Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1
4. Sketch the graph of F(x) = 1 +x/x²-1
The graph of the function is attached below.
What is the graph of a function?The graph of a function shows the correlation between its inputs (represented by x-values) and matching outputs (represented by y-values). It is a means of illustrating the actions and traits of a function.
Plotting points that conform to the function's rule in a cartesian coordinate system results in the graph of the function. An input-output pair for the function is represented by each point on the graph. The point's x-coordinate represents the input value, while its y-coordinate represents the output value.
We can further use the graph to determine the range, domain, y-intercept, x-intercept and so many others from a graph.
In the given problem;
The graph of the function f(x) = 1 + x / x² - 1 is attached below;
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Multiply (-4)(-2)(-5)
Answer:
-40
Step-by-step explanation:
So what this question is basically saying is that you have to multiply -4 by -2 first to get 8 and then you multiply that by -5 hence getting the answer of -40
Congruent Triangles ?
Check the picture below.
well, it's noteworthy to say that when dropping a perpendicular line from a right angle in a right triangleto the hypotenuse, we'd end up with 3 similar triangles, a Large a Medium and a Small one, all three similar.
3a)
is the Small similar to the Large one? well, let's notice, they both have a 90° angle and also they share the purple one, similar triangles by AA.
3b)
are the Medium and the Large one similar? well, let's notice, just like before, they both have a 90° and they also share the green one, similarity by AA.
3c)
are the Small and Medium similar?
if Large ~ Medium
and
Large ~ Small
then
Medium ~ Small.
Students performed in a play on a Friday and a Saturday. For both performances. adult tickets cost a dollars each and student tickets costs dollars each. On Friday, they sold 125 adult tickets and 65 student tickets, and collected $1.200. On Saturdas, they sold 140 adult tickets and 50 student tickets, and collect $1,230. Write a system of equations to represent this relationship.
The system of equations is
125a + 65s = 1200
140a + 50s = 1230
What is an equation?
An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.
125a + 65s = 1200
140a + 50s = 1230
-3500a - 1820s = -33600
3500a + 1250s = 30750
-570s = -2850
s = $5
student
125a + 65(5) = 1200
125a + 325 = 1200
125a = 875
a = $7 adult
the other situation means that they didn't do it right at all
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Your friend Brianna is considering getting a credit card. She is going to use the credit card to help build her credit. The credit card she is considering has an APR of 24.99%. It also has a yearly fee of $150.00, but it does offer 1% cash back on most purchases. She asks you for your advice. Use CER to answer the question: Should Brianna get the credit card?
Based on this evidence and reasoning, it is reasonable to conclude that Brianna should get the credit card, as long as she uses it responsibly and pays off her balance in full every month to avoid paying interest charges.
What is percent?Percent, denoted by the symbol "%", is a way of expressing a fraction or ratio as a portion of 100. It is commonly used in everyday life to express a part of a whole or to compare quantities. Percentages can be used in various contexts, such as in finance to calculate interest rates, in statistics to represent data, and in everyday life to express discounts, tax rates, and tips. It is important to understand percentages to make informed decisions and to effectively communicate information.
Here,
CER stands for Claim, Evidence, and Reasoning, which is a framework for presenting a persuasive argument. Using this framework, we can evaluate whether Brianna should get the credit card in question:
Claim: Brianna should get the credit card.
Evidence:
The credit card has an APR of 24.99%, which is high compared to other credit cards.
The credit card has a yearly fee of $150.00.
The credit card offers 1% cash back on most purchases.
Reasoning:
While the APR and yearly fee are high, Brianna can still benefit from using the credit card to build her credit.
The 1% cash back on most purchases can help offset the cost of the yearly fee and the interest charges if she pays off her balance in full every month.
By using the credit card, such as making payments on time and not carrying a high balance, Brianna can establish a positive credit history, which can help her in the future when she wants to apply for loans or other credit cards.
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Which expression has a negative value?
2 + 12
(negative 3) (negative 8)
10 minus (negative 18)
Negative 35 divided by 5
Negative 35 divided by 5
Step-by-step explanation:Have a good day :)
Four cards cost £12. How much will five cards cost
Answer:
it would cost £15
Step-by-step explanation:
12 ÷ 4 = 3
3 × 5 = 15
tile the following grids using every tetromino exactly once. the x in (c) denotes an absence of an available square in the grid. if a tiling is not possible, explain why.
