Answer:
-11
Step-by-step explanation:
i think thats right im sorry if its wrong
Marla needs 115 square feet of tile to cover the floor of her
square sunroom. What is the length of one wall to the nearest
foot?
Answer:
11 feet
hope this helps
What is the domain of the function represented by the list of ordered pairs?
(0, 2), (-3, 6), (4, 8), (2, 5), (-2, 4)
Answer:
D: (-3,4).
Step-by-step explanation:
There is really no need to solve it. Plot those points onto a graph and draw lines. I have done it on desmos. Looking at the x-axis to find the domain. From the left to right x-axis we can see that the domain should be D: (-3,4).
f(x) =x(x-1) on R to R
find A and B such that g: A to B defined by g(x)=f(x) is bijective
this is an algebra question, help.
details are needed
Answer: To find A and B such that g(x) = f(x) is bijective, we need to ensure that g(x) satisfies the conditions for a bijective function, namely, that it is both injective and surjective.
To show that g(x) is injective, we need to show that for any distinct x1, x2 in A, g(x1) ≠ g(x2). We can do this by assuming that g(x1) = g(x2) and then showing that it leads to a contradiction.
So, let's assume that g(x1) = g(x2). Then, we have:
f(x1) = f(x2)
x1(x1-1) = x2(x2-1)
x1^2 - x1 = x2^2 - x2
x1^2 - x2^2 - x1 + x2 = 0
(x1 - x2)(x1 + x2 - 1) = 0
Since x1 and x2 are distinct, we must have x1 + x2 = 1.
But this is impossible, since x1 and x2 are both real numbers, and the sum of two real numbers cannot equal 1 unless one of them is complex. Therefore, our assumption that g(x1) = g(x2) must be false, and g(x) is injective.
To show that g(x) is surjective, we need to show that for any y in B, there exists at least one x in A such that g(x) = y. In other words, we need to find an expression for x in terms of y.
So, let's solve the equation f(x) = y for x:
x(x-1) = y
x^2 - x - y = 0
Using the quadratic formula, we get:
x = (1 ± √(1 + 4y))/2
Since we want to define g(x) on R, we need to ensure that the expression under the square root is non-negative. This means that 1 + 4y ≥ 0, or y ≥ -1/4.
Therefore, we can define A = [-1/4, ∞) and B = [0, ∞), and g(x) = f(x) is a bijective function from A to B.
Hold on hold on hold on hold on hold on oh my God if seven is an element in the domain of F parentheses X parentheses equals 6X -19 over five what is the corresponding element in the range
The corresponding element in the range of the function F when 7 is in the domain is 4.6.
The expression for the given function F following as:
F(x) = 6(x) - 19 / 5
The corresponding element in the range of the function F is the output of the function when 7 is input into the function.
To find this output, we can substitute 7 for X in the expression for the function F:
F(7) = 6(7) - 19 / 5
F(7) = 42 - 19 / 5
F(7) = 23 / 5
F(7) = 4.6
Thus, when 7 is in the domain, the equivalent element in the range of the function F is 4.6.
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What is the value of the expression -(-6)?
A.-6 b.-1/6 c.1/6 d.6
Answer:
d. 6
Step-by-step explanation:
Answer:
D: 6
Step-by-step explanation:
The Main Rules Are:
1) A negative number times a negative number is a positive number.
2) A positive number times a positive number is a positive number.
3) A negative number times a positive number is a negative number.
This problem is read as negative 1 times negative 6. Any negative symbol in front of a parentheses would be read as negative 1. In other words, the problem reads -1(-6). Remember, a negative number times a negative number is a positive number. Multiplying negatives is no different than multiplying numbers greater than zero, you just change the sign of the answer. Lets read this as 1 times 6 which is 6. Therefore, -1 times -6 is 6.
Hope that helped, as well as explained the concept :)
What is the value of
(
4
−
1
4
)
÷
(
2
−
1
2
)
?
Answer:
Step-by-step explanation:
(4-14)÷(2-12)=-10÷-10
= 1
calculate (4-7i)-(-3+6i)
Answer:
7 - 13i
Step-by-step explanation:
1. Distribute the negative in front of (-3+6i)
2. Combine like terms
divide the polynomials x^2-10,000/x-100
Answer:
x+100
Step-by-step explanation:
x^2-10,000/x-100
x^2-10000 is a difference in squares and can be factored.
x^2-10000 = (x+100)(×-100).
(x+100)(x-100)/(x-100)
(x-100) cancel each other.
x+100 remains.
