PLEASE HELP- GRAPH THE INVERSE OF THE FUNCTION SHOWN BELOW.
Answer:
-1.0
Step-by-step explanation:
dont no the explanation
10x2y+40x2−2xy3−8xy2 factories this expression
Answer:
2(10y + 40 -11xy)
Step-by-step explanation:
First, multiply the expression
20y +80 -6xy - 16xy
Then collect like terms
20y + 80- 22xy
And then lastly factories the expression
2( 10y + 40- 11xy )
Find a quadratic function f having the graph shown. The quadratic function representing the graph shown to the right is given by 1(x) = HIDDH SOE
The quadratic function representing the given graph is f(x) = 2(x - 1)^2 - 3. This quadratic function is obtained by observing the key features of the graph, namely the vertex and the direction of the parabola.
In the given graph, the vertex of the parabola is at the point (1, -3). This gives us the vertex form of the quadratic function: f(x) = a(x - h)^2 + k, where (h, k) represents the vertex coordinates.
Since the vertex is at (1, -3), we substitute these values into the vertex form and solve for the coefficient a. This gives us f(x) = a(x - 1)^2 - 3.
To determine the value of a, we can use another point on the graph. From the graph, we can observe that when x = 0, y = -1. Substituting these values into the equation, we get -1 = a(0 - 1)^2 - 3, which simplifies to -1 = a - 3.
Solving for a, we find a = 2. Substituting this value back into the equation, we obtain the quadratic function f(x) = 2(x - 1)^2 - 3 as the desired function representing the given graph.
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A survey was conducted in a group of 100 students of a school. The ratio of
students who like mathematics and computer is 3:5. If 30 of them like both
subjects and 10 of them like none of them, construct a Venn-diagram to find the
number of students who like
i. Mathematics only ii. computer only iii. at most one subject
"Given : a survey was conducted in a group of 100 students of a school. the ratio of students who like mathematics and computer is 3:5. if 30 of them like both subjects and 10 of them like none of them,
To Find : number of students who like: at most one subject.
Solution:
Mathematics = 3k
Computer = 5k
30 of them like both subjects
10 of them like none of them
Total = Math + Computer - Both + None
100 = 3k + 5k - 30 + 10
=> 120 = 8k
=> k = 15
Mathematics = 45
Computer = 75
Mathematics only = Mathematics - Both = 45 - 30 = 15
Computer only = Computer - Both =75 - 30 = 45
at most one subject = 100 - Both subjects 100 - 30 = 70
or none + computer only + Mathematics only = 10 + 45 + 15 = 70
70 Students like at most one subject"
The sum of two number is 22 and difference is 8. Find the numbers.
Answer:
7 and 15
Step-by-step explanation:
Let the numbers be x and y
\(x + y = 22\)
\(x - y = 8\)
On adding both
\(x + y + x - y = 22 + 8\)
\(2x = 30\)
\(x = \dfrac{30}{2} \)
\(x = 15\)
From 1
\(15 + y = 22\)
\(y = 22 - 15\)
\(y = 7\)
Answer:
\(take \: numbers \: xand \: y \\ given \: that \: x + y = 22 .....(1)\\ x - y = 8.....(2) \\ x = 8 + y \\ put \: this \: in \: (1) \\ 8 + y + y = 22 \\ 8 + 2y = 22 \\ 2y = 22 - 8 \\ 2y = 14 \\ y = \frac{14}{2} \\ y = 7 \\ pt \: y = 7in \: eqution \: (2) \\ then \: \\ x - 7 = 8 \\ x = 7 + 8 \\ x = 15 \\ therefore \: x = 15 \\ y = 7 \\ thank \: you\)
Simplify the expression below.
(xy)^8
A.
xy^8
B.
x^8y^8
C.
8xy
D.
8xy^8
A student was asked to name all values of n that make the relation a function. Correct the error.
