It is not a function because it has one-to-many function when it also has one-to-one and many-to-one.
Given that,
In the picture we have a diagram
We have to find if the diagram is a function or not.
We know that,
What is a function?Mathematical calculus' core component is functions. The unique types of relationships are the functions. When it comes to math, a function is represented as a rule that produces a different result for each input x.
Function is satisfy one-to-one and many-to-one.
So,
In the picture we can see
Input -2 to output 7 it is one-to-one
Input 7 to output 8 and 2 it is one-to-many
Input 11 and 2 1/3 to output 5 it is many-to-one
Therefore, It is not a function because it has one-to-many function when it also has one-to-one and many-to-one.
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A rectangular yard measuring 35 ft by 55 ft is bordered (and surrounded) by a fence. Inside, a walk that is 3 ft wide goes all the way along the fence. Find the area of this walk. Be sure to include the correct unit in your answer.
The area of walk is 504 square feet
Area of rectangleThe area of rectangle is define as a product of length L and width w
calculate the area of rectangle yard
Area = L x W,
where A equal the Area, L equals the length and W equal width.
A = 35 x 55
A= 1925 square feet
Area of the rectangular yard is 1925 square feet
From the question, we have 3ft wide goes all the way along the fence inside.
Therefore, we subtract six feet from each of the value of length ( 35) and width (55) because each side has 3feet .
Area = L x W
A = 29 x 49
A = 1421 square feet
Area of new rectangle formed by allowing for three foot walk is 1421 square feet
Area of Walk
To get the area walk; we subtract area of new rectangular formed from area of rectangular yard
Area of Walk = Area of Rectangular yard - Area of new rectangle
Area of Walk = 1925 - 1421
Area of Walk = 504 square feet.
Therefore, the area of walk is 504 square feet.
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How do you find equivalent in math?
To find equivalent expression in math is the fractions with distinct numerators and denominators but the same value are said to be equivalent fractions.
In mathematics, equivalent fractions are those with the same denominator and differing numerators.
The multiplicity of a member of a multiset in mathematics is the number of times the member appears in the multiset. The multiplicity of a root, for instance, is how many times a given polynomial has a root at a particular point.
It's crucial to understand the concept of multiplicity in order to correctly count without mentioning exceptions (for example, double roots counted twice). Thus, "counted with multiplicity" is used.
This can be highlighted by counting the number of different elements, as in "the number of separate roots," if multiplicity is disregarded. However, multiplicity is always taken into account when a set (as opposed to a multiset) is established, therefore the word "different" is not necessary.
For instance, if we simplify 5/15, we get a fraction that is equal to 1/3, which is equal to 5/15.
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Which expression is equivalent to 24³ ?
2√3
2³√3
2√6
2³√6
Answer:
[tex]2 \sqrt[3]{3} [/tex]
Step-by-step explanation:
[tex]24 {}^{ \frac{1}{3} } [/tex]
[tex] \sqrt[3]{24} [/tex]
[tex] \sqrt[3]{8 \times 3} [/tex]
[tex] \sqrt[3]{8} \times \sqrt[3]{3} [/tex]
[tex] \sqrt[3]{2 {}^{3} } \times \sqrt[3]{3} [/tex]
[tex]2 \times \sqrt[3]{3} [/tex]
[tex]2 \sqrt[3]{3} [/tex]
Slope = ½; (h, k) = (1, -2) find the slope-point
The linear equation with a slope of 1/2 and that passes through the point (1, -2) is written in point-slope form as:
y = (1/2)*(x - 1) - 2
How to find the equation of the line?For a linear equation with a slope m and a known point (h, k), the slope-point form is written as:
y = m*(x - h) + k
Where y and x are the two variables.
Here we know that the slope is 1/2, and the known point is (1, -2), then the values on the equation above are:
m = 1/2
h = 1
k = -2
Replacing that in the general formula for the linear equation in the slope-point form that is written above, we will get:
y = (1/2)*(x - 1) - 2
That is what we wanted to find.
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What happens when the discriminant equals zero?
