You’ve learned to identify whether a function is even or odd both graphically and algebraically. How does the notation for reflections over the x-axis and over the y-axis relate to the notation for even and odd functions? Remember that if f(-x) = f(x), a function is even, and if f(-x) = -f(x), then the function is odd.
Answer:
Because even and odd are 2 different ways to determine whether or not you get the right answer for the chosen function.
Step-by-step explanation:
Hope this helps!!!
Answer:
For even functions, we take f(-x) to be the starting function. The y-axis reflection of this function is f(-(-x)), which is equal tof(x). So the relationship f(-x) = f(x) means that the function is the same as its y-axis reflection.
For odd functions, there are two reflections that must occur. First, we start with f(-x). The y-axis reflection of this function is f(-(-x)) = f(x). When we apply an x-axis reflection to this result, we get -f(-(-x)) = -f(x). So the fact that f(-x) = -f(x) means that odd functions are the same as sequential reflections across both the x-axis and the y-axis. (The same sequence of reflections also represents a rotation 180 degrees about the origin).
Step-by-step explanation:
What's the x that will make the fraction greater than or equal to 75%
Please show the thought process to get to x=16
1/5 = 20%
x-4/x >= 75% (x => 16. 12/16 = 75%)
Thanks,
Merry Christmas
9514 1404 393
Answer:
x ≥ 16 or x < 0
Step-by-step explanation:
You want ...
(x -4)/x ≥ 3/4
4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)
4x -16 ≥ 3x
x ≥ 16 . . . . . . . . . . add 16-3x
__
For x < 0, multiplying by 4x gives ...
4(x -4) ≤ 3x
4x -16 ≤ 3x
x ≤ 16 . . . . . and x < 0
__
There are two sets of solutions:
x < 0 or x ≥ 16
is 3x+y=12 linear or nonlinear
Answer: It is linear
Divide. Write in simplest form.
3/4 divided by 1/8
Answer:
when you divide 3/4 by 1/8 you get 6
if [tex]\frac{r + s}{x - y} = \frac{3}{4}[/tex] then [tex]\frac{8r + 8s}{15x - 15y}[/tex] equals
Answer:
[tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyEquality PropertiesStep-by-step explanation:
Step 1: Define
[tex]\frac{r+s}{x-y} = \frac{3}{4}[/tex]
[tex]\frac{8r+8s}{15x-15y} = ?[/tex]
Step 2: Find Unknown
Multiply both sides by 8/15: [tex]\frac{8}{15} \cdot \frac{r+s}{x-y} = \frac{8}{15} \cdot \frac{3}{4}[/tex]Distribute/Multiply: [tex]\frac{8r+8s}{15x-15y}= \frac{24}{60}[/tex]Simplify: [tex]\frac{8r+8s}{15x-15y} = \frac{2}{5}[/tex]The function, y=1000(1.005)^x, models the value of $1000 deposited at an interest rate of 6% per year, 0.005 per month, x months after the money is deposited.
a. Graph the function on your graphing calculator to predict how many months it will be until the account is worth $1,100.
b. Predict how many years it will be until the account is worth $5,000.
Answer: did this on edge
a. 19 months
b. 27 years
Step-by-step explanation: hope this helps:)
1
Plug the function y=1000(1.005)^x into your graphing calculator.
2
Put a split screen table. Use the table to find where x months will equal $1100
3
~19 months=1100
4
Use the table to find where x months is equal to $5000.
5
~27 years=5000
RESULT
a. 19 months
b. 27 years
4 movie tickets cost $48. At this rate, what is the cost of 11 movie tickets? *
Answer:
4 tickets =$48
1 ticket = $48/4
= $ 12
11 tickets =11*$12
= $132
3.5x + 4y if x=3 and y = 7
4 6x-42 if x =4 and 2
5.83 +4 ry if y=2 and y= 100
3,5× 3 + 4 × 7 =3 8,5
46*4-42=143 46* 2- 4 2= 50
5,83+4*2=13,83 5,83+4*100=405,83
By what percent is 16 greater than 12.
Answer:
28 i assume.