{(2,8), (6,0), (4,2), (2n,n)}
n can be any value except 2,6, or 4
The correct statement is that the value of n that make the relationship a function are any value except 1, 3, or 2
What is a function in mathematics?A function is a relationship that maps the elements of a set A to the elements of a set B, such that each element of A is mapped to exactly one element of the set B.
The ordered pair of known values are a function as the elements of the input variable are all different and the element of the output variable are also different, which indicates a 1 to 1 relationship.
The known elements of the set A in the question are; 2, 6, and 4
The elements of the set A are known as the domain of the function.
The known element of the set B are 8, 0, and 2
The fourth ordered pair (2·n, n), has a value similar to the pair (4, 2)
To prevent the presence of the elements 2,. 6, and 4, being assigned to other elements apart from 8, 0, and 2, the value of 2·n can be any value except 2, 6, 4
Therefore;
n can be any value except 2/2 = 1, 6/2 = 3, or 4/2 = 2
The correct statement is therefore;
n can be any value except 1, 3, or 2
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Consider the figure shown below. How long is XZ?
OPEN ENDED QUESTION
What does y equal?
For a certain video game, the number of points awarded to the player is proportional to the amount of time the game is played. For every 2 minutes of play, the game awards one-half point, and for every 6 minutes of play, the game awards one and one-half points.
Part A: Find the constant of proportionality. Show every step of your work. (4 points)
Part B: Write an equation that represents the relationship. Show every step of your work. (2 points)
Part C: Describe how you would graph the relationship. Use complete sentences. (4 points)
Part D: How many points are awarded for 10 minutes of play? (2 points)
The game awards 2.5 points for 10 minutes of play.
Solving the proportion problem in detailsPart A:
Let's use the given information to find the constant of proportionality. For every 2 minutes of play, the game awards one-half point. Therefore,
1 min of play = 0.5/2 = 0.25 points
6 min of play = 0.25 x 6 = 1.5 points
The constant of proportionality is 0.25
Part B:
We can use the formula for a proportional relationship,
y = kx
where
y = number of points awarded,
x = amount of time played (in minutes), and
k = constant of proportionality.
Substituting k = 0.25, we get:
y = 0.25x
Part C:
To graph this relationship, let x be the independent variable (amount of time played) and y be the dependent variable (number of points awarded). Then, we can choose several values for x, compute the corresponding values of y using the equation above, and plot the ordered pairs (x, y).
Part D: To find the number of points awarded for 10 minutes of play, we can simply substitute x = 10 into the equation we found in Part B:
y = 0.25x = 0.25(10) = 2.5
Therefore, 2.5 points are awarded for 10 minutes of play.
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This pre-image was reflected over the y-axis.
Use the segment tool to draw the image.
Segment
-10-9-8-7-6-5
H
10
9
8
←Undo
7
6
5
4
3
2
1
-3 -2 -10
y
N
-3
-
Redo
5
Because the point (-5, 3) in the pre-image and its corresponding position (5, 3) in the picture are both at the same distance from the y-axis. The pre-point image's (-3, 5) is mirrored to the image's point (3, 5).
What does the y-axis represent?The x-axis is the horizontal axis and the y-axis is the vertical axis in two-dimensional space. As seen in the image below, they are represented by two number lines that perpendicularly connect at (0, 0).
This is a reflection of the pre-image that was provided over the y-axis:
Segment
10 9 8 7 6 5 -5 -6 -7 -8 -9 -10
Because the point (-5, 3) in the pre-image and its corresponding position (5, 3) in the picture are both at the same distance from the y-axis, they are reflected to one another.
Similar to this, the pre-point image's (-3, 5) is reflected to the image's point (3, 5).
The x-coordinates of all other locations in the pre-image are negated in the image because they have corresponding points there that are equally spaced from the y-axis.
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Which statement is true? CLEAR CHECK 0.25 = 14 because 25100 = 14 0.20 = 2010 because 0.20 means 20 tenths 0.23 > 12 because 0.23 = 23 0.4 = 14 because they are on the same place on a number lin
Answer:
because 25/100 = 1/4
0.20 = 20/100
Step-by-step explanation:
because 25/100 = 1/4
0.20 = 20/100
because 0.20 means 20 tenths 0.23 > 1/2
because 0.23 = 23
0.4 = 1/4
because they are on the same place on a number lin
A man runs at the speed of 10 km/hr. How much time will he take to cover 2000 meters?
