For the function y = f(x). The statements are -
A. False
B. True
C. False
D. False
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The data points for the function y = f(x) is given.
The domain of a function is the set of "valid inputs" to the function, while the range of a function is the set of "all outputs" of the function.
The function y = f(x) represents the relation between the set of elements in the domain of f and the set of elements in the range of f, where the variable x represents an element from the domain of the function and f(x) represents an element of the range of the function.
The first row in the table lists all the inputs to the function f. The second row lists the outputs of f corresponding to the inputs in the first row.
(a) The given statement is false because the range of f is the set of all f(x) where x is in the domain of f: {-5,-3,0,2,6,7,9,10,13}
(b) The given statement is true because, according to the table, the given input x = -3 has an output of f(x)=2; that is, f(-3) = 2.
(c) The given statement is false because the domain of f is the set of all values of x for which f(x) is defined:
{1,2,30,1,2,3,0,1}
(d) The given statement is false because, according to the table, the given input x = 0 has an output of f(x)=3; that is, f(0) = 3.
Therefore, the three statements are false and one is true.
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Help please I don’t understand it at all
Answer:
Both of them are correct.
Step-by-step explanation:
Let's review both of their methods and check their validity.
Kaylee's Method:This method is the most straight forward and seems to be correct as we're simply calculating the total value of each, and then subtracting the difference. We can write the expression as: [tex]2.25(4.25)-2.25(2.85)[/tex] and this should give us the difference assuming the prices and math is done correctly.
Ariel's Method:While this method is a bit difference, it actually does work! Think of this way, we first calculate the difference in the prices and then for each pound we increase it by, the difference also increases by this amount. It also helps to look at our original expression: [tex]2.25(4.25)-2.25(2.85)[/tex], notice how we have a factor of 2.25 on both sides? Well we can just factor that out to get: [tex]2.25(4.25 - 2.85)[/tex] and this is essentially what Ariel's method is. This should give us the difference in prices and is likely easier than Kaylee's method as we do less multiplication and with smaller numbers.
Please helpppppp!!!!
Answer:
x(f)- this is the correct answer
Solve 2y-k=b+5 for y
Answer:
y=b+5+k/2
Step-by-step explanation:
2y-k=b+5
2y=b+5+k
2y/2=b+5+k/2
y=b+5+k/2
Answer:
y = b+ 5 + k/2.
Step-by-step explanation:
2y - k = b + 5
the subject for y
[tex]2y - k = b + 5 \\ 2y = b + 5 + k \\ \frac{2y}{2} = \frac{b + 5 + k}{2} \\ y = \frac{b + 5 + k}{2}. [/tex]
The probability that someone files their taxes late is 0.351. If you are questioning 10 people, what is the probability
that 6 of them filed their taxes on time.
Answer:
0.209.
Step-by-step explanation:
The probability that someone files their taxes on time is 1 - 0.351 = 0.649.
To find the probability that 6 out of 10 people file their taxes on time, we can use the binomial distribution. The binomial formula for the probability of k success in n trials is given by:
P(k) = (n choose k) * p^k * (1-p)^(n-k)
Where (n choose k) is the number of combinations of n items taken k at a time, and p is the probability of success in a single trial.
So, for the problem at hand:
P(6) = (10 choose 6) * 0.649^6 * (1 - 0.649)^(10 - 6) = 0.209
Therefore, the probability that 6 out of 10 people file their taxes on time is approximately 0.209.
Aida is 15 years old. Brice is five years younger than Aida. Henry is three years younger than Aida. How old is Brice?
Answer:
Bryce is 10 years old
Step-by-step explanation:
The age of Brice is given by B = 10 years old
What is an 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.
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 data ,
Let the equation be represented as B
Now , the value of B is
Substituting the values in the equation , we get
The age of Aida = 15 years
The age of Brice = 5 years younger than Aida
On simplifying the equation , we get
So , age of Brice = 15 - 5 = 10 years
The age of Henry = three years younger than Aida
So , the age of Henry = 15 - 3 = 12 years
Hence , the age of Brice is 10 years old
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Which equations have the same value of x as Three-fifths (30 x minus 15) = 72? Select three options
The solution of the linear equation with a single variable (3/5) (30x - 15) = 72 will be 4.5. Then the correct options are C, D, and E.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
(3/5) (30x - 15) = 72
Solve the linear equation with a single variable for 'x', then we have
(3/5) (30x - 15) = 72
3(6x - 3) = 72
18x - 9 = 72
18x = 81
x = 4.5
The solution of the linear equation with a single variable (3/5) (30x - 15) = 72 will be 4.5. Then the correct options are C, D, and E.
