Answers
Step-by-step explanation:
a linear function must follow the structure
y = ax + b
we use the given data point numbers for x and y to solve for the 2 variables a and b.
we use 2 data points to get a solution for the 2 variables. if the third data point then fits into the same equation, then all 3 points are on a line, and the function is therefore linear. if not, then not.
-8 2/5 = a×-7 1/2 + b
-6 = a×-1 1/2 + b
let's subtract the second from the first equation to eliminate b and solve for a :
-8 2/5 = a×-7 1/2 + b
- -6 = a×-1 1/2 + b
----------------------------------
-2 2/5 = a×6 0
6a = -2 2/5 = (-2×5 - 2)/5 = -12/5
a = -12/5 / 6 = -2/5
and now we use one of the 2 original equations with the newly found information to solve for b :
e.g.
-6 = -2/5 × -1 1/2 + b = -2/5 × -3/2 + b = 6/10 + b = 3/5 + b
-6 - 3/5 = b
(-6×5 - 3)/5 = b
-33/5 = b
so, our proposed linear function is
y = -2x/5 - 33/5
let's see, if the third point is on the line (then the equality is true for its coordinates) or not :
-2 = -2/5 × 8 1/2 - 33/5 = -2/5 × (8×2 + 1)/2 - 33/5
-2 = -2/5 × 17/2 - 33/5 = -34/10 - 33/5 = -34/10 - 66/10
-2 = -100/10 = -10
that is not true (-2 is not equal to -10), so the third point is not on the line between the first 2 points.
that means the function is nonlinear.
Related Questions
y 12 11 10 9 18 5 NCS A 1 X -12-11-10-9-8-7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10 11 12 -1 3 ó do & och ich -10 -11 -12
Answers
To find out the equation of the line we need two points
so
we take
(1,-3) and (2,-9)
step 1
Find the slope
m=(-9+3)/(2-1)
m=-6/1
m=-6
step 2
Find the equation in slope intercept form
y=mx+b
we have
m=-6
point (1,-3)
substitute
-3=-6(1)+b
solve for b
-3=-6+b
b=6-3
b=3
therefore
y=-6x+3in its simplest terms, construction is the process of designing and constructing a building that minimizes its impact on the environment both during construction and over its useful life.
Answers
Answer:
1+1=2
Step-by-step explanation:
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Jada keeps 175 hair beads in a storage box. She chooses a bead without looking what
color it is, and returns it to the box. She does this severaltimes.
Pink - 7
Green - 8
Red - 10
How many pink beads are in Jadas storage box
Answers
The probability of getting a pink bead out of the storage box containing a sum total of 175 beads is 0.1428
As per the question statement, we are supposed to find the probability of getting a pink bead out of the storage box containing a sum total of 175 beads.
It is given that there are 25 pink beads in the storage box.
Probability = Favorable outcome / Total value
Probability = 25/175
Probability = 0.1428
Hence, the probability of getting a pink bead out of the storage box containing a sum total of 175 beads is 0.1428
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the variance of a sample of 81 observations is 64. calculate the standard deviation. round your answer to two decimals.
Answers
The standard deviation is 8.
What is standard deviation?Data dispersion in regard to the mean is quantified by a standard deviation, or. Data are said to be more closely grouped around the mean when the standard deviation is low and more dispersed when the standard deviation is high. A measure of a group of values' variance or dispersion in statistics is called the standard deviation. The values tend to be close to the set's mean when the standard deviation is low, while the values are dispersed over a larger range when the standard deviation is high. The dispersion of the data around the mean value is measured by the standard deviation. It might be helpful when comparing data sets that may have the same mean but a different range.
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Which term best describes the quadrilateral formed by A(2, 3), B(4, 6), C(8, 9), and D(5, 5)?
O A quadrilateral
OB. parallelogram
C. rhombus
OD. kite
Asap!
Answers
The term that best describe the quadrilateral formed by the points A(2, 3), B(4, 6), C(8, 9), and D(5, 5) is option D. Kite
Quadrilateral:
A quadrilateral is the closed shape and a type of polygon that has four sides, four vertices and four angles.