Please help
(100 Points)
Answer:
Equation: (14.71-4.48) [divided by] 3 =x
"Answer x": 3.41
Explanation:
14.71-4.48=10.23
10.23/3 = 3.41
3.41
Los organizadores de la Feria de Alimentos colocan un contenedor de agua que mide 2,76 metros de largo, por 23,5 decímetros de ancho y por 196 centímetros de alto. ¿Cuál es el volumen del contenedor? Expresa la respuesta en metros cúbicos con aproximación a centésimos.
The volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
To find the volume of the container, we need to multiply its length, width, and height. Let's convert the given measurements to meters to ensure consistent units.
The length of the container is 2.76 meters.
The width of the container is 23.5 decimeters, which is equal to 2.35 meters (since 1 decimeter = 0.1 meters).
The height of the container is 196 centimeters, which is equal to 1.96 meters (since 1 meter = 100 centimeters).
Now we can calculate the volume of the container:
Volume = Length × Width × Height
Volume = 2.76 meters × 2.35 meters × 1.96 meters
Volume ≈ 12.9516 cubic meters (rounded to four decimal places)
Therefore, the volume of the container is approximately 12.9516 cubic meters when rounded to the nearest hundredth.
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Mr. Burnett, the school librarian, is ordering new keyboards and mice for all of the school's
computer labs. Each keyboard costs $13.50, and each mouse costs $6.50. There are 3
computer labs in the school, and each computer lab has s computer stations.
Pick all the expressions that represent how much Mr. Burnett will spend on new keyboards
and mice.
3(13.50s + 6.50s)
20.00s + 3
(13.50s + 3) + (6.50s + 3)
3(20.00)
Answer:
so 3 X 13.50 + 6.50) so add first because of this order of operations (pemdas), parenthesis, exponent, multiply, divide, add, subtract
Step-by-step explanation:
HELP IM LITERALLY IN CLASS AND IM TAKING A TEST
Given the points (4,-3) and (0, -1), which other point lies on the line?
Can I get help with this, I’m so confused
The linear and exponential equations for the amount of money in the banks indicates;
TCF Bank Equation
y = 100·x + 1000
Well Fargo Bank Equation
y = (1.06)ˣ
The number of years it will take for both accounts to have the same amount of money is about 17 years
What is an exponential equation?An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.
The equation for calculating the amount in each bank, based on the details are;
TCF Bank;
Amount invested = $1,000
Amount added each year = 100·x
The TCF Bank Equation is; y = 100·x + 1000Well Fargo Bank Equation
The percentage of the amount earned as interest each year = 6% = 0.06
The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ
Therefore; y = 1000·(1.06)ˣ
The Well Fargo Bank Equation is; y = 1000·(1.06)ˣWhen the amount in the two accounts have the same amount of money, we get;
1000·(1.06)ˣ = 100·x + 1000
Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1
(1.06)ˣ = 0.1·x + 1
Solving the above equation using the substitution method and graphing indicates that we get;
x = 0, and x ≈ 17.125732
Therefore, it takes about 17 years for the two accounts to have the same amount of money
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Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is
x and the slope of the line is
Line
is the graph of the line -3y = 15 - 4x.
Parte de Cálculo: En cada una de las siguientes proporciones, utilizar regla de tres para determinar el valor desconocido
x/5 = 8/10
8/12 = 2/x
15/3 = x/2
x/6 = 6/12
x/8 = 4/2
10/2 = x/7
Answer:
x = 4
x = 3
x = 10
x = 3
x = 16
x = 35
Step-by-step explanation:
\(\frac{x}{5} :\frac{8}{10}\)
x · 10 = 5 · 8
10x = 40
10x ÷ 10 = 40 ÷ 10
x = 4
\(\frac{8}{12} :\frac{2}{x}\)
x · 8 = 12 · 2
8x = 24
8x ÷ 8 = 24 ÷ 8
x = 3
\(\frac{15}{3} :\frac{x}{2}\)
x · 3 = 15 · 2
3x = 30
3x ÷ 3 = 30 ÷ 3
x = 10
\(\frac{x}{6}:\frac{6}{12}\)
x · 12 = 6 · 6
12x = 36
12x ÷ 12 = 36 ÷ 12
x = 3
\(\frac{x}{8} :\frac{4}{2}\)
x · 2 = 8 · 4
2x = 32
2x ÷ 2 = 32 ÷ 2
x = 16
\(\frac{10}{2} :\frac{x}{7}\)
x · 2 = 10 · 7
2x = 70
2x ÷ 2 = 70 ÷ 2
x = 35
Find the area of the figure below using the given dimensions. Think about
creating two shapes from the figure!*
20
15 ft
20 ft
175 ft squared
125 ft squared
200 ft squared
150 ft squared
Answer:
200
Step-by-step explanation:
The solution for a kite is multiply the two diagonals which in this case are both 20 and then divide the answer by 2
Which graph and equation shows a proportional relationship between x and y?