Convert 88 feet per second into kilometers per hour.
Answer:
One convenient conversion factor is 1 m = 39.37 in
1 m = 39.37 in / 12 in / ft = 3.281 ft
88 (ft / sec) / 3.281 m / ft = 26.82 m / sec
26.82 m/sec * 3600 sec / hr = 96560 m / hr
96560 (m / hr) / 1000 (m / km) = 96.56 km / hr the desired result
Note 88 ft / sec = 60 mi / hr
96.56 / 60 = 1.609 km / mi agreeing with the accepted value
7. On Monday, Jeremiah had a debt of $92.80 after buying a pair of Jordan's. Jeremiah was
paid $126.42 from his job at Home Depot on Tuesday. After depositing his check from
Home Depot, what is the amount, in dollars, in Jeremiah's bank account?
A $33.62
B. $219.22
C. $174.42
D. $42.22
Answer:
A $33.62
Step-by-step explanation:
To figure this out you have to take -92.80 and add 126.42 to get $33.62. Have a great day and LEAVE ME ALONE PLZ! <3
Answer:
-92.80+126.42=33.62
Step-by-step explanation
Since you owe $92.80 it would be a negative. So it would be like this.
126.42-92.80= 33.62
Or
-92.80+126.42=33.62
Hope this Helps.
11. Find the slope of the line that passes through the pair of points. (2, 6), (7, 0)
\(\Large\maltese\underline{\textsf{Our problem:}}\)
Find the slope of the line that passes through the pair of points.
\(\Large\maltese\underline{\textsf{This problem has been solved!}}\)
In this problem we have two points given to us, which are...
(2,6)(7,0)... and we should find the slope.
\(\bf{We\;will\;use\;the\;Slope-Equation:}\\m=\dfrac{y2-y1}{x2-x1}\)
\(\bf{\dfrac{0-6}{7-2}=\dfrac{-6}{5} =-\dfrac{6}{5}\)
\(\rule{300}{1.7}\)
\(\bf{Slope:}\)
\(\bf{=-\dfrac{6}{5}}\)
\(\boxed{\bf{aesthetic \not101}}\)
The equation 2x+5y=0 represents a direct variation. What is the constant of variation
A. -2/5
B. 5/2
C 2/5
D. -5/2
i will like some help with this if anybody has time on their hands pls and thank you x-4=8
1x-4=8
add for to each side
1x=12
divide by 1 on each side
x=12
when joselyn went to the store she bought 2.7 kg of chocolate candy. what would joselyn do to find out how many grams she bought?
Using the conversion factor, Joselyn bought 2700 grams of chocolate candy
A conversion factor is a numerical ratio used to convert a measurement from one unit to another. It is a mathematical expression that is used to convert a quantity expressed in one unit of measure into an equivalent quantity expressed in another unit of measure.
To convert 2.7 kg to grams, Joselyn would use a conversion factor between kilograms and grams. The conversion factor is 1000 grams per 1 kilogram, which means there are 1000 grams in one kilogram.
So, to convert 2.7 kg to grams, Joselyn would multiply 2.7 kg by the conversion factor
2.7 kg x 1000 g/kg = 2700 g
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Mariam is going to invest $3,000 and leave it in an account for 13 years. Assuming the interest is compounded monthly, what interest rate, to the nearest hundredth of a percent, would be required in order for Mariam to end up with $6,200?
Answer:
8.21%
Step-by-step explanation:
r = (1/t)(A/P - 1)
t = 13
A = 6200
P = 3000
1 6200
r = (-------) ((------------) - 1))
13 3000
1 31
r = (-------) ( ------ - 1)
13 15
1 16
r = (-------) ( ------ )
13 15
16
r = -------- = 0.0820512
195
r = 0.0820512 x 100 = 8.20512
r ≈ 8.21%
I hope this helps!
