Answer:
As a fraction:
x | y
________
|
7/3 | 2
3 | 4
11/3 | 6
13/3 | 8
As a mixed fraction:
x | y
________
|
2 ⅓ | 2
3 | 4
3 ⅔ | 6
4 ⅓ | 8
As a decimal:
x | y
___________
|
2.33.. | 2
3 | 4
3.66.. | 6
4.33.. | 8
You should start with x values since the y values will be easier to plot. x's will not be easy to represent.
For example:
x | y
________
|
0 | -5
1 | -2
2 | 1
3 | 4
4 | 7
5 | 10
I need help what's the answer
Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
slope-intercept form is [tex]y = mx + b[/tex] with [tex]m[/tex] being the slope of the line and [tex]b[/tex] being the y-intercept (where the line touches the y-axis)
First we can find [tex]m[/tex] using the formula for slope, [tex]\frac{rise}{run}[/tex] (or [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]), which is the change in y over the change in x.
We can use any points on the line, but I am going to use [tex](4, 3)[/tex] and [tex](3, 1)[/tex] for this example. We can now find the slope.
[tex]\frac{3-1}{4-3} = \frac{2}{1}[/tex]
This means your slope is 2, which means [tex]m[/tex] is 2.
Finding the y-intercept is easy. This line crosses the y-axis at -5, and so [tex]b[/tex] is -5.
Now we can plug in the values into our original equation to get the equation of the line.
[tex]y = 2x - 5[/tex]
That is the answer
- Kan Academy Advance
1. Using the above
scatterplot, does there
seem to be a positive
correlation, a negative
or no
correlation,
correlation between
the number of
customers and sales?
Answer:
yes there is a correlation
Step-by-step explanation:
here's how I found this by looking up all key words.
Can someone help pls
Answer:
B.) No, because it fails the vertical line test.
Step-by-step explanation:
You can determine whether or not graphs represent functions by performing the vertical line test. This test states that to be a function, there must only be one output for every input. In other words, there must be only one "y" value per "x" value. As you can see, for some "x" values there is more than one "y" value.
The easiest way to perform this test is by placing your finger at the top of the graph and moving it downwards. If you cross the line twice, then it must not be a function.
Given (x – 1)2 = 50, select the values of x.
Answer:
[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]
Step-by-step explanation:
[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]
Nevaeh models the volume of a popcorn box as a right rectangular prism. Its dimensions are 5 in by 3 in by 7 1/4 in. How many cubic inches of popcorn would it hold when it’s a quarter full? Round your answer to the nearest tenth if necessary.
The cuboid can hold 27.2 cubic inches of popcorn
What is a right rectangular prism?A right rectangular prism is also called the cuboid. it is a solid three dimensional shape with 6 faces, 12 edges and 8 vertices.
Analysis:
Volume of cuboid = length x width x height
= 5 x 3 x 29/4 = 108.75 cubic inches
When it is quarter full, volume = 1/4 x 108.75 = 27.2 cubic inches
In conclusion, the volume of the cuboid is 27.2 cubic inches.
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Fred's teacher gave the class the
quadratic function f(x) = 4x² + 16x+9
State two different methods Fred could use to solve the equation f(x) = 0.
Using one of the methods stated in part a, solve f(x) = 0 for x, to the nearest
tenth.
