[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\qquad \tt \rightarrow \: y= - \cfrac{x}{ 3} + 1 [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
Equation of line (two point form) :
[tex]\qquad \tt \rightarrow \: (y - y_1) = \cfrac{y _1- y_2}{ x_1 - x_2} (x - x_1)[/tex]
[tex]\qquad \tt \rightarrow \: (y - 2) = \cfrac{2 - ( - 1)}{ - 3 - 6} (x - ( - 3))[/tex]
[tex]\qquad \tt \rightarrow \: (y - 2) = \cfrac{2 + 1}{ - 9} (x + 3)[/tex]
[tex]\qquad \tt \rightarrow \: (y - 2) = - \cfrac{3}{ 9} (x + 3)[/tex]
[tex]\qquad \tt \rightarrow \: (y - 2) = - \cfrac{1}{ 3} (x + 3)[/tex]
[tex]\qquad \tt \rightarrow \: y - 2= - \cfrac{x}{ 3} - \cfrac{3}{3} [/tex]
[tex]\qquad \tt \rightarrow \: y = - \cfrac{x}{ 3} - 1 \cfrac{}{} + 2[/tex]
[tex]\qquad \tt \rightarrow \: y = - \cfrac{x}{ 3} + 1[/tex]
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
What is the factored form of the following expressions?
x2 – 10xy + 24y2
Answer:
(x-6y)(x-4y)
Step-by-step explanation:
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]
_____________________
PLEASE HELP
using the data that was collected,
determine the experimental probability of each outcome of
the die over the course of three games and write as a fraction, decimal, and percentage.
When the dice is rolled 14 times then from the given data the probability of 1,2,3,4,5,6 is 3/14,1/14,4/14,1/14,3/14,2,14.
Given Roll of dice and outcomes from 1 to 14 is 1,3,5,4,5,3,3,1,3,5,6,1,6,2.
From the given collected data we can find out number of times each number came when the dice is rolled.
Number of times 1 came=3
Number of times 2 came=1
Number of times 3 came=4
Number of times 4 came=1
Number of times 5 came=3
Number of times 6 came=2
The probabilities are in fraction form:
P(1)=3/14
P(2)=1/14
P(3)=4/14
P(4)=1/14
P(5)=3/14
P(6)=2/14
The probabilities in decimal form:
P(1)=0.21
P(2)=0.07
P(3)=0.28
P(4)=0.07
P(5)=0.21
P(6)=0.14
The probabilities in percentage:
P(1)=21%
P(2)=7%
P(3)=28%
P(4)=7%
P(5)=21%
P(6)=14%
Hence the probabilities are 3/14,1/14,4/14,1/14,3/14,2,14.
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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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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:
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
Use the grouping method to factor x³ + x² + 3x+3.
A. (x²+1)(x+3)
B. x(x+3)(x + 1)
C. (x + 1)(x+3)
D. (x + 1)(x2+3)
Answer:
D. [tex](x + 1)(x^2 + 3)[/tex]
Step-by-step explanation:
Hello!
We can group the first two terms and the last two terms.
Factor by Grouping[tex]x^2 + x^2 + 3x + 3[/tex][tex]x^2(x + 1) + 3(x + 1)[/tex][tex](x^2 + 3)(x + 1)[/tex]Factoring by grouping is the process of breaking down larger polynomials to smaller ones to factor. We can then combine like factors.
In the second step, we can see that we can rewrite [tex]x^3 + x^2[/tex] as [tex]x^2(x + 1)[/tex], as both the two terms share a common factor of [tex]x^2[/tex]. We can pull out [tex]x^2[/tex] from that expression. Similarly, [tex]3x[/tex] and [tex]3[/tex] share a common factor of [tex]3[/tex], so we can pull that out.
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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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]
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]
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)
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:
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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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.
Explain how the angle-angle-side congruence theorem is
an extension of the angle-side-angle congruence
theorem. Be sure to discuss the information you would
need for each theorem.
These thoughts show you that AAS theorem is straight extension of ASA theorem.
What is Triangle?A triangle is a simple polygon with 3 sides and 3 interior angles. It is one of the basic shapes in geometry in which the 3 vertices are joined with each other and it is denoted by the symbol △. There are various types of triangles that are classified on the basis of the sides and angles.
ASA congruence theorem: If two angles and the included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
AAS congruence theorem: If two angles and the non-included side of one triangle are equal to the corresponding angles and side of another triangle, the triangles are congruent.
Consider two triangles ΔABC and ΔA'B'C' .
If m∠A = m∠A'
and m∠B = m∠B'
AB = A'B'
then two triangles ΔABC and ΔA'B'C' are congruent by AAS theorem.
Thus, these thoughts show you that AAS theorem is straight extension of ASA theorem.
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Answer: The Sample Response is the answer Edge uses as a correct answer. Answer varies depending on your response.
Step-by-step explanation:
This answer is correct I got it right on Edge 2022. The proof is down below.
Sample Response: The interior angle measures of a triangle add up to 180 degrees. Thus, if you are given angle-angle-side, you can solve for the third angle measure and essentially have angle-side-angle because the given side will now be the included side.
As long as you explain and include these in your answer it should be correct: (If you decide to answer using your own words)
The interior angles sum to 180 degrees.Solve for the third or unknown angle. The given side becomes the included side.
Hope this helps someone. Good luck! :)
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 h(1) if h(x)=4x2 +3x - 2
Answer:
[tex]h(1) = 4 \times 2 + 3 \times 1 - 2 \\ = 9[/tex]
Required school supplies include 6 spiral notebooks and 2 binders. If the notebooks cost 90 cents and the binders cost $4.77, how much will you spend?
A. $22.85
B. $14.94
C. $15
D. $30
Answer:
Hey, You don't need to buy supplies. Just use your at home!
Step-by-step explanation:
Brainlest?
Answer: Algebra: 3 sub. spiral notebook, pencil pouch to hold colored pencils and ... Algebra 2: 2 or 3 subject spiral notebook (can use folder instead of binder).
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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Fraction
4 5/6 -2 2/7 - 1 3/14
Answer:
1.3 or 1.333333
Step-by-step explanation:
Just do it!
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:
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
What is the value of 5x+3 when x=4?
9
12
23
60
Answer:
23
Step-by-step explanation:
substitute x = 4 into the expression
5x + 3 = 5(4) + 3 = 20 + 3 = 23
Hii!
____________________________________________________________
Answer:
The value is 23 - Choice [C] ✅
Step-by-step explanation:
STICK IN the value of x.
5x+3
5·4+3
MULTIPLY 5·4
20+3
ADD
23
--
Hope that this helped! Best wishes.
--
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
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
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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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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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 .
the interest paid for borrowing qn amount of money for 3yrs at the rate of 4%is n108 find the amount of the money borrowed
The amount of the money borrowed is 864.941
So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x where r is the growth rate (interest rate)
So the equation can be written as
m=(1.04)^t
Where m represents the amount of money over time, P represents the principal amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount
[tex]I=P(1.04)^t-P[/tex] where I represent the interest paid.
plug the values into the equation
[tex]108=P(1.04)^3-P\\P=864.941[/tex]
Therefore the amount of the money borrowed is 864.941.
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