The distance of the tow points can be calculated by using the formula,
d = √(x₂ - x₁)² + (y₂ - y₁)²
Where
(x₁, y₁) and (x₂, y₂) represents the coordinates of the two endpoints on the side
Given,
Here we have the points A(2, 3), B(4, 6), C(8, 9), and D(5, 5) that forms the quadrilateral.
And we need to find the shape of the quadrilateral.
Let us consider the coordinates of the vertices of the quadrilateral are A(2, 3), B(4, 6), C(8, 9), and D(5, 5),
To find its shape, we have to calculate the length of the sides of the quadrilateral can be found using the distance formula.
For side AB, we have the distance of
d1 = √(6 - 3)² + (4 - 2)²
d1 = √13
For side BC, we have the distance of
d2 = √(9 - 6)² + (8 - 4)²
d2 = √9 + 16
d2 = √25
d2 = 5
Now we have to take side CD,
d3 = √(5 - 9)² + (5 - 8)²
d3 = √16 + 9
d3 = √25
d3 = 5
Finally, side DA, we have;
d1 = √(3 - 5)² + (2 - 5)²
d1 = √13
Therefore, the given quadrilateral has two pairs of equal adjacent sides and the angles are equal at the meeting point of the two squares, it is best described as a kite.
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PLEASE HELPPL
Identifying Proportional Relationships
Which graph shows a proportional relationship?
Answers
Answer:
second graph
Step-by-step explanation:
the graph of a proportional relationship is a straight line passing through the origin.
the only graph with points which lie on a straight line with a point at the origin is the second graph.
On a unit circle, 0 = 45°. Identify the terminal point and tan 0
Answers
Answer:
It's A
Step-by-step explanation:
answer for brainliest
Answers
The slope intercept form equation of the line g is y = 2x + 13
Slope intercept form:
Slope intercept form the graph of a straight line and it is represented in the form of
y=mx + c
where
m represents the slope of the line
c represents the intercept of the line
Given,
Here we have the line f and g. f is parallel to g.
The equation of f is y = 2x - 5. And the line is passed through the points (-6,1).
Now, we need to find the equation of the line g.
We know that, if two lines are parallel if their slopes are equal and but they have different y-intercepts.
Based on this theory, while we looking into the equation of the line f we have easily identified that the slope of line g is also 2.
Now, we have to find the intercept,
For that, we ahve to apply the point and slope on to the standard form,
Then we get,
1 = 2(-6) + c
1 = -12 + c
c = 13
Therefore, the intercept is 13.
Then the equation of the line g is,
y = 2x +13
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You are 4 feet 6 inches tall and cast a shadow that is 6 feet 9 inches long. Your friend is 6
feet tall (at the same time). Find the length of your friend's shadow (show your thinking).
Answers
Answer:
Your friends shadow would be 9 foot 3 inches
g(x)=(1)/(4)x+1
what is g(16) ?
g(16)=
Answers
in the diagram ABC is equal to DEC what is the value of x?
Answers
The figure shows a triangle with one or more of its medians.
Answers
The length of BK in the triangle is 8 units
How to determine the length of BKThe given parameters are
Shape = TriangleLength KU = 4 unitsMedian point = KAs a general rule, the median of a triangle divides the triangle into the following ratio
Ratio of median = 2 : 1
This means that
Ratio of median, BK : KU = 2 : 1
Substitute 4 for KU
So, we have
BK : 4 = 2 : 1
Multiply the right ratio by 4
BK : 4 = 8 : 4
By comparison, we have
BK = 8
Hence, the value of BK is 8 units
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A pen costs $2.50. The expression 4n+ 2.50 represents the cost of buying 4 notebooks
and a pen. What is the product in the expression? What does the product represent?
Answers
Step-by-step explanation:
4n
it is 4 times the price of 1 notebook "n".
so the expression actually represents the cost of buying 4 notebooks and 1 pen.
n represents the cost of one notebook.
