Range is the set of all values which the given function can output. The correct option is A.
What is domain and range of a function?Domain is the set of values for which the given function is defined.Range is the set of all values which the given function can output.Since y is the output for the given function, and the only outputs that can be seen for the function are 0, 2, and 4. Therefore, the range of the function is {0,2,4}.
Hence, the correct option is A.
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There are 20 teachers and 705 students in Corey's school.
What is the ratio of teachers to students?
A. 725:20
B. 705:20
C. 20:725
D. 20:795
Answer:
all the options are incorrect
Given - 20 teachers
- 705 students
To find - ratio of teachers to students
20/705
20 : 705 .
Step 3: Now multiply the values to get 14,918,904,000. That is almost
15 billion passwords.
That is a lot of passwords! How many passwords would the website
have if users were allowed to reuse the letters and numbers? (Enter
the number of successful outcomes in each of the blanks below.
2
The number of passwords that would be allowed if users were allowed to reuse the letters and numbers is 30891577600
How to determine the number of passwordsThe given parameters are:
Password length = 8
Letters = 6
Numbers = 2
There are 26 letters and 10 digits.
Since the letters and the numbers can be repeated, then the number of passwords is:
Count = 26^6 * 10^2
Evaluate
Count = 30891577600
Hence, the number of passwords is 30891577600
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A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.
Use the information in the table to find the constant of proportionality and write the equation.
The constant of proportionality is
.
The equation that represents this proportional relationship is
The equation will be a linear equation from (2, 5) to (4, 10) will be y = 2.5x.
What is a function?Mathematics is replete with functions, which are necessary for the construction of intricate connections.
A 2-column table with 3 rows. Column 1 is labeled x with entries 2, 4, 5. Column 2 is labeled y with entries 5, 10, 12.5.
Use the information in the table to find the constant of proportionality and write the equation.
The equation will be a linear equation from (2, 5) to (4, 10) will be
(y – 5) = [(10 – 5) / (4 – 2)] (x – 2)
y – 5 = 2.5x – 5
y = 2.5x
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Answer:
2.5 and y=2.5x
Step-by-step explanation: i got that question on an edguenity assignment
please help fast grade 5 math extra points to those who explain and giving brainliest
Answer:
[tex]\frac{45}{7}[/tex]
Step-by-step explanation:
9 is the same as [tex]\frac{9}{1}[/tex]
∴ 9 ˣ [tex]\frac{5}{7}[/tex]
= [tex]\frac{9}{1}[/tex] ˣ [tex]\frac{5}{7}[/tex]
To multiply two fractions, just multiply their numerators together and their denominators together.
9 x 5 = 45
1 x 7 = 7
∴ [tex]\frac{9}{1}[/tex] ˣ [tex]\frac{5}{7}[/tex]
= [tex]\frac{45}{7}[/tex]
Write an equation for the linear function f with the given values
Question number 8
Answer:
5. y = 2/3x + 1
8. y = 4/7x - 4
Step-by-step explanation:
5. (-6, -3) and (6, 5)
You can use the slope formula which is (y2-y1)/(x2-x1) to find the slope and plug it back into the slope-intercept form to find the y-intercept
(5-(-3)) / (6-(-6)) = 8 / 12 = 2/3
slope-intercept form: y=mx+b where m is the slope and b is the y-intercept
to find b you can plug in one of the coordinates and the slope
5 = 6(2/3) + b
5 = 4 + b
1 = b
y = 2/3x + 1
8. (-7, -8), (21, 8)
m = (8 - (-8)) / (21 - (-7)) = 16 / 28 = 4/7
plug in one of the coordinates and the slope to find b or the y-intercept
8 = 21(4/7) + b
8 = 12 + b
-4 = b
y = 4/7x - 4
Can someone help me out with this, it’s urgent. It’s geometry
The constructed bisector of line segment given below in the image.
Process to construct the bisector of a line segment :
Step 1 : Make the compass length ( the distance between the pointed leg and the pencil leg) slightly greater than half the length of the line segment OP. Place the point of the compass on O. Make arcs above and below the line segment OP.
Step 2 : Using the same compass length as same as the previous one, place the point of the compass on P. Make arcs above and below line segment OP. These arcs must intersect the arcs made in previous step.
