Select the correct answer.
The graph of function fis shown
y +10
+5
5
10
-10
Which statement correctly describes the graph of 9() = (– 4);
A. Function g has the same horizontal asymptote as fand a vertical asymptote at 3 = 5.
ОВ. Function g has the same vertical asymptote as fand a horizontal asymptote at y = -2.
OC Function g has the same vertical and horizontal asymptotes as function f.
OD. Function g has a horizontal asymptote at y = -2 and a vertical asymptote at = 5.
Answer:
A
Step-by-step explanation:
The correct statement describing the graph is ''Function has the same horizontal asymptote as fand a vertical asymptote at x = 6''.
What is vertical asymptote?A vertical asymptote occurs in rational functions at the points when the denominator is zero and the numerator is not equal to zero.
here, we have,
We have to determine
Which statement correctly describes the graph of g(x) = f(x - 9)?
According to the question
Graph;
The straight-line x=6 is a vertical asymptote of the graph of the function if at least one of these conditions is true:
Vertical asymptotes are the vertical lines corresponding to the zeroes of the denominator of the rational number, to calculate the vertical asymptotes simply put the denominator of the rational number to zero, and solve for x, this is the required vertical asymptotes, if the denominator of the rational number is a quadratic, cubic types equations or any other polynomial then simplify put the whole equation to zero and simplify used any method for x, this is the required vertical asymptotes.
Hence, Function has the same horizontal asymptote as fand a vertical asymptote at x = 6.
To know more about vertical asymptote, click the link given below.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Write the fraction in simplest form.
6/22=?
Answer:
3/11
Step-by-step explanation:
Divide both the numerator and denominator by 2.
[tex]\dfrac{6}{22}=\dfrac{2*3}{2*11}=\dfrac{3}{11}[/tex]
A scientist was in a submarine below sea level studying ocean life over the next 10 minutes she dropped 23.5 feet how many feet has she been below sea level if she was 89.2 feet below sea level after she dropped
Answer:
65.7 ft.
Step-by-step explanation:
at first, let's say she was x fts. below sea level.
over the next 10 minutes she drops 23.5 ft.
that is her height below sea level then becomes
(x + 23.5) ft.
and it's given that she dropped to 89.2 ft. below sea level.
x + 23.5 = 89.2
x = 89.2 - 23.5
x = 65.7 ft.
and x was the height she's been below sea level.
Therefore ,she's been 65.7 ft. below sea level.
Answer:
65.7
Step-by-step explanation:
We need to find out how many feet she was at. So it is really simple you have to subtract 23.5 from 89.2 and you will get 65.7 which was how many feet she was.
NO LINKS OR ASSESSMENT!!!
Part 2: Graph the image of the figure using the transformation given. Don't forget to prime marks on your new image.
4. Reflection across the y-axis
Answer:
F' = (2 , -4)
G' = (-1 , -3)
H' = (4 , 0)
I' = (5 , -2)
Step-by-step explanation:
To get the coordinate points of a figure that is reflected across the y-axis, perform the following action to each point:
(x , y) → (-x , y)
Using this will give the points of F', G', H', and I'.
To find the new points, plug in the values into the formula:
F → F' = (-2 , -4) → (2 , -4)
G → G' = (1 , -3) → (-1 , -3)
H → H' = (-4 , 0) → (4 , 0)
I → I' = (-5 , -2) → (5 , -2)
To graph the new figure, plot the new points and connect them. At each point, remember to label them with the corresponding letter as well as the ' symbol.
QUICK!!
Which equation represents the relationship shown in the graph??
Answer:
y=1/2x
Step-by-step explanation:
Look at the graph, all you need is the first point.
Y is at 4 and X is at 2. We can divide y/x to get 4/2=1/2x
what new realization do you have about finding the nth term of the arithmetic sequence and finding the arithmetic means how would you use this in making decision
Step-by-step explanation:
Arithmetic Sequnce in our daily life
The knowledge of calculating the nth term of a sequence can be very helpful. Calculating loans, discounts, salary, savings are some of the use of arithmetic method. If I save P5 per day for 5 years, I can simply use arithmetic sequence to find how much I saved from day 1 to last. Salary increase can also be solved using arithmetic sequence. Below is an example.