Answer: It indicates that the quadratic has a repeated real number solution.
Step-by-step explanation:
Barb has a jewelry box in the shape of a rectangular pyramid. The top opens at a cross section parallel to the base
What is the shape of the opening of the jewelry box?
A rhombus
B rectangle
C triangle
D trapezoid
What is the reciprocal of ¾?
Group of answer choices
3/1
1/3
3/4
4/3
Answer: 4/3
Step-by-step explanation:
The reciprocal of a/b is b/a.
When an integer is subtracted from 8 times the next consecutive even integer, the difference is 86. Find the value of the greater integer.
Step-by-step explanation:
x = the integer number
8×(x + 2) - x = 86
8x + 16 - x = 86
7x = 70
x = 10
x + 2 = 12
the larger integer is 12.
Emy has 13 1/4 kilograms of sweet potatoes.She gave away 5 12 kilogramsof corn to her neighbors.how many kilograms of corn than potatoes did she gave away?
Answer:
2 1/4 kg
Step-by-step explanation:
Find f(h(x)).
f(x) = x² + 4
h(x)=√x-3
Answer:
[tex]f(h(x)) = ( \sqrt{x} - 3)^{2} + 4[/tex]
[tex]f(h(x)) = (x - 9) + 4[/tex]
[tex]f(h(x)) = x - 5[/tex]
Step-by-step explanation:
h(x) became x for function of f(x)
A small toy rocket is launched from a 18-foot pad. The height (h, in feet) of the rocket t seconds after
taking off is given by the formula h = - 3t^2 + 3t+18. How long will it take the rocket to hit the
ground?
The time it would take the rocket to hit the ground upon launch is; 3 seconds.
At what time does the rocket hit the ground?It follows from the task content that the time taken for the rocket in discuss to hit the ground upon launch is to be determined.
Since the given formula for the height in terms of time, t is;
h = - 3t² + 3t + 18
It follows that ; when the rocket hits the ground; the height; h = 0.
Therefore;
0 = - 3t² + 3t + 18
0 = -3t² + 9t - 6t + 18
0 = -3t ( t - 3 ) - 6 ( t - 3)
-3t - 6 = 0 OR. t - 3 = 0.
t = -2. OR. t = 3.
Therefore, since the time after launch can only be positive; the time taken for the rocket to hit the ground is; 3 seconds.
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Use the graph or table to find the equation that represents the relationship.
The linear equations that represent the relationships in the question order are;
y = 4·x - 1y = -x + 4[tex]y = \frac{1}{4} \cdot x -1[/tex][tex]y = -x + \frac{1}{4}[/tex]What is a linear equation?A linear equation is an equation of the form; y = m·x + c
The slope of the line is found as follows;
(-5 - (-21))/(-1 - (-5)) = 4
The equation is y - (-5) = 4·(x - (-1)) = 4·x + 4
y = 4·x + 4 - 5 = 4·x - 1
y = 4·x - 1The y-intercept is (0, 4), the x-intercept is (4, 0)
The slope is therefore; (0 - 4)/(4 - 0) = -1
The equation is therefore; y - 0 = -1 × (x - 4) = -x + 4
y = -x + 4The y-intercept is (0, -1), the x-intercept is (4, 0)
The slope is therefore; (0 - (-1))/(4 - 0) = 1/4
The equation is therefore; y - 0 = (1/4) × (x - 4) = x/4 - 4/4 =
y = x/4 - 1The slope of the line is; [tex]\dfrac{-3\frac{3}{4} - \left(-\frac{3}{4}\right) }{4-1} = -1[/tex]
y - (-3/4) = -1 × (x - 1) = -x + 1
y = -x + 1 - (3/4) = -x + 1/4
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HELP I BEG
Which of the following is equivalent to 43x + 17y + 3x?
3x(43x + 17y)
43x + 20xy
43x + 3x + 17y
43x(17y + 3x)
Answer:
43x+3x+17y
Step-by-step explanation:
because 43x+17y+3x=43x+17y+3x
An exponential function will have:
Answer:
Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.