Answer:
The answer is 28% :))
Compré 18 cuadernos, 24 carpetas y 17 lapiceras. El precio de las carpetas excede al de los cuadernos en un 40%, mientras que el precio de las lapiceras es el 20% del precio de los cuadernos. Si el importe de la compra fue de $11.825, calcular el precio unitario de cada artículo
Answer:talk some English dude
Step-by-step explanation:
Please help!!! I will make brainliest
Answer:
I believe that all should be checked except for f(x) = x^6 which u already didn't check
Step-by-step explanation:
The equation is y = ab^x and all the equations, except that one, follow this formula
A certain radioactive isotope has a half-life of 50 years. A scientist determines that there are 200 grams of the radioactive material present today. How
Much of the isotope was present 200 years ago?
im guessing 800 50X4 = 200 and 200X4 = 800
i never learned this but i hope its correct.
graph the image of triangle PQR after a reflection across the line y = 2
Answer: Refer to the diagram below
P ' is at (-7, 9)Q ' is at (1, 9)R ' is at (-6, 4)================================================
Explanation:
The diagram shows how point R moves to R'. We move up 2 units going from R(-6,0) to (-6,2). This lands us on the line of reflection. Then we move another 2 units up to land on (-6,4) which is the location of point R'.
The other points P and Q follow the same idea. Though the distances will be different from R. For P and Q, we'll move 7 units up to arrive at the line of reflection, then another 7 units to arrive at the proper locations of P' and Q', which are (-7,9) and (1,9) respectively.
Answer:
If we draw the line of y=2 and if we find the reflections we have the new points of...
R(-6,4)Q(1,9)P(-7,9)Now all we have to do it plot these points, and then we have the triangle PQR
Merry Christmas please help
Answer:
A function maintains a constant slope and shows no irregularities such at x1= 10 and y2= -100 and then x2= -90 and y2= 900Hence WWhich system of equations has no solution?
5 x + 5 y = 10 and 2 x + 2 y = 4
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
6 x + 2 y = 6 and 7 x + 3 y = 9
3 x minus 4 y = 16 and 2 x + 3 y = 5
Question #2
Two linear equations are represented by using the tables below.
A 2-column table with 4 rows is titled Equation A. Column 1 is labeled x with entries negative 5, negative 2, 0, 1. Column 2 is labeled y with entries negative 4, negative 1, 1, 2.
A 2-column table with 4 rows is titled Equation B. Column 1 is labeled x with entries negative 6, negative 3, 3, 6. Column 2 is labeled y with entries negative 4, negative 2, 2, 4.
The data points for equation A are plotted on the coordinate plane below and are connected by using a straight line.
On a coordinate plane, a line goes through points (negative 5, negative 4), (negative 2, negative 1), (0, 1), (1, 2).
What is the solution to the system of equations?
(–6, –4)
(–5, –4)
(–3, –2)
(0, 1)
Answer:
is (-3,-2)
Step-by-step explanation:
because you are graphing them on a chart find
Answer:
3 x minus 6 y = 4 and negative 4 x + 8 y = 7
Did the unit test review got it right.
Step-by-step explanation:
Please Help
Find the coordinates of the point P that divides the directed line segment from A to B in the given ratio.
A(-6, 9), B(2, 1); Ratio 5 to 3
Answer:
The coordinates of the point P = (x, y) = (-1, 4)
Step-by-step explanation:
Let the coordinates of P be (x, y)
(x₁, y₁) = (-6, 9)(x₂, y₂) = (2, 1)ratio = m:n = 5:3Using the section formula
x = [(mx₂ + nx₁)] / [(m+n)]
= [5(2)+3(-6)] / [5+3]
= [10-18] / [8]
= -8/8
= -1
y = [(my₂ + ny₁)] / [(m+n)]
= [5(1)+3(9)] / [5+3]
= [5+27] / [8]
= 32/8
= 4
Therefore, the coordinates of the point P = (x, y) = (-1, 4)
The y-intercept of 2x - y = 6 is -6.
O False
True
Answer:
It is true
Step-by-step explanation:
Convert to slope-intercept form:
2x-y=6
-y=6-2x
y=-6+2x
y=2x-6
Since y=mx+b is the form we want, then b=-6, making the statement true.
Answer:
true
Step-by-step explanation:
you switch the 2x to the other side to get -y = 2x + 6
then you multiply everything by -1 to get y = -2x-6
-6 is the y int
Use the graph below to find f(-2) =
please help with this question (d+2)(-7)
Answer:
-7d-14
Step-by-step explanation:
First, let's distribute -7 to (d+2)
-7xd
-7x2
We will get -7d-14
Please help soon! Thanks! Solve for x
Answer:
[tex]x=30^{\circ}[/tex]
Step-by-step explanation:
Looking at [tex]\triangle LMN[/tex]:
[tex]\angle NML = 180 - (90+45)[/tex] (angle sum of triangle is [tex]180^{\circ}[/tex])
[tex]=45^{\circ}[/tex]
Looking at [tex]\triangle KNM[/tex]:
[tex]\angle KNM = 180-105[/tex] (angle of straight is [tex]180^{\circ}[/tex])
[tex]=75^{\circ}[/tex]
[tex]\angle KNM + \angle NKM + \angle KMN = 180[/tex] (angle sum of triangle is [tex]180^{\circ[/tex])
[tex]75+2x+45 = 180[/tex]
[tex]2x+120 = 180[/tex]
[tex]2x=60[/tex]
[tex]x=30^{\circ}[/tex]
Hope this helps :)
12 points!! PLEASE
y =(x-3) - 4
rewrite these in standard and factored form!!
