The parenthesis are been used just as the absolute value signs. * 2 points Given the parent function f(x) = r, the function g(x) = (x - 1)3 - 2 is the result of a shift of f(x) (1) 1 unit left and 2 units down (2) 1 unit left and 2 units up (3) 1 unit right and 2 units down (4) 1 unit right and 2 units up 0 1 2 3 O 4
Answers
We know that every equation expressed in terms of x can be graph in an x-y plane, in this case the equation is
[tex]f(x)=x^3[/tex]if we want to move it up or down we add or substract the quantity of unities we are moving it. If we want to move it down two unities we substract 2 on the whole equation:
[tex]x^3\Rightarrow x^3-2[/tex]If we want to move it to the left or to the right we add or substract the quantity of unities we are moving it to the x term. If we add it means it is going to the left and if we substract it means it is going to the right. If we want to move it one unity to the right then we substract 1 from the x :
[tex]x^3\Rightarrow x^3-2\Rightarrow(x-1)^3-2[/tex]Then, the function:
[tex]g(x)=(x-1)^3-2[/tex]is the result of moving
f(x) = x³
1 unit to the right and 2 units down
Answer: 3Related Questions
19. There are 551 cars parked in an
airport parking garage. The first
level has 128 empty spaces. The
second level has 294 empty
spaces. The third level has
302 empty spaces. How many
spaces are in the parking garage?
Explain how you found your
answer.
Answers
1275 spaces are in the parking garage.
What is linear addition?
The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Two whole numbers added together result in another whole number. Two natural numbers added together will provide the original natural number once again. Two integers added together will result in an integer; two positive integers added together will result in a positive integer; two negative integers added together will result in a negative number; and one positive and one negative integer added together will result in an integer with the same sign as the largest number.
Given, total number of cars parked in garage = 551
Empty spaces available in first floor = 128
Empty spaces available in second floor = 294
Empty spaces available in third floor = 302
Therefore, total spaces in the parking garage = 551 + 128 + 294 + 302
= 1275
Thus, 1275 spaces are in the parking garage.
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The table below gives values of an invertible function f(x):
Answers
Part A
f(0)
that means the value of f(x) for x=0
looking at the table
For x=0 ----> f(x)=4
therefore
f(0)=4
Part B
f(x)=0
looking at the table
f(x)=0 when the value of x=1
therefore
f(1)=0
Part C
f^-1(0)
For f(x)=0 -----> the value of x=1
therefore
f^-1(0)=1
Part D
f^-1(x)=0
looking at the table
For x=0 -----> f(x)=4
therefore
f^-1(4)=0
Write a justification for each step.
16. 5x3 = 4(x + 2)
Answers
Answer:
1.75 = x
Step-by-step explanation: I'm not sure if you meant 5x3 or 5 times 3 so I did the one that made sense
5 x 3 = 4(x+2)
First step: distribute so 5 x 3 = 4x + 8
Second step: 5 x 3 = 15 15 = 4x+8
Third step: Subtract 8 from both sides 15 - 8 = 7 7 = 4x
Fourth step: Divide by 4 on both sides 7/4 = 1.75 1.75 = x
URGENT!! Help me find the value of Measure 3. I’m super confused
Answers
Answer:
68 degrees
Step-by-step explanation:
15x-23= 11x+13
4x= 36
x=9
9 on both sides, so plugin 9 to put in degrees form
180-112=68
So 68 degrees is the answer for angle 3
If r(x) = 2 – x2 and w(x) = x – 2, what is the range of (w circle r) (x)?
(negative infinity, 0 right-bracket
(negative infinity, 2 right-bracket
Left-bracket 0, infinity)
Left-bracket 2, infinity)
Answers
The range of the composite function (w o r)(x) is (a) (-oo, 0)
How to determine the range of the composite function?From the function, the definition of the functions are given as:
r(x) = 2 - x²
w(x) = x - 2
The composite function (w o r)(x) is calculated as
(w o r)(x) = w(r(x))
This means that:
(w o r)(x) = w(2 - x²)
So, we have
(w o r)(x) = 2 - x² - 2
Evaluate the like terms
This gives
(w o r)(x) = -x²
The above function is a quadratic function, and the range is all set of negative numbers
This can be represented as (-oo, 0)
Hence, the range is (-oo, 0)
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After observing location B,Dr.price returns to location A before descending to location C.
Answers
Dr. Price traveled a total of 1888.86 meters distance between Locations B and A and Locations A and C.