4n is the cost of 4 notebooks.
What is Arithmetic?The study and use of numbers, their connections, and mathematical observations are topics covered by the area of mathematics known as arithmetic. The fundamental ideas in number theory, measurement, and calculation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
As per the given data in the question:
Cost of one pen = $2.50
The expression that represents the cost of buying 4 notebooks
and a pen = 4n+ 2.50
For finding the product in the expression:
The product is 4n {4 multiplied by n}
Here, n represents the cost of one notebook.
Hence, 4n is the cost of 4 notebooks.
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5x-6=2x+9 solve and Check the solution
Answers
Answer:
x = 5
Step-by-step explanation:
Take your starting equation:
5x - 6 = 2x + 9
Your first step should be to isolate the variable, X, by having it on only one side of the equation. This can be done by subtracting one of the X values (either 5x or 2x) from either side, but I recommend the side with 2x since it's a smaller value and won't result in a negative.
(This is the right side of the equation)
2x + 9
- 2x
= 9
We need to do the same thing on the other side of the equation too, to balance both sides:
(This is the left side of the equation)
5x - 6
- 2x
= 3x - 6
This is our equation now:
3x - 6 = 9
The next step is to isolate X further by removing any constants (regular numbers) from the side with X. Since the constant on that side is -6, we need to add 6 to that side so that it's cancelled out, and do the same on the other side to balance.
(This is the left side of the equation)
3x - 6
+ 6
= 3x
And now for the other side:
(This is the right side of the equation)
9
+ 6
= 15
This is our current equation:
3x = 15
The final step is to get X completely isolated. X is being multiplied by 3, so we need to divide both sides of the equation by 3 to finally get the value of X.
(This is the left side of the equation)
3x
÷ 3
= x
And now for the other side:
(This is the right side of the equation)
15
÷ 3
= 5
Our final equation:
x = 5
We can check our answer by taking the final X value, 5, and inserting it into our beginning equation.
This is the beginning equation, as a reminder:
5x - 6 = 2x + 9
Replace all instances of X with its value, 5:
(5 · 5) - 6 = (2 · 5) + 9
After simplifying, the result is:
19 = 19, which means the X value is correct.
an order from an online bookstore takes at least four weeks to arrive. you ordered some books online nine days ago.
please help!!!!
Answers
Answer:
jahajshsisjsjssk sjshejei sjshshisbs
What is the state tax withheld on this W-2? Responses $25,670 $25,670 $2009.04 $2009.04 $1309.17 $1309.17 $567 $567
Answers
Answer: The answer is $2009.04
Step-by-step explanation:
I hope this helps.
If D = 1 - s² and C = 3 + 3s, find an expression that equals 2D - 3C in standard form.
Answers
The expression in standard form can be written as - ( 2s² + 9s + 1 ) .
Given ; D = 1 - s^2
And given C = 3 + 3s
To find : 2D - 3C
Thus we can write it as ;
2 ( 1 - s²) - 3 (3 + 3s )
After opening the brackets we get;
2 - 2s² - 3 - 9s
Thus first we have to look for like terms as here there is a quadratic expression
we get
- 2s² - 9s -1
We can also take the minus sign common and then we will get
- ( 2s² + 9s + 1 )
Thus 2D - 3C when expressed in standard form we get - ( 2s² + 9s + 1 ) .