Step 3 : Connect the points where the arcs intersect. Label the line segment MN and the point where the line intersects OP, Q.
Step 4 : Line segment MN bisects line segment OP at midpoint Q.
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Solve x/3 = x+2/2. X=
Answer:
I will assume that the term "x+2/2" is meant to be "(x + 2)/2)." Otherwise the equation would read (x/3) = x + 1
Step-by-step explanation:
(x/3) = (x + 2)/2
x = 3*(x+2)/2 [Multiply both sides by 3]
x = (3x + 6)/2
x = (3/2)x + 6/2
x - (3/2)x = 3
-0.5x = 3
x = -6
====================
Check:
Does (x/3) = (x + 2)/2 for x = -6?
(-6/3) = (-6 + 2)/2
-2 = -4/2
-2 = -2 YES
What is the factored form of the following expressions?
x2 – 10xy + 24y2
Answer:
(x-6y)(x-4y)
Step-by-step explanation:
Fraction
4 5/6 -2 2/7 - 1 3/14
Answer:
1.3 or 1.333333
Step-by-step explanation:
Just do it!
PLEASE HURRY I NEED TO FINISH
Answer: No
Step-by-step explanation:
A proportional relationship can be represented by y = kx, for some constant k. This means the graph should be a line, which is not shown. Thus, the graph does not represent a proportional relationship.
Answer:
no
Step-by-step explanation:
because it does not represent any propotional relationship.
Find h(1) if h(x)=4x2 +3x - 2
Answer:
[tex]h(1) = 4 \times 2 + 3 \times 1 - 2 \\ = 9[/tex]
find the range for the given domain: {-3,-1 and 3} and the function is y=3x^2-2x+1.
Answer:
D
Step-by-step explanation:
The domain are the x values. When you plug those values into the equation, you get 34, 6, 22.
3(-3²) - 2(-3) + 1 Negative * Negative = Positive
3(9) + 6 + 1
34
3(-1²) - 2(-1) + 1
3 + 2 +1
6
3(3²) -2(3) + 1
3(9) - 6 + 1
22
Solve for x (12x-7)/4=(5x+18)/3
Answer:
x = 5.81
Step-by-step explanation:
3(12x-7) = 4(5x+18)
36x-21 = 20x +72
16x = 93
x = 5.81
Answer both 2 and 3 please
2.
1 day = 24h
1h = 60min
We have 4h 20min
[tex]4h + 20min = 4h+\dfrac{20}{60}h=4h+\dfrac{1}{3}h=4\dfrac{1}{3}h=\dfrac{13}{3}h[/tex]
[tex]\dfrac{\frac{13}{3}}{24}=\dfrac{13}{3}\cdot\dfrac{1}{24}\\\\\huge\boxed{(D)\ \dfrac{13}{72}}[/tex]
3.
6:51PM + 9min → 7:00PM
7:00PM + 27min → 7:27PM
9min + 27min = 36min
[tex]36min=\dfrac{36}{60}h=\dfrac{3}{5}h[/tex]
[tex]\huge\boxed{(C)\ \dfrac{3}{5}}[/tex]
PLSS HELP ME PLSSS
a) Write 2 expressions for the area of the shaded region. (2 marks)
b) Find the length of the shaded region if the perimeter is 48cm. (2 marks)
c) Find the area of the shaded region if perimeter is 48cm. (1 mark)
Answer:
(1) 85×9=765 (2) 127×3=381
Are the equations -11(x-2)=8 and x-2=8+11 equivalent?
No, the equations -11(x - 2) = 8 and x - 2 = 8 + 11 are not equivalent.
What is an equivalent expression?The equivalent is the expressions that are in different forms but are equal to the same value.
Then the equation is given below.
-11(x - 2) = 8
By simplifying, we have
x - 2 = - 8 / 11
No, the equations -11(x - 2) = 8 and x - 2 = 8 + 11 are not equivalent.
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Find the average rate of change of f(x) = -3x² + 1 over each of the following intervals.
