The range of the reflected function consists of these reflected y-values. The range of the reflected function is (-4, -2, 1).
The range of a function reflected over the x-axis can be determined by considering the y-values of the original domain. In this case, the given domain points are (3,4), (2,-1), and (-1,2). The reflected points will have the same x-coordinates but opposite y-coordinates. Therefore, the reflected range will be the set of y-values obtained by changing the signs of the y-values in the original domain.
The original domain points have y-values of 4, -1, and 2. When reflected over the x-axis, these y-values become -4, 1, and -2, respectively.
Thus, the range of the reflected function consists of these reflected y-values. The range of the reflected function is (-4, -2, 1).
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If h(x) = -3x - 10, find h(-3).
Answer
-1
2.3
-19
1
...?
The formula for rate is r=d/t . Solve for d.
Which of the following is the inverse of the function {(1,2),(3,4),(6,8)}
A. {(6,8),(3,4),(1,2)}
B. {(2,1),(4,3),(6,8)}
C. {(2,1),(4,3),(8,6)}
D. {(2,1),(3,4),(8,6)}
Give 9.7814 correct to the nearest whole number
Final answer:
9.7814 rounded to the nearest whole number is 10, as the first digit after the decimal point is 7, which requires rounding up.
Explanation:
To find the nearest whole number to 9.7814, we need to look at the first digit after the decimal point. Since this digit is 7 (which is equal to or greater than 5), we round up the number. Rounding up changes 9.7814 to the next whole number, which is 10.
The general rule for rounding to the nearest whole number is:
If the first decimal place is 5 or greater, round up.If the first decimal place is less than 5, round down.Therefore, 9.7814 rounded to the nearest whole number is 10.
What is the prime factorization of 126
The prime factorization of the number 126 is 2,3,3, and 7.
What is prime factorization?Any number can be represented as a sum of prime numbers by prime factorization. A number with exactly two factors, 1 and the number itself, is said to be a prime number. As an illustration, the prime factorization of 18 is 2,3, and 3.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the number is 126. The prime factorization of the number 126 will be calculated as:-
126 = 2 x 3 x 3 x 7
Hence, the prime factorization of the number 126 is 2,3,3, and 7.
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y times 6 for y = 2/3
The width of a square-based storage tank is 3m less than its height. The tank has a capacity of 20 m3. If the dimensions are integer values in metres, what are they?
Which equation shows the substitution method being used to solve the system of linear equations?
x – y = 7
x = y + 3
A.
(y + 3) – y = 7
B.
x = (7 – x) + 3
C.
x – (y + 3) = 7
D.
x – y = y + 3
13 tenths plus 8 tenths plus 32 hundredths <,> =,to 2.42
How many millimeters are in 50 centimeters?
Dayla earns $108.75 for working 15 hours of holiday open rap at this rate how much money will see you earn if she works 18 hours the next week explain
graph the equation. y = 4x - 3
A sneaker store salesman had $4,125 in total monthly sales last month. He made $165 in commission from those sales. What is the salesman's commission as a percent of his total monthly sales? Enter your answer in the box. %
Answer:
Salesman's commission 4% of total monthly sales.
Step-by-step explanation:
A sneaker store salesman had $4,125 in total monthly sales last month.
He made $165 in commission from those sales.
Suppose, it is x% of the total sale.
So, x% of $4125 will be,
[tex]=4125\times \dfrac{x}{100}[/tex]
According to the question it is equal to $165, so
[tex]\Rightarrow 4125\times \dfrac{x}{100}=165[/tex]
[tex]\Rightarrow x=\dfrac{165\times 100}{4125}[/tex]
[tex]\Rightarrow x=\dfrac{16500}{4125}[/tex]
[tex]\Rightarrow x=4\%[/tex]
Therefore, salesman's commission 4% of total monthly sales.
Answer: 4%
Step-by-step explanation:
Due to the fact that the salesman had $4,125 in total monthly sales the previous month, the answer would be 4%
what is 4.09 rounded to the nearest
The equation of line KL is y=-1/2x-6. The equation line WX is 7x-14y=-42. Rewrite the equation of line WX in slope-intercept form and determine if the two lines are parallel.
The equation of line WX in slope-intercept form is,
⇒ y = 1/2x + 3
And, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The equation of line KL is,
⇒ y = - 1/2x - 6.
And, The equation line WX is,
⇒ 7x - 14y = - 42
Now,
The equation of line WX in slope-intercept form is,
⇒ 7x - 14y = - 42
⇒ 7x + 42 = 14y
⇒ 14y = 7x + 42
⇒ y = 7x/14 + 42/14
⇒ y = 1/2x + 3
Hence, Slope of equation of line WX is,
⇒ y = 1/2x + 3
⇒ dy/dx = 1/2
⇒ m = 1/2
And, Slope of equation of line KL is,
⇒ y = - 1/2x - 6
⇒ dy/dx = - 1/2
⇒ m = - 1/2
We know that;
Slopes of parallel lines are equal.
Hence, Lines WX and Kl are not parallel lines because its slopes are not equal to each other.
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A fast food restaurant sells between 164 and 328 hamburgers per day. If the company profits $82.00 per 82 hamburgers sold, approximately how much does the company profit in one year from hamburgers?
PLZZZZZZ HELPPPP
Morgan calculated that he spent 305 minutes doing homework one week and 284 minutes doing homework the next week. How much more time did he spend doing homework the first week?
In the formula A=\pi r^{2}, if the radius is 6 centimeters, what is the correct unit for the area of the circle?
