Given:
The given system of equations is:
[tex]2x+y=1[/tex]
[tex]x-2y=8[/tex]
To find:
The solution to this system of equations by graphing.
Solution:
We have,
[tex]2x+y=1[/tex]
[tex]x-2y=8[/tex]
The table of values for first equation is:
x y
0 1
1 -1
Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.
The table of values for second equation is:
x y
0 -4
2 -3
Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.
The graphs of given equations are shown in the below figure.
From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).
Therefore, the solution to this system of equations is:
x-coordinate: 2
y-coordinate: -3
What is the median of this data set?
40, 12, 13, 33, 25, 17, 31
Answer:
You separate all this number then you put them in ascending order then you start to draw a line to get your median so our median is 25
Find the Circumference of a circle with a Diameter of 9 inches Group of answer choices 9 pi inches 9 pi inches^2 9 pi inches^3 108 pi inches
Answer: [tex]9\pi\ in.[/tex]
Step-by-step explanation:
Given
The diameter of a circle is [tex]d=9\ in.[/tex]
So, the radius is [tex]r=\frac{d}{2}=4.5\ in.[/tex]
The circumference is given by [tex]2\pi r[/tex]
Insert the values
[tex]\Rightarrow 2\pi \cdot 4.5\\\Rightarrow 9\pi \ in.[/tex]
Thus, the circumference of the circle is [tex]9\pi\ in.[/tex]
Which equivalent expression can be used to solve the quotient 2/3 divided by 4/5
Answer:
5/6
Step-by-step explanation:
Divide it
The equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.
What is division?Division is a method of distributing a group of things into equal parts. It is one of the four basic operations of arithmetic, which gives a fair result of sharing.
The equivalent expression that can be used to solve the quotient 2/3 divided by 4/5 is;
[tex]= \dfrac{\dfrac{2}{3}}{\dfrac{4}{5}}\\\\=\dfrac{2}{3} \times \dfrac{5}{4}\\\\=\dfrac{1}{3} \times \dfrac{5}{2}\\\\=\dfrac{5}{6}[/tex]
Hence, the equivalent expression can be used to solve the quotient 2/3 divided by 4/5 is 5/6.
Learn more about division here;
https://brainly.com/question/22850643
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YALLLL PLZ HELP ASAP TY
Solve the inequality and graph the solution on the line provided.
-5 - 7x < -40
Answer:
x > 5
solid dot on the number 5 and shading to the right
Step-by-step explanation:
-5 - 7x < -40
-7x < -35
x > 5
solid dot on the number 5 and shading to the right
Please help with last 2 domain and range
Answer:
See below for answers and explanations
Step-by-step explanation:
Top left: Since y can't be greater than 0 but is equal to 0, then the range is (-∞,0] and the domain is (-∞,∞) since there are no domain restrictions
Top right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)
Bottom left: Since y cannot be less than 2 but equal to it, and x holds no domain restrictions, then the domain is (-∞,∞) and the range is [2,∞)
Bottom right: Since both x and y have no restrictions, then the domain is (-∞,∞) and the range is (-∞,∞)
Determine whether the polygons are similar. If so, write a similarity
statement and give the scale factor. If not, explain.
Answer:
yes, because of the Angle-Angle-Angle theorem
scale factor = 2
Step-by-step explanation:
Corresponding ______ are matching sides that are in the same position in two or more polygons.
Answer:
Corresponding sides are matching sides that are in the same position in two or more polygons .
Which situation can be represented by the equation y = 25x + 50?
A. A repairman charges $25 to come to the house and $50 for each hour he works.
B. Tom pays $25 a month for a health club membership. He also had to pay a $50 registration fee.
C. Sally has $25 in her savings account. She plans on depositing $50 from each of her paychecks into her account.
D. A school store started the year with 25 pencils. Each month they added 50 more to their inventory.
which function rule represents the data in the table?
Answer:
A
Step-by-step explanation:
STAT, EDIT
a point plotted at 30.05 on a number line which of these describes the location of the point
Answer:
Between 30 and 31
Step-by-step explanation:
Please help with this math question
Identify the graphed linear question.
A. y=5x+2
B. y=5x-2
C. y= -5x+2
D. y= -5x-2
Answer:
The answer is: y= -5x-2
Step-by-step explanation:
I hope it help.
What is the volume of this triangular prism
Answer:
hey you are in 9th Or 10th class
In 20P9, how many choices are
there for the second batter if the
total number on the team is 20?
(Only 9 players will be in the lineup.)
Answer:
The answer is 19.
Step-by-step explanation:
Theres already a first batter which means that there are only 19 people that can be second batter
Simplify: x2/6 ⋅ x2/4
Answer:
x ^2/ 6
--------------------------------------------------------------------------
50 points HELP PLEASEEE
We all know how toilet paper has been horded during the pandemic. Your
teacher has cleared out a closet to hoard TP. Using the Fermi process, you need to
estimate the number of rolls of TP she can fit into a rectangular prism section of a
closet with dimensions of 36 in. by 108 in. by 36 in. Measure a roll of TP at your
home, remember it is a cylinder you need its radius and height to calculate its size.
Radius: _________ Height: ____________
About how many rolls of TP can fit into the closet section?
Answer:
radius: 78 height: 92
im so sorry if im wrong! i did math and everything!
Assume the radius is 5 and the height is 4.
We first need to find the volume of both the TP roll and the volume of the closet.
