is calculated as shown below:
X=3 mol/2mol*0.1772 mol
X=0.2658 mol
Hence, 0.2658 mol of F₂ is required. The molar mass of F₂ is 38.0g/mol
so, the mass of 0.2658 mol of F2 is calculated as:
m=0.2658 mol*38.0g/mol
m=10.1g
Hence, 10.1 g of fluorine is required.
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A company makes bags of rice.
. One machine fills each bag with approximately 48 ounces of
rice.
. After the bags are filled; another machine weighs each bag.
. A bag is discarded if the weight differs by more than 0.35
ounces from the target weight.
Which inequality can be used to find the range of acceptable
weights, x, of the rice?
The weight of the rice bags should be less than the weight of 48.35 ounces. Inequality can be written as x < 48.35 ounces.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
That One machine fills each bag with approximately 48 ounces of rice. After the bags are filled; another machine weighs each bag. A bag is discarded if the weight differs by more than 0.35.
The inequality for the bags can be written as
x < 48.35 Ounces
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Which of these is a reflex angle:an angle of one hundred degrees or an angle of two hundred degrees
Answer:
the two hundred degrees angle is the reflex angle.
Step-by-step explanation:
reflex angle is and angle that is more than 180 degrees and less than 360 degrees.
the 200 degree angle is above 180 and lower than 360 degrees. The 100 is lower than 180 so I can't be it
Which data set matches the line plot
Answer: The fourth data set (bottom right corner).
Step-by-step explanation: In the graph shown the dots represent a value in the data set. In the graph, there are 4 data sets above 2 meaning that there should be 4 values of 2 in the data set. A quick scan will show that the only logical answer is the fourth set since this is the only set with 4 2s. You can repeat this process for the rest of the dots to check your work.
What is the answer to 47-2.7?
Answer:
44.3
Step-by-step explanation:
47 - 2.7 = 44.3
Taking away 2.7 from 47 gives us 44.3.
Hope this helped!
Rewrite (2x + 8) + 4 using the associative property. Then simplify.
Answer:
2x+12
Step-by-step explanation:
We can re-write (2x+8)+4 using the associative property of addition. The associative property states that you can move around the parenthesis in an addition problem.
We can write (2x+8)+4 as 2x+(8+4).
2x+(8+4) = 2x+12.
Stuck on these questions in my unit quadratic functions and equations.
questions are down below, many thanks!
Answer:
25
Step-by-step explanation:
25 because i used a calculator
Hi everyone please help me solve the wrong questions and how to graph it and explain how you solved it please, thank you!
Determine any data values that are missing from the table, assuming that the data represent a linear function. x y -1 2 0 3 4 2 a. Missing x:1 Missing y:2 c. Missing x:1 Missing y:6 b. Missing x:1 Missing y:5 d. Missing x:2 Missing y:5
The linear function's missing data values are x = 0 and y = 1, which is the right response (B).
What are linear function's ?A straight line on the coordinate plane is represented by a linear function.
The formula for a linear function is f(x) = mx + b, where m and b are real values.
Isn't it resembling the slope-intercept form of a line, represented by the equation y = mx + b.
When given as a graph, information about a function is assumed to be linear if the graph is a line.
If the function's details are provided in algebraic form, then f(x) = mx + b indicates that the function is linear.
According to our question-
Using two specified pairs of points from the table, (-9, 3) and (-6, 2), one may calculate the slope as follows:
Let
x₁ = -6, y₁ = 2
x₂ = 95, y₂ = 3
Slope (m) equals (3 – 2)/(-9 – (-6))
Slope (m) equals 1/-3, or 1/3.
By substituting (x, y) = (-9, 3) and m = -1/3 into y = mx + c, it is possible to find c:
⇒ 3 = -1/3(-9) + c
⇒ 3 = 3 + c
⇒ 3 - 3 = c
⇒ c = 0
Change y = mx + c to m = -1/3 and c = 0.
⇒ y = -1/3x
Now, calculate the values of the missing data using the equation:
Please use y = 0.
Hence, x would be:
⇒ 0 = -1/3x
⇒ x = 0
Replace x with -3,
Y then would be:
⇒ y = -1/3(-3) (-3)
⇒ y = 1
Hence, The linear function's missing data values are x = 0 and y = 1, which is the right response (B).
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What is 8 times y to the power of 3 times 3/4
Answer:
[tex] \sqrt{1693} [/tex]
A grocer has three baskets of peaches. One holds 45 peaches and weighs 17 pounds, a second holds 55 peaches and weighs 21 pounds, and the third holds 60 peaches and weighs 25 pounds. What is the
mean wight of a peach? (keep your answer in two decimals if there is any decimals).