Two methods Fred could use to solve the equation are
The completing the square method The formula methodThe solution for the function is x ≅ -0.7 OR x ≅ - 3.3
Solving quadratic equationsFrom the question, we are to solve the given quadratic equation
Two methods Fred could use to solve the equation are
The completing the square method The formula methodThe given quadratic function is
f(x) = 4x² + 16x+9
Now, we are to solve f(x) = 0 for x
That is,
4x² + 16x+9 = 0
Using the formula method to solve the equation
[tex]x =\frac{-b \pm \sqrt{b^{2}-4ac } }{2a}[/tex]
In the equation,
a = 4, b = 16, and c = 9
∴ [tex]x =\frac{-16 \pm \sqrt{16^{2}-4(4)(9) } }{2(4)}[/tex]
[tex]x =\frac{-16 \pm \sqrt{256-144 } }{8}[/tex]
[tex]x =\frac{-16 \pm \sqrt{112 } }{8}[/tex]
[tex]x =\frac{-16 \pm 10.58 }{8}[/tex]
[tex]x =\frac{-16+ 10.58 }{8}[/tex] OR [tex]x =\frac{-16- 10.58 }{8}[/tex]
[tex]x =\frac{-5.42 }{8}[/tex] OR [tex]x =\frac{-26.58 }{8}[/tex]
x = -0.6771 OR x = - 3.3229
x ≅ -0.7 OR x ≅ - 3.3
Hence, the solution for the function is x ≅ -0.7 OR x ≅ - 3.3
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Find the midpoint of A and B where A has coordinates (2, 3)
and B has coordinates (8, 9).
Step-by-step explanation:
Solution,Given,Coordinates of A and B are (2,3) and(8,9) respectively. Let A(2,3)= (x1,y1) and B(8,9)=(x2,y2)Midpoint of AB(m)=?Now,using midpoint formulam= {(x1+x2)/2 ,(y1+y2)/2}or m= {(2+8)/2,(3+9)/2}.°. m=(5,6)Answer:Mxy= [(Xa+Xb/2);(Ya+Yb/2)]
=(2+8/2);(3+9/2)
Midpoint= (5, 6)
Step-by-step explanation:
what are the key features of the graph of a trigonometric function? How do you find them from a graph or an equation?
Answer:
The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.
They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).
55 POINTS!!!!!! WILL GIVE BRAINLIEST!!!!!!! PLS HELP ASAP!!!!!
Danielle is trying to solve the equation [tex]8^x=\frac{1}{64}[/tex]. Explain in detail how Danielle should solve this problem. Then solve it step by step showing all your work and tell Danielle what the answer should be.
Answer:
x=-2
Step-by-step explanation:
Given equation:
8^x= 1/64
Ensure both sides of the equation are in power format by changing 1/64
1/64 = 64^-1
8^x = 64^-1
2^3(x) = 2^6(-1)
The bases will cancel out each other
3(x) = 6(-1)
3x = -6
x = -6/3
x = -2
Check
8^x = 1/64
x = -2
8^-2
= 1/8²
= 1/8*8
= 1/64
This table displays the market share in percent of four companies.
Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Chart?
A. 0 to 40
B. 10 to 20
C. 0 to 20
D. 20 to 40
The right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40.
How do you set the vertical axis of a Bar Chart?In setting the vertical axis of a Bar Chart, note that it is vital for the categories to be natural as possible.
That is, the vertical axis should always begin with the number zero (0) and the scale values for the x axis must range from the lowest value on the left hand side to highest on the right hand side.
Therefore, due to the explanation given, the right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is 0 to 40 as it range from 0 to the highest value.
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Answer:
A
Step-by-step explanation:
i think i can be wrong
You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.
Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, the flight distance is partitioned in a ratio of 3:1, hence:
L - Nv = 3/4(Ny - Nv).
This ratio is applied for both coordinates, hence, for the x-coordinate:
[tex]x + 4 = \frac{3}/{4}(5 + 4)[/tex]
[tex]x = \frac{27}{4} - \frac{16}{4}[/tex]
[tex]x = \frac{11}{4}[/tex]
x = 2.75.
For the y-coordinate:
[tex]y = \frac{3}/{4}(2 - 0)[/tex]
[tex]y = \frac{6}{4}[/tex]
x = 1.5.
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If Randy sells 8 times as many vacuum cleaners as Janice, and Janice sells 690 vacuum cleaners per year, on average, how many does Randy sell each month
Randy sells, in average, 460 vacuum cleaners per month.
How many vacuum cleaners does Randy sell each month?.
First, we know that Janice sells 690 units per year.
