Answers
[tex]{ \qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
No, The given relation isn't a function.
[ For a relation to be a function, every value that lies in the domain ( set A ) should have only one corresponding value in its Range ( set B ) but here, -1 has two corresponding values that are : (-1) and (2) ]
Therefore, conclusion can be made that the given relation isn't a function.
Answer:
Not a function.
Step-by-step explanation:
Functions
A function is a special type of relation where each input (x-value) has a single output (y-value).
One-to-one: Each value in the range (y-values) corresponds to exactly one value in the domain (x-values).Many-to-one: Some values in the range (y-values) correspond to more than one (many) value in the domain (x-values).The given function is not a function as the input value of x = -1 has multiple output values of y = 2 and y = -1.
Related Questions
Write two ratio that are equivalent to 4:5
Answers
Answer:
8:10, 12:15
Step-by-step explanation:
12:15
Basically what u need to do is multiply the numerator and denominator with the same number like in the first one I multiplied both by 2 ( 4x2 and 5x2) and in the second I multiplied both by 3 (4x3 and 5x3) u can multiply with any number u want just make sure to multiply it with both numerator AND denominator. Brainlist pls
Someone please help me
Answers
Answer:
Please see the picture below. You were on the right track. You were just off in letter A.
Step-by-step explanation:
Identify a counterexample for the following statement:
"If a number is a perfect square, then it can't end with a 1."
Answers
Answer:
81
Step-by-step explanation:
81 is a perfect square, and also ends with 1.
a 65g book is 15cm x 5cm x 3c. Find the density
PLEASE HELP
Answers
Answer:
Density=13g/45cm cubed
Step-by-step explanation:
D=M/V
D=65g/225cmcubed
D=13g/45cm cubed
-1. 64 as a mixed number in simplest form
Answers
Answer:
Step-by-step explanation:
13
Write the time.
-9
11 12
10
8
76
1
2
Answers
Answer:
5:45
...................................
Answer:
the time is 5:45 PM according to that watch
Gabriel finds some dimes and quarters in his change purse. How many coins does he have if he has 11 dimes and 8 quarters? How many coins does he have if he has dd dimes and qq quarters?
Answers
Answer:
8 quarters equal 2 dollars 11 dimes is a dollar and 10 cents so 3 dollars and 10 cents
Step-by-step explanation:
On a coordinate plane, a parabola with equation f (x) = squared minus 4 x + 2 opens up. It goes through (0, 2), has a vertex at (2, negative 2), and goes through (4, 2).
Consider the function shown. How can you restrict the domain so that f(x) has an inverse? What is the equation of the inverse function?
x > –2; f Superscript negative 1 Baseline (x) = 2 minus StartRoot x + 4 EndRoot
x > –2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
x > 2; f Superscript negative 1 Baseline (x) = 2 minus StartRoot x + 4 EndRoot
x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
Answers
The domain at which the function f(x) = x² - 4•x + 2, and the inverse of the function, f(x), is given by the option;
x > 2; [tex] f^{-1}(x) = 2 + \sqrt{x + 2} [/tex]How can the inverse function and the domain of the inverse function be found?The given function is f(x) = x² - 4•x + 2.
The points through which the parabola passes are;
(0, 2)(2, -2), which is the vertex(4, 2)The inverse of the function is found as follows;
f(x) = x² - 4•x + 2
The standard form of a quadratic equation is f(x) = a•(x - h)² + k
Where;
(h, k) = The coordinates of the vertex
a = The coefficient of x²
Comparing, we have;
(h, k) = (2, -2)
a = 1
Which gives;
f(x) = x² - 4•x + 2 = (x - 2)² - 2
f(x) = (x - 2)² - 2
Let f(x) = y
y = (x - 2)² - 2
y + 2 = (x - 2)²
x - 2 = √(y + 2)
x = √(y + 2) + 2 = 2 + √(y + 2)
x = 2 + √(y + 2)
Therefore, f(x) has an inverse when y > -2, which gives;
The domain where f(x) has an inverse is x > 2, given that the expression, 2 + √(y + 2), is always positive.
The inverse of the function is obtained by changing x to [tex] f^{-1}(x) [/tex] and y to x in the equation, x = 2 + √(y + 2), to give;
[tex] f^{-1}(x) = \mathbf{2 + \sqrt{x + 2}} [/tex]The correct option is therefore;
x > 2, f superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
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Answer:
Its D.x > 2; f Superscript negative 1 Baseline (x) = 2 + StartRoot x + 2 EndRoot
Step-by-step explanation:
a pizza parlor can make 100 pizzas in an evening. they make 40 pepperoni pizzas and 60 extra cheese pizzas. they are producing each pizza at the lowest possible cost. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. this pizza parlor is what?
