Which equation represents the data in
the table?
x 0 1 2 3 4
y -4 -2 0 2 4
F y= x -4
G y= 2x -2
H y = 2x - 4
I y= 4x -4
Answers
Answer:
y = 2x - 4
Step-by-step explanation:
The equations are put in slope intercept form
Slope intercept form: y = mx + b
Where m = slope and b = y intersect
So in order to find the equation of the data represented by the table we will have to find the slope and y intercept
Let's begin!
First let's find the slope
We can find the slope by using the slope formula
m = (y2 - y1) / (x2 - x1) where the x and y values are derived from coordinates from the table
The points chosen may vary but I have chosen the points (0,-4) and (1,-2)
Now that we have chosen the points we will use to find the slope let's define the variables
remember coordinates are written like this: (x,y)
The x value of the second coordinate is 1 so x2 = 1
The x value of the first coordinate is 0
So x1 = 0
The y value of the second coordinate is -2 so y2 = -2
The y value of the first coordinate is -4
So y1 = -4
Now that we have defined each variable let's plug in the values into the formula
Formula: m = (y2 - y1) / (x2 - x1)
Variables: x2 = 1, x1 = 0, y2 = -2, y1 = -4
Substitute values
m = (-2 - (-4) / ( 1 - 0 )
Evaluate
The negative signs cancel out on top and it changes to +4
m = (-2 + 4)/(1-0)
Add top values
m = 2/(1-0)
Subtract bottom numbers
m = 2/1
Simplify fraction
m = 2
So we can conclude that the slope (m) = 2
Now let's find the y intercept or "b"
The y intercept is the value of y when x = 0
If you look at the table when x = 0 y = -4 meaning that the y intercept or "b" is -4
Now that we have found everything let's find the equation of the data represented by the table
The equation is in slope intercept form
y = mx + b
Define variables
m = 2 and b = -4
Substitute values
y = 2x - 4
The equation is y = 2x - 4
Related Questions
Camry has 612 photos she needs to put
into albums. If each album holds 36
pictures, how many albums will it take
to hold all the photos?
Answers
Answer:
36 = 1
612 =?
(612×1)
----------
36
=17
What is correct answer For this problem
The table shows how the length of a fish changes over time.
Which equation represents the relationship between x, the time in years, and y, the length in centimeters?
Question options:
x = 4.5y
x = 9y
y = 4.5x
y = 9x
Answers
Answer:
C. y=4.5x
Step-by-step explanation:
divide y by x
You plant 9 rows of different bulbs in a garden. For each row, you use the rule, “onion, onion, garlic, flower.” How many garlic and flower bulbs do you plant altogether? How many bulbs do you use in all?
Answers
Answer: Who the actual fudge gardens anymore????? like what are you an old lady? ur name edna? ethel? doreen? geez louise u are old.
Step-by-step explanation:
The dimensions of a rectangular garden is 3 m by 10 m. When both dimensions are increased by equal amounts, the area of the garden doubles. What are the dimensions of the new garden?
Answers
Answer:
5 by 12 m
Step-by-step explanation:
The area for rectangle is LxW
The original area is 3*10, or 30 meters.
When both dimensions are increased, now the area is 60.
We can now inch up slowly to see what works:
3.5 and 10.5=36.75 X
4 and 11=40 X
5 and 12=60 YES!
The new dimensions of the garden are 5 m by 12 m, increased by 2, and the new area is 60 meters^2.
Write 6,070,000 in expanded form.
Answers
Answer:
6,000,000 + 0 + 70,000 + 0 + 0 + 0 + 0
bonus : word form: six million seventy thousand
Step-by-step explanation:
hope this helps! have a g'day
6,070,000 =
6,000,000
+ 0
+ 70,000
+ 0
+ 0
+ 0
+ 0
Explain in your own words the steps to dividing decimals by decimals.
Answers
2: If the divisor is not a whole number, then move the decimal place
places to the right to make it a whole number. Then move the decimal place in the dividend the same number of places to the right (adding some extra zeros if necessary.)
3: Divide as usual. If the divisor doesn't go in evenly, add zeros to the right of the dividend and keep dividing until you get a 0
0
remainder, or until a repeating pattern shows up.
4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
5: Check your answer against your estimate to see if it's reasonable.
The total cost for a piece of land is 600000. If the land is 100 meter shorter and each meter costs 1000 more the total cost would remain unchanged. Use a quadratic equation to determine the length of the land.
