An input value that would produce the same output value for the first functions on the graph is 0. Also, an input value that would produce the same output value for the second functions on the graph is 3.
How to determine the correct input value?In this exercise, you are required to determine the input value that would produce the same output value for the two functions on the graph. This ultimately implies that, the two functions would be equated as shown below.
From the information provided above, the two functions include the following:
f(x) = -2/3(x + 1)
g(x) = 1/3(x - 2)
Equating the two equations, we have:
f(x) = g(x)
-2/3(x + 1) = 1/3(x - 2)
-2x/3 -2/3 = x/3 - 2/3
-2x/3 - x/3 = - 2/3 + 2/3
x = 0.
For the second function on the graph, the coordinates are as follows:
f(x) = (-3, 3), (0, 1), (3, -1)
g(x) = (-3, -3), (0, -2), (3, -1)
Therefore, the above function produces the same input value (x) at point 3.
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Answer:
D
Step-by-step explanation:
edge 23
Given the following figure is a parallelogram, solve for x.
The given figure is a parallelogram. The opposite angles of a parallelogram are congruent.
From the information given,
angle E and angle G are opposite
Thus,
94 = 11x + 6
11x = 94 - 6 = 88
x = 88/11
x = 8
Question 2 of 15 Greece is different from most other countries in southern Europe because: A. its land has never been conquered by foreign empires. B. its most popular religion is not Catholicism. C. its culture has not spread to other regions. D. its population is mostly located in rural areas.
Greece is different from most other countries in southern Europe because its most popular religion is not Catholicism. Option B
What is Catholicism?Catholicism refers to the traditions, beliefs, and behaviors of the Catholic Church
Greece is predominantly an Orthodox Christian country, whereas most other countries in southern Europe, such as Italy, Spain, and Portugal, are predominantly Catholic.
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If the minute hand of a clock rotates 6 degrees every minute. Determine how minutes does it take to rotate 2160
degrees. (1 point)
Ot=360
Ot= 340
Ot=180
Ot = 2160
Answer:
Yo wassup. To your question it will be 360 degrees.
Step-by-step explanation:
Now bro can you mark as brainlest?
PLEASE HELP AND DO NOT SEND A LINK IF YOU DO YOU WILL BE REPORTED
I need help with these problems I'm hella confused about them, I'm not sure if what I put was correct please help me and show explanations
Answer:
Answer 3\( \to 5 \times \dfrac{3}{4} \\ \\ \to \dfrac{5 \times 3}{4} \\ \\ \to \dfrac{15}{4} \\ \\ \to \pmb{ 3 \dfrac{3}{4}}\)
Answer 4 :\( \to 2 \times 1 \dfrac{1}{2} \\ \\ \to 2 \times\dfrac{3}{2} \\ \\ \to \dfrac{2 \times 3}{2} \\ \\ \to \dfrac{6}{2} \\ \\ \to \pmb{3}\)
Help me please, it’s a Pythagorean identity problem
Answer:
its geomotry tryyyy
Step-by-step explanation:
try
A book maintained to record of all transactions that affect your checking account. Listed in the book are funds deposited, checks written, ATM transactions and fees charged. *
A. Check Register
B. Credit Card Statement
C. Bank Reconciliation
D. None of the above
Answer:
The Answer is B
Step-by-step explanation:
It can't be the other ones
What is the y-intercept of the following graph?a. (0, 1)b. (1,0)c. (0,-3)d. (-3,0)
ANSWER
a. (0, 1)
EXPLANATION
The y intercept of a graph is the point where the graph touches the y axis.
It can be found on graph by locating the point on the graph where x = 0 on the graph.
From the given graph, x is equal to 0 when y is 1.
This means that the y intercept is:
(0, 1)
That is the y intercept.
A bag contains 7 green marbles, 2 white marbles, 5 orange marbles, 9 green marbles, and 7 red marbles. A marble will be drawn from the bag and replaced 180 times. What is a reasonable prediction for the number of times a white or red marble will be drawn? Answer A 15 B 54 C 57 D 63
A Reasonable prediction for the number of times a white or red marble will be drawn is 3/10 x 180 = 54. Thus, option b is correct
If a marble is drawn and not replaced, what is the probability of drawing an orange marble on the second draw?If a marble is drawn and not replaced, the probability of drawing an orange marble on the second draw depends on the color of the marble drawn on the first draw. If an orange marble was drawn on the first draw, then there will be one less orange marble in the bag, and the probability of drawing another orange marble on the second draw will be 4 out of the remaining 29 marbles. If a non-orange marble was drawn on the first draw, then there will be 5 orange marbles in the bag, and the probability of drawing an orange marble on the second draw will be 5 out of 29.
