Answers
The only function in the relations given is graph C which can be determined using vertical line test.
What is a FunctionIn mathematics, a function is a relation between a set of inputs, called the domain, and a set of possible outputs, called the range.
A function assigns exactly one output to each input, and each input can only have one output. This means that a function will always give the same output for the same input.
Functions can be classified in different ways. For example, some functions are linear, meaning that the graph of the function is a straight line. Other functions are non-linear, meaning that the graph of the function is not a straight line.
The vertical line test is a method used to determine if a graph represents a function. A graph is a visual representation of a set of points, where each point is defined by a pair of coordinates (x, y).
A graph represents a function if and only if no vertical line intersects the graph more than once. In other words, for any value of x, there should be exactly one corresponding value of y. If a vertical line intersects the graph more than once, it means that there are multiple values of y for the same value of x, which violates the definition of a function.
The vertical line test can be used to determine if a graph is a function by drawing a vertical line on the graph and seeing if it intersects the graph at more than one point. If it does, then the graph is not a function. If it doesn't, then the graph is a function.
Using vertical line test for each of the relation given, only graph C is a function which is a quadratic function.
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Related Questions
Simplify √-45 please i need this for math to pass
Answers
Answer:3√5
Step-by-step explanation:
√ 45 = 3√5. Therefore, the square root of 45 in radical form is 3√5. Square Root of 45 in Radical Form: 3√5.
Answer:
The answer is 3√5
help please . ☠️☠️☠️just give me an answer tbh
Answers
This is a is a rectilinear shape, so the value of x is 4.
What is a rectilinear shape?A planar figure or form with all of its sides meeting at right angles is known as a rectilinear figure in geometry. A rectilinear has an internal angle at each of its vertices that is either 90 degrees (90°) or 270 degrees (270°).Simply multiply the lengths of the longer and shorter sides to determine the area of a rectangle. The units must be in cm2 because we are working with area (centimetres squared). Let's now examine how we might apply this information to determine the area of rectilinear forms.This is a is a rectilinear shape. so the value of x is 4.To learn more about rectilinear shape refer to:
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How long is the red ribbon if the length or the blue ribbon is
Answers
When the blue ribbon measures 10 inches, the red ribbon measures 3 inches, when the blue ribbon measures 27 inches, the red ribbon measures 20 inches, and when the blue ribbon measures 'x' inches, the red ribbon measures (x - 7) inches.
According to craft project instructions, a piece of red ribbon should be 7 inches longer than a piece of blue ribbon.
To find the length of the red ribbon given the length of the blue ribbon, we can subtract 7 inches from the length of the blue ribbon.
a) The length of the blue ribbon is 10 inches.
Red ribbon length = 10 - 7 = 3 inches
b) The length of the blue ribbon is 27 inches.
Red ribbon length = 27 - 7 = 20 inches
c) The length of the blue ribbon is x inches.
Red ribbon length = (x - 7) inches
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The question seems to be incomplete the correct question would be:
Instructions for a craft project say that the length of a piece of red ribbon should be 7 inches than the length of a piece of blue ribbon. How long is the red ribbon the length of the blue ribbon is: 10 inches. 27 inches? x inches?
5x-y=64 and 6y=x solve using substitution method, type the answer as an ordered pair
Answers
The ordered pair for the equation is (384/29, 64/29).
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
5x-y=64..............(1)
6y=x........................(2)
Now, substitute the value of x from equation 2 into equation (1)
5(6y) - y= 64
30y - y= 64
29y= 64
y= 64/29
and, x= 6y
x = 6 (64/29)
x = 384/ 29
Hence, the ordered pair (384/29, 64/29).
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Fawaz when shopping for a new phone sales tax where he lives 9% the price of the phone is $33 find the total price including tax round to the nearest cent
Answers
The total price of the phone including the tax is $35.97.
What is a percentage?The percentage is calculated by dividing the required value by the total
value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Price of the phone = $33
Tax = 9%
The total price of the phone.
= 33 + 9% of 33
= 33 + 9/100 x 33
= 33 + 2.97
= $35.97
Thus,
The total price of the phone is $35.97.