Sample real life problem:
1. I earn P300 on the first day. After each succeeding day, I earn P2 more than the previous day. How much should I be able to earn after 30 days?
In this situation, I would use the arithmetic sequence formula which is:
an = a1 + (n - 1)d
an is the nth term
a1 is the first term
n is the term position
d is the common difference
Lets subsitute:
an = P300 + (30 - 1)P2
an = P358
I should earn P348 at the end of 30 days
I really need help getting these answers please
Answer:
[tex]f(x) = \frac{5}{2} x + \frac{21}{2} \\ f(x) = 2 \\ f(x) = - \frac{3}{2} x + 4[/tex]
I need help with those problems
Answer:
for the first one it's 36
for the second its 13
you earn $40 for washing 8 cars. How much do you earn for washing 4 cars
Answer:
$20
Step-by-step explanation:
Divide 40 by 8. Then multiply that answer by 4.
You divide 40 by 8 to see how much 1 car wash takes. Then multiply it by how many cars is in the question.
You roll a six-sided die. Find the probability of each of the following scenarios
(a) Rolling a 6 or a number greater than 3
(b) Rolling a number less than 5 or an even number
(c) Rolling a 4 or an odd number
---
(a) P(6 or number > 3) = 0.500 (Round to three decimal places as needed)
(b) P(1 or 2 or 3 or 4 or 6) =
(Round to three decimal places as needed.)
Answer:
a) [tex]1/2[/tex]
b) [tex]5/6[/tex]
c) [tex]2/3[/tex]
Step-by-step explanation:
a)
Rolling a number greater than 3 means you can roll a 4, 5, or 6, which contains rolling a 6. So, the probability is [tex](1+1+1)/6=3/6=\boxed{1/2}[/tex]
b)
Rolling a number less than 5 means you can roll a 1, 2, 3, or 4, but because you could also roll an even number, so you could also roll a 6.
So, the probability is [tex](1+1+1+1+1)/6=\boxed{5/6}[/tex]
c)
Rolling a 4 or an odd number means you can roll a 1, 3, 5, or 4. So, the probability is [tex](1+1+1+1)/6=4/6=\boxed{2/3}[/tex]
I need help I don’t understand
Answer:
*Replace each "x" with the required numbers .
1) g (14) ; Ans;
[tex] g(x) = 2x \\ g(14) = 2(14) \\ g(14)= 28 [/tex]
___o_o___
2) f (-8) ; Ans;
[tex]f(x) = x + 3 \\ f( - 8) = - 8 + 3 \\ f( - 8) = - 5[/tex]
___o_o___
3) j (3) ; Ans;
[tex]j(x) = ( - 1)^{x + 2} \\ j(3) = {( - 1)}^{3 + 2} \\ j(3) = {( - 1)}^{5} \\ j(3) = - 1[/tex]
___o_o___
4) h (4) ; Ans;
[tex]h(x) = {3}^{x} \\ h(4) = {3}^{4} \\ h(4) = 81[/tex]
___o_o___
5) f (2.8) ; Ans;
[tex]f(x) = x + 3 \\ f(2.8) = 2.8 + 3 \\ f(2.8) = 5.8[/tex]
___o_o___
6) j(-5) ; Ans;
[tex]j(x) = {( - 1)}^{x + 2} \\ j( - 5) = {( - 1)}^{ - 5 + 2} \\ j( - 5) = {( - 1)}^{ - 3} \\ \\ j( - 5) = \frac{1}{ {( - 1)}^{3} } \\ \\ j( - 5) = \frac{1}{ - 1} \\ \\ j( - 5) = - 1[/tex]
___o_o___
7) g(3/4); Ans;
[tex]g(x) = 2x \\ \\ g( \frac{3}{4} ) = 2( \frac{3}{4} ) \\ \\ g( \frac{3}{4} ) = \frac{3}{2} \\ \\ g( \frac{3}{4} ) = 1.5[/tex]
___o_o__
8) [h(6.2)]² ; Ans;
[tex]h(x) = {3}^{x} \\ h(6.2) = {3}^{6.2} \\ h(6.2) = 908.13785497 \\ \\ {(h(6.2))}^{2} = ({3}^{6.2})^{2} \\ {(h(6.2))}^{2} = 824714.36364715[/tex]
___o_o___
9) j(2) + g(-3) ; Ans;
[tex]j(x) = {( - 1)}^{x + 2} \\ j(2) = {( - 1)}^{2 + 2} \\ j(2) = {( - 1)}^{4} \\ j(2) = 1 \\ \\ g(x) = 2x \\ g( - 3) = 2( - 3) \\ g( - 3) = - 6 \\ \\ \\ j(x) + g(x) \\ j(2) + g( - 3) \\ 1 + ( - 6) \\ 1 - 6 \\ j(2) + g( - 3) = - 5[/tex]