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Which is true about the function y=−2x?
It is a nonlinear function because its graph passes through the origin.
It is a nonlinear function because its graph is a straight line.
It is a linear function because its graph passes through the origin.
It is a linear function because its graph is a straight line.
The answer choice which is true about the given equation; y = -2x as required to be determined is; It is a linear function because its graph is a straight line.
Which answer choice represents a true statement?It follows from the task content that the given function y = -2x as required be identified as being a linear equation or not and why?
On this note, since the graph of the equation is such that g
it yields a straight line, it follows that the given function; is a linear function because its graph is a straight line.
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Number 1 solve use counting principle
The number of ways 3 man and 3 woman line up at the counter in a store is 720 ways.
What are factorials?Factorials is defined as the mathematical expression that is the product of the given number down to 1. It is denoted with the symbol n! which means that is n is given as 4, then it's factorial would be = 4×3×2×1 = 24.
Given that, three men and three women line up at a checkout counter in a store.
a) Number of ways = 6!
= 6×5×4×3×2×1
= 720 ways
b) The first person in line is a woman, and then the line alternates by gender that is a woman, a man, a woman, a man, a woman, a man, and so on
There are 3 number of ways for woman standing in the odd position and for men standing in the even position.
So, number of ways = 3!×3!
= 3×2×1×3×2×1
= 36 ways
c) There are 3 men and 3 women.
Probability first is a woman is 3/6
Probability second is a man is 3/5
Probability third is a woman is 2/4
Probability fourth is a man is 2/3
Probability fifth is a woman is 1/2
Probability sixth is a man is 1/1
Multiply all these probabilities together and you get:
3/6 × 3/5 × 2/4 × 2/3 × 1/2 × 1/1 = 0.05
Therefore, the number of ways 3 man and 3 woman line up if the first person in line is a woman, and then the line alternates by gender that is a woman is 36 ways.
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Given the equations below, what is the value of x?
2y - 4x = 8
3(x + 4) - 2y = 5
By using the substitution method, the value of x is equal to -1.
How to solve this system of equations?In order to solve the given system of equations, we would apply the substitution method. From the information provided in the image attached above, we have the following system of equations:
2y - 4x = 8 .......equation 1.
3(x + 4) - 2y = 5 .......equation 2.
From equation 1, we have:
y = 2x + 4 .......equation 3.
By using the substitution method to substitute equation 3 into equation 2, we have the following:
3(x + 4) - 2(2x + 4) = 5
3x + 12 - 4x - 8 = 5
-x + 4 = 5
x = 4 - 5
x = -1.
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Solve for v.
k = mv²
2
Ov=±m√2km
Ov=±2k√m
V = + √2km
±
v
m
0₂₁v = ±
√km
4
The equation for v is ±√k/m
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is k=mv²
k equal to m times of v square.
Where k is a formula of kinetic energy.
We need to solve for v
To do this we have to isolate the variable v
To isolate the variable v we have to Divide both sides by m
v²=k/m
v square equal to k by m.
Square root on both sides.
v=±√k/m
v equal to plus or minus square root of k by m.
Hence, the equation for v is ±√k/m
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A local high school has 1,152 students with 391 freshmen, 351 sophomores, 208 juniors, and 202 seniors. What is the
relative frequency of sophomores at this high school?
The relative frequency of sophomores at this high school is 39/128.
How to find the relative frequency?
Relative frequency is the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
We are given that;
Total students=1152
Freshmen=391
Sophomores=351
Juniors=208
Seniors=202
Now, to find frequency of sophomores
=number of sophomores/total number of students
=351/1152
=117/384
=39/128
Therefore, the relative frequency will be 39/128.
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The temperature in burr town starts at 21 F at midnight when H=0 for the next few hours the temperature drops 4 degrees every hour which equation represents the temperature at hour h
Answer:
t = 21 + (-4)h
Step-by-step explanation:
t = temp. at hour h
h = # of hours past midnight
t = 21° + (-4°/hr)h
In the diagram below, AD EB, m/ABD = 115° and m/D = 27°.
