Answer:2
Step-by-step explanation: I don’t have a explanation
Answer: 2
Step-by-step explanation:
You should be able to do this...
Write an equation that has the given solutions. 0, 8, 2
∵∵∵∵∵∵∵∵∵∵∵∵.........................ω
WHOEVER ANSWERS AND SHOW WORK GETS BRAINLIEST AWARD. Show that f(x)= 2x-3/2 and g(x)= 2x+3/2 are inverse functions. Must show fog=x and gof=x.
The functions f(x) = (2x - 3) / 2 and g(x) = (2x + 3) / 2 are the inverse functions because the composite of the given functions equal to x that is fog = x and gof = x.
The conditions for two functions f and g to be inverses: f(g(x)) = x or g(f(x)) = x.
where, f(g(x)) and g(f(x)) is the composite function.
We are given:
f(x) = (2x - 3) / 2
g(x) = (2x + 3) / 2
Let us find the value of f(g(x)) and g(f(x)):
Substitute the value of x with g(x) in f(x), we will get:
f(g(x)) = (2 * g(x) - 3) /2 = (2 * ((2x + 3) / 2) - 3) /2 = (2x + 3 - 3) / 2 = 2x / 2 = x
So, f(g(x)) = x.
Substitute the value of x with f(x) in g(x), we will get:
g(f(x)) = (2 * f(x) + 3) /2 = (2 * ((2x - 3) / 2) + 3) /2 = (2x - 3 + 3) / 2 = 2x / 2 = x
So, g(f(x)) = x.
Thus, the functions f(x) = (2x - 3) / 2 and g(x) = (2x + 3) / 2 are the inverse functions because the composite of the given functions equal to x that is fog = x and gof = x.
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What's is 100 x 100
(P.S don't cheat)
Answer:10,000
Step-by-step explanation:
How does the role of the board of governors compare to the role of the federal open market committee
Answer:
The Board of Governors of the Federal Reserve System is responsible for the discount rate and reserve requirements, and the Federal Open Market Committee is responsible for open market operations.
Step-by-step explanation:
Which statement is true about the solution of the system?
x − y = 4
-x + y = -4
There are no solutions.
There are an infinite number of solutions.
There is one solution.
Answer
Infinite solutions
Step-by-step explanation:
try any example you want it keeps going on and on.
Consider the following equation:
X/4+3= 1/5
The value of a that will make the equation above valid lies between
which of the following numbers?
A) 10 and 15
B) -1 and -5
C) 1 and 5
D) -10 and -15
E) -5 and -10
For the given equation (x/4)+3= 1/5, the value of x which will make the given equation valid is lies between the numbers of ( -10 and -15).
As given in the question,
Given equation is equal to :
(x/4)+3= 1/5
Simplify the given equation (x/4)+3= 1/5 to get the value of x we have,
(x/4)+3= 1/5
Take least common multiple of 4 and 1 we get,
( x + 12) / 4 = 1/5
⇒5( x +12 ) = 4
⇒ 5x + 60 = 4
⇒ 5x = -56
⇒ x= -11.2
-11.2 lies between (-10 and -15).
Therefore, for the given equation (x/4)+3=1/5, the value of x which will make the given equation valid is lies between the numbers of
(-10 and -15).
The complete question is:
Consider the following equation:
(x/4)+3= 1/5
The value of x that will make the equation above valid lies between
which of the following numbers?
A) 10 and 15
B) -1 and -5
C) 1 and 5
D) -10 and -15
E) -5 and -10
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50 points
There are 140 people in a theater watching a movie. The number of children present is 3 times the number of adults. How many children are watching the movie?
12 children
35 children
3 children
105 children
Answer:
The answer is 35 children and 105 adults
Step-by-step explanation:
we don't know the number of kids or adults in the theater , so they are unknown.
x: adults
y: kids
we know that y=3x (1)
we also know that all the people in the theater are 140.
so we also know that x+y= 140 (2)
And now you need to take (1) and put it in (2):
y=3x
x+y= 140 x+3x=140 =} 4x=140=} x=140/4=} x=35 kids. so if we put on (1) the number of the kids we have the number of adults: y=3*35=}y=105 adults
I hope I helped !