___o_o___
10) h(1) - f(-10) ; Ans;
[tex]h(x) = {3}^{x} \\ h(1) = {3}^{1} \\ h(1) = 3 \\ \\ f(x) = x + 3\\ f( - 10) = - 10 + 3 \\ f( - 10) = - 7 \\ \\ \\ h(x) - f(x) \\ h(1) - f( - 10) \\ 3 - ( - 7) \\ 3 + 7 \\ = 10 \\ h(1) - f( - 10) = 10[/tex]
___________o____o__________
**We look at the table. If f(4) or f(-2) is required, it came from f(x) by substitution each x with the required numbers, and the result is in the table f(x) .
***But if he says that f(x) is equal to a number, he means the resulting table f(x) and asks for the "x" that you take from the table "x" .
Table (1) Ans;
f(4) = –3
f(-2) = – 6
If f(x)= -3 ,then x = 4
If f(x) = 1 , then x = 3
___o_o___
Table (2) Ans;
f(4) = –7
f(-2) = 1
If f(x)= -3 ,then x = 0
If f(x) = 1 , then x = - 2
___o_o____
Table (3)Ans;
f(4) = 7
f(-2) = 3
If f(x)= -3 ,then x = 6
If f(x) = 1 , then x = 0
I hope I helped you^_^
Evaluate a1 (r)^n-1 for a1 = 2, r= 3, and n = 4.
A. 216
B. 18
C. 32
D. 54
Answer:
[tex]54[/tex]
Answer D is correct
Step-by-step explanation:
[tex]a_1 \: {r}^{n - 1} \\ 2 \times {3}^{4 - 1} \\ 2 \times {3}^{3} \\ 2 \times 3 \times 3 \times 3 \\ 2 \times 9 \times 3 \\ 2 \times 27 \\ = 54[/tex]
Hope this helps you.
Let me know if you have any other questions :-)
The square root of 75 is closet to wich is not following
Answer:
B.) 9
Step-by-step explanation:
The square root of 75 is 8.660254038 (or 8.6). The 6 tells us that we need to round up to a whole number which makes it the closest to 9
Find the area of the figure.
Answer:
24 units^2
Step-by-step explanation:
bc=6
ab=8
area of a triangle: b*l/2
6*8/2=24
Answer: Area of the figure = 24
Concept:
Here, we need to know how to find the area of a triangle.
Area (triangle) = (1/2) · b · h
b = base
h = height
Solve:
Given coordinates on the graph
A (-5, 5)
B (-5. -3)
C (1, -3)
To find the value of the height, we need to know the value of a vertical line, meaning the [x] value of the points on the line is equal. As we can see from the given coordinates, point A and point B has the same [x] value. The value of the height equals the difference between A and B's [y] value
A (-5, 5)
B (-5, -3)
5 - (-3) = 5 + 3 = 8
To find the value of the base, we need to know the value of a horizontal line, meaning the [y] value of the points on the line is equal. As we can see from the given coordinates, point B and point C has the same [y] value. The value of the base equals the difference between B and C's [x] value
B (-5, -3)
C (1, -3)
1 - (-5) = 1 + 5 = 6
Given expression
A = (1/2) · b · h
Substitute values into the expression
A = (1/2) · (6) · (8)
Simplify by multiplication
A = (1/2) · (48)
[tex]\boxed{A =24}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Write the word namefor the decimal 31.903
The lovin' lemon company sells a 4-gallon jug of lemonade for $24. The sweet and sour company sells an eight pack of 1-quart bottles of lemonade for $16.00 . which company has a higher unit price? explain our answer
Answer:
the lovin lemon
Step-by-step explanation:
there are 4 quarts in a gallon so 4 times 16 is 64 for just one gallon so the answer would be the lovin lemon is cheaper
Which equations are correct?