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PLEASE SOLVE QYIVK WILL PUT U AS BRAINLIEST ANSWER
Solve the following problem using your knowledge of systems of linear equations. Bags of chips 4 3 2 Liters of pop 4 2 3 Chocolate bars 6 10 4 Cost $21.00 I $20.88 $13.17 Calculate the unit price of each snack purchased. Let "c" represent the unit cost of the chips Let "p" represent the unit cost of the pop Let "b" represent the unit cost of the chocolate bars
Answers
Answer: p=$1.47 c=$1.98 b=$1.20
Step-by-step explanation: Hope this helps!<3
Consider this function.() = -31 + 3Which graph represents the inverse of function ?5XE3*-W.x3-12ZАwDZ
Answers
To know the inverse function, we have to change variables of the original function as follows:
[tex]f(x)=y=-3x+3[/tex][tex]x=-3y+3[/tex]Isolating for y:
[tex]x+3y=3[/tex][tex]3y=3-x[/tex]Thus, the inverse function is:
[tex]y=-\frac{1}{3}x+1[/tex]Based on the latter, we can see that the intersection with y -axis = 1, coordinate (0, 1). While the intersection with x - axis = 3, coordinate (3, 0)
Answer: C. Y
Sandy hiked a total of 37.8 miles in 3
days. She hiked 12.3 miles on Friday and
11.9 miles on Saturday.
How many miles did Sandy hike on
Sunday?
(A) 12.9
B 13.2
C 13.6
D 14.1
Answers
Sandy hiked 13.6 miles on Sunday
The correct option is option c)
What is subtraction?
Subtraction is a basic arithmetic operation in which we remove a number from another number. the other arithmetic operations include addition ,multiplication and division
We are given that, Sandy hiked a total of 37.8 miles in 3 days.
Also that She hiked 12.3 miles on Friday and 11.9 miles on Saturday.
Let the miles hiked by her on Sunday be x
Hence the equation can be given as
37.8=12.3+11.9+x
x=37.8 - 24.2
x= 13.6 miles
Sandy hiked 13.6 miles on Sunday
Hence the correct option is option c)
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in the diagram, parallel lines a and m are cut by transversal t m <1=4x + 16 and m<2 =2x - 22
Answers
In thia problem we have that
m<1 and m< 2 are consecutive interior angles
that means
m<1+m<2=180 ------> supplementary angles
substitute the given values
4x+16+2x-22=180
solve for x
6x-6=180
6x=180+6
6x=186
x=31
Find the value of m<1
m<1=4(31)+16
m<1=140 degrees
Between which two whole numbers is square root of 12?
Which of the two numbers is a better estimate for square root of 12 explain.
Answers
Answer:
3 and 4Step-by-step explanation:
square root 12 lies between (square root 9 and 16) so it is between 3 and 4
If a football team received the ball on the 50-yard line, what represents zero in this situation? _______ because this spot represents neither a gain or loss of yards in the first play. plsss helpp
Answers
If the football team started a play on the 50-yard line, gained 7 yards, and then lost 10 yards on the next play, the ball would be on the 47-yard line at the conclusion of the second play.
The 50-yard line is where the start is.
After the opening play, the football team gained 7 yards.
After the first play, the new yard line equals (the starting point) plus (Number of yards gained)
following the conclusion of the first play, the new yard line
If a football team started a play on the 50-yard line, gained 7 yards, and then lost 10 yards on the next play, the ball would be on the 47-yard line at the conclusion of the second play.
After the first play, the new yard line is equal to 50 plus 7.
After the first play, the new yard line is the 57-yard line.
The second play cost the football team 10 yards.
The yard line following the conclusion of the second play equals the yard line following the conclusion of the first play (The number of yards lost)
The new yard line following the conclusion of the second play is 57-10.
47 is the new yard line following the conclusion of the second play.
The second half of the second
47 is the new yard line following the conclusion of the second play.
The ball was on the 47-yard line after the second play when it was over.
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PLEASE HELP ME TO GET UNGROUNDED AND A BETTER GRADE ASAP
LOTS OF LOVE!
Answers
Answer:
e=32, f=79, d=69
Step-by-step explanation:
32 and e are vertical angles, so they share the same value. Same with 69 and d. 69+e+f=180, so process of elimination gives you your answer. Lmk if you need any more help or a better explanation, hope you get ungrounded !
Answer:
f = 79 , e = 32 , d = 69
Step-by-step explanation:
32 + 69 + f = 180
101 + f = 180
f = 79
----------------------------------------------------
69 + 79 + e = 180
148 + e = 180
e = 32
5 miles in 1 and 1/2 hours
Answers
Using fractions, The faster one is : Robert
Describe fraction.A fraction, which also symbolizes a piece of a whole, is a mathematical symbol for any number of equal parts. A fraction, such as one-half, eight-fifths, and three-quarters, denotes the number of components of a specific size when used in conversational English.