Answer:
Step-by-step explanation:
Compounded Monthly:
Use A=P(1+r/n)^nt
A=6200
P=3000
t=13
n=12
Plug in and simplify:
1. Multiply 12 times 13
2. Divide out the 3000
3. Raise both sides to the 1/156 power to cancel out the exponent
4. Subtract 1 from both sides
5. Multiply by 12 on both sides
R should equal 0.0559716
That is about 5.60%
5.60%
How can you write a percent as an equivalent fraction?
A. Write the percent as a fraction with the percent as the numerator and 100 in the denominator. Then simplify your answer.
B. Write the percent as a fraction with the percent as the numerator and 10 in the denominator. Then simplify your answer
C. Write the percent as a fraction with the percent as the denominator and 100 in the numerator. Then simplify your answer.
D. Write the percent as a fraction with the percent as the denominator and 10 in the numerator. Then simplify your answer.
Answer:
It should be A
Step-by-step explanation:
I hope this helps
Representa en los mismos ejes de coordenadas, con colores distintos, las rectas r: y = 2x y s: y = 2x + 1.
Answer:
La gráfica con la rectas citadas se encuentran contenidas en la imagen adjunta.
Step-by-step explanation:
Dado que las rectas \(r\) y \(s\) son polinomios de primer orden, basta con conocer dos puntos distintos de cada una:
Recta r
\(A(x,y) = (0, 0)\), \(B(x,y) = (1, 2)\)
Recta s
\(C(x,y) = (0, 1)\), \(D(x,y) = (1, 3)\)
A continuación, ubicamos los puntos en un plano cartesiano y trazamos las rectas respectivas:
barney and betty break into a parking meter with in dimes and quarters in it (legal disclaimer: don't do this), and agree that barney will get all the dimes, and betty will get all the quarters. (barney isn't terribly bright.) barney ends up with five more coins than betty. how much money did each get?
Fr the solution of Linear equations, the dollars earned by barney and betty are equal to $1.471428571 and $2.428571428 respectively.
We have barney and betty break into a parking meter. Amount of money from dimes and quarters = $3.90
Let the number of dimes and quarters collected by Barney and betty be x and y respectively. According to seniror,
x = y + 5 --(1)
Also, from unit conversion, 1 quarters
= 0.25 dollar and 1 dimes are worth the same as 0.1 dollar. So,
(number of dimes × value of 1 dimes in dollars ) + (number of quaters × value of 1 quaters in dollars )
=> 0.1 x + 0.25 y = $3.90
Multiple both sides by 100, we result
10x + 25 y = 390 --(2)
Now, we have two linear equations and we have to solve these for determining the values of x and y
Using Substitution method, Substitute value of x from equation(1) to equation(2),
=> 10( y + 5) + 25y = 390
=> 10y + 50 + 25y = 390
=> 35y = 340
=>\( y = \frac{ 340}{35}\)
= 9.71428571429
from equation (1), x = 9.71428571429 + 5
= 14.7142857143.
So, money get by barney= 9.71428571429 × 0.25 = $2.428571428
and for betty = 14.71 × 0.1 = $1.471428571
Hence, required values are 2.428571428 dollars and 1.471428571 dollars.
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Complete question:
Barney and Betty break into a parking meter with $3.90 in dimes and quarters in it (legal disclaimer: don't do this), and agree that Barney will get all the dimes, and Betty will get all the quarters. (Barney isn't terribly bright.) barney ends up with five more coins than betty. how much money did each get?. oo
y 12 11 10 9 18 5 NCS A 1 X -12-11-10-9-8-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 -1 3 ó do & och ich -10 -11 -12
To find out the equation of the line we need two points
so
we take
(1,-3) and (2,-9)
step 1
Find the slope
m=(-9+3)/(2-1)
m=-6/1
m=-6
step 2
Find the equation in slope intercept form
y=mx+b
we have
m=-6
point (1,-3)
substitute
-3=-6(1)+b
solve for b
-3=-6+b
b=6-3
b=3
therefore
y=-6x+31.Given the following:
D: μ≥1000;
E: μ<1000
D and E represent respectively.