Answers
The pizza parlor is technically efficient, but its not allocatively or economically efficient because technically efficient if all supply is used, allocate is if desired demand is met.
What is meant by technically efficient?Technical efficiency is related to how productive a company can be given this same fewest inputs, as well as resources, required to complete a task.
An input would be any quantifiable resource required to produce an output, or product. Labor, materials, and equipment are all examples of inputs. Outputting cakes, for example, necessitates at least the mentioned inputs: bakers, ingredients, and ovens.What is meant by economically efficient?The concept of economic efficiency is related but distinct. Technical efficiency seeks to minimize inputs, whereas economic efficiency seeks to minimize costs, that might or might not necessitate fewer inputs.
In other words, the company wants to cut costs as much as possible even while meeting production targets. For instance, the bakery would perhaps purchase cheaper materials to lower costs without lower productivity.To know more about technical efficiency and economic efficiency, here
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The complete question is;
A pizza parlor can make 100 pizzas in an evening. They make 40 pepperoni pizzas and 60 extra cheese pizzas. 100 people order pizza, but 50 people would like a pepperoni pizza and 50 would like an extra cheese pizza. This pizza parlor is what?
Technically efficient
allocatively efficient
economically efficient
|−5| − (−9) I need help asap!!!
Answers
Answer:
14
Step-by-step explanation:
the absolute value function always gives a positive result , that is
| - a | = | a | = a
- (- ) = + given
| - 5 | - (- 9)
= 5 + 9
= 14
Answer:
14
Step-by-step explanation:
Be extremely careful with absolute values, parentheses, and subtraction.
[tex]\left|-5\right|-\left(-9\right)=\left|-5\right|+9\\\left|-5\right|+9\\\left|-5\right|=5\\5+9\\=14[/tex]
A rectangular box with a square base has a total surface area of 100cm^2. if x is the length of a side of the base, what is the volume of the box in terms if x?
Answers
The volume of the box in terms of x will be : [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]
We know, Total surface area of a cuboid is: 2(l*b + b*h + h*l)
and it is given that TSA is 100cm^2, the length of the base which is in a square shape is x. So, length l = breadth b = x, and taking height h = y
We need to find out the value of y for finding out the volume of the box.
Putting these values in the formula for TSA,
=> 2(x*x + x*y + x*y) = 100
=> 2(x^2 + 2xy) = 100 => y = (50-x^2)/2x
Put this value of y in the formula for volume.
The volume of Cuboid is : l*b*h
=> x*x*{(50-x^2)/2} => x^2{(50-x^2)/2x}
=> (50x - x^3)/2
Hence, the volume for the box is [tex]\frac{50x-x^{3} }{2} cm^{3}[/tex]
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The pearson correlation is calculated for a sample of n = 25 individuals. what value of df should be used to determine whether or not the correlation is significant?
Answers
The correlation is a significant non-zero value.
The number of samples is n.
n = 25
The correlation of the coefficient is r.
r = -0.40
When correlation is significant,
[tex]H _{0} : p = 0[/tex]
When correlation is non-zero,
[tex]H _{ \alpha } : p ≠0[/tex]
The test statistic is,
[tex]TS = \frac{r \times \sqrt{n - 2} }{ \sqrt{1 - r {}^{2} } } [/tex]
[tex] = \frac{0.4 \times \sqrt{25 - 2} }{ \sqrt{1 - ( - 0.4) ^{2} } } [/tex]
[tex] = \frac{ - 1.918 }{ \sqrt{0.84} } [/tex]
= -2.093
The test statistic is -2.093.
The correlation is,
[tex]H _{ \alpha } : - 2.93 ≠0[/tex]
The correlation is not equal to zero and is significant.
Therefore, the correlation is a significant non-zero value.
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work out the y^3 + 5y when y = 2
Answers
Step-by-step explanation:
y³ + 5y
2³ + 5 × 2
8 + 10
18...
Hi!
[tex]\diamondsuit[/tex] Plug in 2 for y:
[tex]\boldsymbol{2^3+5(2)}[/tex]
[tex]\diamondsuit[/tex] Cube 2 first:
[tex]\boldsymbol{8+5(2)}[/tex]
[tex]\diamondsuit[/tex] Multiply 5 times 2 next:
[tex]\boldsymbol{8+10}[/tex]
[tex]\diamondsuit[/tex] Add.