Answers
Answer:
5,00000000
Step-by-step explanation:
6000000000
Pls help I’m failing do it on paper and put it in the answer box
Answers
Step-by-step explanation:
there is no mathematical problem to solve.
just follow the instructions as given.
this is an exercise for you to get a feeling about what is what. it is imperative that you do it.
there is really nothing to solve.
remember, that a positive slope means the line goes up (from left to right), and a negative slope means the line goes down (again from left to right).
and I am sure you know what vertical and horizontal means.
9 x 6 and explenation will win a brainliest
Answers
Answer:
54
Step-by-step explanation:
9 = 3 x 3
6 = 3 x 2
9 x 6
= 3 x 3 x 3 x 2
= 54
Answer:
54
Step-by-step explanation:
9+9+9+9+9+9 = 54
Hope that helps. Can i have the brainliest :)
I’ll give brainliest to the person who give me the correct answer and pointsss.
Match them
Answers
I think the y=ab^x goes with the first graph and the y=logbc goes with the second
Step-by-step explanation:
pictures
Can someone help me I will mark u brilliant
Answers
Answer: its 45% for sure
Answer:
i believe 45%
Step-by-step explanation:
hope this helps! :D
have a miraculous day, and brainliest is immensely appreciated!! <3
PLEASE HELP ILL GIVE A HEART AND 5 STARS
Answers
Answer:
I Think it's True (If it's not please don't hate)
Opposite rays form a:
O line
O ray
O point
O plane
5
Answers
Answer:
ray
Step-by-step explanation:
Explanation:
A pair of opposite rays are two rays that have the same endpoint and extend in opposite directions. So, together a pair of opposite rays always form a straight line. So line is your answer.
what is the exact value of tan(-π/3)?
A. -√3
B. -√3/3
C.√3/3
D. √3
Answers
[tex]\tan \left(-\dfrac{\pi}3\right)\\\\=-\tan \left(\dfrac{\pi}3\right)\\\\=-\sqrt 3[/tex]
A convention center is in the shape of a rectangular pyramid with a height of 332 m. Its base measures 475 m by 571 m. Find the volume of the convention center. If necessary, round your answer to the nearest tenth
Answers
Answer:
30,015,566.7 m³ OR 3.0 x 10⁷ m³
Step-by-step explanation:
The formula for finding the volume of a rectangular pyramid is:
V = lwh/3
where l = length
w= width
h = height
(475)(571)(332)/3 = 30,015,566.7 m³ = 3.0 x 10⁷
Sam needs a bowl to mix her punch. She has 2-cup bowl, and a 6-cup. What is the smallest bowl sam can use to make her punch?
Answers
Answer:
the 2 cup bowl
Step-by-step explanation:
it is literally the smallest bowl she can use at her disposal
classyfying triangles unit 4
Answers
Answer:
What do you mean by that?
Step-by-step explanation:
Answer:
Is there more to the question? or a link/ picture you forgot to add?
Step-by-step explanation:
You decide to reduce the amount you spend eating out by $150 a month and invest the total saved at
the end of each year in your retirement account. How much will the account be worth at 5% in 15
years? (Use Table 13.1.) (Do not round intermediate calculations. Round your answer to the
nearest cent.)
Answers
The type of savings is the saving of uniform amount with interest applied to the sum of the amount in the account.
The amount the account is worth after 15 years is approximately $38,841.1Reasons:
The amount saved per month = $150
Amount saved per year, A = 12 × $150 = $1,800
The interest rate on the account, i = 5%
The amount, F, in the account after 15 years is given as follows;
The uniform series compound amount factor formula is presented as follows;
[tex]\displaystyle F = \mathbf{\frac{A \cdot \left[ \left(1 + i \right)^n - 1 \right]}{i}}[/tex]
Therefore;
[tex]\displaystyle F = \frac{1,800 \times \left[ \left(1 + 0.05 \right)^{15} - 1 \right]}{0.05} \approx \mathbf{38,841.4}[/tex]
The amount the account is worth after 15 years to the nearest cent is approximately $38,841.4.
Learn more about compound interest here:
https://brainly.com/question/9742437
Hurry!! Answer it please:))
Answers
Answer:
Option C.
Domain:
{3, 0, 2, 4}
Step-by-step explanation:
The domain is the set of all the values of x.
Answer:
C is the answer!:)
Step-by-step explanation:
Domain is all numbers on the left and range is on the right
Simplify: (ab + bc) (ab - bc)
Answers
[tex] \: \: \: \: [/tex]
[tex] = {a}^{2} \: {b}^{2} - {b}^{2} \: {c}^{2} [/tex]
Step-by-step explanation:
[tex](ab + bc)(ab - bc)[/tex]
use ( a + b ) ( a + b ) = a² - b² to simply the product[tex](ab {)}^{2} - (bc {)}^{2} [/tex]
to raise a product to a power ,raise each factor to that power[tex] = {a}^{2} {b}^{2} - {b}^{2} {c}^{2} [/tex]
hope it helpsYOU’RE GETTING A BRAINLIST IF YOU ANSWER THESE:
If you and I meet halfway between the fountain and the restrooms what are the coordinates of our meeting place?