(a) This grid can be tiled with the following arrangement of tetrominos:
(b) This grid can be tiled with the following arrangement of tetrominos:
(c) This grid cannot be tiled because the x denotes an absence of an available square, and thus it is impossible to fit all the tetrominos into the grid.
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Please solve this with clear steps!!!!! 20 POINTS
The width of the river using the similar triangle is 43.3 metres.
How to find the width of the river?The surveyor wants to determine the width of the river . Let's use the pair of similar triangle to find the width of the river.
Therefore, two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion.
Hence, let's find the width of the river.
Therefore,
18.6 / 34.2 = AB / 79.6
cross multiply
18.6 × 79.6 = 34.2 AB
34.2 AB = 1480.56
divide both sides of the equation by 34.2
AB = 1480.56 / 34.2
AB = 43.2912280702
AB = 43.3 metres
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Help with number 4 please
48 boards
Step-by-step explanation:
length of a board = 5½ in = 11/2
Total length should be covered = 22 ft = 264 in (1ft = 12in)
total boards needed = 264 ÷11/2
= 264 × 2/11
= 24 ×2
= 48 boards
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21.
The table below shows some values of a function
x f(x)
0 -24
1 -13
2 -4
3 3
4 8
5 11
6 12
7 11
8 8
9 3
Which of the following BEST shows the values in the domain when the function is increasing?
A. between 0 and 6
B. between 3 and 9
C. between 3 and 6
D. between 6 and 9
Answer:
ok
Step-by-step explanation:
Answer:
B. between 3 and 9
A printer can print 12 pages in 9 seconds. What is the closet estimate of the number of pages it can print in one minute
Elimination
3x-y=-1 and -3x-y=5
The equation 3x - y = - 1; - 3x - y = 5 when solved using the elimination method is x = -1 and y = -2 respectively.
How to solve simultaneous equation using elimination method?3x - y = - 1
- 3x - y = 5
Subtract the equation to eliminate y
3x - (-3x) = - 1 - 5
3x + 3x = - 6
6x = - 6
divide both sides by 6
x = -6 / 6
x = -1
Substitute x = -1 into
3x - y = - 1
3(-1) - y = -1
-3 - y = - 1
- y = - 1 + 3
-y = 2
y = -2
Therefore, the solution to the simultaneous equation is (x, y) = (-1, -2)
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In the right triangle shown in the diagram below, what is the value of x to the nearest whole number?
Answer:
\(x=21\)
Step-by-step explanation:
See attachment for triangle
The relationship between length x, length 24 and angle 30 is as follows:
\(\cos(\theta) = \frac{Adjacent}{Hypotenuse}\)
In this question;
\(Adjacent = x\)
\(Hypotenuse= 24\)
\(\theta = 30\)
Substitute these values in the above expression,
\(\cos(30) = \frac{x}{24}\)
Multiply through by 24
\(24 * \cos(30) = \frac{x}{24} * 24\)
\(24 * \cos(30) = x\)
Reorder:
\(x = 24 * \cos(30)\)
\(x = 24 * 0.8660\)
\(x = 20.784\)
\(x=21\) --- approximated
Michael was working on finding the better buy for granola bars: 8 bars for $10 or 20 bars for $23. Which is the better buy if you were buying 40 bars?
Answer:
20 bars for $23
Step-by-step explanation:
8 bars for $10 you have to multiply 8 by 5 to get 40 so multiply $10 by 5 and you get $50
20 bars for $23 you have to multiply 20 by 2 and you get 40, so multiply $23 by 2 and you get $46 dollars there for 20 for $23 dollars is the better buy
:)
In a large population, 69 % of the people have been vaccinated. If 3 people are randomly selected, what is the probability that AT LEAST ONE of them has been vaccinated?
Give your answer as a decimal (to at least 3 places) or fraction.
The required probability is 0.970 (approx.) or 97/100 (in fraction).
Given that 69% of people in a large population have been vaccinated. We are required to determine the probability of at least one person being vaccinated if three people are randomly selected. Let's solve it using the complement rule.
The complement rule states that the probability of an event occurring is equal to 1 minus the probability of that event not occurring. That is, if A is an event, then P(A) = 1 - P(A').
We can solve the given problem using the complement rule as follows: Let P(A) be the probability of at least one person being vaccinated.