A board game uses the deck of 20 cards shown to the right. Two cards are selected at a random from this deck. Calculate the probability that first card selected has a yellow bird and second cared selected has a lion both with and without replacement
The probability with replacement is = 1/16
The probability without replacement is= 5/16
What do you mean by probability with replacement?
When the results must be put back into the sample space, the probability with replacement is utilized. This means that once an item is selected, it is replaced in the sample space, keeping the sample space's total number of elements constant.
Since cards should be replaced, 5 lions or 5 birds
so, the probability is
= 5/20 ÷ 5/20
=1/16
without replacement,
since cards should not be put back, for the second draw only 19 cards are left
so, the probability is
=5÷20 × 5÷19
=5/16
Hence ,
The probability with replacement is = 1/16
The probability without replacement is= 5/16
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What is the value of 3 + 5x when x
=
3?
Answer:
18
Step-by-step explanation:
What is the value of 3 + 5x when x=3?
3 + 5x =
replace the x with 33 + 5 × 3 =
Remember PEMDAS3 + 15 =
18
---------------
If Kelly has 12 pencils that are mechanical and 15 pencils that are not, what percent (to the nearest whole percent) of all of her pencils are mechanical?
Answer:
4/9
Step-by-step explanation:
Based on the given conditions, formulate: 12 division symbol(12 +15)
Calculate the sum or difference: 12/27
Cross out the common factor: 4/9
get the result:
Answer: 4/9
for every 3 girls taking classes at a martial arts school there are 4 boys who are taking classes. suppose there are 236 boys taking classes at the school. write a proportion that could be used to predict the number of girls taking classes at the school. Use x to represent the number of girls, and find it
find three consecutive odd integers such that 4 times the largest is 17 more than 3 times the second
Answer:
3,4,5
Step-by-step explanation:
x+x+1+x+2
therefore ,
4(x+2)=17+3
4x+8=20
4x=20-8
4x=12
x=3
ab + bc + ac for a = 2, b = 5, and c = 3.
Answer:
31
Step-by-step explanation:
2⋅5+5⋅3+2⋅3
10+15+6
31
The graph of a quadratic function with vertex (4, 3)
Find the domain and the range.
Write the domain and range using interval notation.
Answer:
Domain: (neg infinity, pos infinity)
Range: (pos infinity, 3]
Step-by-step explanation:
To help out with her retirement savings, Lena invests in an ordinary annuity that earns 3.6% interest, compounded quarterly. Payments will be made at the end of each quarter. How much money does she need to pay into the annuity each quarter for the annuity to have a total value of $96,000 after 18 years? Do not round intermediate computations, and round your final answer to the nearest cent
The amount of money that Lena needs to put each quarter for the annuity to have a total value of $96,000 is $953.45.
What amount should Lena deposit each quarter?An annuity is when a series of payment is made either at the beginning of a period or at the end of a period over a period of time.
An ordinary annuity is when the payment is made at the end of the period. When the interest is compounded quarterly, it means that four times in a year, the amount that is invested and the interest that has already being earned increase in value.
The formula that can be used to determine the quarterly payments is:
Payment = future value / annuity factor
Annuity factor = {[(1+r)^n] - 1} / r
Where:
r = interest rate = yearly interest / number of compounding = 3.6 / 4 = 0.9%n = total number of periods the payment is made = number of years x number of compounding = 18 x 4 = 72Payment = $96,000 / [{(1.009^72) - 1} / 0.009] = $953.45
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one serving contains 80 calories; how many calories are in 3 1/4 servings?
Answer: 260 calories
Step-by-step explanation:
If one serving has 80 calories, we will multiply 80 by 3 1/4 to find the total number of calories in 3 1/4 servings.
80 calories * (3 1/4) servings = 260 calories
The Johnson family has decided to create a garden that is in the shape of a parallelogram. The base of the garden is 6 1/2 feet (ft). with a height 2 5/8ft. What is the area of the garden?