Find m < ABE
The value of angle ABE is 52°
What are interior angle of a triangle ?A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted by triangle ABC.
The interior angles of a triangle are the inside angles formed where two sides of the triangle meet.
The sum of interior angle in a triangle is 180°
Angle EBD = 180-(90+27)
= 180-117
= 63°
angle ABE + EBD = ABD
ABE = ABD - EBD
ABE = 115-63
= 52°
Therefore the value of angle ABE is 52°
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How to identify outliers in a set of data? Explain how to and answer my question.
Minimum: 1
Q1: 5
Median: 19.45
Q3: 31.5
Max: 41.6
The outliers in a set of data is the maximum value 41.6.
What are mean and median?The mean is the average value which can be calculated by dividing the sum of observations by the number of observations
Mean = Sum of observations/the number of observations
Median represents the middle value of the given data when arranged in a particular order.
Given that Minimum: 1
Q1: 5
Median: 19.45
Q3: 31.5
Max: 41.6
Range = Maximum - minimum
Range =41.6 -1
= 40.6
Since Mean not including the outlier.
The outliers in a set of data is 41.6.
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Whats the correct answer answer asap for brainlist
A quotation isolated from the rest of the writing - sometimes called "quote vomit" type of quote is Sample #2.
The option (a) is correct.
What is quote?Famous people who discuss their opinions on a given subject often employ quotation marks around their words. The brief nature of a quotation allows it to share individuality. The citation served as a means of sharing ideas and serving as a source of historical information.
The quotation, which is sometimes referred to as "quote vomit," was cut off from the remainder of the text.
The sentences are directed at their objective. Understanding how the universe functions and how we fit into it can be done through the metaphor of weaving.
As a result, the quote isolated from the rest of the writing - sometimes called "quote vomit" type of quote is Sample #2. Therefore, option (a) is correct.
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How many solutions does the system of equations have? y = −7/2 x + 11 7x + 2y = 20
1 solution no solution infinitely many solutions cannot be determined
Answer:
Step-by-step explanation:
To find the number of solutions for a system of linear equations, we can use the method of substitution or elimination. Here, we'll use the method of substitution.
We'll start by solving for x in one of the equations and then substitute that expression into the other equation. If the resulting equation has a unique solution, then the system has a unique solution. If the resulting equation has no solution, then the system has no solution. If the resulting equation has infinitely many solutions, then the system has infinitely many solutions.
Let's start by solving the first equation for x:
y = -7/2 x + 11
To solve for x, we'll isolate x by subtracting 11 from both sides of the equation:
y - 11 = -7/2 x + 11 - 11
y - 11 = -7/2 x
Next, we'll multiply both sides of the equation by -2/7 to cancel out the fraction on the right side:
-2/7 (y - 11) = -2/7 (-7/2 x)
-2/7 y + 22/7 = 7/2 x
Now, we have an expression for x in terms of y. We can substitute this expression into the second equation:
7x + 2y = 20
7 (-2/7 y + 22/7) + 2y = 20
Substituting -2/7 y + 22/7 for x, we get:
7 (-2/7 y + 22/7) + 2y = 20
Expanding the left side of the equation, we get:
-2y + 22 + 2y = 20
0y = -2
Since 0y is never equal to -2, this equation has no solution.
Therefore, the system of equations has no solution, and there are no values of x and y that satisfy both equations simultaneously.
So, the system of equations y = -7/2 x + 11 and 7x + 2y = 20 has no solutions.
A polynomial function can be written as (x − 2)(x − 3)(x + 5). What are the x-intercepts of the graph of this function?
The x-intercepts of the graph of the given polynomial function as described is; 2, 3 and -5.
What are the x-intercepts of a polynomial function?The x-intercepts of a polynomial function are otherwise termed, roots, solutions or zeroes of the polynomial function.
On this note, the x-intercepts of the polynomial function which is as described in this scenario are;
x - 2 = 0; x = 2.
x - 3 = 0; x = 3.
x + 5 = 0; x = -5.
Ultimately, the x-intercepts of the polynomial function in discuss are; 2, 3 and -5.
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1. Find the semester GPA for the following. Show or explain your work.
Class Credit Hours Grade
MAT 171 4 C
HEA 112 2 A
ENG 111 3 B
ACA 111 1 D
BIO 112 4 A
2. Annie is a junior at a local university. She has 80 credit hours and a GPA of 2.1.
She wants to raise her GPA for a scholarship this semester.