Answer:
x is tje best answer bro ...................For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 21 N acts on a certain object, the acceleration of the object is 3 m/s2. If the force is changed to 28 N, what will be the acceleration of the object?
When a force of 21 N acts on a certain object, the acceleration of the object is \(3\ m/s^2\). If the force is changed to 28 N, then the acceleration of the object will be \(4\ m/s^2\).
By Newton's second law,
F = ma ----------(1)
where, F = amount of force needed to accelerate the object
m = object's mass
a = acceleration
When a force of 21 N, acceleration is \(3\ m/s^2\)
Now, we put F = 21 N & a = 3 in the equation (1),
Then it becomes,
21 = m(3)
m = \(\frac{21}{3}\)
m = 7
Now when F = 28N, we have to find a,
Equation F = ma can be written as,
28 = 7a
a = \(4\ m/s^2\)
Therefore the acceleration will be \(4\ m/s^2\), is the force changes to 28 N.
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This graph represents the demand for health supplements in Oklahoma. Match each section of the function to the description of how the y-value changes as the x-value increases. increases quickly increases slowly decreases slowly decreases quickly A arrowRight B arrowRight C arrowRight D arrowRight
The appropriate description of the graph is as follows
1. The demand for health supplements in Oklahoma A: increases slowly.
2. The demand for health supplements in Oklahoma B: Decreases quickly.
3. The demand for health supplements in Oklahoma for C: Increases quickly.
4. The demand for health supplements in Oklahoma for D: decreases slowly.
How to interpret lines on a graph?To interpret lines on a graph, we must first note that those lines mean a number of things but ultimately, the tell or show is the relationship between two or more variables.
In the case of the Oklahoma graphs, we know that the lines represents the deman for health supplements. However, what we don't know are those factors that are causing the demands to increase or decrease.
The above answer is for the graph below that has been attached.
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Write an equation of the line satisfying the given conditions. Write the answer inslope-intercept form.
The line is perpendicular to the line defined by y = 4x-8 and passes through the point(8,3).
Answer:
\(y=-\frac{1}{4}x+5\)
Step-by-step explanation:
Given the point (8,3) and slope of 4, we can write an equation in point-slope form.
We know that any line perpendicular to another line has a opposite reciprocal. The opposite reciprocal of 4 is \(-\frac{1}{4}\).
Now, to write this in point slope form.
Point slope formula:
\(y-y_1=m(x-x_1)\)
New equation:
\(y-3=-\frac{1}{4}(x-8)\)
Simplify:
\(y=-\frac{1}{4}x+5\)
Here is the equation :)
In an arithmetic sequence, the 30th term is 112, and the 72nd term is 280. What is the 58th term?
Answer: 224
Step-by-step explanation: Subtract the terms and term number to find the common difference, 168/42=4. 112-29×4=-4=first term. 57×4+-4=224!
3
What are the benefits of a long-term bond over a short-term bond?
a. Long-term bonds have fewer risks than short-term bonds.
b. Long-term bonds have more risks associated with them, and bring in lower returns for the
initial investment.
c. While long-term bonds have more risks associated with them, they have the potential to bring
in higher returns for the initial investment.
d. Long-term bonds always have a higher return for the investment.
Answer:
c is the right answer
Step-by-step explanation:
okk how are u ?
The statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.
What are a long-term bond and a short-term bond?Long-term bonds keep an investor's money locked up for a longer period than a short-term bond, giving the bond's price more time to be impacted by changes in interest rates and inflation.
As we know,
The fact that short-term bonds offer lower interest rates than long-term bonds is a drawback.
Long-term bonds have a larger chance of receiving higher rates since there is a bigger likelihood that interest rates will rise over time.
Bonds with a long term are often those that investors hold for almost ten years.
Thus, the statement (C) "While long-term bonds have more risks associated with them, they have the potential to bring in higher returns for the initial investment" is correct.
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1.1 Define the basic charge in the given context.
The basic charge refers to a fixed fee or cost that is charged for a service or utility regardless of the actual usage or consumption.
In the given context, the term "basic charge" refers to a fixed fee or cost that is charged for a particular service or utility regardless of the actual usage or consumption.