There are a total of 30 marbles in the bag.
The probability of drawing a white or red marble is
2/30 + 7/30
= 9/30
= 3/10.
Therefore, a reasonable prediction for the number of times a white or red marble will be drawn is 3/10 x 180 = 54. Answer B.
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34 − 23⋅ (5 − 2) − 60
Answer:
-95
Step-by-step explanation:
Follow order of operations,
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Make sure to do them left to right
On his third math quiz of the semester, Cooper answered 28 questions correctly and got 7 wrong. What is the ratio of the number of questions he got right on the quiz to the total number of questions?
Step-by-step explanation:
Given that Cooper answered 28 questions correctly and 7 incorrect answers, If the total number of questions is x,
let total number of questions be X,therefore X = 28+7
= 35
ratio of right answered questions to the total questions, R isR =
\( \frac{28}{35} \)
=
\( \frac{4}{5} \)
therefore, the ratio is 4:5
Amos bought 5 cantaloupes for $8. How many cantaloupes can he buy for $24?
5 times the sum of x and 3
You've decided to give your best friend a
bag of marbles for his birthday.
Since you know that your friend likes
green marbles better than red ones, the
bag has twice as many green marbles as
red.
The label on the bag says it contains a
total of 84 marbles.
How many green marbles are in the bag?
Number of green marbles in the bag is equals to \(56.\)
What is number?
" Number is defined as the count of any given quantity as per condition."
According to the question,
Given,
Total number of marbles \(= 84\)
\('x'\) represents the number of red marbles
As per given condition,
\('2x'\) represents the number of green marbles
Required equation we have,
\(x + 2x = 84\\\\\implies 3x =84\\\\\implies x = \frac{84}{3} \\\\\implies x = 28\)
Substitute the value of \('x'\) to get number of green marbles ,
Number of green marbles \(2x = 2\times 28\)
\(= 56\)
Hence, number of green marbles in the bag is equals to \(56.\)
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Large Home Improvement Store: Total remodeling cost $13,200. Financing through the bank servicing the national home improvement company: 1 year 0% financing with a minimum monthly payment of $100; 16.99% APR for the remaining 3 years
Local Small Business Home Improvement Company: Total remodeling cost 11,800. Financing through her local credit union: 3% origination fee to be paid first then 7.5% APR for 5 years
Online Construction Business: Total remodeling costs $10,200. Financing through an online banking service: $1,000 applied toward the project before payback begins then 11.9% APR for 4 years.
Calculate the monthly payments for 2 of these options given that interest is compounded monthly.
What is the total amount that must be paid for each of the 2 options you chose?
In the 2 options you chose, what percentage of the total amounts to be paid back to each financial institution is interest?
How would you explain to Ramona the differences between these percentages and their corresponding APR’s?
Based on the financial outcomes for the 2 options you chose, which company would you suggest that Ramona choose to remodel her kitchen? Defend your suggestion.
1. The monthly payments for 2 of these options are:
Local Small Business Home Improvement Company is $236.45Online Construction Business is $294.39.2. The total payments for 2 of these options are:
Local Small Business Home Improvement Company is $14,540.87.Online Construction Business is $14,130.69.3. The percentage of the total amounts to be paid back as interest is:
Local Small Business Home Improvement Company is 16.41%.Online Construction Business is 20.74%.4. The percentages above represent the accumulated interests of the total payments.
The APR (annual percentage interest) represents the yearly financing cost of the financing institution for extending credit.
5. Ramona should choose the Online Construction Business to remodel her kitchen because the total cost she will incur is less than the total cost for the Local Small Business Home Improvement Company.