She takes 16 credit hours and makes all A's, earning a 4.0 for this semester.
Annie averages the previous GPA of 2.1 and the current semester GPA of 4.0. She adds 2.1 + 4.0, then divides by 2, obtaining 3.05.
She believes she should now have a GPA of 3.05.
Is her reasoning correct? Justify your answer with 2 - 3 sentences.
Answer:
aiaiiwakkaoajdjsjzjhsjaj
The rectangle is framed find the area of shaded region if the frame is 2 unit wide
The area of the shaded region is 20 square units for the given rectangle frame.
What is the area of the rectangle?The area of a rectangle is defined as the product of the length and width.
The area of a rectangle = L × W
Where W is the width of the rectangle and L is the length of the rectangle
Dimensions of the inside rectangle, are as follows:
Length L₁ = 5 units
Width W₁ = 3 units
Since the frame is 2 units wide,
So, the dimensions of the outside rectangle, are as follows:
Length L₂ = 5 + 2 = 7 units
Width W₂ = 3 + 2 = 5 units
The area of the shaded region = area of the outside rectangle - area of the inside rectangle
The area of the shaded region = L₂ x W₂ - L₁ x W₁
The area of the shaded region = 7 x 5 - 5 x 3
The area of the shaded region = 35 - 15
The area of the shaded region = 20 square units
Thus, the area of the shaded region is 20 square units.
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The question seems incomplete, the missing figure is attached below.
Drag each tile to the correct box.
Put the numbers in order from greatest to least.
3.406
V
305
100
A
99 X
100
The order of the numbers from greatest to least are 3.406 > 305 / 100 > 99 × 1/100
What is descending order?Descending order refers to the arrangements of numbers from the greatest to the least.
On the other hand, ascending order is the arrangement of numbers from the least to the greatest.
3.406
305 / 100
= 3.05
99 X 1/100
= 99 × 0.01
= 0.99
Therefore, the arrangements from greatest to least is 3.406, 305 / 100, 99 × 1/100
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Find GI, AGI, TI...
Given:
Wages : $145,000
Interest : $2500,
Contribution towards the retirement: $3000
Exemptions: $4100
Deductions: $2800
-Thanks!
The GI (Gross Income) is $147,500, AGI (Adjusted Gross Income) is $144,500, and TI (Taxable Income) is $137,600.
What is Interest?
Interest is the income that is returned to the holder of capital. Different kinds of interest include gross interest and net interest.
To find GI (Gross Income), we add wages and interest:
GI = Wages + Interest = $145,000 + $2500 = $147,500
To find AGI (Adjusted Gross Income), we subtract the contributions towards retirement from GI:
AGI = GI - Contributions towards Retirement = $147,500 - $3000 = $144,500
To find TI (Taxable Income), we subtract exemptions and deductions from AGI:
TI = AGI - Exemptions - Deductions = $144,500 - $4100 - $2800 = $137,600.
Therefore, the taxable income is $137,600.
Hence, GI (Gross Income) is $147,500, AGI (Adjusted Gross Income) is $144,500, and TI (Taxable Income) is $137,600.
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An entire 6 inch personal pizza has 620 calorie. Estimate the number of calories in a
16 inch pizza
Answer: 1,652.8 calories
Step-by-step explanation:
620 divided by 6 = 103.3 calories per inch
103.3 times 16 inches = 1,652.8 calories
a. A and D
b. B, C, and E
c. A,B,C,D, and E
d. A,D, and E
Answer:
b. B, C, and E
Step-by-step explanation:
The lateral surface area is the sum of the areas of all the faces except for the base.
Some candles are in the shape of a right circular cylinder. For one such candle, the radius is 9 cm and the height is 26.5 cm. Find the volume of the candle.
Round your answer to the nearest whole number. Do not type the units in the space below.
(Be sure to use the pi button on your calculator to do the calculation.)
Step-by-step explanation:
the volume of such a regular cylinder is (as for any regular object) :
base area × height
and for a cylinder the base area is a circle, and its area is
pi×r²
so, combined, the volume of our cylinder is
pi×r²×height = pi×9²×26.5 = pi×81×26.5 =
= 6,743.428631... cm³
≈ 6,743 cm³
DUE TODAY PLS I JUST NEED HELP
Answer:
(a)
smaller value = 125 ft
larger value = 250 ft
(b)
31250 ft²
Step-by-step explanation:
(a)
In total, the farmer used 875ft worth of fencing.