Step-by-step explanation:
What is square root of -36 classified as
Answer:
undefined
Step-by-step explanation:
The square root of any negative number is undefined because there is no possible solution. - × - = + and + × + = +
Need help pls on maths question
Answer please anyone help same doubht
Step-by-step explanation:
Answer:
Refer to the photos taken.
Step-by-step explanation:
Choose the symbol that correctly compares these numbers.
18.6? 18.7
O A. <
OB. =
O C. >
Answer: A
Step-by-step explanation:
18.6 is less than 18.7
so 18.6<18.7
Factor 100x² 140xy + 49y²
Answer:
100 times square times Y 49 gives= 14000
Determine which set of ordered pairs represent a
Function and justify your selection.
{(-1,4), (2, 4), (8,4), (10,4)}
{(0, -2), (3, 7), (0, 2), (18,2))
{(-1,3), (-1,-1), (-1,-12), (-1,0)}
{(1, 2), (2, 3), (3, 4), (3,5)}
Justification: (What is your reasoning?)
Answer:
{(-1,4), (2, 4), (8,4), (10,4)}
all of the x-values are different
Step-by-step explanation:
The other three options have duplicate x-values with different y-values.
In which quadrant is the number 5i located on the complex plane?
The number 5i located on the complex plane in I Quadrant.
What is Complex Plane?
The real axis and the imaginary axis are the graph's horizontal and vertical axes, which are orthogonal (or perpendicular). The labels Re and Im are typically present. The complex plane is the plane defined by these coordinates.
We are aware that in a two-dimensional plane, an ordered pair's x- and y-coordinates are treated as the real and imaginary parts of the complex number, respectively.
i.e., a+bi=(a,b) -- Quadrant I,
-a+bi=(-a,b) -- Quadrant II,
a-bi=(a,-b) -- Quadrant III
and
-a-bi=(-a,-b) -- Quadrant IV
The complex number that is being presented is 5i, aland it is located in quadrant I.
As a result, the complex number in question belongs in Quadrant I.
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Let A and B be two events. Suppose that P (A) = 0.11 and P (B) = 0.06.
(a) Find P (A or B), given that A and B are mutually exclusive.
(b) Find P (A or B), given that A and B are independent.
Answer:
find p (A or ),given that A and B are independent
Marlene used the Distributive Property to find the product of 6 and 0.82. Which expression shows the Distributive Property?
The Distributive property on the expression gives a result of 4.9 and the distributed expression is (2 + 4) * 0.82
How to apply the Distributive property on the expression?From the question, we have the following parameters that can be used in our computation:
The expression is given as:
The product of 6 and 0.82
Mathematically, this expression can be represented as
6 * 0.82
To apply the distributive property,
We need to express 6 as the sum of two numbers
So, we have the following representation
6 * 0.82 = (2 + 4) * 0.82
Remove the brackets
6 * 0.82 = 2 * 0.82 + 4 * 0.82
Expand the terms of the expression
6 * 0.82 = 1.64 + 3.28
Evaluate the sum
6 * 0.82 = 4.92
Hence, the solution is 4.9
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Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x^2 - 4x = -2 has.
Please explain how you got the solution.
20 Points! Thanks!
Answer: One Real Solution
We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )
a=2,b=-4,c=2
Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac
Once we plug in our coefficients:
(-4)^2 - 4 x 2 x 2
Once we simplify, we get 0.
One real solution.
I hope this helps.
In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:
For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:
Δ = b² - 4ac
In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:
a = 2b = -4c = 2By introducing these values into the formula we get:
Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0
Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.
We can say: It has a Real solution.Find x:
X=________________
Assuming [tex]\overline{BC}[/tex] is a diameter, minor arc [tex]AB[/tex] has a measure of [tex]180^{\circ}-108^{\circ}=72^{\circ}[/tex].
Using the inscribed angle theorem, [tex]36=x+3 \implies x=\boxed{33}[/tex].
A rectangular garden measures 27 ft by 38 ft. Surrounding (and bordering) the garden is a path 3 ft wide. Find the area of this path. Be sure to include the correct unit in your answer.