There are 12 months in a year, so the amount that she sells, in average, per month is:
J = 690/12 = 57.5
This means that Janice sells, in average, 57.5 units per month. And Randy sells 8 times as many, then we can solve the product:
R = 8*57.5 = 460
This means that Randy sells 460 units per month.
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Select the correct answer.
Which function is a linear function?
OA 1-3xy
OB. y+7=5x
OC. ³+4=y
OD. 9(x²-y)=3
OE y-x³=8
Answer:
linear equation is the equation having degree 1 like ax+by=c so option B is correct ..
y+7=5x will be treated as the linear function. Thus, option B is correct.
What is a linear function?Any formula with one or two variables and no exponents is said to be linear. On the coordinate plane, this property depicts a straight line. In order to maintain the same function's linear illness, extra variables in a function must be constant.
y+7=5x
This equation can be written in a proper form:
y=5x-7
As this equation does not have any power therefore this will be treated as a linear function.
Therefore, option B is correct.
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Consider isosceles ΔXYZ.
What is the value of n?
What is the measure of leg XY? ft
What is the measure of leg XZ? ft
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.
A.) The value of n can be found by equating XY and XZ together,
XY = XZ
9n + 12 = 15n - 6
12 + 6 = 15n - 9n
18 = 6n
n = 3
Hence, the value of n is 3.
The length of different legs of the triangle is,
B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39
C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39
Hence, the length of the legs XY and YZ is equal to 39 units.
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Answer:
Step-by-step explanation:
3
39
39
can you solve the question but tell me how to do it I'm trying to study but don't know how to solve it?
Answer:
8x+19=9x+9
Step-by-step explanation:
Simplifying
(8x + 19) = (9x + 9)
Reorder the terms:
(19 + 8x) = (9x + 9)
Remove parenthesis around (19 + 8x)
19 + 8x = (9x + 9)
Reorder the terms:
19 + 8x = (9 + 9x)
Remove parenthesis around (9 + 9x)
19 + 8x = 9 + 9x
Solving
19 + 8x = 9 + 9x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-9x' to each side of the equation.
19 + 8x + -9x = 9 + 9x + -9x
Combine like terms: 8x + -9x = -1x
19 + -1x = 9 + 9x + -9x
Combine like terms: 9x + -9x = 0
19 + -1x = 9 + 0
19 + -1x = 9
Add '-19' to each side of the equation.
19 + -19 + -1x = 9 + -19
Combine like terms: 19 + -19 = 0
0 + -1x = 9 + -19
-1x = 9 + -19
Combine like terms: 9 + -19 = -10
-1x = -10
Divide each side by '-1'.
x = 10
Simplifying
x = 10
Answer:
x = 10Step-by-step explanation:
they are opposite angles, therefore congruentwe solve with an equation8x + 19 = 9x +9
19 - 9 = 9x - 8x
10 = 1x
x = 10
check
-------------------
8 * 10 + 19 = 9 * 10 + 9
80 + 19 = 90 + 9
99 = 99
the answer is good
PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?
Answer:
46.272 or 46 34
125
Explains :
Let see :
Based on the given conditions, formulate: 16×14.46÷5
Calculate the product or quotient:231.36
5
Convert decimal to fraction:23136
100
5
Divide a fraction by multiplying its reciprocal:23136 × 1
100 5
Write as a single fraction:23136
100×5
Cross out the common factor:5784
25×5
Calculate the product or quotient:5784
5784 125
get the result: 46.272 or 46 34
125
Answer: 46.272 or 46 34
125
Consider two circular swimming pools. Pool A has a radius of 18 feet, and Pool B has a diameter of 11.16 meters. Complete the description for which pool has a greater circumference. Round to the nearest hundredth for each circumference. 1 foot ≈ 0.305 meters
The diameter of Pool A is
17.24
meters. So, the diameter of Pool
A
is greater, and the circumference is
greater
by
meters.