In terms of x, the total fencing used is: 2x + x + x + x + 2x = 7x
This means 7x=875ft. Dividing both sides by 7, we find x=125ft
The dimensions of the rectangular enclosure in terms of x are "x and 2x". Subbing in 125ft for x, these dimensions become "125ft and 2(125ft)" or "125ft and 250ft".
(b)
Since we know the enclosure is 125ft long and 250ft wide, and since the area of a rectangle is its length times its width, the are of the enclosure is:
125ft * 250ft = 31250 ft²
Answer:
(a)
smaller value =125 ft
larger value = 250 ft
(b)
31250 ft?
Given: AABC, CD 1 AB, AC = BC Area of AABC = 32 cm?. • M
The value of CD is 9.92 cm
How to find this value?Given:
∆ABC,CD ⊥ AB,AC = BC,Area of ABC = 32 cm2,m∠A = 72°Find: CD
Triangle ABC is an isosceles triangle with base AB, because AC = BC. In isosceles triangle angles adjacent to the base are congruent. So,
m<A = <mB = 72°
The sum of the measures of all interior angles is 180°, thus
m<C = 180° -72° - 72° = 36°
The area of the triangle ABC is
AABC= 1/2AC.BC.sin<C
If we expand,
AC = 10.43cm
Consider right triangle ACD. In this triangle,
sin <A = CD/AC
sin 72° = CD/10.43
therefore,
CD = 9.92 cm.
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Given: ∆ABC, CD ⊥ AB, AC = BC, Area of ABC = 32 cm2, m∠A = 72°
Find: CD
Determine if the point (-6, 3) is a solution to the system.
y =1/2x+6
2y = -x-3
The point (-6, 3)
is a solution to the system of equations.
is not a solution to the system of equations.
Answer:
is not a solution to the system of equations.
Step-by-step explanation:
Sure! Here's a step-by-step solution to determine if the point (-6, 3) is a solution to the system:
Substitute the x and y values into the first equation:
y = 1/2x + 6
3 = 1/2(-6) + 6
Simplify the right side of the equation:
3 = -3 + 6
Solve for the value of y:
3 = 3
The first equation is satisfied, so now let's substitute the x and y values into the second equation:
2y = -x - 3
2 * 3 = -(-6) - 3
6 = +6 - 3
Simplify the right side of the equation:
6 = -3
The second equation is not satisfied, so the point (-6, 3) is a not solution to the system.
The sales tax rate is 4.5%. How much sales tax will you pay on a $125 purchase?
Work Shown:
4.5% of 125 = 0.045*125 = 5.625
That rounds to 5.63
Answer:
5.625
Step-by-step explanation:
Step 1: 3 - 5 = √√4x + 6
Step 2: 3x - 5-6 = √4x+6-6
Step 3: 3x 11 = √/4x
Step 4: (3x - 11)² =(√4x)
What is the next step in the solution to this equation?
The next step in the solution to this equation is to evaluate the exponents
How to determine the next step in the solution to this equationFrom the question, we have the following parameters that can be used in our computation:
The steps 1 to 4
Using the above as a guide, we have the following:
Step 4: (3x - 11)² =(√4x)²
At this point,, we open the bracket
This is done by evaluating the exponents
So, we have
9x² - 66x + 121 = 4x
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PLEASE HELP ME AS QUICK AS POSSIBLE !!
Answer:
1/(ab) if a ≠ 0, b ≠ 0, and (a+b) ≠ 0
Step-by-step explanation:
You want the simplified form of 1/(a²+ab) +1/(ab+b²) and any applicable conditions.
SimplificationThe expression is simplified by writing it over a common denominator and cancelling any common terms from numerator and denominator.
[tex]\dfrac{1}{a^2+ab}+\dfrac{1}{ab+b^2}=\dfrac{1}{a^2+ab}\cdot\dfrac{b}{b}+\dfrac{1}{ab+b^2}\cdot\dfrac{a}{a}=\dfrac{b+a}{a^2b+ab^2}\\\\=\dfrac{a+b}{ab(a+b)}=\boxed{\dfrac{1}{ab}\quad a\ne0,b\ne0,(a+b)\ne0}[/tex]
The given conditions ensure the denominator(s) will not be zero.