In order to find the volume of the TP roll, we need to use the formula [tex]V[/tex] = [tex]\pi[/tex][tex]r^{2}[/tex][tex]h[/tex] (r meaning radius and h meaning height), so that means we have to do 3.14 × 5 × 5 × 4.
After solving, we get 314 as our answer.
Next we need to find the Volume of the closet by using the formula L × W × H (L meaning Length, W meaning Width, and H meaning height), so that means we have to do 36 × 108 × 36.
We then get 139,968 as our answer.
The last thing we need to do is 139,968 ÷ 314.
The answer we get is 445.
So the answer to this question is: About 445 rolls of TP can fit into the closet.
HELP!!! this is graded and no links plss!!!
Answer:
396 mm squared
Step-by-step explanation:
(8 x 12) ÷ 2 = 48
48 x 2 = 96
10 x 10 = 100
100 x 3 = 300
300 + 96 = 396
Answer:
396 mm squared is what I see
(8*10^(3))(4*10^(8))
Answer:
3.2 * 10^12
Step-by-step explanation:
Answer:
3.2 * 10^12
Expanded form
32000000000000
Step-by-step explanation:
Determine the area of the shaded region.
15 m
24 m
10 m
10 m
5 m
5 m
Answer:
230
Step-by-step explanation:
If the degree of a polynomial is "6" then it must have "6" zeros/solutions
true or false
Answer:
False. The degree of a polynomial is the highest exponent any term is raised to
Step-by-step explanation:
HERE I NEED HELP!!!!!
Answer:
Area of ¼th part of circle =¼πr²=¼×3.14×12²
=113.04in²
Area of rectangle ABCD=l×b=8×17=136in²
Area of rectangle DEFG=l×b=5×3=15in²
Total area : 113.04+136+15=264.04 =264 square inches.
Answer:
area = 263.04 in²
Step-by-step explanation:
area = (8 x 17) + (5 x 3) = (0.25 x 3.14 x 12²) = 135 + 15 + 113.04 =263.04 in²
Events A and B are independent. Find the missing probability.
A.9/20
B.3/4
C.1/2
D.3/40
Answer:
B
Step-by-step explanation:
Can anyone answer questions 1-9?! I would be so happy!!! I need this before tomorrow at 2:00 (I live in FL)!!! ANYONE?! PLEASE HELP (you can message me too!)
Answer:
Not sure if your teacher would accept the answer for #3 and #6 because of how I rounded up the answer to the semicircles.
solve for x.
help asap plssss
Answer:
60
Step-by-step explanation:
The outside of the circle will measure 360 all of our known values are added up to equal 240 so subtract it from 360 to get 120
Now divide 120 by half to get 60 since the outside is double the size of the inside
Hope this helps
Answer:
60
Step-by-step explanation:
Angle R is an inscribed angle so it is 1/2 of TS. Since a circle is 360 degrees, we find TS by subtracting (90 + 150) from 360 which gives us TS = 120.
x = 1/2(120) = 60 degrees
|x+7|>3
help me pleaseeee
Answer:
x>-4
Step-by-step explanation:
|x+7| is just x+7
x+7>3
-7 on both sides
x>-4
Karen is adding a border to a rectangular poster. The border will have a uniform width of X inches and run along all four sides, so Karen uses the functions land wto model the length and width, in inches, of her poster after she adds the border. l(x) = 2x+ 18 W(x) = 2x+ 24 Which function correctly represents the total area, in square inches, of Karen's poster, when a border x inches wide is included in the area?
A. A(X) = 4x + 432
B. A(X) = 4x2 + +42x + 432
C. A(x) = 4x2 + +84x + 432
D. A(x) = 4x + 432
Answer:
B. A(x) = 4x² + 42x + 432Step-by-step explanation:
The area is the product of the width and the length:
A(x) = (2x + 18)(2x + 24) = 4x² + 42x + 432Correct choice is B
Help ASAP Please Thank You!
Answer:
Step-by-step explanation:
[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\\frac{x^{12}}{x^{10}}=x^{12-10}=x^{2}[/tex]
help me and ill give u points (math)
Answer:
64+27=97+X
x =91-97
x=-6
Use the long division method to find the result when 6x3 + 10x² + 7x + 2 is
divided by 3x + 2.
Answer:
6x3+10x2+7x+2/3x+2
Step-by-step explanation:
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-3)^2+180P(c)=−20(c−3) 2 +180
Answer:
The current that produces maximum power is 3A
Step-by-step explanation:
Given
[tex]P(c) = 20(c - 3)^2[/tex]
Required [Missing from the question]
The current that produces maximum power
First, we represent the function in standard form
[tex]P(c) = 20(c - 3)^2[/tex]
[tex]P(c) = 20(c - 3)(c - 3)[/tex]
Open bracket
[tex]P(c) = 20(c^2 -6c+ 9)[/tex]
[tex]P(c) = 20c^2 -120c+ 180[/tex]
The maximum value of c is:
[tex]Max(c) = \frac{-b}{2a}[/tex]
Where:
[tex]f(x) = ax^2 + b^2 + c[/tex]
By comparison: [tex]P(c) = 20c^2 -120c+ 180[/tex]
[tex]a = 20[/tex]
[tex]b = -120[/tex]
[tex]c = 180[/tex]
So, we have:
[tex]Max(c) = \frac{-b}{2a}[/tex]
[tex]Max(c) = \frac{-(-120)}{2 * 20}[/tex]
[tex]Max(c) = \frac{120}{40}[/tex]
[tex]Max(c) = 3[/tex]