It is a standard or minimum charge that is applied uniformly to all customers or users, typically to cover the basic infrastructure or administrative costs associated with providing the service.
The basic charge is often separate from any variable charges based on usage or additional services.
It is a recurring fee that customers are required to pay regardless of their specific usage level.
The purpose of the basic charge is to ensure a baseline revenue for the service provider and to contribute to the maintenance and operational costs of the service infrastructure.
It provides a consistent source of income and helps to distribute the costs among all customers fairly.
The basic charge is usually set at a fixed amount or a predetermined rate and may vary depending on the type of service or utility being provided, such as electricity, water, internet, or telecommunications.
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The complete question may be like: Define the basic unit of currency in the United States and explain its significance in the context
The length is three times the height. The height is one inch less than the width. The volume is 108 cubic inches. Find the dimensions of the box.
Answer:
3×9×4
Step-by-step explanation:
The volume for a box is b×h×w
With a bit of trial and error, you will quickly find out that the height and width, are small numbers.
When you try 3 for the height you will see that it works.
3×3=9 this is the length
the width is one inch more than the height so for
3×9×4=108
answer the question submitted
The function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
To complete the square for the function g(x) = 4x² - 28x + 49, we follow these steps:
Step 1: Divide the coefficient of x by 2 and square the result.
(Coefficient of x) / 2 = -28/2 = -14
(-14)² = 196
Step 2: Add and subtract the value obtained in Step 1 inside the parentheses.
g(x) = 4x² - 28x + 49
= 4x² - 28x + 196 - 196 + 49
Step 3: Rearrange the terms and factor the perfect square trinomial.
g(x) = (4x² - 28x + 196) - 196 + 49
= 4(x² - 7x + 49) - 147
= 4(x² - 7x + 49) - 147
Step 4: Write the perfect square trinomial as the square of a binomial.
g(x) = 4(x - 7/2)² - 147
Therefore, the function g(x) = 4x² - 28x + 49 can be rewritten as g(x) = 4(x - 7/2)² - 147 after completing the square.
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The probable question may be:
Rewrite the function by completing the square.
g(x)=4x²-28x +49
g(x)= ____ (x+___ )²+____.
Consider the initial value problem:
y' + 5/3y =1 - 1/5t, y(0)= yo
What equation expresses the requirement that the solution touches the t-axis?
a. y(t)= 0
b. y'(t)= 0
c. y''(t)= 0
Answer:
a. y(t) = 0
Step-by-step explanation:
There are two axis on the graph. One is x-axis which is horizontal line on the graph and the other is y-axis which is vertical side of the graph. The point where x-axis and y-axis meet is origin which has value 0. The equation to write the points of the graph is represented by y(x) = 0. In the given equation there is t variable used in the values.
Express as a single natural logarithm
In 2 + In 8 - In 4
In 4
In 6
In 64
\(\begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} ~\hspace{4em} \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill\\\\ \underline{\ln(2)+\ln(8)}-\ln(4)\implies \underline{\ln(2\cdot 8)}-\ln(4)\implies \ln(16)-\ln(4) \\\\\\ \ln\left(\cfrac{16}{4} \right)\implies \ln(4)\)
110 mi/hr = how many mi/day
Answer:
2640
Step-by-step explanation:
110mi/hr = Xmi/day
24hr = day
110mi x 24hr = 2640mi/day
Solve for x: –5x+3=2x-1
Answer:
x=1.2
Step-by-step explanation: take -5x and devide it by 2x. then - 3 from -1. -3 devided by -2.5 then it equalls x=1.2
What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?
As x→-co, Y→- and as x→∞o, y →→∞
As x→-co Y→- and as x→∞ Y→∞
As x→-co, Y→∞ and as x→∞o, y →-co
As x→-co, y →∞and as x→∞o, y →∞
The end behavior of the graph of the polynomial function (x)=3x⁶+ 30x⁵ + 75x⁴ is x→±∞, y→∞.
What is Polynomial?Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given polynomial function is f(x)=3x⁶+ 30x⁵ + 75x⁴
y=f(x)=3x⁴(x+5)²≥0
The zeros are 0, 0, 0,0,-5 and -5.
x-intercept ( y = 0 ): x = -5.
Local mini/max turning points ( y' = 0 ): 0 0, 0, -10/3 and -5.-,
As x→±∞, y→∞.
Hence, the end behavior of the graph of the polynomial function (x)=3x⁶+ 30x⁵ + 75x⁴ is x→±∞, y→∞.
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Answer:
the 4th option
Step-by-step explanation:
ed2023