Answer:
Step-by-step explanation:
45 peaches + 55 peaches + 60 peaches = 160 peaches total
17 pounds + 21 pounds + 25 pounds = 63 pounds total
63 pounds / 160 peaches = about 0.39 pounds per peach
Please Help!!! Find the equation using slope-intercept form
Y-intercept = 4
Point: (2,3)
The equation of the line in slope intercept form is y = - 1 / 2 x + 4.
How to represent equation in slope intercept form?The equation of a line can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line passes through the points (2, 3) and the y-intercept is 4.
Hence,
y = mx + 4
let's find slope using (2, 3)
3 = 2m + 4
3 - 4 = 2m
2m = -1
divide both sides by 2
m = - 1 / 2
Therefore, the equation of the line is y = - 1 / 2 x + 4.
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Johns snowmobile weighs 0.3 tons. Mikes snowmobile weighs 500 pounds. What is the difference in the weights of the two vehicles in pounds?”
Since the Johns snowmobile weighs 600 pounds, the weight difference between the two vehicles is 100 pounds.
what is proportionality ?The term "proportionate" refers to relationships that always have the same ratio. For instance, the average number of apples per tree influences how many trees there are in an orchard and how many fruits there are in a harvest of apples. A linear relationship between two numbers or variables is referred to in mathematics as being proportionate. In the same way as the first quantity doubles, so does the other. The other decreases as well when one of the variables is reduced to 1/100th of its previous value.
When two quantities are proportional, it means that when one rises, the other rises as well and that the ratio between the two quantities is constant at all values. As an example, consider a circle's diameter and circumference.
given
2000 pounds make up a ton.
Snowmobile owned by John weighs 600 pounds or 0.3 tons.
The difference between Mike's snowmobile's 500 and 600 pound weights is 100 pounds.
= 600 - 500 = 100 pounds
Since the Johns snowmobile weighs 600 pounds, the weight difference between the two vehicles is 100 pounds.
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Intro to circles: circumference
PLEASE HELP
Therefore , the solution of the given problem of circumference of the given figure is 15.7 ft.
what is mean by circumference?The circumference of a circle or other curved geometric object refers to length. It is the boundary across any two-dimensional circular surface measured linearly in one dimension.
Here,
in the given question
first find the length of the diameter
in the figure
Perpendicular = 3ft
Base = 4ft
using Pythagoras rule
(hypotenuse)
(base)2 + (perpendicular)2
(hypotenuse)2=42+32
(hypotenuse)2=16+9
(hypotenuse)2=25
hypotenuse = √25
hypotenuse = 5
in the given figure hypotenuse diameter of the circle
radius(r) =
diameter
== 2.5
circumference of the circle is given by
circumference = 2πr
circumference = 2*3.14 * 2.5
circumference = 15.7ft
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Anna says “ if a number is divisible by 4, then is it also divisible by 2 Do you agree Explain.
Simplify the expression: -2+2g-(3g+4)
Answer:
- g - 6----------------------------
Given expression:
-2 + 2g - (3g + 4)Simplify it in steps:
-2 + 2g - (3g + 4) = - 2 + 2g - 3g - 4 = (2 - 3)g - 6 = - g - 6Answer:
[tex] \sf \: - g - 6[/tex]
Step-by-step explanation:
The expression is,
→ -2 + 2g - (3g + 4)
Let's simplify the expression,
→ -2 + 2g - (3g + 4)
→ -2 + 2g - 3g - 4
→ (-3g + 2g) + (-2 - 4)
→ (-g) + (-6)
→ -g - 6
Hence, the answer is -g - 6.
Fill out the blank. Use the corresponding theorems
On solving the provided question we can say that from the provided quadrilateral ABCD, ∠ BAD and ∠BCD are supplementary, ∠ABC and ∠ADC are supplementary.
what is quadrilateral?A quadrilateral is a four-sided polygon in geometry that has four edges and four corners. The word is a derivative of the Latin words quadri and latus (meaning "side"). Having four sides, four vertices, and four corners, a rectangle is a two-dimensional form. Concave and convex come in primarily two varieties. Additionally, there are several subclasses of convex quadrilaterals, including trapezoids, parallelograms, rectangles, rhombuses, and squares. Four straight sides make up a rectangle, which is a two-dimensional form. There are several different types of quadrilaterals, including parallelograms, trapezoids, rectangles, kites, squares, and rhombuses.
from the provided quadrilateral ABCD,
∠ BAD and ∠BCD are supplementary,
∠ABC and ∠ADC are supplementary.
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12in to 36in. find the percent of change
Answer:
36 -12 = 24
Step-by-step explanation:
24 / 12 × 100
= 2 × 100
= 200 %
What the slope of the line
Answer:
slope = - [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
calculate the slope m using the slope- formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, 4) and (x₂, y₂ ) = (4, - 4) ← 2 points on the line
m = [tex]\frac{-4-4}{4-(-1)}[/tex] = [tex]\frac{-8}{4+1}[/tex] = [tex]\frac{-8}{5}[/tex] = - [tex]\frac{8}{5}[/tex]
HELP! I NEED HELP ASAP PLEASE!