A)\pi cm
B)cm^2
C)cm
D)cm^3
Does antibiotics help kill the common cold??
What is the solution of the equation?
4p/6+27=39
A. 22
B. 99
C. 4
D. 18
What number should be added to the expression x^2 + 2x to change it into a perfect square trinomial?
Write the standard form of the equation of the line that passes through the given points.
(5, 3) and (8, -2)
the formula for finding the area of a circle is a equals pi r square. solve the formula for r.
XY is the perpendicular bisector of JK. which of the following statements must be true? check all that apply?
A. XY and JK form four right angles
B. P is the midpoint of XY
C. m
D. XP=YP
E.JP=KP
F. XY perpendicualr to JK
According to the properties of a perpendicular bisector, XY will form four right angles with JK, XY is perpendicular to JK, and it must bisect JK into two equal parts, making statements A, D, E, and F true.
Explanation:The question tells us that XY is the perpendicular bisector of JK. This tells us a few things about the relationship between the two lines and the points on them:
XY and JK form four right angles: Because XY is a perpendicular bisector, it intersects line JK at a 90° angle.XY perpendicular to JK: This simply restates that the angle formed by the intersection of XY and JK is a right angle.JP=KP: Perpendicular bisectors not only intersect the other line at a right angle, but they also bisect it, which means they cut it into two equal parts. Thus, point J is as far from the point of intersection as point K, making JP equal to KP.XP=YP: This is also a property of the perpendicular bisector. It means that the point of intersection P is the midpoint of XY, making segment XP equal to segment YP.The options regarding P being the midpoint of XY and the statement that includes an undefined variable 'm' were ignored due to lack of context.
Final answer:
The statements that must be true when XY is the perpendicular bisector of JK are: XY and JK form four right angles, P is the midpoint of XY, XP = YP, and XY is perpendicular to JK.
Explanation:
To determine which of the statements must be true, we need to understand the properties of a perpendicular bisector. A perpendicular bisector of a line segment is a line that divides the line segment into two equal parts and forms a right angle with the line segment.
From this definition, we can conclude that the following statements must be true:
A. XY and JK form four right angles - Since XY is the perpendicular bisector of JK, it forms a right angle with JK at each point of intersection.
B. P is the midpoint of XY - The perpendicular bisector passes through the midpoint of the line segment it bisects.
C. XP = YP - Since P is the midpoint of XY, XP and YP have equal lengths.
F. XY is perpendicular to JK - This is the definition of a perpendicular bisector.
Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 5(x + 8)2(x - 8)3
A. 4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3
B. -8, multiplicity 2; 8, multiplicity 3
C. -8, multiplicity 3; 8, multiplicity 2
D. 4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1
The given polynomial has roots -8 with multiplicity 2 and 8 with multiplicity 3. Hence option B is correct.
Use the concept of polynomial defined as:
An expression that contains exponents, variables, and constants that is combined using mathematical operations such as addition, subtraction, multiplication, and division is known as a polynomial.
The given polynomial is:
f(x) = 5(x + 8)²(x - 8)³
To find its root equate this polynomial to 0.
Then,
5(x + 8)²(x - 8)³ = 0
(x + 8)²(x - 8)³ = 0
(x + 8)(x + 8)(x - 8)(x - 8)(x - 8) = 0
Therefore,
x = -8, -8, 8, 8, 8
Hence,
It has root -8 with multiplicity 2 and 8 with multiplicity 3 which is option B.
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The complete question is:
Find the zeros of the polynomial function and state the multiplicity of each.
f(x) = 5(x + 8)²(x - 8)³
A. 4, multiplicity 1; -8, multiplicity 3; 8, multiplicity 3
B. -8, multiplicity 2; 8, multiplicity 3
C. -8, multiplicity 3; 8, multiplicity 2
D. 4, multiplicity 1; 8, multiplicity 1; -8, multiplicity 1
who good at the math
how to find a whole number in this question 4% of ... is 56?
The hand on a clock shows 6:00pm what is the measure of the angle
What did the inventor of the 10 ton truck so often say
Answer:
This is an equation in which we have to find the slope of the line. We are supposed to draw the line for the two given points.
Step-by-step explanation:
The equation and the graph are solved as:
For graph One: B=(4,4)(1,2) for that m= 2/3. E=(2,0)(-4,4), for this m=-2/3. O=(1,-3)(-3,-4),m=1/4.for Second graph: I=(-1,-3)(2,3), m=2. E=(-4,-3)(-2,-1), m=-2. O=(-3,0)(-1,5),m=5/2. for the third graph:E=(0,2)(5,-1),m=-3/5. D=(5,6)(2,-1), m=7/3.L=(-5,2)(0,-3),m=-1.for the fourth graph: D=(0,0)(2,-6),m=-3. G=(4,5)(-2,4),m=1/6. S=(2,-3)(-5,-3), m=0.Now the Graphical data and the results are attached to the answer, given hope it helps out.
Assume the function has an inverse. Without solving for the inverse find the indicated function values: f(x)=x^3+4x-1, (a) f^-1 (-1) (b) f^-1 (4) ...?
To find the indicated function values of the inverse of a function, substitute the given values into the original function and solve for x.
Explanation:To find the indicated function values of the inverse of the function f(x)=x^3+4x-1, without solving for the inverse function, we substitute the given values into the original function and solve for x.
(a) To find f^-1(-1), we substitute -1 into the function: f(-1)=(-1)^3+4(-1)-1 = -1+(-4)-1 = -6.
(b) To find f^-1(4), we substitute 4 into the function: f(4)=(4)^3+4(4)-1 = 64+16-1 = 79.