Select each correct answer.
−4b^4(5b^2+6)=−20b^8−24b^3
−5x^3(3x^3+2)=−15x^9−10x^3
−3y^5(2y^3+3)=−6y^8−9y^5
−2c^6(5c^3+6)=−10c^9−12c^6
Answer:
3y^5(2y^3+3)=−6y^8−9y^5
−2c^6(5c^3+6)=−10c^9−12c^6
are the correct equations.
Step-by-step explanation:
If you simply all these equations you will get following equations :
when bases are same and are in multiplication we add the exponents.
−4b^4(5b^2+6)=−20b^6−24b^4
−5x^3(3x^3+2)=−15x^6−10x^3
−3y^5(2y^3+3)=−6y^8−9y^5
−2c^6(5c^3+6)=−10c^9−12c^6
so equation 3 and 4 are correct.
Evaluate the expression. −3(−15−2(−9))2 What is the value of the expression? Enter your answer in the box.
please mark this answer as brainlist
The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The expression is given below.
⇒ −3[−15 − 2(−9)]²
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ −3[−15 − 2(−9)]²
⇒ −3[−15 + 18]²
⇒ −3[3]²
⇒ −3 × 9
⇒ −27
The value of the numerical expression −3[−15 − 2(−9)]² will be negative 27.
More about the value of the expression link is given below.
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Need some help on this question please provide evidence on how you came up with the answer aswell.
Answer:
No and No
Step-by-step explanation:
Squaring a odd, whole, number results in a even number 99% of the time with the only exception being 1 (1^2 equals 1). If m is 3 and n is 5, mn would be 15, so if both m and n are odd they don't always equal a even number.
Answer:
Step-by-step explanation:
If we are dealing with whole real numbers.
Both answers are based on the same idea.
The product of two numbers is even only if at least one of the two multiplicands is even.
The square of an odd number can only result in an odd number. The reverse is true as well. The square root of an odd number can only be an odd number.
This comes from number theory where multiplication is the repeated addition of one number a certain number of times.
If the first number is even, then every time you add itself again results in an even number, It does not matter if you add an even or odd number of times.
If the first multiplicand is odd, the sum of two odd numbers is always even, adding a third odd multiplicand again results in an odd number, the fourth is even, the fifth is odd, the pattern continues forever. The summation of an even number of odd multiplicands results in an even number. The summation of an odd number of odd multiplicands results in an odd number.
Please help. I need all of them answered. I will give extra point and brainiest to best answer.
Answer:
See belowStep-by-step explanation:
Open the parenthesis:
#1y = (x - 7)(x + 2) = x² + 2x - 7x - 14 = x² - 5x - 14#2y = 4(x + 5)(x - 1) = 4(x² - x + 5x - 5) = 4(x² + 4x - 5) = 4x² + 16x - 20#3y = - 2(x + 1)(x - 2) = -2(x² - 2x + x - 2) = -2(x² - x - 2) = -2x² + 2x + 4Hey ! Can anyone help me with this question please ? Thank you
Answer:
7
Step-by-step explanation:
4x-13 = x + 8
3x = 21
x = 7
enjoy
George bought 9 apples that cost 50 cents each. He paid with a five dollar bill. How much change did George receive?
Step-by-step explanation:
pls follow me this is my new.id
Answer:
He has 9 apples so we add .50 cents 9 times.
If we count this money-wise we would get 4.50, so if he paid with a $5 bill he would recieve 50 cents
Step-by-step explanation:
A triangle has side lengths of (5.9d – 1.1f) centimeters, (3.4d – 9.1g)
centimeters, and (8.1g – 9.3f) centimeters. Which expression represents the
perimeter, in centimeters, of the triangle?
Answer: 9.3d−g-10.4f
Step-by-step explanation:
no linksWhich value completes the equation?