The area of the garden with a base of [tex]6\frac{1}{2}[/tex] feet and a height [tex]2\frac{5}{8}[/tex] feet is equal to 17.06 square feet.
What is a Parallelogram?
The word "parallelogram" is a translation of the Greek phrase "parallelogrammon," which means "bounded by parallel lines." As a result, a quadrilateral that is bound by parallel lines is called a parallelogram. It has parallel and equal opposing sides on all sides. Square, rectangle, and rhombus are the three primary varieties of parallelograms, and each one has distinct characteristics.The formula to calculate the area of a parallelogram (A) is given by the equation, [tex]A=b \times h[/tex], where [tex]b[/tex] is the base and [tex]h[/tex] is the height of the parallelogram respectively.In the given question, it is said that the garden decided to be created by the Johnson family is in the shape of a parallelogram.
The base and height of the parallelogram are given as [tex]6\frac{1}{2}[/tex] feet and [tex]2\frac{5}{8}[/tex] feet respectively.
[tex]\implies b=6\frac{1}{2} =\frac{13}{2}[/tex], and
[tex]h=2\frac{5}{8} =\frac{21}{8}[/tex]
The area of a parallelogram is calculated using the formula,
[tex]A=b \times h[/tex]
Substituting the values in the given formula, we get
[tex]A=\frac{13}{2} \times \frac{21}{8} \\\implies A=\frac{273}{16}\\ \implies A=17.06 ft^{2}[/tex]
Therefore, the required area of the garden is equal to 17.06 square feet.
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A couple plans to have children until a girl is born, but they will have no more than four children. Assume that each child is equally likely to be a boy or a girl. Let X be the number of girls they have.
The mean of the probability distribution of X is 0.9375.
Given that,
From the given
We have to find the probability distribution of X and mean of X.
Now, We know,
X -- 0 1 2 3 4
Probability of X-- 1/2 1/4 1/8 1/16 1/16
The mean is average of the distribution
Statistics refers to deviation as the difference between the observed value of a data point and the expected value. The average deviation of a data point from the mean, median, or mode of the data collection is known as the mean deviation, sometimes known as the mean absolute deviation.
μₓ=0×1/2+1×1/4+2×1/8+3×1/16+4×1/16
μₓ=1/4+1/4+3/16+1/4
μₓ=15/16
μₓ=0.9375
Therefore, The mean distribution of X is 0.9375.
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Which ordered pair is not a solution to the inequality y ≥ 2x2 − 4x + 2?
The ordered pair that is not a solution to the inequality y ≥ 2x² - 4x + 2 is:
(-1,6).
How to obtain which ordered pair is not a solution to the inequality?The inequality is given as follows:
y ≥ 2x² - 4x + 2.
Each ordered pair has the following format:
(x-coordinate, y-coordinate).
Then the numeric value of the inequality is going to be calculated for each ordered pair, as follows:
Replacing x on the inequality by the x-coordinate of the ordered pair.Replacing y on the inequality by the y-coordinate of the ordered pair.Then the numeric values of the inequality for each ordered pair are presented as follows:
(-1,6): 6 ≥ 2(-1)² - 4(-1) + 2 -> 6 ≥ 8.(1,0): 0 ≥ 2(1)² - 4(1) + 2 -> 0 ≥ 0.(0,3): 3 ≥ 2(0)² - 4(0) + 2 -> 3 ≥ 2.(2,5): 5 ≥ 2(2)² - 4(2) + 2 -> 5 ≥ 2.The contradiction, that is, the statement which is false, is given at the following ordered pair:
(-1,6).
Hence it is not a solution to the given inequality.
Missing InformationThe ordered pairs are given by the image shown at the end of the answer.
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For the following right triangle find the side length X. Round your answer to the nearest hundredth.
The value of x in given triangle is 6.403
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
The given triangle is a right angled triangle whose one angle is 90 degrees.
We find the value of x by using pythagoras theorem.
the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse
4²+5²=x²
16+25=x²
41=x²
Take square root on both sides
x=√41=6.403
Hence the value of x in given triangle is 6.403
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Describe and correct the error in finding m<1.