[tex]\boldsymbol{18}[/tex]
Therefore,
[tex]\stackrel{\heartsuit}{\boxed{\boxed{\boldsymbol{Answer:~~18}}}}[/tex]
Cheers!!I hope I helped, have an amazing rest of your day!
If you need any explanation or clarification - comment! :)
100(mod5) simplify it
Answers
Answer:
0
Step-by-step explanation:
Arianys wants to ride her bicyle 55.5 miles this week. she has already ridden 19 miles. if she rides 5 more days, which equation could be used to determine, m, the average number of miles she would have to ride to meet her goal?
Answers
Answer:4.6 miles for 5 days
Step-by-step explanation:
37 - 14 = 23
23 divided by 5 = 4.6
Answer:4.6 miles
Step-by-step explanation: she has already ridden 14 miles so 5 mroe days is 4.6 miles
T / 23 equals -9 solve for t
Answers
Answer:
-207
Step-by-step explanation:
t/23 = -9
Multiply both sides by 23 to cancel out the denominator.
23 * (t/23) = (-9) * 23
t = -207
a light is suspended at a height h above the floor. the illumination, i, at a point p is inversely proportional to the square of the distance, r, from the point p to the light and directly proportional to the cosine of the angle theta. assume k is the constant of proportionality. which of the following can be used to represent the illumination at point p? i
Answers
The light must be at a height of 7.07m from the floor for the maximum illumination at P.
How Distance is that?
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.Let I be the illumination at P then according to given conditions,
I = k cosθ/r²
Where k is constant of proportionality: since
r² = h² + 10²
cosθ = [tex]\frac{h}{\sqrt{h^{2} + 10^{2} } }[/tex]
then
I = k [tex]\frac{h}{( h^{2} + 100)^{3/2} }[/tex]
on differentiating
[tex]\frac{dI}{dh} = k \frac{h^{2} + 100)^{3/2} - 3h^{2 ( h^{2} + 100)^{1/2} } }{( h^{2} + 100)^{3} }[/tex]
[tex]= k \frac{( 100 - 2h^{2}) }{( h^{2} + 100)^{5/2} }[/tex]
[tex]\frac{dI}{dh} = 0[/tex]
gives
that is
h = √50 = 7.07
now
[tex]\frac{d^{2I} }{dh^{2} } = k \frac{( 6h^{3} - 900h }{( h^{2} +100)^{7/2} }[/tex]
for h = 7.07
[tex]\frac{d^{2}I }{dh^{2} } = - 10267.6[/tex]
then by second derivative test,I has a maximum ath=7.07
Hence the light must be at a height of 7.07m from the floor for the maximum illumination at P.
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If i have 608 employees and the total salary is $39,086,197.48; what is the average salary of employees?
Answers
Answer:
$64,286.51
Step-by-step explanation:
This is the arithmetic mean, and is calculated by adding a group of numbers and then dividing by the count of those numbers. In this case, you have the total number of employees and the total salary.
39,086,197.48 ÷ 608 = 64286.5090132
You would then round up.
The cost to reserve a banquet hall is $500. The catering cost per guest is $17.50 for the first 40 guests and $14.75 for each additional guest.
a. Write a piecewise function describing the cost C
of the reunion.
b. Use a graphing calculator to graph the function
Answers
The piecewise function describing the cost C of the reunion are C(x) = 500 + 17.5x, where x <= 40 and C(x) = 1200 + 14.75(x - 40), where x > 40
Write a piecewise function describing the cost C of the reunion.The given parameters are:
Reserve = $500
Cost per guest = $17.50 for the first 40 guests
Cost per guest = $14.75 for each additional guest
The above means that
C(x) = 500 + 17.5x, where x <= 40
C(x) = 500 + 17.5 * 40 + 14.75(x - 40), where x > 40
Next, we evaluate the functions
This gives
C(x) = 500 + 17.5x, where x <= 40
C(x) = 1200 + 14.75(x - 40), where x > 40
Use a graphing calculator to graph the functionTo do this, we simply plot each function with its domain
See attachment for the graph of the piecewise functions
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i dont now this so can someone help me pls
Answers
Answer:
Step-by-step explanation: i bet your ray r stands for g
6/7 x 2 2/14 please answer my question and tell me how to get the answer
Answers
Answer:
90/49
Step-by-step explanation:
you want to convert 2 2/14 into 30/14 (2 x 14 is 28, 28 + 2=30)
reduce 30/14 into 15/7 by dividing by 2
multiply 6 x 15 and 7 x 7
90/49 is the answer and you cannot reduce it so that's the answer
Write an equation of the line satisfying the given conditions. the line passes through (25,24)(25,24) and is perpendicular to y=6y=6.