(a) From 2 to 4
(b) From -2 to 0
(c) From 2 to 5
The average rate of change of f(x) = -3x² + 1 over each of the given intervals are; -18, 6 nd 38
How to find the average rate of change?We are given the function;
f(x) = -3x² + 1
(a) From 2 to 4;
f(2) = -3(2)² + 1
f(2) = -12 + 1
f(2) = -11 (2, -11)
f(4) = -3(4)² + 1
f(4) = -47 (4, -47)
Slope = (-47 - (-11))/(4 - 2)
Slope = -36/2
Slope = -18
(B) From -2 to 0;
f(-2) = -3(-2)² + 1
f(2) = -12 + 1
f(2) = -11 (-2, -11)
f(4) = -3(0)² + 1
f(4) = 1 (0, 1)
Slope = (1 - (-11))/(0 - (-2))
Slope = 12/2
Slope = 6
(C) From 2 to 5;
f(2) = -3(2)² + 1
f(2) = -12 + 1
f(2) = -11 (2, -11)
f(5) = -3(5)² + 1
f(5) = -74 (0, -74)
Slope = ((-74) - 2)/(0 - 2)
Slope = -76/-2
Slope = 38
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What is the value of 8+ h² when h = 3?
Answer:
17
Step-by-step explanation:
8 + h^2
Let h = 3
8 + 3^2
We find the value of 3^2 first using PEMDAS
8 + 9
Then add
17
The result is 17
Solution: 17
Detailed explanation:
[tex]\circ[/tex] Stick in the value of h, which we're provided with (3)
[tex]--\mapsto\boldsymbol{8+(3)^2}[/tex] *
*Be careful here! Here it's very easy to make a mistake, if you aren't familiar with the Order of Operations. The Order of Operations is shown below [tex]\swarrow[/tex]
P=Parentheses
This operation tells us to perform the operations in the parentheses first.
E=Exponents
This one tells us to evaluate all exponents, if any are present.
M=Multiplication | D=Division
These two are completely interchangeable; you can perform Multiplication first and then division, or the other way around.
A=Addition | S=Subtraction
Like the two operations above, A and S are also completely interchangeable.
________________________________________________________
________________________________________________________
Using the information above, let's evaluate (find the value of) the expression [tex]8+h^2[/tex].
We stick in the value of h, 3
[tex]\pmb{8+3^2}[/tex] is what we obtain
Here we see that exponents are present (3^2) so we'll evaluate that first, as P.E.M.D.A.S. tells us to do.
[tex]\pmb{8+9}[/tex] (3^2=3*3)
And Now we just need to add the numbers
[tex]\boldsymbol{17}[/tex]
Voila! There's our answer!
Cheers!! ^-^_____________________
Hope I helped. Best wishes.
Reach far. Aim high. Dream big.
[tex]\cal ReFlEcTioN[/tex]
_____________________
graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?
O(-2,-3)
O (3, 1)
O (1,3)
(3,2)
Answer:
Coordinates follow (x,y) so to find a solution to the line you want to find a point in (x,y) form which is on the line.
This means (1,3) is a solution because at x=1 and y=3 it is on the line.
C | (1,3)
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
The domain of the function f(x) = 3x3 is {2, 5}. What is the function’s range?
The range of the function f(x) = 3x3 when its domain is {2, 5} is
The range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}
Domain and range of a functionThe domain is the independent value for which a function exists.
Given the function below;
f(x) = 3x^3
If the domain of the function is {2, 5}, the range are;
If x = 2
f(2) = 3(2)^3
f(2) = 3(8)
f(2) = 24
If x = 5
f(5) = 3(5)^3
f(5) = 3(125)
f(5) = 375
Hence the range of the function f(x) = 3x3 when its domain is {2, 5} is {24, 375}
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The slope of a line perpendicular to the line containing (0,3)and (-2,0) is: The slope of a line perpendicular to the line containing ( 0,3 ) and ( -2,0 ) is :
Answer:
Step-by-step explanation:
what i the solution to this equation
6 (x - 5) = 4x + 20
6 (x - 5) = 4x + 20
6x - 30 = 4x + 20
6x - 4x = 20 + 30
2x = 50
[tex]x = \frac{50}{2} [/tex]
x = 25
Answer: The value of x = 25 ✅
Step-by-step explanation:
Hii! Do you need to know the solution to the equation [tex]\boldsymbol{6(x-5)=4x+20}[/tex]? No problem! (:
Solving EquationsIn any equation, there's a variable that we need to solve for. Here the variable is "x".