The mileage traveled overall is:
(Distance from B to A) + (Distance from A to C)
Location B = -1098.15
Location A = -895.9
Location C = -12784.75
Distance from B to A:
The distance in absolute terms between B and A
= -1098.15 - (895.9)
= -1098.15 + 895.9
= -202.26
= 202.26
Distance from A to C:
The distance in absolute terms between A and C
= -895.9 - (-2784.75)
= -1098.15 + 2784.75
= 1686.6
The total distance traveled is (202.26 + 1686.6) = 1888.86 meters
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help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answers
Answer:
s=/a
s=-/a,a>0
it inchs
Step-by-step explanation:
Please Help!
Will Give Brainliest :]
Answers
Applying precedence of operations, the missing expressions are given as follows:
a) Step 2: [tex]\left(\frac{8^2 + 2}{0.5}\right)[/tex] - 12.4/4.
b) Step 6: 132 - 3.1.
What is the precedence of operations?The precedence of operations is defined according to the PEMDAS acronym, with the meaning of each letter being given as follows:
P: Parenthesis.E: Exponents.M: Multiplication.D: Division. (same precedence as multiplication, hence it depends on which operation appears first).A: Addition.S: Subtraction. (same precedence as addition, hence it depends on which operation appears first).In Step 2, the absolute value operation is interpreted as a parenthesis, hence having a higher precedence over the exponent 8², then the expression is given by:
[tex]\left(\frac{8^2 + 2}{0.5}\right)[/tex] - 12.4/4.
In Step 6, the division of 12.4 by 4, with a result of 3.1, has a higher precedence than the subtraction, hence the expression is given as follows:
132 - 3.1.
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What is 157.8- (3^2+ 6) times 3
Please show your work
Answers
In linear equation,112.8 is the solution .
What is a linear equation example?
Ax+By=C is the usual form for two-variable linear equations.As an illustration, the conventional form of the linear equation 2x+3y=5 When an equation is given in this format, finding both intercepts is rather simple (x and y).A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.The variables in the previous sentence, y and x, are referred to as a "linear equation with two variables" at times.= 157.8 - ( 3² + 6) × 3
= 157.8 - ( 9 + 6) × 3
= 157.8 - 15 × 3
= 157.8 - 45
= 112.8
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Can someone help me with this
Answers
rude!we dont us such words here change it please
Clytie looked at her social studies test. She received a grade of 85%. If there were 33 questions on the test, how many did Clytie get right?
Answers
There were 33 questions on Clytie's test and she got a grade of 85%.
The number of right answers was:
[tex]\frac{85}{100}\cdot33[/tex]The result is approximately 28, thus:
Clytie got 28 answers right
work out the circumference of the circle below, Give your answer to 1 d.p 7.6m
Answers
The circumference of given circle with the radius of 7.6m is 119.43
What is circumference?A circle's circumference is its perimeter. It is the total length of the circle's circumference. The circumference of a circle is equal to the product of the constant and the circle's diameter. This metric of the circumference of a circle is required for a person walking across a circular park or a circular table to be bordered.
Circumference is a linear value with the same units as length. A circle is a closed round figure whose boundary points are all equidistant from a fixed point known as the center. The area and circumference of a circle are the two most important metrics of a circle.
The formula for the circumference of a circle is
C = 2πr
We have given that radius = 7.6m
So, the circumference is
C = 2π(7.6)
= 38π
= 119. 43
Thus, circumference is 119.43
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The sum of one-fourth of a number and twelve is twelve less
than the number. What is the number?
Answers
Tickets to a baseball game cost $3 for a child’s ticket and $5 for an adult ticket. At the last game, $521 was collected when 139 people attended the game. Which value could replace x in the table so that a single-variable equation can be written and solved to determine the number of child’s tickets, c, sold?
Answers
Answer: x = 139-c is used to replace and there are 87 child's ticket.
Step-by-step explanation:
Let the number of child's ticket be 'c'.
Total number of people attended the game = 169
Let the number of adult's ticket be 'x'.
Cost of each child's ticket = $3.
Cost of each adult ticket = $5.
Total amount collected = $521
So, According to question, it must be look like this :
3c+5x=$521
Here, we need to replace x , so that a single variable equation can be written and solved to determine the number of child's tickets sold.
x+c=139
x=139-c
So, our single variable equation becomes
3c+5(139-c)=$521
3c+695-5c=521
-2c=521-695
-2c=-174
Hence, x = 139-c is used to replace and there are 87 child's ticket.
This is the correct answer to this question.
C. 139 – c
your friends are planning a party for their parents anniversary. The caterer charges a delivery fee of $100 plus an additional $35.75 per person. if they can spend no more than $530, how many people can they invite? remember you cannot serve a partial person.