The area of this rectangular walk is 390[tex]ft^{2}[/tex]
What is a rectangle?A rectangle is a closed two-dimensional figure with four sides. The opposite sides of a rectangle are equal and parallel to each other and all the angles of a rectangle are equal to 90°.
The width of the walk is constant and is 2ft, length of the walk is determined by the part of the rectangular yard.
Area of walk = 3 x 27 +3x27 + 3 x 38 + 3 x 38 which is 390[tex]ft^{2}[/tex]
In conclusion the area of the walk is 390[tex]ft^{2}[/tex]
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Find the coordinates of any points of intersection between the graphs of y = x^2 – 4x + 2 and y = -x^2 – 8x
Answer:
(-1, 7)
Step-by-step explanation:
First, set both equations equal to each other:
(y = x^2 – 4x + 2) = (y = -x^2 – 8x)
x^2 – 4x + 2 = -x^2 – 8x
x^2 + x^2 – 4x + 2 = -x^2 + x^2 – 8x
2x^2 - 4x + 2 = -8x
2x^2 - 4x +8x + 2 = -8x + 8x
2x^2 + 4x + 2 = 0
2(x^2 + 2x + 1) = 0
x^2 + 2x + 1 = 0
x^2 + x + x + 1 = 0
x(x+1) + 1(x+1) = 0
(x+1)(x+1) = 0
x+1=0
x=-1
y = -x^2 – 8x
y = -(-1)^2 – 8(-1) ==> plug in the x-value back into one of the equations
y = -1 – (-8)
y = -1 + 8
y=7
(-1, 7)
y.y^3.y^2 pleas help me and spread the gospel of God
Answer:
[tex]y^6[/tex]
Step-by-step explanation:
1) Use Product Rule: [tex]x^ax^b=x^{a+b}[/tex].
[tex]y^{1+3+2[/tex]
2) Simplify 1 + 3 to 4.
[tex]y^{4+2}[/tex]
3) Simplify 4 + 2 to 6.
[tex]y^6[/tex]
Thank you,
Eddie
Cindy is attempting to calculate how much her car payment would be for a car that costs $27,000 to be repaid with monthly payments in 4 years at 4% APR.
Cindy's monthly payment of $609.63 will cost her $29,262.24 in 4 years at a 4% APR.
How is the total cost determined?The total cost that Cindy will spend on the car which costs $27,000 is computed by multiplying the monthly payment by 48 months (the payment period).
The monthly payment can be determined using an online finance calculator that compounds the interest rate monthly for four years.
Cost of car = $27,000
Annual Percentage Rate (APR) = 4%
Payment period = 4 years (monthly)
N (# of periods) = 48 months (4 years x 12)
I/Y (Interest per year) = 4%
PV (Present Value) = $27,000
FV (Future Value) = $0
Results:
PMT = $609.63
Sum of all periodic payments = $29,262.24
Total Interest = $2,262.45
Thus, Cindy will spend $29,262.24 for a car that costs $27,000, if she repays monthly for 4 years.
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Describe the function‘s end behavior. f(x)=−10+2x^5−9x^3
as x→∞,f(x)→
as x→−∞,f(x)→
The function‘s end behavior is falls to the left and rises to the right.
The given function is [tex]f(x)=-10+2x^5-9x^3[/tex].
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Use the degree and the leading coefficient to determine the behavior.
Falls to the left and rises to the right.
Find where the first derivative is equal to 0 to find the local maxima and minima.
x =−3√30/10 is a local maximum
x = 3√30/10 is a local minimum
Therefore, the function‘s end behavior is falls to the left and rises to the right.
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You recently joined a gym. You had to pay a joining fee of $40, and you will pay $20 per month to maintain the membership. Part A (6 points) Write an equation in slope-intercept form that represents the cost of the membership in relation to time.
The cost of the membership is the initial joining fee plus the cost per month multiplied by the number of months.
If the cost after [tex]m[/tex] months is [tex]c[/tex] dollars, then [tex]c=20m+40[/tex].