Select one:
a. H(a) and H(0)
b. H(0) and H(a)
c. Type I error and Type II error
Therefore, the correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
How to determine D: μ≥1000; E: μ<1000?Based on the given information, D represents the null hypothesis (H₀) and E represents the alternative hypothesis (Hₐ).
The null hypothesis (H₀) is a statement that there is no significant difference between the observed data and the expected results. In this case, the null hypothesis is that the population mean (μ) is greater than or equal to 1000.
The alternative hypothesis (Hₐ) is a statement that there is a significant difference between the observed data and the expected results. In this case, the alternative hypothesis is that the population mean (μ) is less than 1000.
Correct answer is (b) H(0) and H(a), where H(0) represents the null hypothesis and H(a) represents the alternative hypothesis.
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(HELO FAST )What is the solution to this system of equations? *
Answer:
A
Step-by-step explanation:
i think thats the answer
What is the value of {-12}
–13
–12
12
13
Answer: B. -12
Edge 21: Since the brackets are facing down, there is no need to round the -12 because it's already an integer.
The explicit rule for a sequence and one of the specific terms is given. Find the position of the given
term
f(n) -5.5n - 52;25
25 is the BLANK th term
Answer:
25 is the 14th term.
Step-by-step explanation:
The nth term of a sequence is given by the following explicit rule:
f(n) =5.5n - 52
We need to find the position n of the term of value 25. In other words, find n in the equation:
5.5n - 52=25
Adding 52:
5.5n =25+52=77
Solving:
n=77/5.5
n=14
25 is the 14th term.
Sodium-24 has a half-life of 15 hours. When will 4 mg of Sodium-24 remain if the original sample contains 64 mg?
Answer:
60 hours
Step-by-step explanation:
We are given;
Initial amount: A_o = 64 mg
Half life; T_½ = 15 hours
Amount left: A = 4 mg
To get the time that 4 mg of Sodium-24 remain, we will use the formula;
A = A_o(½^(t/T_½))
Where t is the time that 4 mg of Sodium-24 remain.
Thus;
4 = 64 × ½^(t/15)
Divide both sides by 64 to get;
4/64 = 2^(t/15)
0.0625 = ½^(t/15)
In 0.0625 = (t/15) In 0.5
-2.7726 = (t/15) × -0.6931
t = (-2.7726 × 15)/-0.6931
t = 60 hours
Mark Welsch deposits $7,500 in an account that earns interest at an annual rate of 8%, compounded quarterly. The $7,500 plus earned interest must remain in the account 5 years before it can be withdrawn. How much money will be in the account at the end of 5 years?
Mark Welsch deposits $7,500 in an account that earns interest at an annual rate of 8%, compounded quarterly. At the end of 5 years, the amount of money in the account is $7,500 + earned interest = $11,142.75. The answer is rounded to two decimal places.
Mark Welsch deposits $7,500 in an account that earns interest at an annual rate of 8%, compounded quarterly. The $7,500 plus earned interest must remain in the account 5 years before it can be withdrawn. How much money will be in the account at the end of 5 years?Solution: Given that, Principal amount (P) = $7,500Rate of interest (R) = 8%Time (n) = 5 years Quarterly compounding, i.e., number of times compounded per year (m) = 4
We have to find the amount of money that will be in the account at the end of 5 years using the following formula,
A = P(1 + r/n)^(nt)
where A = Final amount
P = Principal amount
r = Rate of interest
n = Number of times compounded per year (frequency)
t = Time in years
So, A = $7,500(1 + 0.08/4)^(4 × 5)
=$7,500(1 + 0.02)^20
=$7,500(1.02)^20
=$7,500 × 1.4859
=$11,142.75
Therefore, at the end of 5 years, the amount of money that will be in the account is $11,142.75.
Note: The above calculated answer is rounded to two decimal places.
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