Answers
Answer:
3815699985588888548555006
At Marilyn's candy shop, she mixes gummy bears worth 50¢ a pound with chocolate kisses worth 30¢ a pound to create a 97 pound mixture worth 35€. To the nearest pound, how much of each type of candy is in the mixture?
Answers
Data:
Gummy bears: G
Chocolate kisses: C
G=50 ¢ a pound
C=30 ¢ a pound
97 pound mixture:
[tex]G+C=97[/tex]mixture worth € 35 (3500 ¢ ):
[tex]50G+30C=3500[/tex]To find how much of each type of candy is in the mixture you use the next system of equations:
[tex]\begin{gathered} G+C=97 \\ 50G+30C=3500 \end{gathered}[/tex]1. Solve one of the variables in one of the equations:
Solve G in the first equation:
[tex]G=97-C[/tex]2. Use the value you find in the fisr part in the other equation:
[tex]50(97-C)+30C=3500[/tex]3. Solve the variable:
- Distributive property to remove the parenthesis:
[tex]4850-50C+30C=3500[/tex]-Combine like terms:
[tex]4850-20C=3500[/tex]-Substract 4850 in both sides of the equation:
[tex]\begin{gathered} 4850-4850-20C=3500-4850 \\ \\ -20C=-1350 \end{gathered}[/tex]-Divide into -20 both sides of the equation:
[tex]\begin{gathered} \frac{-20}{-20}C=\frac{-1350}{-20} \\ \\ C=67.5 \end{gathered}[/tex]4. Use the value in part 3 to find the value of the other variable:
[tex]\begin{gathered} G=97-C \\ G=97-67.5 \\ \\ G=29.5 \end{gathered}[/tex]Then, the mixture has 29.5 pounds of gummy bears and 67.5 pounds of chocolate kissesdue now also can you show me how you graphed it like just send a picture of the graph or something
Answers
The function in option number C is a linear function.
Here, we are given 4 functions. Let us check them one by one to see if they are linear or not-
A. In this function, if x = 0, y =11
if x = 1, y = 7
Thus, if x increases by 1, y increases by 4.
but now if we see when x = 2, y = 5 which is not an increase of 4.
Thus, the given function is not linear.
B. In this function, if x = 0, y = 0
if x = 1, y = 0
Thus, if x increases by 1, y increases by 0.
but now if we see when x = 2, y = -1 which is not an increase of 0.
Thus, the given function is not linear.
C. In this function, if x = 0, y = 6
if x = 1, y = 12
Thus, if x increases by 1, y increases by 6.
when x = 2, y = 18 which is an increase of 6.
similarly, when x = 3, y = 24 which is an increase of 6.
Thus, the given function is linear.
Hence function in option number C is a linear function.
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What’s the answer plsss
Answers
The angle of inclination of the line to the nearest tenth of a degree is 25.4°.
So, the correct option is Option(c).
What is the Angle of Inclination?A line's angle inclination is the angle created by the line's intersection with the x-axis. Using a horizontal "run" of 1 and m for slope, the angle of inclination, theta = tan⁻¹(m), or m = tan⁻¹(m), may be calculated.
Given:
The length of the sides of the given triangle are,
Base = 9.7
Perpendicular = 4.6
So, Angle of Inclination = tan θ = Perpendicular/Base
θ = tan⁻¹(4.6/9.7)
θ ≅ 25.4°
Therefore, the angle of inclination of the line to the nearest tenth of a degree is 25.4°.
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49 A numbered cube is rolled once. The cube is numbered from 1 through 6.
What is the probability that a 1 or 6 will be facing upward? Mark all that apply.
06
D
P
0
Answers
Answer:
Step-by-step explanation:
the answer would be A because it can be 1 or 6 so if 1/6 means just one number then 2 numbers would 2/6
Classify each linear equation.
No Solution
:: 3x = 3(x + 3)
:: -2(x + 3) = -2x - 6
Infinitely Many Solutions
:: 2x + 2 = 2(x + 1)
::5(X + 1) = 5x +1
Answers
A linear equation is a mathematical expression that may be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are the variables and display style b, a 1, ldots, and a n are the coefficients, which are frequently real integers.
What in mathematics is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and which includes only a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is referred to as a "linear equation of two variables" on occasion.A linear equation is a mathematical expression that can be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are variables and b, a 1, ldots, and a n are coefficients, which are frequently real integers.To learn more about Linear equation refer to:
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Sara has twice as many records as Jenny. Together they have 78 records. How many records does each have?