Then, the probability of no one being vaccinated is P(A') = (100 - 69) = 31%.
To find the probability of at least one person being vaccinated, we can subtract the probability of none of them being vaccinated from 1. That is, P(A) = 1 - P(A') = 1 - 0.31 × 0.31 × 0.31 = 1 - 0.029791 = 0.97021.
Hence, the probability of at least one person being vaccinated if three people are randomly selected is 0.97021 (rounded to 3 decimal places).
Therefore, the required probability is 0.970 (approx.) or 97/100 (in fraction).
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The answer to – 7x + y = -10
Step-by-step explanation:
y=7x-10
Answer:
\(\huge \boxed{y=7x-10}\)
Step-by-step explanation:
\(-7x+y=-10\)
\(\sf Add \ 7x \ on \ both \ sides.\)
\(-7x+y+7x=-10+7x\)
\(y=7x-10\)
fill in the mission numbers to make the fractions equivalent. 1/2 and /8= 4/12 and /60= 2/3 and /12= 4/4 and /8=
To make the fractions equivalent, we need to find the missing numerators that would make them equal. Let's fill in the missing numerators:
1/2 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
1/2 and 4/8
Now, the fractions are equivalent.
---
4/12 and __/60
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 5:
4/12 and 20/60
Now, the fractions are equivalent.
---
2/3 and __/12
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 4:
2/3 and 8/12
Now, the fractions are equivalent.
---
4/4 and __/8
To make the fractions equivalent, we can multiply both the numerator and denominator of the first fraction by 2:
4/4 and 8/8
Now, the fractions are equivalent.
Find the unit rate (constant of proportionality) of the distance traveled.
Number of hours
0.25 1.5 2.5 3
Distance traveled (km) 3 18 30 36
Answer:
12.
Step-by-step explanation:
if to re-write the given condition, then
\(\frac{3}{0.25} =\frac{18}{1.5} =\frac{30}{2.5} =\frac{36}{3} ;\)
it is clear, the required constant is 12 (12 per hour).
Kevin and Randy Muise have a jar containing 34 coins, all of which are either quarters or
nickels. The total value of the coins in the jar is $5.30. How many of each type of coin do
they have?
Answer:
20 quarters quarters 14 nickles
At his new job, Manuel expects to make about $37,850 per year. He is paid bi-weekly. 15% of his gross pay will be withheld for federal income tax; 4% for state income tax and 7.65% for Social Security and Medicare taxes. Calculate his net pay
Manuel earns $37,850 per year. Since he is paid bi-weekly (once in two weeks) and a year has 52 weeks, his gross payment is:
\(\frac{37850}{26}=1455.77\)Now, let's add the percentages of each tax:
\(15\text{\%}+4\text{\%}+7.65\text{\%}=26.65\text{\%}\)Calculating this percentage of his gross payment, we have:
\(1455.77\cdot\frac{26.65}{100}=387.96\)Finally, to find his net pay, let's subtract the taxes from the gross payment:
\(1455.77-387.96=1067.81\)His net payment is $1067.81
A manufacturer of rectangular tarpaulins uses the
following combined function to calculate the total area of
different sizes of tarpaulins, where x varies according to
the particular product line.
h(x) = x2 + 10x + 21
Answer:
f(x) = x + 7 and g(x) = x + 3
Step-by-step explanation:
Working together, Bill and Tom painted a fence in 8 hours. Last year, Tom painted the fence by himself. The year before, Bill painted it by himself, but took 12 hours less than Tom took. How long did Bill and Tom take, when each was painting alone?