Large Home Improvement Store:Home improvement cost = $13,200
Financing:
Year 1 0% monthly payment of $100 = $1,200
Balance after Year 1 = $12,000
APR 16.99%
Remaining payment period = 3 years
N (# of periods) = 36 months
I/Y (Interest per year) = 16.99%
PV (Present Value) = $12,000
FV (Future Value) = $0
Results:
PMT = $427.77
Sum of all periodic payments = $15,399.83
Total Interest = $3,399.83
Total costs = $16,599.83 ($15,399.83 + $1,200)
Local Small Business Home Improvement Company:Home improvement cost = $11,800
Financing:
3% origination fee = $354 ($11,800 x 3%)
APR = 7.5%
Payment period = 5 years
N (# of periods) = 60 months (5 years x 12)
I/Y (Interest per year) = 7.5%
PV (Present Value) = $11,800
FV (Future Value) = $0
Results:
PMT = $236.45
Sum of all periodic payments = $14,186.87
Total Interest = $2,386.87
Total costs = $14,540.87 ($14,186.87 + $354)
Interest as a percentage of the total payment = 16.41% ($2,386.87/$14,540.87 x 100)
Online Construction Business:Home improvement cost = $10,200
Additional applied amount = $1,000
Total = $11,200
APR = 11.9%
Payment period = 4 years
N (# of periods) = 48 months (4 years x 12)
I/Y (Interest per year) = 11.9%
PV (Present Value) = $11,200
FV (Future Value) = $0
Results:
PMT = $294.39
Sum of all periodic payments = $14,130.69
Total Interest = $2,930.69
Total cost = $14,130.69
Interest as a percentage of the total payment = 20.74% ($2,930.69/$14,130.69 x 100)
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identify the x-values for which f(x)>-2
It should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
How to explain the information?It should be noted that a graph is a diagram that is used to show the relationship that exists between the data presented or the information.
In this case, ut should be noted that the expression that can be used to identify the x-values for which f(x)>-2 will be -2 <= x <= 2. This is illustrated in the graph.
The graph is attached below.
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Need help on this question pls help!!!!!!!
Find the slant height of the pyramid.
7 mm
6 mm
8 mm
5 mm
Answer:
5 mm
Step-by-step explanation:
Given:
A rectangular pyramid
h (height) = 4 mm
l (side length) = 6 mm
Find: s (slant height) - ?
There is a right triangle in the middle
The bottom leg is 3 mm, because it's half the side length of the square
According to that, we can find x by using the Pythagorean theorem:
\( {x}^{2} = {3}^{2} + {4}^{2} = 9 + 16 = 25\)
\(x > 0\)
\(x = \sqrt{25} = 5\)
pls help meeee plsssss
Consider lines AB and CD are interesting lines,
they intersect at the point E.
/ AED and / BEC are vertically opposite angles
/ AED~/ BEC as vertically opposite angles are equal.
A manufacturer must test that his bolts are 4.00 cm long when they come off the assembly line. He must recalibrate his machines if the bolts are too long or too short. After sampling 121 randomly selected bolts off the assembly line, he calculates the sample mean to be 4.21 cm. He knows that the population standard deviation is 0.83 cm. Assuming a level of significance of 0.02, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.
The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm.
Step 1: State the hypotheses.
- Null Hypothesis (H₀): The mean length of the bolts is 4.00 cm (μ = 4.00).
- Alternative Hypothesis (H₁): The mean length of the bolts is not equal to 4.00 cm (μ ≠ 4.00).
Step 2: Compute the value of the test statistic.
To compute the test statistic, we will use the z-test since the population standard deviation (σ) is known, and the sample size (n) is large (n = 121).
The formula for the z-test statistic is:
z = (X- μ) / (σ / √n)
Where:
X is the sample mean (4.21 cm),
μ is the population mean (4.00 cm),
σ is the population standard deviation (0.83 cm), and
n is the sample size (121).
Plugging in the values, we get:
z = (4.21 - 4.00) / (0.83 / √121)
z = 0.21 / (0.83 / 11)
z = 0.21 / 0.0753
z ≈ 2.79 (rounded to two decimal places)
Step 3: Determine the critical value and make a decision.
With a level of significance of 0.02, we perform a two-tailed test. Since we want to determine if the mean length of the bolts is different from 4.00 cm, we will reject the null hypothesis if the test statistic falls in either tail beyond the critical values.
For a significance level of 0.02, the critical value is approximately ±2.58 (obtained from the z-table).
Since the calculated test statistic (2.79) is greater than the critical value (2.58), we reject the null hypothesis.
Conclusion:
Based on the computed test statistic, there is sufficient evidence to show that the manufacturer needs to recalibrate the machines. The sample mean of 4.21 cm is significantly different from the specified target mean of 4.00 cm, indicating that the machine's output is not meeting the desired length. The manufacturer should take action to recalibrate the machines to ensure the bolts meet the required length of 4.00 cm.