If my cat and your dog meet halfway between the ball field and the swings what are the coordinates of their meeting place?
Now to the nearest yard how far are you and I to our pets after arriving to our meeting place?
Answers
Answer:
(0.5,-0.5)(0.5,0.5)2 yardsFind X. Enter a number for your answer. Do not type the symbol for degree or the
word "degrees"
Answers
Use angle sum property (the 3 angles in a triangle sum up to 180°).
2x + x + 54 = 180
3x + 54 = 180
3x = 180 - 54
3x = 126
x = 126/3
x = 42
_____
Hope it helps ⚜
x = 42
Explanation:-We know that,Angles of a triangle adds to 180°
So,=> 2x + x + 54 = 180
=> 3x = 180 – 54
=> 3x = 126
=> x = 126/3
=> x = 42
(x = 42° ; 2x = 84°)
Which of the following have a sum of 0? (Pick 2) *
1:The football team gained 10 yards on the first play, gained 10 yards on the second play, and lost 10 yards on the third play. What was the overall change in yardage?
2: While playing the integer game, Sam pulled the following cards: 8, 4, 5, -6, -8, -3. What is the sum of Sam's hand?
3: -15 - 8 + 12 + 11
4: 6 + (-5) - 7 + (-4) + (-4)
Answers
Answer:
The answer is number 3.
Step-by-step explanation:
-15 - 8 = -23
12 + 11 = 23
When you subtract -23 from 23 you have a sum of 0
Therefore the answer is 0
Enter the number that belongs in the green box
Answers
Answer:
72°
Step-by-step explanation:
The diagonals of a parallelogram intersect at a point that forms the center of symmetry of the parallelogram.
help i dont know what this means
The youth group is going on a trip to the state fair. The trip costs $64. Included in that price is $12 for a concert ticket and the cost of 2 passes, one for the rides and one for the game booths. Each of the passes costs the same price. Write an equation representing the cost of the trip, and determine the price of one pass. Solve your equation by showing your work and steps.
Answers
Answer:
12+26x=64
Step-by-step explanation:
64-12=52
52/2=26
$26 per pass
equation 12+26x=64
x=2 in this case x is representing the number of passes
12 is the ticket
and 64 is total cost
If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?
Answers
The third ordered pair that satisfies the equation of the circle is (123, 369).
The given parameters;
[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333)The third ordered pair of the equation can be determined by using general equation of a circle;
[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]
The radius of the circle is calculated as;
[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]
The value of a can be obtained by randomly choosing numbers less than the radius as values of b.
[tex]b < r\\\\b < 388.96[/tex]
[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]
Thus, the third ordered pair that satisfies the equation of the circle is (123, 369).
Learn more about equation of circle here: https://brainly.com/question/11711668
A rectangular field is four times as long as it is wide if the perimeter of the field is 420 yards what are the fields dimensions
Answers
Answer:
168yards by 42yards
Step-by-step explanation:
Perimeter =2(l+b)
Perimeter =420yards
length=4×breadth
l=4b
P=2(l+b)
P=2(4b+b)
P=2(5b)
P=10b
420=10b
b=420/10
b=42yards
l=4b=4×42yards
l=168yards
hence the dimensions are 168yards by 42yards
Two mechanics worked on a car. The first mechanic charged $75 per hour, and the second mechanic charged $45 per hour. The mechanics worked for a
combined total of 25 hours, and together they charged a total of $1425. How long did each mechanic work?
Answers
Answer:
First mechanic 10 hours, Second is 15 hours
Step-by-step explanation:
x + y = 25, so y = 25 - x
75x + 45y = 1425
Substitute in the first equation
75x + 45(25 - x) = 1425
75x + 1125 - 45x = 1425
30x = 300
x = 10
Therefore, y = 15
Answer:
they both worked
8 hours
Which of the lines listed below is parallel to the line with the equation y = 3/2x + 5?
Answers
use desmos graphing calculator
what is the value of y so that the equation is true y^2 = -81
Answers
Step-by-step explanation:
to make the equation true the value of y must be.
-1×9²-1×81-81hope it helps.
stay safe healthy and happy.
Answer:
y=-/+9
Step-by-step explanation:
y^2=81
find the square root
y=positive/negative 9