Answer:
The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters
Step-by-step explanation:
Identify the diameter of Pool A.
d = 2r
d = 2(18) Substitute 18 for r.
d = 36 ft
Convert from feet to meters. Use the ratio of 1 foot to 0.305 meters.
36 × 0.305 = 10.98
The diameter of Pool A is about 10.98 meters.
Use the formula to find the circumference of Pool A.
C = πd
C = π(10.98) Substitute 10.98 for d.
C ≈ 3.14(10.98) Substitute 3.14 for π.
C ≈ 34.48 Multiply. Round to the nearest hundredth.
The circumference of Pool A is about 34.48 meters.
Identify the diameter of Pool B.
d = 11.16 m
The diameter of Pool B is 11.16 meters.
Use the formula to find the circumference of Pool B.
C = πd
C = π(11.16) Substitute 11.16 for d.
C ≈ 3.14(11.16) Substitute 3.14 for π.
C ≈ 35.04 Multiply. Round to the nearest hundredth.
The circumference of Pool B is about 35.04 meters.
The circumference of Pool B is greater than the circumference of Pool A.
Find how much greater the circumference of Pool B is compared to the circumference of Pool A.
35.04 − 34.48 = 0.56
The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters.
(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.
x y
4 3
6 4
8 9
11 12
13 17
A: y = 1.560x - 4.105
B: y = -4.105x + 1.560
C: y = 4.105x - 1.560
D: y = -1.560x + 4.105
please hurry
Answer:
Slope-intercept form of a linear equation: [tex]y=mx+b[/tex]
where:
[tex]m[/tex] is the slope[tex]b[/tex] is the y-interceptTo determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.
From inspection of the data, we can see that as x increases, y increases. Therefore, the slope of the equation will be positive.
(If the y-values decrease as the x-values increase, then the slope would be negative).
Therefore, we can immediately discount answer options B and D as they have negative slopes.
The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.
Therefore, the line of best fit is:
A: y = 1.560x - 4.105
To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).
Choose 2 points on the line of best fit: (4, 2) and (11, 13)
Use the slope formula with these points to calculate the approximate slope:
[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]
Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.
The measure of A∠ is greater than twice the measure of B∠ . If the angles’ sum is 42 degrees, find the measure of A∠ .
Step-by-step explanation:
I think angle A = 21 degree
because in the question there is angle A Is twice means angle a + angle a= 4G degree
2 angle a=42 degree
42 divides by 2
answer is 21 degree
I have a bag with 6 marbles numbered from 1 to 6. mathew has a bag with 12 marbles numbered from 1 to 12. matthew chooses one marble from his bag and i choose two from mine. in how many ways can we choose the marbles (where the order of my choices does matter) such that the sum of the numbers on my marbles equals the number on his?
Answer:
It would be 30.
Step-by-step explanation:
If we make a list of all the sums that we can get, we have:
1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6
These 15 sums can be chosen in two ways, since order matters, and we could do 2+1 instead of 1+2.
That gets us to 15x2 which is 30.
The number of ways that we can choose the marbles such that the sum of the numbers on my marbles equals the number on his would be 30.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
I have a bag with 6 marbles numbered from 1 to 6.
Mathew has a bag with 12 marbles numbered from 1 to 12.
1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6
These 15 sums can be chosen in two ways,
Since order matters, and we could do 2+1 instead of 1+2.
15 x 2 which is 30.
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guys help just with part b for number 2!
Answer:
22 8th graders
Step-by-step explanation:
if 25% of the 88 kids are 8th graders then do this.
88x.25=22
88x.75=66
there are 22 eighth graders
and 66 seventh graders.
Find the 14 term of the following geometric sequence.
10, 20, 40, 80,
Answer:
81920
Step-by-step explanation:
Finding the common ratio (r) :
20/102Finding the 14th term :
a₁₄ = ar¹⁴⁻¹a₁₄ = ar¹³a₁₄ = (10)(2)¹³a₁₄ = (10)(8192)a₁₄ = 81920Answer:
the 14th term in the sequence would be 81920.