The error in this answer is that : The sum of angle of triangle is 180°
What is Triangle?
A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.
Since, we know that Angle sum property of triangle is
∠A + ∠B + ∠C = 180°
Now, let ∠A = 115, ∠B = 39 and ∠C = m∠1
Substituting the value, we get
115° + 39° + m∠1 = 180°
154° + m∠1 = 180°
m∠1 = 180 - 154
m∠1 = 26°
Thus, m∠1 = 26°
Hence, The error for finding m∠1 is that angle sum of the triangle is equal to 180° and not 360°
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What is the inverse of this function? f(x) = -1/2 square root x+3 x> -3.
Answer:
F-1(x) = 4x2 - 3 x<0
What’s the answer to 5(2x + 1) = 50 ?
Answer:
x = 4.5
Step-by-step explanation:
5(2x + 1) = 50 Distribute the 5
5(2x) + (5) (1) = 50
10x +5 = 50 Subtract 5 from both sides
10x = 45 Divide both sdies by 10
x = 4.5
How do i get the result for W in this equation -3 > 1/2w + 11
Answer:
w<-28
Step-by-step explanation:
multiply both sides by 2 : -6 > w +22
subtract 22 : w < -28
The plates that Mom bought are very fragile and expensive. She paid $16.68 per plate and there are eight plates. How much money did she spend on the plates?
Solve for N. 5/3 = N/12
Answer:
N = 20
Step-by-step explanation:
5/3 = 1 2/3
20/12 = 1 8/20
They are equivalent
an oak tree can grow 24 inches a yea, for the first 75 years. if a newly planted oak tree is currently 90 inches, how tall, in inches, will the tree be in 8 years?
Answer:
282 inches
Step-by-step explanation:
24*8+
What is the system of equations? Move the correct answer to each box. Not all answers will be used. 5x+3y=-6,3x+5y=-10,3x-5y=10,x-5y=-10,5x-y=2,x-5y=10 System of equations:
The correct system of equations is 5x-y=2,x-5y=10
How to find the system of equations?
In order to find the system of equations of the graph, we have to check the solution in the graph and then check for the system of equations that gives the same value.
Looking at the graph, the values of x and y at the point of intersection is the solution. Thus:
x = 0 and y = -2
Let's check the equations now:
5x+3y=-6, 3x+5y=-10
Solve for x and y using elimination
3 (5x+3y=-6)
5 (3x+5y=-10)
15x + 9y = -18
15x + 25y = -50
-6y = 32
y = -32/6 = -16/3 (This cannot be the system)
3x-5y=10, x-5y=-10
3x-5y = 10
x-5y = -10
2x = 20
x = 20/2 = 10 (This cannot be the system)
5x-y=2,x-5y=10
1(5x-y=2)
5(x-5y=10)
5x -y =2
5x-25y = 50
24y = -48
y = -48/24 = -2
put y = -2 into 5x -y =2:
5x -(-2) =2
5x + 2 = 2
5x = 0
x = 0
Therefore, 5x-y=2,x-5y=10 is the system of equations. The 3rd option is the answer. Move it to the box
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The last time it placed an order for ingredients, Sweet Treats Bakery ordered 1,090 kilograms of sugar. This time, the bakery is ordering 654 kilograms. What is the percent of the decrease in the size of the sugar order?
hello anyone can help I would appreciate it
The percent of the decrease in the size of the sugar order is 40%.
According to the question,
We have the following information:
Sweet Treats Bakery ordered 1,090 kilograms of sugar. This time, the bakery is ordering 654 kilograms.
We know that following formula is used to find the percent decrease:
100*(original amount-final amount)/original amount
(More to know: the same formula is used to find the percent increase. It can used to find any percent increase or decrease given that the final and initial amount or price is given.)
100(1090-654)/1090
100*436/1090
40%
Hence, the percent of the decrease in the size of the sugar order is 40%.
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in the spinner below what is the probability of landing on 1
Answer:
1/8Step-by-step explanation:
there are 6 numbers, but 3 and 6 take up double the space, so the probabilities are not 6 but 8
1/8 is your answer