Standard form:
x - y = 7
Factored form:
y = x - 7
Answer:
y = x - 3 - 4
y = x - 7
(x - 7 = y)
(x = y + 7)
Step-by-step explanation:
Hope you got it.
The slope of a line perpendicular to y = 2x + 1 is -2.
False
True
Answer:
incorrect.
Step-by-step explanation:
the slope of the line perpendicular is the negative reciprocal, which in this case is -1/2
Answer:
False
Step-by-step explanation:
To find the slope of a perpendicular, flip the slope and change the sign.
The slope pf the given line is 2.
The slope of a line perpendicular to y = 2x + 1 is -1/2.
Answer: False
HELP PLEASE!!
What is Y
PLEASE HELP ITS MULTIPLE CHOICE i’ll mark brainliest too!!
Step-by-step explanation:
For the left end of the function, it moves up towards positive infinity.
For the right end of the function, it movea down towarda negative infinity.
Therefore as x approaches -infinity, y approaches +infinity and as x approaches +infinity, y approaches negative infinity. (2nd option)
Suppose a country's population at any time t grows in accordance with the rule dP dt = kP + I where P denotes the population at any time t, k is a positive constant reflecting the natural growth rate of the population, and I is a constant giving the (constant) rate of immigration into the country. If the total population of the country at time t = 0 is P0, find an expression for the population at any time t.
Answer:
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
Step-by-step explanation:
Given that:
A country population at any given time (t) is:
[tex]\dfrac{dP}{dt}= kP+I[/tex]
where;
P = population at any time t
k = positive constant
I = constant rate of immigration into the country.
Using the method of separation of the variable;
[tex]\dfrac{dP}{kP+1}= dt[/tex]
Taking integration on both sides:
[tex]\int \dfrac{dP}{kP+I}= \int \ dt[/tex]
[tex]\dfrac{1}{k} log (kP + I) = t+c_1 \ \ \ here: c_1 = constant \ of \ integration[/tex]
[tex]log (kP + I) =k t+kc_1[/tex]
By applying the exponential on both sides;
[tex]e^{log (kP + I) }=e^{k t+kc_1 }[/tex]
[tex]KP+I = e^{kt} *e^{kc_1}[/tex]
Assume [tex]e^{kc_1 }= C[/tex]
Then:
[tex]kP + I = Ce^{kt}[/tex]
[tex]kP = Ce^{kt}-I[/tex]
[tex]P =\dfrac{ Ce^{kt}-I}{k} \ \ \---- Let \ that \ be \ equation \ (1)[/tex]
When time t = 0, The Total population of the country is also [tex]P_o[/tex]
[tex]P_o = \dfrac{Ce^{0(t)} -I}{k}[/tex]
[tex]P_o = \dfrac{Ce^{0} -I}{k}[/tex]
[tex]P_o = \dfrac{C-I}{k}[/tex]
C - I = kP₀
C = kP₀ + I
Substituting the value of C back into equation(1), we have:
[tex]P =\dfrac{ (kP_o+1)e^{kt}-I}{k}[/tex]
[tex]P =\dfrac{ (kP_o+1)e^{kt}}{k} - \dfrac{I}{k}[/tex]
[tex]\mathbf{P =\bigg (P_o +\dfrac{ I}{k} \bigg)e^{kt}- \dfrac{I}{k}}[/tex]
I need help please I am having hard time doing this
Answer:you are corect its negetive
Step-by-step explanation:
Find 56(−4⋅27). Write your answer in simplest form.
Answer:
[tex]-6048[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]
[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]
[tex]56\left(-108\right)[/tex] = [tex]?[/tex]
[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
6a-2z
Please help me
Answer:
2(3a-z)
cannot be further simplified
Step-by-step explanation:
In 1992, Jason bought a gallon of gas for $1.15. Yesterday, he bought a gallon of gas for $2.12. What is the percentage increase of the price of a gallon of gas from 1992 to yesterday? If necessary, round to the nearest tenth of a percent.
A.
84.3%
B.
45.8%
C.
54.2%
D.
15.7%
The model y=1.8x−76.9 represents the relationship between the temperature (°F) and the number of ice cream cones sold. Using the model, approximate the temperature when there are 95 ice cream cones sold. Round your answer to the nearest tenth.
Answer: 75.1
Step-by-step explanation:
Answer:
86.0*
Step-by-step explanation:
i am not 100% sure