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Which of the following fraction is closest to 0? a. 5/12
b. 2/3
c. 5/6
d. 3/4
Answers
Answer:
(a) 5/12
Step-by-step explanation:
to solve this problem you can make all fractions equivalent with 12 as the denominator
a) 5/12
b) 2/3 = 8/12 Multiply top and bottom by 4
c) 5/6 = 10/12 Multiply top and bottom by 2
d) 3/4 = 9/12 Multiply top and bottom by 3
if you compare numerators, the smallest one is the closest to zero, which would be (a) 5/12
Answer:
A 5/12
Step-by-step explanation:
first you need to round these all to /12 so a is 5/12
12/3 is 4 so multiply 4 by two which means b is 8/12
12/6 is 2 so multiply 5 by two which gives us c = 10/12
12/4 is 3 and multiply 3 x 3 which is 9 so d is 9/12
5 is the lowest decimal/fraction which makes it the closest to 0
What is the difference between saying two segments have an equal length and two segments are congruent?
Answers
Two segments are of equal length indicates its measurable quantity where as when two segments are congruent they are equal in length and shape.
As given in the question,
Difference between two segments are of equal length and the two segments are congruent is given by :
When two segments are of equal length it represents its measurable dimensions.When two shapes are congruent they equal length wise as well as shape wise.Overlapping of shape on each other represents the congruency.In case of line segment when two line segments are of equal length they are said to be congruent to each other.Therefore, the main difference in the segment of equal length and congruent segment is overlapping and only measurable quantity.
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help quick
A student has 4 fifths gallons of popcorn to give away. He wants to split it evenly between his 7 friends. How much popcorn does each friend receive?
1 over 3 gallons
4 over 35 gallons
11 over 5 gallons
28 over 5 gallons
Answers
Answer:
2nd option
Step-by-step explanation:
4/5 / 7 = 4/35 or 4 over 35 gallons
What are the 4 main steps of division?
Answers
The four main steps of division are dividend, divisor, quotient and remainder.
Dividend: The number that is being divided.
Divisor: The number by which the dividend is being divided.
Quotient: The result of the division, which is the number of times the divisor can "fit into" the dividend.
Remainder: The amount left over after the division is complete. It is the part of the dividend that is not "fit" into the divisor.
For example, when dividing 16 by 3, the dividend is 16, the divisor is 3, the quotient is 5, and the remainder is 1.
It can be written as:
16 ÷ 3 = 5 with a remainder of 1.
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Pt. 1 write a congruence statement for the above triangles.
Answers
The congruence statement for the triangles is SSS
How to determine the congruence statementFrom the question, we have the following parameters that can be used in our computation:
The triangles
On the triangles, we can see that
The corresponding sides have the same mark i.e. I, II and III
This means that The corresponding sides are equal
So, the triangles are congruent by SSS
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solve the system of equations using substitution
2x+2y=38
y=x+7
Answers
Answer:
x = 6 and y = 13
Step-by-step explanation:
2x + 2y = 38 ⇒ eq 1
y = x + 7 ⇒ eq 2
Substituting the value of y from eq 2 in 1:
2x + 2(x + 7) = 38
2x + 2x + 14 = 38
4x = 24
x = 24/4
x = 6
Now substituting the value of x in eq 2:
y = ( 6 ) + 7
y = 13
solve the system of equations using substitution
2x+2y=38
y=x+7
Answer:
x= 6, y= 13
A eyeglasses store is checking their inventory. The table shows the relationship between the number of days since the opening of the eyeglasses store and the total amount of sunglasses in their inventory. Sunglasses Inventory Number of Days Total Amount of Sunglasses 2 52 5 46 7 42 10 36 Which graph shows the relationship given in the table?
Answers
A graph that shows relationship between the number of days and total amount of sunglasses is attached.
How to construct and plot the data on a graph?In this case, using Microsoft Excel, the number of days would be plotted on the x-axis (x-coordinate) of the scatter plot and the total number of sunglasses would be plotted on the y-axis (y-coordinate).
A linear equation for the line of best fit is given by the scatter plot (see attachment), which models the relationship between the number of days and total quantity of sunglasses:
y = -2x + 62
In conclusion, the scatter plot shows an inverse relationship between the number of days and the total number of sunglasses, which can be reasonably inferred and logically deduced.