By converting the incorrect fraction, produce an appropriate fraction.
Jocab travels 5 miles in 1 1/2 hours; therefore, 1 1/2 hours is 3/2 hours in minutes, or 3/2 x 60 minutes.
Robert: Three miles in seventy-five minutes = forty-five minutes.
If Robert runs 3 miles in 45 minutes, he completes 6 miles, as opposed to Jocab's 5 miles in 90 minutes.
Robert thus moved more quickly than Jocab.
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I’m confused can someone help me
Answers
To determine how much flour is required for 24 cups of sugar, assume that 12 cup of flour is required.
What is meant by Fraction operation?A fraction represents a part of a whole or, more generally, any number of equal parts. A fraction can be a portion or section of any quantity out of a whole.The denominator indicates the number of parts in which the whole has been divided into. It is placed in the lower part of the fraction below the fractional bar.The numerator indicates how many sections of the fraction are represented or selected. It is placed in the upper part of the fraction above the fractional bar.There are in total six types of fractions such as:
Proper fraction.Improper fraction.Mixed fraction.Like fractions.Unlike fractions.Equivalent fractions.How to find amount of flour ?8 cup of flour is mixed with 16 cup of sugar
So for 8 cup of flour need 16 cup of sugar
Need to find how much flour is needed for 24 cups of sugar
Assume the amount of flour needed is x.
[tex]\frac{8}{16}[/tex] = [tex]\frac{x}{24}[/tex]
cross multiply them :
[tex]\frac{8}{16}[/tex] = [tex]\frac{x}{24}[/tex]
[tex]8 * 24 =16x[/tex]
[tex]x = \frac{8 * 24}{16}[/tex]
x = 12
12 cup flour is needed for 24 cups of sugar
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Can someone help me with this question, its timed...
Answers
Answer:
Where is the question???
Julian Hathaway earns $32,000 annually as a teacher. If the school issues biweekly paychecks, how much
is each check?
Answers
Answer:
$1,230.77
Step-by-step explanation:
Bi-weekly: every two weeks
52 weeks in a year÷ 2= 26
Julian gets paid 26 weeks out of the year
$32,000÷26=$1230.769231
about $1,230.77 on paychecks
Answer:
she will earn $64,000
because $32,000 +$32,000= 64,000
Step-by-step explanation:
biweekly paycheck for 2weeks so I added the number so it will be multiple times 2 week s
Find the mean, the median, and the mode(s), if any, for the given data. Round noninteger means to the nearest tenth. (If there ismore than one mode, enter your answer as a comma-separated list. If an answer does not exist, enter DNE.)18,3, 40, 19, 42, 48, 51, 43meanmedianmode(s)
Answers
The data are listed in ascending order to be:
[tex]3,18,19,40,42,43,48,51[/tex]MEAN
The mean is the average of a data set. This can be calculated using the formula:
[tex]Mean=\frac{Sum\text{ }of\text{ }numbers}{Number\text{ }of\text{ }Numbers}[/tex]From the question, we can calculate the mean to be:
[tex]\begin{gathered} Mean=\frac{3+18+19+40+42+43+48+51}{8}=\frac{264}{8} \\ Mean=33 \end{gathered}[/tex]The mean is 33.
MEDIAN
The median is the middle of the set of numbers.
The middle terms are 40 and 42. Therefore, the median will be the average of the two numbers:
[tex]\Rightarrow\frac{40+42}{2}=41[/tex]The median is 41.
MODE
The mode is the most common number in a data set.
The modes of the data are 3, 18, 19, 40, 42, 43, 48, and 51.
Noah bought `4` tickets and paid `\$103`. What was the cost per ticket?
Answers
Answer: 25.75
Step-by-step explanation: 103 divided by 4 = 25.75