Answers
The equation of the line is x = 25, in accordance with the given conditions.
What is the equation of a line?It is a first-order equation with the variables x and y. The coordinates of the point on the line shown in the coordinate plane are represented by the values of x and y.Given:
Line passes through (25,24)Line is perpendicular to y =6.To find: Equation of the line.
Finding:
Let the equation of the line be: (y - y') = m (x - x'),
where, (x',y') = point through which the line passes and m = slope of the line.
Since the given line is perpendicular to y = 6; the slope of this line = 0.The slope of the first line = [tex]\frac{1}{0}[/tex] , i.e., the y-intercept of this line does not exist and it is a vertical line.
Hence, the equation of the line is 0 = 1 (x - x')
Since the line passes through (25,24), x' = 25Thus, the equation of the line => 0 = 1 (x - 25)
=> x = 25.
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Square root of 750 ..?
Answers
Answer: 27.3861278753
Step-by-step explanation:
√750 = 27.3861278753
someone pls help asap thank u so much
Answers
Answer: $16.67
Step-by-step explanation:
8% of $48 = 16.67
The first one would be $ 3.59
Explanation- 15% of 23.95 = 3.5925
Rounded off to max. 2 decimal places:
Percentage of
15% of 23.95 ≈ 3.59
The equation for line c can be written as y= – 3/7x+4. Perpendicular to line c is line d, which passes through the point (2,4). What is the equation of line d?
Answers
Answer: [tex]\text{y} = \frac{7}{3}\text{x}-\frac{2}{3}[/tex]
This is the same as writing y = (7/3)x - 2/3
=======================================================
Explanation:
The given equation is in y = mx+b form
m = -3/7 = slope
b = 4 = y intercept
Flip the fraction for the slope to get -7/3, and flip the sign from negative to positive to get 7/3
The original slope is -3/7 and the perpendicular slope is 7/3. These two slopes multiply to -1.
We want the perpendicular line to go through [tex](\text{x}_1,\text{y}_1) = (2,4)\\\\[/tex]
We'll use the point-slope form to get...
[tex]\text{y} - \text{y}_1 = \text{m}(\text{x}-\text{x}_1)\\\\\text{y} - 4 = \frac{7}{3}(\text{x}-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}+\frac{7}{3}(-2)\\\\\text{y} - 4 = \frac{7}{3}\text{x}-\frac{14}{3}\\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ 4 \\\\\text{y} = \frac{7}{3}\text{x}-\frac{14}{3}+ \frac{12}{3} \\\\\text{y} = \frac{7}{3}\text{x}+\frac{-14+12}{3} \\\\\text{y} = \frac{7}{3}\text{x}-\frac{2}{3} \\\\[/tex]
This equation has a slope of 7/3 and y intercept of -2/3.
1. What is the slope of the line that passes through the given points? (1
(2, 12) and (6, 11)
0-11
4
4
04
04
Answers
Answer:
Step-by-step explanation:
The slope of the line that passes through the given points (2, 12) and (6, 11) is -1/4.
OURSE
4. Which statement is false? (1 point)
Every integer is a real number.
Every real number is a rational number.
Every positive rational number has a square root.
Every integer is a rational number.
Answers
Answer:
Every positive rational number has a square root.
Step-by-step explanation:
this is not true because there are prime numbers
If f(x) = 4x20, what is f(4)?
Answers
Answer:
320
Step-by-step explanation:
Plug the 4 into x and go from left to right:
4 times 4 is 16 times 20 is 320
here are points A and B Plot the points for each dilation described
Answers
Answer:
No one can answer this
Step-by-step explanation:
You need to add a picture or something because we need more information. This could be a graph, a number line, etc.
Answer:
(Image 1)
d(A,C)=10d(C,B)=8
d(A,B)=d(A,C)+d(C,B)=10+8=18
(Image 2)
AB=AC−BC
=10−8=2
Step-by-step explanation:
Given an Algebraic Expression: 8x³y - 11x²y² + xy³ +17.
1.1. What is the name of the algebraic expression?
Answers
Answer: The name of the algebraic expression is polynomial.
Step-by-step explanation: An algebraic expression in mathematics is an expression which is made up of variables and constants, along with algebraic operations .
A binomial expression is an algebraic expression which is having two terms, which are unlike. Examples of binomial include 5xy + 8.
similarly;
algebraic expression which is having only one term is known as a monomial. example: 5x,10y.
an expression with more than one term with non-negative integral exponents of a variable is known as a polynomial.
example: 8x³y - 11x²y² + xy³ +17.
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Answer:
Step-by-step explanation: algebric expression of degree4.