Answers
Answer:
Sara has 39 and Jenny has 19.5
Step-by-step explanation:
Is my friend correct or incorrect
Answers
Answer:
incorrect
Step-by-step explanation:
Answer: No, he's incorrect
Step-by-step explanation:
Generally you only move the symbol to face the other side when in the case of multiplying both sides by (-1). The correct solution hence would be, x > -27
For which inequality would x = 5.8 not be a solution?
x-9<0
5 x-14>3
x+6 ≤ 10
6-x≤1
Answers
Answer:
137995357864688756864687_57
4 1/2 + 3 5/6 in a fraction
Answers
Answer:
8 1/3
Step-by-step explanation:
4 1/2 + 3 5/6
First, we must convert the fraction to a common denominator.
1/2 = 3/6
4 3/6 + 3 5/6
3/6 + 5/6 = 8/6 = 1 2/6 = 1 1/3
1 1/3 + 4 + 3 = 8 1/3
The answer is 8 1/3.
Answer: 8 1/3
Step-by-step explanation:
4 1/2 + 3 5/6
So what we do is we make them have the same denominator
1/2 = 3/6
Now... 3/6 + 5/6 = 8/6
8/6 will have to be converted into a mixed number so...
that will be 1 2/6
now we add the two whole numbers 4 and 3 which is 7
7+1=8
8 + 2/6 = 8 2/6
now simplify that and you get 8 1/3
which expression is not equivalent too 24 + 12
1. 2 (12+ 6 )
2. 6 (4+2)
3. 4 (6+ 4)
4. 3 ( 8+ 4 )
Answers
Answer:
3
Step-by-step explanation:
Because Math is math and math
What is 7 to the power of two?
Answers
Hope this helps
The sum of two numbers is 5. Three times the first is thirteen more than ten times the second. Find the numbers
Answers
The two numbers with the sum of 5 are 0 and 5
How to determine the two numbers?The sum of the numbers is given as
Sum = 5
The relationship between the numbers is given as
Three times the first is thirteen more than ten times the second.
This can be rewritten as
3x = 15 + 10y
Where x and y represent the numbers
This means that
x + y = 5
Make x the subject
x = 5 - y
Substitute x = 5 - y in 3x = 15 + 10y
3(5 - y) = 15 + 10y
Expand
15 - 3y = 15 + 10y
Evaluate the like terms
13y = 0
This gives
y = 0
Substitute y = 0 in x =5 - y
x = 5 - 0
Evaluate
x = 5
Hence, the numbers are 0 and 5
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layla has 2 pairs of shoes and 6 pairs of socks. if each pair of socks and each pair of shoes is equally like to be chosen, which is the best simulation to show the probability of choosing any given combination?
Answers
The probability of best simulations to choose one pair of shoes from two and one pair of socks from six can be to flip a coin and roll a die, respectively.
The total number of shoe pairs = 2
The number of pairs that need to be chosen from the total = 1
That is, the probability of choosing one pair out of 2 = 1 ÷ 2 = 0.5
The best simulation for 0.5 probability is flipping a coin, as it has the same probability ratio and has 2 sides to choose from.
The total number of sock pairs = 6
The number of pairs that need to be chosen from the total = is 6
That is, the probability of choosing one pair out of 6 = 1 ÷ 6
The best simulation for 1 ÷ 6 probability is rolling a die, as it has the same probability ratio and has 6 sides to choose from.
Hence, the best simulations are flipping a coin and rolling a die in the given case.
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the life of an electric component has an exponential distribution with a mean of 10 years. what is the probability that a randomly selected one such component has a life more than 7 years?
Answers
The probability is 0.4647.
What is probability?Probability is the branch of mathematics that deals with numerical descriptions of the likelihood of an event occurring or the likelihood of a statement being true.The probability of an event is a number between 0 and 1, with approximately 0 indicating the improbability of the event and 1 indicating certainty. The higher the probability of an event, the more likely the event will occur. A simple example is tossing a fair coin. Both outcomes are equally likely because the coin is fair. The probability of heads or tails is 1/2. These concepts are an axiomatic mathematical formalization of probability theory that is widely used in research fields such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy. Infer the expected frequency from the event. Probability theory is also used to explain the underlying dynamics and laws of complex systems.To learn more about probability from the given link :
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Yoko says that when you divide 75 by 5, the answer is 15. How can you check her answer? is she correct?
Answers
Two methods...
1How can we divide easily by 5?
We know
[tex]5=\frac{10}{2}[/tex]Then
[tex]\frac{75}{5}=\frac{75}{\frac{10}{2}}=\frac{75\cdot2}{10}=\frac{150}{10}=15[/tex]2The common method