Answer: False, False, True, False, True
Step-by-step explanation: JUST DO IT! MAKE YOUR DREAMS COME TRUE!
The figure shows intersecting lines k and m. What is the measure of angle a
The measure of angle a is given as 94 degrees.
How to solve for the value of aIn order to get the value of a, we have to use the formula for the sum of angles in a straight line.
The sum of angles that are in a straight line is given as 180
this is summed up and equated to 180
From the figure,
m∠1 = 86 degrees
m∠2 = a
we have to sum this up and equate the value to 180 degrees
86 degrees + a = 180 degrees
a = 180 - 86
a = 94 degrees
Therefore the measure of the angle a is given as 94 degrees
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What is the 10th term of the arithmetic sequence defined by the formula
The 10th term of the arithmetic sequence is T₁₀ = a + 9d. a is the first term and d is the common ratio.
What is a sequence?
A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It has members, just like a set. The length of the sequence is defined as the number of items.
An arithmetic sequence follows a pattern.
Arithmetic progression or arithmetic sequence is a number sequence in which the difference between subsequent terms is constant.
The formula for nth term of the sequence is
Tn = a + (n - 1)d
Where a is the first term, d is the common ratio, and n is the number of terms.
Putting n = 10 in Tn = a + (n - 1)d
T₁₀ = a + (10- 1)d
T₁₀ = a + 9d
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Step be step
(+1 point) Write the equation of the line in slope-intercept form given the following information.
18. slope = -2 and y-intercept (0,6)
(+3 points) Write the equation of the line given the following information in point-slope form
then rewrite in slope-intercept form.
19. Slope =
contains (-4, 3)
Answer:
18. y = -2x + 6
19. y = -1/2x -1/2
Step-by-step explanation:
y = mx + b
18. The point (0,6) 0 is the x-intercept and 6 is the y-intercept
For now, all we care about is 6
-2 is the slope which means the line will go down 2 and right 1
m = slope
b = y-intercept
y = -2x + 6
19.
-1/2 is the slope which means the line will go down 1 and right 2
For the y-intersept, I just played with it on a graphing calculater until I got it right.
m = slope
b = y-intercept
y = -1/2x -1/2
Find the slope of a line perpendicular to the line 4x-3y=12
The slope of the line perpendicular to 4x-3y=12 is:
The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.
What is reciprocal?Reciprocity is a reciprocal exchange of goods, services, or privileges between two parties. It is often used in business transactions and in politics to create beneficial relationships and agreements between parties.
The slope of a line perpendicular to 4x-3y=12 is calculated by finding the negative reciprocal of the slope of the original line. To find the slope of the original line, we need to rewrite the equation in the form y = mx + b, where m is the slope.
In this case, we can rewrite the equation as:
3y = 4x - 12
Yielding the slope of the original line as m = 4/3.
The slope of a line perpendicular to the original line is then the negative reciprocal of 4/3, or -3/4.
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The height of a parallelogram is 4.5 cm. The base is twice the height. What is the area
Answer: 40.5 cm.
Step-by-step explanation:
first the formula for a parallelogram is base times height and we know the height is 4.5 cm and the base is twice the height and 4.5+4.5=9 and then 9x4.5= 40.5
can someone help me pls
All the correct expression are;
⇒ 2x + 6 = 2
⇒ 2(x - 4) = 6x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Now, We have to check all the expression which has x = - 2 as a solution.
So, For first expression;
⇒ 2x + 6 = 2
Put x = -2;
LHS = 2×- 2 + 6
= - 4 + 6
= 2
= RHS
Hence, This expression has a solution x = - 2
For second expression;
⇒ 2(x - 4) = 6x
Put x = -2;
LHS = 2×(- 2 - 4)
= 2 × - 6
= -12
RHS = 6x
= 6×-2
= - 12
Hence, This expression has a solution x = - 2
For third expression;
⇒ 3x + 1/2 = 1/4x + 6
Put x = -2;
LHS = 3×-2 + 1/2
= - 6 + 1/2
= - 11/2
RHS = 1/4x + 6
= 1/4 × - 2 + 6
= - 1/2 + 6
= 11/2
Hence, This expression does not a solution x = - 2.
So, For fourth expression;
⇒ 7 - 3x = 5x + 11
Put x = -2;
LHS = 7 - 3×-2
= 7 + 6
= 13
RHS = 5x + 11
= 5×-2 + 11
= - 10 + 11
= 1
Hence, This expression does not a solution x = - 2.
So, For fifth expression;
⇒ 3x + 15 = 2x + 9
Put x = -2;
LHS = 3×- 2 + 15
= - 6 + 15
= 9
RHS = 2x + 9
= 2×-2 + 9
= - 4 + 9
= 5
Hence, This expression does not a solution x = - 2.
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