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Find the value of x. Write your answer in simplest form.
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH²= B²+ P²
\((9 \sqrt{2} ) {}^{2} = x {}^{2} + {x}^{2} \\ \\ \implies \: 81 \times 2 = 2x {}^{2} \\ \\ \implies162 = 2x {}^{2} \\ \\ \implies \frac{162}{2} = x {}^{2} \\ \\ \implies \cancel\frac{162}{2} = x {}^{2} \\ \\ \implies81 = {x}^{2} \\ \\ \implies x = \sqrt{81} \\ \\ \implies \: x = 9\)
Hope This Helps You ❤️513.4497 rounded to the hundredths place
Answer:
513.45
Step-by-step explanation:
use intelligence
You spend $65 on a meal including tax and want to leave a tip that is 20% of the $65. What is the total cost, with the tip ?
Answer:
$78
Step-by-step explanation:
20% of 65 = 13
13 + 65 = 78
Can someone help me I am stuck on this question it would mean the world if u helped me and tysm for the people who helped me! <3
Answer:
49 pieces
Step-by-step explanation:
1. convert 12.25m into cm (1225 cm)
2. divide 1225cm by 25 = 49
11+m>15 what’s the answer for this problem?
Answer:
m > 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
11 + m > 15
Step 2: Solve for m
Subtract 11 on both sides: m > 4Here we see that any value m greater than 4 would work as a solution to the inequality.
0.5x + 4 + 0.9x = x + 5
Answer:
x=2.5
Step-by-step explanation:
Answer:
\(0.5x + 4 + 0.9x = x + 5\)
collect like terms together:
\(0.5x + 0.9x - x = 5 - 4 \\ x(0.5 + 0.9 - 1) = 1 \\ 0.4x = 1 \\ x = \frac{1}{0.4} \\ \\ { \boxed{ \boxed{x = 2.5}}}\)
The formula for the volume of a pyramid is uppercase V = one-third uppercase B h Which of the following equations is equivalent to the given formula?
Step-by-step explanation:
One possible equivalent equation to the given formula is:
uppercase B = 3 uppercase V ÷ h
To see why this equation is equivalent, we can isolate uppercase B in the original formula by multiplying both sides by 3/h:
3/h * uppercase V = 3/h * (one-third uppercase B h)
Simplifying the right-hand side:
3/h * (one-third uppercase B h) = uppercase B
Substituting back in the original formula gives:
uppercase B = 3/h * uppercase V
how far would the plane fly in 3 hours? in 3.5 hours?
What formula do I use for this? How do I get the points to graph?
The graph of the function y = 5|x - 4| is added as an attachment
Sketching the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
y = 5|x - 4|
The above function is an absolute value function that has been transformed as follows
Vertically stretched by a factor of 5Shifted right by 4 unitsNext, we plot the graph using a graphing tool by taking not of the above transformations rules
The graph of the function is added as an attachment
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In a group of 120 people. each person has a dog, a cat, or a bird. The frequency table shows how many people have each kind of pet. complete a relative frequency table to show the distribution of the data with respect to all 120 people.
Answer:
25% 19.2% 45.0%
18.3% 16.7% 34.0%
11.7% 8.3% 20.7%
55.8% 44.2% 100%
Step-by-step explanation:
ANSWER AND EXPLAIN I’LL MARK BRAINLIEST PLEASE ILL MARK BRAINLIEST
Answer:
160 meters
Step-by-step explanation:
Before I begin, note that distance = rate * time (or d = r * t)
To solve this problem, we need to find what point these two people have the same distance. (so Janiyah covers the same distance as Connor)
So, let's set the time that Janiyah takes as x (in seconds). So, he covers
d = r * t, or 8x meters
Then, Connor's equation would be
d = r * t
d = 5x + 60 (because he got a 60 meter headstart)
Because d is the same in both equations, to solve for the amount of time they run:
8x = 5x + 60
Subtract 5x from both sides.
3x = 60
x = 20
Then, to find Janiyah's distance (you can also use Connors because the two distances are equal), put x = 20 into 8x
8x = 8 * 20 = 160
So, Janiyah ran 160 meters.
Just in case, let's check if this is correct. Connor's distance equals Janiyah's, so
5x + 60 = 160
5 * 20 + 60 = 160
100 + 60 = 160
160 = 160
True.
So, the answers are correct.
I hope this helps! Feel free to ask any questions!
Answer: 160 meters
Step-by-step explanation: