Answers
Answer:
[tex]y=\frac{1}{6}x+\frac{2}{3}[/tex]
Step-by-step explanation:
(8,2) (2,1)
First, you will need to find the gradient (or the m value in [tex]y=mx+b[/tex])
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
y2=1
y1=2
x2=2
x1=8
Now we can plug in these values to get the m value.
[tex]m=\frac{1-2}{2-8}[/tex]
Because the numerator and the denoinator will be negative, we needed to divide them to get a positive fraction.
[tex]m=\frac{-1}{-6} \\m=\frac{1}{6}[/tex]
Now we need to find the line of the equation using the following equation:
[tex]y-y1=m(x-x1)[/tex]
Now plug in the values using x1 and y1.
[tex]y-2=\frac{1}{6} (x-8)[/tex]
We can use the distributive property to distribute the [tex]\frac{1}{6}[/tex].
[tex]y-2=\frac{1}{6}x-\frac{4}{3}[/tex]
Lastly, we can add 2 to both sides to cancel out the -2 on the left to give us our equation.
[tex]y=\frac{1}{6}x+\frac{2}{3}[/tex]
Related Questions
What is the solution to the system of linear equations?
O (-3,0)
O (-3, 3)
O (0, 2)
O (3, 1)
Answers
The solution would just be where these two functions cross, which is at the point (0,2) in this case.
The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Linear equation represents a line on the graph.
The system of linear equations represents couple/s of linear equations or lines.
Here, The solution of system of linear equations means the common point satisfying the different linear equations.
Hence, Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.
So, the point of intersection from the given graph is (0,2).
Therefore, the solution of linear equations given in the graph is (0,2).
Learn more about the mathematical expression visit:
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The circumference of a circle is 15 units. How many units long is its diameter?
Answers
Answer:
diameter = 4.78 units
Step-by-step explanation:
15/3.14 = 4.78 units
can u pls and this question
Answers
Answer:
C,32
Step-by-step explanation:
first do the brackets
(-4)*-8
negative cancelled by negative
then we get 32
The chief guest was scheduled to arrive at 10: 30 am. He came late by 1 hr 20
mins. At what time did he arrive?
Answers
Step-by-step explanation:
the chef came at 11:50 pm/am hope this helps
10:30 + 1 h 20 mins — 11:50
He arrived at 11:50.
The cost of renting a truck is $40. An additional $0.79 is charged for each mile, m, the truck is driven.
Which expression can be used to determine the total cost, in dollars, of renting a truck?
Answers
Answer:
B
Step-by-step explanation: its 0.79 for EACH mile so ur variable would go with this number, next it says the truck is $40 for you add $40 to it so ur equation should be 0.79m+40
A giant panda lives in the Washington, DC zoo. Another panda weighs 90 kilograms and is 110 months old. List the point that corresponds to this panda in the coordinate plane shown.
6th grade math pls help
Answers
Answer:
The point represents a 36 months old Panda whose weight is 82kg
Step-by-step explanation:
Given
See attachment for plane
Required
What does the point shown represent
The point is: (36,82)
Age is plotted on the x-axis and weight on the y-axis:
This means that:
[tex]Age= 36\ months[/tex]
[tex]Weight = 82\ kg[/tex]
So, the point represents a 36 months old Panda whose weight is 82kg
Answer:
yes
Step-by-step explanation:
what is the answer of 2+y=11
Answers
Answer:
9
Step-by-step explanation:
11 - 2 = 9
Answer: 9
Step-by-step explanation:
Minus 2 from both sides to make it equal.
2 + y = 11-2 -2y = 9Miguel and Kat are reading the same book. Miguel reads 5 times as many
pages of the book as Kat. Together they read 54 pages. Write an equation
that can be used to find how many pages Kat read.
Answers
Answer:
[tex]k=\dfrac{m}{5}[/tex]
Step-by-step explanation:
Let Kat reads k pages of the book.
Miguel reads 5 times as many pages of the book as Kat. So,
m = 5k ...(1)
Together they read 54 pages. i.e.
m+k = 54 ...(2)
From equation (1),
[tex]k=\dfrac{m}5{}[/tex]
Hence, the equation that can be used to find how many pages Kat read is equal to [tex]\dfrac{m}{5}[/tex].
The table shows the linear relationship between the
number of ride tickets purchased and the total cost
for admission plus ride tickets at a carnival.
Which function can be used to find y, the total cost of
attending the carnival and purchasing x ride tickets?
Carnival Costs
A y = 25x + 8
Number of Ride
Tickets Purchased, x
Total Cost for
Admission plus Ride
Tickets, y
By = 8x + 25
o
$8
y = 8x +0.25
8
$10
16
$12
Dy = 0.25x + 8
24
$14
18-34
3
3
Answers
Answer:
C
Step-by-step explanation:
Y=8x + 0.25
♡ The Question/Task ♡
-Which function can be used to find y, the total cost of attending the carnival and purchasing x ride tickets?
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Answer ♡
-I believe the answer should be, y = 0.25x + 8!
I apologize in advance if this is incorrect! ♡
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ The Explanation/Step-By-Step ♡
-No Explanation/Step-By-Step Provided!
*୨୧ ┈┈┈┈┈┈┈┈┈┈┈┈ ୨୧*
♡ Tips ♡
-No Tips Provided!
25h + 25 = c 15h + 40 = c
Answers
Answer:
c= 125/2
h= 3 /2
Step-by-step explanation:
divide the monomial by the given monomial. (by give process)
24x^3 ÷ 14x^2
Answers
Step-by-step explanation:
24x³ ÷ 14x²
= 2 × 2 × 2 × 3 × x × x × x / 7 × 2 × x × x
= (2 × x × x) ( 2 × 2 × 3 × x) / (2 × x × x) x 7
= 12x / 7
Domain and range and function.
Need ASAP
Answers
Answer:
Domain: [tex]All \ real\ numbers[/tex]
Range: [tex]y\geq -5[/tex]
Function: [tex]|x|-5=y[/tex]
Step-by-step explanation:
The domain of this function is all real numbers, this is because any real number can be substituted into this function to produce a real output.
The range of this function is ([tex]y\geq -5[/tex]), this is because all outputs are greater than (-5), rather (-5) is the lowest output that one can have.
The function is [tex]|x|-5=y[/tex]. As one can see, the function as the shape of an absolute value function, the v-shape composed of two ([tex]y=x[/tex]) lines facing opposite directions. The graph has been shifted downwards by (5) units, one can see this because of the vertex formed by the two intersecting lines.
Please help find z (use pic)
Answers
Answer:
i cant see it will you type it please!
Terri is trying to save $250 so she can buy a new surfboard . She has \$75 saved already and plans to save $45 per week . How many weeks will it take her to save up enough money to purchase a new surfboard ?
Answers
175 = 45w
w = 3.88888
So 4 weeks is your answer. LMK if you have questions.
A football team needs to have at least 11 players. Only 4 people have signed up to play on
the Flying Squirrels football team so far.
Let x represent how many more people need to sign up. Which inequality describes the
problem?
4 + x 2 11
4 + x > 11
Solve the inequality. Then, complete the sentence to describe the solution.
At least
more people need to sign up.
Submit
Work it out
Not feeling ready yet? This can help:
Answers
Answer:
x ≥ 7
At least 7 more people need to sign up.
Step-by-step explanation:
We need to have at least 11, so the number of players needs to be greater or equal to 11. So, the equation is:
4 + x ≥ 11
To solve, subtract 4 from both sides.
x ≥ 7
At least 7 more people need to sign up.
The inequality which represents the situation is 4 + x ≥ 11 and the phrase will be at least 7 more people need to sign up.
What is inequality?A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.
In other words, inequality is just the opposite of equality for example 2 =2 then it is equal but if I say 3 =6 then it is wrong the correct expression is 3 < 6.
As per the given,
A football team needs to have at least 11 players. Only 4 people have signed up.
Let's say x number of people need to have at least 11.
x + 4 ≥ 11
x ≥ 11 - 4 = 7
Thus, at least 7 people more required.
Hence "The inequality which represents the situation is 4 + x ≥ 11 and the phrase will be at least 7 more people need to sign up".
For more about inequality,
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Based on 2017 sales, the six top-selling compact cars are the Honda Civic, Toyota Corolla, Nissan Sentra, Hyundai Elantra, Chevrolet Cruze, and Ford Focus (New York Daily News). The 2017 market shares are Honda Civic 20%, Toyota Corolla 17%, Nissan Sentra 12%, Hyundai Elantra 10%, Chevrolet Cruze 10%, and Ford Focus 8%, with other small car models comprising the remaining 23%. A sample of 400 compact car sales in Chicago showed the following number of vehicles sold.
Honda Civic 98
Toyota Corolla 72
Nissan Sentra 54
Hyundai Elantra 44
Chevrolet Cruze 42
Ford Focus 25
Others 65
Use a goodness of fit test to determine whether the sample data indicate that the market shares for cars in Chicago are different than the market shares suggested by nationwide 2017 sales. Using a 0.05 level of significance, what is the p-value?
The p-value is ___________.
What is your conclusion?
Conclude that the markets shares for the five compact cars in Chicago ______________the market shares reported.
What market share differences, if any, exist in Chicago? Round your answers to three decimal places. Enter negative values as negative numbers.
Sample
Compact Car Market Share Hypothesized Market Share Difference
Honda Civic - 0.20 =
Toyota Corolla - 0.17 =
Nissan Sentra - 0.12 =
Hyundai Elantra - 0.10 =
Chevrolet Cruze - 0.10 =
Ford Focus - 0.08 =
Others - 0.23 =
Answers
Answer:
Pvalue = 0.020335
X² = 14.99
CONCLUSION: THERE IS DIFFERENCE IN MARKET SHARES
Step-by-step explanation:
H0 : there is no difference in market shares
H1: there is difference in market shares
Chisquare (X²) = (observed - Expected)²/ expected
Honda Civic - 0.20 * 400 = 80 : (98-80)^2 /80 = 4.05
Toyota Corolla - 0.17 * 400 = 68 : (72-68)²/68 = 0.235
Nissan Sentra - 0.12 * 400 = 48 : (54-48)²/48 = 0.75
Hyundai Elantra - 0.10 *400 = 40 : (44-40)²/40 = 0.4
Chevrolet Cruze - 0.10 * 400 = 40 : (42-40)²/40 = 0.1
Ford Focus - 0.08 * 400 = 32 : (25-32)²/32 = 1.531
Others - 0.23 * 400 = 92 : (65-92)²/92 = 7.924
X² = (4.05+0.235+0.75+0.4+0.1+1.531+7.924) = 14.99
The obtain the Pvalue ;
We use the Pvalue from Chisquare calculator :
Pvalue(14.99, 0.05, df= 6) = 0.020335
Decision region :
Reject H0 ; if Pvalue < α
THERE IS DIFFERENCE IN MARKET SHARES
Market share differences:
* 98/400 = 0.245,
0.245-0.20 = 0.045
* 72/400 = 0.18,
0.18 - 0.17 = 0.01
* 54/400 = 0.135,
0.135 - 0.12 = 0.015
* 44/400 = 0.11,
0.11 - 0.10 = 0.01
* 42/400 = 0.105
0.105 - 0.10 = 0.005
* 25/400 = 0.0625
0.0625-0.08 = -0.0175
* 65/400 = 0.1625
0.1625 - 0.23 = -0.0675
help solve for x. round to the nearest tenth
Answers
Answer:
60.1
Step-by-step explanation:
Use cosine for this one- you get cos37 = adjacent/hypotenuse, or cos37 = 48/x
Solve for x and x = 48/cos37, or 60.1
Hopefully this helps! Let me know if you have any questions
Answer:
Pretty sure it's 60.1
standard unit of capacity
Answers
Answer:
Liter.
Step-by-step explanation:
Capacity can be defined as the maximum amount or quantity of liquid that a container can hold at a specific period of time. It is also referred to as the inner volume of a container.
The standard unit of capacity is a liter.
Note:
1 centimeter = 0.001 liters
1000 liters = 1 milliliters
if 2 angles of a triangle have measures of 58 and 101 degrees what is the measure of the 3rd
Answers
Answer:
21 degrees
Step-by-step explanation:
the sum of the three angles in a triangle equal 180. take the known angles (58 and 101) and subtract them from 180. 180-129=21
what is 5/6 of 3/4 ?
Answers
Answer:
Exact Form: 5/8
Decimal form: 0.625
Hope this helps
SOMEONE PLZ HELP ILL GIVE BRAINLIEST
Answers
2. Ethan can blow 15 balloons in 20 minutes, Jun Wei
can blow 18 balloons in 25 minutes and Vishal
can blow 16 balloons in 21 minutes. Assuming that
all balloons are blown to the same size, who can
blow balloons at the fastest rate? I just can't understand how to simply the vishal one others I have done
Answers
Answer:
Vishal can blow ballons at the fastest rate.
Step-by-step explanation:
Assuming that all balloons are blown to the same size, who can blow balloons at the fastest rate?
To find who can blow ballons at the fastest rate, we divide the number of ballons blown by the number of minutes, and whoever has the highest ratio of ballons blown per minute can blow balloons at the fastest rate.
Ethan can blow 15 balloons in 20 minutes
15/20 = 0.75 ballons per minute
Jun Wei can blow 18 balloons in 25 minutes
18/25 = 0.72 ballons per minute
Vishal can blow 16 balloons in 21 minutes.
16/21 = 0.76 ballons per minute
Since he has the highest rate, Vishal can blow ballons at the fastest rate.
PLEASE HELP WILL MARK BRAINLIEST
h=
k=
radius=
diameter=
Answers
Answer:
Circle formula:
(x - h)² + (y - k)² = r²Compare with given circle:
(x - 9)² + (y - 4)² = 36 = 6²We see that:
h = 9, k = 4, r = 6Diameter is twice the radius:
Diameter = 6*2 = 12Write the following in descending order.
I. 0.1 II. 0.009 III. 0.09 IV. 1
A. I, III, II, IV
B. III, I, IV, II
C. II,IV, I, III
D. IV, I , III, II
Answers
Answer:
IV, I, III and II
Step-by-step explanation:
Given
I. 0.1 II. 0.009 III. 0.09 IV. 1
Required
Write in descending order
In descending order means, from greatest to least.
From the given list of numbers,
The greatest is 1 (IV)
Followed by 0.1 (I)
Followed by 0.09 (III)
Then, the least is 0.009 (II)
So, the order is: IV, I, III and II
Which of the following is the square of a binomial
A. 36x^2 - 4y^2
B. d^2 + e^2
C. m^2 - mn + n^2
D. p^2 - 2pr + r^2
Answers
Answer:
Step-by-step explanation:
(a+b)² = a² + 2ab + b²
The only choice that has the form a² + 2ab + b² is D.
The square of a binomial is (p – r)². Then the correct option is D.
What is square binomial?The square binomial is a polynomial of two-term only and with power of 2. For example, (x + 5)² where x and 5 are the two separate terms.
Let's check the option D, we have
⇒ p² – 2pr + r²
We know that the formula a² – 2ab + b² = (a – b)², then we have
⇒ p² – 2pr + r²
⇒ (p – r)²
Then the correct option is D.
More about the square binomial link is given below.
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When would there be only four different equations for a set of math mountain numbers?
Answers
Answer:
Only when any equation you find among those numbers can be simplified into one of the four main equations, which means you only have four different true statements and lots of equivalences. 20 = 40 - 20. As the two addends are the same, so there would be only four different equations for a set of math mountain numbe
Step-by-step explanation:
What will a $160,000 house cost 8 years from now if the price appreciation for homes over that period averages 7% compounded annually?
Answers
Answer:
FV= $274,909.8
Step-by-step explanation:
Giving the following information:
Present value (PV)= $160,000
Interest rate (i)= 7%
Number of periods (n)= 8 years
To calculate the future value (FV) of the home, we need to use the following formula:
FV= PV*(1+i)^n
FV= 160,000*1.07^8)
FV= $274,909.8
A line passes through the point (-4,9) and has a slope of
4.
Write an equation in point-slope form for this line.
Answers
Answer:
y = 4x - 7
Step-by-step explanation:
Given the following data;
Points (x, y) = (4, 9)
Slope, m = 4
To write the equation in point-slope form;
The equation of straight line is y = mx + c
Where;
m is the slope.
x and y are the points
c is the intercept.
First of all, we would find the intercept c;
9 = 4*4 + c
9 = 16 + c
c = 9 - 16
c = -7
Next, we write the equation in point-slope form;
m = 4 and c = -7
y = 4x - 7
Solve the proportion.
20/16 =d/12 d= pls help
Answers
Answer:
d=15
Step-by-step explanation:
Cross multiply 20 * 12 =240
16 * d = 16d
16d=240
d=15
Which expression is equivalent to x+2x+y+2y
3x3y
3x+3y
3+xy
6xy