So now let's solve for x...
[tex]\twoheadrightarrow\sf 6(x-5)=4x+20[/tex]
[tex]\bullet[/tex] "distribute" 6
[tex]\twoheadrightarrow\sf 6x-30=4x+20[/tex]
[tex]\bullet[/tex] subtract "4x" from both sides
[tex]\twoheadrightarrow\sf 2x-30=20[/tex]
[tex]\bullet[/tex] add "30" to both sides
[tex]\twoheadrightarrow\sf 2x=50[/tex]
[tex]\bullet[/tex] divide both sides by "2"
[tex]\twoheadrightarrow\sf x=25\;\;\;[/tex] ✅
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Hope that this helped! Best wishes.
[tex]\it Reach\;far.\;Aim\;high.\;Dream\;big.[/tex]
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[tex]\bigstar\underbrace[/tex]
Question 3
In Question 1, what do you notice about the x-coordinates before and after a horizontal stretch? What do you notice about the y-coordinates
before and after a vertical stretch? Express your answer in terms of Nx and Ny
The y coordinates doesn't change under a horizontal stretch while the x coordinates do not change under a vertical stretch.
How to depict the coordinate?It should be noted that coordinates are vital in determine the position of an object or points.
In this case, the y coordinates doesn't change under a horizontal stretch while the x coordinates do not change under a vertical stretch.
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Answer:
The y-coordinates do not change under a horizontal stretch. The x-coordinates do not change under a vertical stretch.
Step-by-step explanation:
A car garage fits 17 rows of 30 cars on each of the 3 floors. How many cars are there if the car park is full?
Answer:
1,530
Step-by-step explanation:
What is the equation of the quadratic function shown in the graph?
Answer: f(x) = -2 (x+3) (x-1)
Step-by-step explanation: See Attachment
Which graph represents the function f(x) = 3x-2/X-2
Answer:
Step-by-step explanation:
find the smallest 4 digit number which is exactly divisible by 72 and 108
with explaination
The smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
The Least common multiple of both the numbers 72 and 108 is 216. Since 216 is the least common multiple of both the numbers. Therefore, the four-digit number needs to be a multiple of 216 to be divisible by both the numbers. Thus, when 216 is multiplied by 5 the result is 1080, which is divisible by both 72 and 108. Hence, the smallest 4-digit number which is exactly divisible by 72 and 108 is 1080.
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What is the slope of this line? 4 34 −34 −3 Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 4 comma negative 1 end ordered pair
The required slope of the line given by m = -3/4.
The slope of the given y = -3/4x+2 is m, the line passes from (0, 2) and (4, -1)
A line can be defined by a shortest distance between two points is called as a line.
equation of the given line is |
y =[tex]\frac{-3}{4}[/tex]x + 2
slope of the given line is given by comparing it to standard equation
y = mx + c
by comparing
m= -3/4
Which required slope of the line.
Since we have two points on line begin or end point (0, 2) and (4, -1) respectively. This satisfies the equation while putting it into the equation.
Thus the required slope of line y =[tex]\frac{-3}{4}[/tex]x + 2is given by m= -3/4 , This line passes through points (0, 2) and (4, -1).
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What is the scale factor of a drawing if the scale is 1 inch equals 4 feet
Answer:
the scale factor of a drawing=1:4
Given the image below DY EY FY are perpendicular bisectors of triangle ABC
The value of FY in the triangle will be 30.11
How to calculate the value?From the information given, the value of BE will be:
= [tex]\sqrt{64.2}[/tex]² - [tex]\sqrt{51.2}[/tex]²
= 38.7
From the triangle, DY will be
= [tex]\sqrt{64.22}[/tex]² - [tex]\sqrt{61.7}[/tex]²
= 17.7
AY will be:
= [tex]\sqrt{61.7}[/tex]² + [tex]\sqrt{17.7}[/tex]²
= 64.2
FY will now be:
= [tex]\sqrt{64.2 - 56.7}[/tex]²
= 30.11
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