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An art gallery has reserved 10 display locations for a show the artist has 10 paintings but is uncertain on how to display them she insists on trying every possible arrangement before making her decision. If she takes one minute to set up and view each arrangement and works 10 hours a day 6 days a week how many years will it take her to decide
Answers
It will take her approximately 2.76 years to decide.
The artist has 10 paintings, and there are 10 display locations. So, the total number of possible arrangements is 10! (10 factorial) which is equal to 3,628,800.
If she takes 1 minute to set up and view each arrangement, and she works 10 hours a day 6 days a week, she can work for 60*10=600 minutes in a day.
In a week, she can work for 600*6 = 3600 minutes.
Therefore, in a week, she can view 3600/1 = 3600 arrangements.
So, it will take her to view all possible arrangements is: 3,628,800/3600 = 1008 days
That's approximately 2.76 years.
So, it will take her approximately 2.76 years to decide.
Therefore, It will take her approximately 2.76 years to decide.
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A business is operating with a monthly debt for its account balance. In January, the account had a balance of $-\$1,350$ . In February, the account had a balance of $-\$725$ .
Part A
Write two different expressions that correctly represent the change in the account balance, in dollars, from January to February.
Answers
Answer:
Step-by-step explanation:
Step 1: Current Balance = $4700 debit
Step 2: Balance should equal = $900 debit
Step 3:
ADJUSTING ENTRY
Insurance Expense.....$3800 debit
...Prepaid Insurance.....$3800 credit
-----
Prepaid Insurance
$4700 debit
$3800 credit
Bal. $900
Definition
1 / 17
Prepaid Insurance
The Prepaid Insurance account has a $47000 debit balance to start the year. A review of insurance policies and payments shows that $900 of unexpired insurance remains at year-end.
Step 1: Determine what the account balance equals.
Step 2: Determine what the account balance should equal.
Step 3: Record the December 31, adjusting entry to get from 1 to 2.
Answer:
Step 1: Current Balance = $4700 debit
Step 2: Balance should equal = $900 debit
Step-by-step explanation:
What expression is equivalent to -5 - (-4)
Answers
Answer: The expression -5 - (-4) is equivalent to -5 + 4 = -1.
Step-by-step explanation:
What expression is equivalent to -5-(-4)
Whenever you see a number subtracting a negative number, simply draw two vertical lines down the minus signs. They become positives. All you have to do is add the numbers.
Or you can see why that happens. You have -5-(-4). Look at it. To solve this, you will distribute first. Negative times a negative makes a positive. So you get -5+4. Solve that and you get -1.
So the expression is -5+4, which equals -1.
Hope this helped!
how do you graph a linear equation with a fraction in it?
Answers
The linear equation with a fraction in it can be solved by using y-intercept form method.
What are linear equations?
A linear equation is one in which the variable's maximum power is always 1. A one-degree equation is another name for it. A linear equation in one variable has the conventional form Ax + B = 0. In this equation, x is a variable, A is a coefficient, and B is constant. A linear equation in two variables has the conventional form Ax + By = C. The variables x and y are variables, the coefficients A and B are coefficients, and the constant C is a constant.
Now,
y-intercept form-
Make sure the linear equation is in the form y = mx + b. This is called the y-intercept form, and it's probably the easiest form to use to graph linear equations. The values in the equation do not need to be whole numbers. Often you'll see an equation that looks like this: y = 1/4x + 5, where 1/4 is m and 5 is b.[1]
m is called the "slope," or sometimes "gradient."[2] Slope is defined as rise over run, or the change in y over the change in x.
b is defined as the "y-intercept." The y-intercept is the point at which the line crosses the Y-axis.[3]
x and y are both variables. You can solve for a specific value of x, for example, if you have a y point and know the m and b values. x, however, is never merely one value: its value changes as you go up or down the line.
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The area of a rectangular ink pad is 32 square centimeters. The perimeter is 24 centimeters. What are the dimensions of the ink pad?
Answers
Answer:
ur mom
Step-by-step explanation:
What is the quotient of x 3 3x 2 4x 12 )+( x 2 5x 6?