Answer:
Tom paints the fence in 24 hours and Bill paints the fence in 12
Step-by-step explanation:
T = 1 fence / x hours
B = 1 fence / x - 12 hours
B + T = 1 fence / 8 hours
( 1 fence / x - 12 hours ) + ( 1 fence / x hours ) = 1 fence / 8 hours
( 1 / x - 12 ) + ( 1 / x ) = 1 / 8
multiply through all the denominators to get:
8x + 8 (x - 12 ) = x( x - 12 )
8x + 8x - 96 = x^2 - 12x
combine like terms to get:
x^2 - 28x + 96 = 0
factor to get:
( x - 4 ) ( x - 24 ) = 0
x = 4, 24
4 won't work, because that would mean Bill would take a negative amount of time to paint the fence by himself, so that means
Tom paints the fence in 24 hours and Bill paints the fence in 12
bboed.schoology.com/common-assessment-delivery/start/4855368165?action onresume submissionid=495621199
POSSIBLE POINTS 10
H
4x+2/78°
L
K
WHAT IS X FROM THE EQUATION 4X+2 25
WHAT DEGREES IS LKH WRITE OUT THE WORD
O
Us 18
Answer:
fefsefefdfefd
Step-by-step explanation:
efSdfse
shipment of 7 television sets contain 2 defective sets. a hotel makes a random purchase of 3 of the sets. if x is the number of defective sets purchased by the hotel, find the probability distribution of x
The probability of the hotel purchasing no defective sets is 2/7, the probability of purchasing 1 defective set is 4/7, and the probability of purchasing 2 defective sets is 1/7.
To find the probability distribution of x, we need to consider all possible combinations of 3 sets that the hotel can purchase from the shipment of 7 sets.
The total number of ways to choose 3 sets from 7 is given by the binomial coefficient C(7, 3) = 35.
Now, let's consider the different possible values of x.
If the hotel purchases 0 defective sets, then it must choose 3 sets from the 5 non-defective sets, which can be done in C(5, 3) = 10 ways. The probability of this occurring is:
P(x=0) = C(2, 0) * C(5, 3) / C(7, 3) = 10/35 = 2/7
If the hotel purchases 1 defective set, then it must choose 2 non-defective sets and 1 defective set, which can be done in C(2, 1) * C(5, 2) = 20 ways. The probability of this occurring is:
P(x=1) = C(2, 1) * C(5, 2) / C(7, 3) = 20/35 = 4/7
If the hotel purchases 2 defective sets, then it must choose 1 non-defective set and 2 defective sets, which can be done in C(2, 2) * C(5, 1) = 5 ways. The probability of this occurring is:
P(x=2) = C(2, 2) * C(5, 1) / C(7, 3) = 5/35 = 1/7
Therefore, the probability distribution of x is:
x | 0 | 1 | 2
P(x) | 2/7 | 4/7 | 1/7
Note that the sum of these probabilities is 1, as it should be for a probability distribution.
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A hat contains 35 marbles. Of them, 20 are red and 15 are green. If one marble is randomly selected out of this hat, what is the probability that this marble is red? Round your answer to two decimal places. P(A) =
Answer:
P(A) = 0.57 (rounded to two decimal places).
Step-by-step explanation:
The probability of selecting a red marble from the hat can be found by dividing the number of red marbles by the total number of marbles:
P(red) = number of red marbles / total number of marbles
P(red) = 20/35
We can simplify this fraction by dividing both the numerator and denominator by 5:
P(red) = 4/7
So the probability of selecting a red marble from the hat is 4/7, or approximately 0.57 when rounded to two decimal places.
Therefore, P(A) = 0.57 (rounded to two decimal places).
Please help! THank you!
Answer:
the slope is positive
Step-by-step explanation:
the numbers on the g(x) is going up so its positive
Phillip writes the following equation to show how many hours h he needs to work to earn $108 at $12 per hour: h12=108. Is his equation correct? Explain.
Answer:
Yes
Step-by-step explanation:
He is correct because h which is how many hours he needs to work times $12 will give you $108 which is the total cost.
PLEASE HELP 100 POINTS PLEASE HELP 100 POINTS The ratio between the number of students (s) on a field trip and the number of teachers (t) on the field trip is 21/4. There are 84 students going on a field trip. How many teachers must go?
Answer:
16 teachers.
Step-by-step explanation:
84 / 21 = 4
4 * 4 = 16
Hope this helped. Please give brainly if its the best!
Answer:
\( \huge \colorbox{blue}{16 students}\)
Step-by-step explanation:
we are given the ratio of students and teachers:
\( \displaystyle \: \frac{21}{4} \)
which means if the number of students is 21 then the number of teachers should be 4
to find how many teachers should go if students 84 we have to divide 84 by \(21/4\) :
\( \displaystyle \: 84 \div \frac{21}{4} \)
simplify division:
\( = \displaystyle \: 84 \times \frac{4}{21} \)
simplify multiplication:
\( = \displaystyle \: \cancel{ 84} \: ^{4} \times \frac{4}{ \cancel{21}} \\ = 4 \times 4 \\ = 16 \)