56
,
000
÷
Choose...
= 800
Answer:
800
Step-by-step explanation:
divide 5 and 8
5(t-9) +12t=20
3(6m-17),m=5
Are 6/9 and2/3 proportion
Answer:
yes, they are proportional
Step-by-step explanation:
6/9 is just three time as big as 2/3 but they are basically the same fraction
Answer:
Step-by-step explanation:
yes, it is proportional
6/9 = 2/3
18 = 18
Seven more than twice a number is greater than negative nineteen. Find all numbers that make this statement true.
The answer is I (Type an inequality using x as the variable.)
Answer:
Hey there,
Let the unknown number be x
Here they say that ,
Seven more than twice a number,
2x + 7
Is greater than,
2x + 7 >
Negative 19,
2x + 7 > -19
Now solve for x
[tex]2x + 7 > - 19 \\ 2x > - 19 - 7 \\ 2x > - 26 \\ \frac{2x}{2} > \frac{ - 26}{2} \\ x > - 13[/tex]
So,
All the numbers which are greater than (-13) makes this statement true.
Examples
[tex]x = { - 12, - 11, - 10, - 9...} \\ [/tex]
Hope this helps you.
Let me know if you have any other questions :-):-)
All numbers that makes, the statement "Seven more than twice a number is greater than negative nineteen" True, are the numbers greater than -13.
Let us denote the unknown number as "x",
The given statement can be translated into an inequality as follows:
7 + 2x > -19,
Now, to solve for "x," we separate the variable by subtracting 7 from both sides of the inequality,
We get,
2x > -26
Divide both sides by 2:
We have,
x > -13
Therefore, any number greater than -13 would make the statement "Seven more than twice a number is greater than negative nineteen" true.
In interval notation, this would be written as (-13, ∞), indicating all real numbers greater than -13.
Learn more about Inequality here
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2. Translate P(4, 0) right 3 units and up 5 units. Give the coordinates of the image point.
O(-5, 1)
O(1,-5)
O (5,7)
O (7,5)
The coordinates of the image point will be P''(7, 5).
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation {k units} : When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation {k units} : When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward translation {k units} : When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward translation {k units} : When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the rightGiven is to translate P(4, 0) right by 3 units and up by 5 units.
Rightward translation : P'(4 + 3, 0 + 0) = P'(7, 0)
Upward translation : P''(7 + 0, 0 + 5) = P''(7, 5)
Therefore, the coordinates of the image point will be P''(7, 5).
To solve more questions on Graph translations, visit the link below -
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please someone answer with an explanation if possible!
Answer:
download gauth math and scan it and will give u the answer
Answer:
C
Step-by-step explanation:
The y intercept is where the line first crosses the y axis, so it would be positive 2. The slope is negative because it's diagonally going the left way, and its 3 because from one point to another it's 3 down and 1. The formula for a slope is rise/run, in this case it would be 3/1 which is 3.
PLEASE HELP 100 POINTS AND BRAINLEST TO WHOEVER CAN HELP ME!!!!!
Precalculus: Use Function Notation and Describe Graphs Project
Description
In this project you will use words and function notation to describe the connection between the transformation of a function’s graph and the affect on the function’s equation. Then you will explain how the Point-Slope equation for a line can be explained as a transformation of the parent function
.
Requirements
You may submit a Word document, or Powerpoint file or pdf.
Name your file: Last name first name Use Function Notation and Describe Graphs Project. (My project done in Word would be name “Parker Carla Use Function Notation and Describe Graphs Project.docx”)
Projects that are not named properly will be reset for you to resubmit your project.
Blank projects or irrelevant files will result in the project being reset and the student losing access to auto-progression.
Answer the following questions using words and the appropriate equation from the Transformation Equations Bank.
What must be done to a function’s equation so that its graph is shifted vertically upward?
What must be done to a function’s equation so that its graph is shifted horizontally to the right
What must be done to a function’s equation so that its graph is stretched vertically?
Describe what the graph of looks like.
Explain how the Point-Slope equation, is a transformation of .
Answer:
esult in the project being reset and the student losing access to auto-progression.
Answer the fol