Answers
The quotient of (x^3 + 3x^2 - 4x - 12)/(x^2 + 5x + 6) is (x - 2).
To find the quotient of (x^3+3x^2-4x-12)/(x^2+5x+6) we can use polynomial long division method.
First, divide x^3 by x^2 and write down the quotient (x)
To find the remainder :
(x^3 + 3x^2 - 4x - 12) - x(x^2 + 5x + 6)
= x^3 + 3x^2 - 4x - 12 - x^3 - 5x^2 - 6x
= -2x^2 - 10x - 12
Now divide -2x^2 by x^2 and get the quotient (-2)
Then the remainder is :
(-2x^2 - 10x - 12) - (-2)(x^2 + 5x + 6)
= -2x^2 - 10x - 12 + 2x^2 + 10x + 12
= 0
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Given that a = 16 cm and b = 17 cm, work out the height of the triangle.
Answers
if a = 16 cm and b = 17 cm then the height of triangle is 15 cm
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given that a = 16 cm and b = 17 cm
We have to find the height of the triangle.
The height of the triangle is perpendicular to a.
It forms a right angle triangle.
The base is a/2=8 cm and b is 17 cm. we have to find h.
By pythagoras theorem,
8² + h² = 17²
64+h² =289
h² =225
Square root on both sides
h=15
Hence, if a = 16 cm and b = 17 cm then the height of triangle is 15 cm.
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Game designers are testing two versions of the same video game. In the first version, the on-screen character begins in the center of the screen and moves −3 pixels lower each time players hit the down button. In the second version, the character's vertical position, v, is shown by the equation v = −5x + 1,136, where x is the number of times the player has pressed the down button. The number 1,136 shows that the character starts at the top of the screen, which is 1,136 pixels high. In which version of the game does hitting the down button have a greater effect? Complete the explanation.
Answers
the answer is v= -5x + 1136
Subtract (4 5/9y-7)-(y-7)
Answers
Answer: 4y
Step-by-step explanation:
identify the angles as complementary or supplementary
Answers
Answer:
either of two angles whose sum is 90°.either of two angles whose sum is 180°.
Step-by-step explanation:
A bank account of 45000 loses 3.5% of its value each month. What is the value of the account after 1 year?
Answers
If a bank account of 45000 loses 3.5% of its value each month, based on the exponential function, its value after 1 year is $29,345.40.
What is an exponential function?An exponential function is described as a mathematical function in the form of f(x) = aˣ.
In this function, x is a variable and a is a constant called the base.
Exponential functions may represent exponential growth or exponential decay.
In this situation, we have an exponential decay function as follows:
Initial value of the bank account = $45,000
Decay rate per month = 3.5%
Number of periods = 12
Decayed value after 1 year = Initial value x (1 - 0.035)^12
= $45,000 x 0.965^12
= $45,000 x 0.65212
= $29,345.40
Thus, the bank account will be valued at $29,345.40 after 1 year.
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What is meant by associative property, commutative property and distributive property?
Answers
The commutative, associative, and distributive properties are the properties of addition and multiplication.
The associative and commutative characteristics in mathematics are constant rules that apply to addition and multiplication.
The commutative property states that moving numbers about will still result in the same answer, while the associative property states that rearranging the numbers will provide the same result.
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
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Answer:
The distributive property tells us how to solve equations in the form of a(b + c). The distributive property is sometimes called the distributive law of multiplication and division. Normally when we see an equation like this … 4(8+3) distributive property format 4(8+3) -> 4(11) -> 44 we just evaluate what’s in the parentheses first, then solve it: 4(8+3)=4x8 + 4x3=44 These are the 2 methods
Step-by-step explanation:
6.6 oz for $2.50 or 30 oz for $11.29. Which one is better?
Answers
Answer:
30 oz for $11.29
Step-by-step explanation:
We can find the unit cost for each and compare.
We need both in dollars per ounce, so we divide the number of dollars by the number of ounces for each case.
6.6 oz for $2.50
Unit cost = $2.50 / 6 oz = 0.41666... $/oz
30 oz for $11.29
Unit cost = $11.29 / 30 oz = 0.376333... $/oz
At $0.38/oz, 30 oz for $11.29 is a better buy than 6.6 oz for $2.50 which is $0.42/oz.