Step-by-step explanation:
because you are multiplying by 2 each time to find the next multiply 80 by 2 giving you 160 again giving you 320 again giving you 640 than 1280 , 2560 ,5120 ,10240 ,20480 ,40960 ,finally the 14th number in the sequence multiplying 40960 by 2 would give you your answer of 81920.
An isosceles right triangle has an area of 8cm^2. What is the length of its hypotenuse?
Answer:
Given, an isosceles right triangle has area 8 cm². We have to find the length of its hypotenuse. We know that in an isosceles triangle two sides are of equal length. Therefore, the length of the hypotenuse is √32 cm.
What is the area of the base of the prism?
1 square centimeters
what is the volume of the prism?
cubic centimeters
The base area of the prism is 36 square centimeters and the volume of the prism is 288 cubic centimeters
How to determine the base area?The base area is calculated as:
Base area =Length * Width
From the complete question (see attachment), we have:
Length = 12
Width = 3
So, we have:
Base area = 12 * 3
Base area = 36
How to determine the volume?The volume is calculated as:
Volume = Base area * Height
So, we have:
Volume = 36 * 8
Evaluate
Volume = 288
Hence, the volume of the prism is 288 cubic centimeters
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hi can someone help me
Step-by-step explanation:
mean value is always the sum of all data divided by the number of data points.
we can see just by looking at the numbers that team B is way below team A.
mean team A : 1529/8 = 191.125
mean team B : 1141/8 = 142.625
so, clearly, team B had to make dinner.
the median is the value of all the data points, where half of the others are smaller, and the other half are bigger.
in case of an even number of data points (like here with 8), we find the 2 middle values and calculate the mean value of these 2 :
median team A : (180+189)/2 = 184.5
median team B : (143+134)/2 = 138.5
the mode is the number in the set of data that occurred must often. if they are all unique, then they ALL are the mode. it is NOT 0 or empty. it is then really all the data points.
mode team A : 212
mode team B : 99, 102, 105, 134, 143, 145, 202, 211
HELP PLEASE ILL MAKE YOU THE BRAINIEST What is the area of the regular polygon?
Based on the calculations, the area of this regular polygon (hexagon) is equal to 24 m².
How to calculate the area of a regular polygon?Mathematically, the area of a regular polygon can be calculated by using this formula:
Area = (n × s × a)/2
Where:
n is the number of sides.s is the side length.a is the apothem.Note: The apothem of a regular polygon is half the length of one side.
Therefore, Length = 2 × 2 = 4 meter.
Substituting the parameters into the formula, we have;
Area = (6 × 4 × 2)/2
Area = 48/2
Area = 24 m².
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please help me! will give the brainliest answer!
need help fast given lim x→c f(x) = "-4" and lim x→c g(f) =1/5 what is lim x→c [g(f)/f(x)]
Work Shown:
[tex]\displaystyle \lim_{x \to c}f(x) = -4\\\\\\\lim_{x \to c}g(x) = 1/5\\\\\\L = \lim_{x \to c}\frac{g(x)}{f(x)}\\\\\\L = \frac{\displaystyle \lim_{x \to c}(g(x))}{\displaystyle \lim_{x \to c}(f(x))}\\\\\\L = \frac{1/5}{-4}\\\\\\L = (1/5)*(-1/4)\\\\\\L = -1/20\\\\[/tex]
Put simply, we divide the two given values g(x) = 1/5 over f(x) = -4 to end up with -1/20
Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position
Answer:
$ 65.59 more per week
Step-by-step explanation:
Assuming she worked 52 weeks a year as a clerk :
30534 - 52 * 521.6 = $ 3410.80 more per year
now each WEEK that is 3410.80 / 52 = 65.59
4.
In the diagram of AABC below, DE || BC,
AD= 3, DB=2, and DE = 6.m
6
E
2
B
What is the length of BC?
1) 12
2) 10
3) 8
4) 4
C