Answer: 30 oz for $11.29
6. On the axes provided below, sketch a possible graph for a function f with the
specified properties.
i. the domain is -1,1]
ii. f(-1) = f(0) = f(1) = 0
iii. lim f(x) = lim f(x) = lim f(x) = 1
211-
4
Answers
Answer: The domain of the function f is [-1,1], meaning that the input values (x) can be any value between -1 and 1, inclusive of -1 and 1.
The function f(-1) = f(0) = f(1) = 0, meaning that the output value (y) is 0 when the input value (x) is -1, 0 or 1.
The limit of f(x) as x approaches -1,0 and 1 is 1. This means that as x gets closer and closer to -1, 0 and 1, the output value (y) approaches 1.
A possible graph of a function with these properties is a function that has a horizontal asymptote at y=1, and intersects the x-axis at -1, 0, and 1. It means that the function approaches y =1 as x gets closer to -1, 0, and 1 but never reach the point. Also, the function is zero at -1, 0, and 1.
This function is called the absolute value function, and it can be represented by f(x) = |x|.
However, the graph you provided in the question is not correct. The function is not a parabola, it's a step function. The graph is not smooth and it has vertical lines at -1, 0, 1.
Step-by-step explanation:
Zachary invested $700 in an account paying an interest rate of 4. 9% compounded
continuously. Assuming no deposits or withdrawals are made, how long would it
take, to the nearest year, for the value of the account to reach $1,360?
Answers
The value of an account can be calculated using the formula for continuously compounded exponential growth given by A = P[tex]e^{rt}[/tex], where A is the final amount, P is the initial amount, r is the interest rate and t is the time.
What is an interest rate?A proportion of a sum of money is charged as interest for using it. Usually, it is stated as an annual percentage rate (APR). Interest rates can vary based on the kind of loan, the lender, and the borrower's creditworthiness. They are commonly charged on loans, credit cards, and savings accounts.
In the given question, the value of the account can be calculated using the formula for continuously compounded exponential growth given by A = Pe^rt, where A is the final amount, P is the initial amount, r is the interest rate, and t is the time.
Substituting the given values, we get:
$1,360 = $700[tex]e^{(0.049t)}[/tex]
To solve for t, we can take the natural logarithm of both sides:
ln(1360) = ln(700) + 0.049t
Rearranging and solving for t, we get:
t = (ln(1360) - ln(700))/0.049
t = 9.68 years
Rounding to the nearest year, it would take 10 years for the value of the account to reach $1,360.
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An iceberg weighs 450,000 pounds. If it loses 0. 2% of its weight in a day, what is its new weight at the end of the day?
Answers
The new weight at the end of the day will be = 450000-9000 = 441000 Pounds.
The current weight of the Iceberg = 450,000 pounds
Percentage decrease in weight every day = 0.2%
So, for determining the value of the percentage decrease in the weight, we need to first find the value of 2% of 450000
For converting the value given in percentage to the fraction value we will divide the given number by 100.
So, the value 2% can be written as (2/100)
Now calculate the value of 2% of 450000
We will get it as:
(2/100)*450000 = (2*4500) = 9000 Pounds.
After a day, the weight of the iceberg decreases by 9000 Pounds
So, for determining the value of weight at the end of the day, we will subtract the value decreased during the day from the value of weight at the start of the day.
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closure means that whenever you add or subtract two polynomials, you get a ____.
Answers
Answer:
Step-by-step explanation:
is this in college?
What do I do for this because I don’t think my Equation
Answers
to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below.
[tex](\stackrel{x_1}{-6}~,~\stackrel{y_1}{12})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{16}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{16}-\stackrel{y1}{12}}}{\underset{\textit{\large run}} {\underset{x_2}{-4}-\underset{x_1}{(-6)}}} \implies \cfrac{4}{-4 +6} \implies \cfrac{ 4 }{ 2 } \implies 2[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{12}=\stackrel{m}{ 2}(x-\stackrel{x_1}{(-6)}) \implies y -12 = 2 ( x +6) \\\\\\ y-12=2x+12\implies {\Large \begin{array}{llll} y=2x+24 \end{array}}[/tex]