Answers
Step-by-step explanation:
dear by changing the sign by elimination method everything gets cancelled
Given:
The system of equation is
[tex]15x+12y=18[/tex]
[tex]5x+4y=6[/tex]
To find:
The solution of given system of equations by using elimination method.
Solution:
We have,
[tex]15x+12y=18[/tex] ...(i)
[tex]5x+4y=6[/tex] ...(ii)
Multiply equation (ii) by 3.
[tex]3(5x+4y)=3(6)[/tex]
[tex]3(5x)+3(4y)=18[/tex]
[tex]15x+12y=18[/tex] ...(iii)
After subtracting (iii) from (i), we get
[tex](15x+12y)-(15x+12y)=18-18[/tex]
[tex]15x+12y-15x-12y=0[/tex]
[tex]0=0[/tex]
This statement is true for all values of x and y. So, the given system of equations has infinitely many solutions and both equations represents coincident lines.
Related Questions
Adrian
Marlon had 6 hits in 15 at bats. How does Marlon's
hits to at bats ratio compare to Adrian's?
Adrian had 4 hits in 10 bats.
Answers
Answer:
Hence, both Marlon and Adrian both have the same at bats percentage.
Step-by-step explanation:
Marlon's at bats :
Number of at bats = 15
Hits = 6
Hit percentage = 6/15 * 100% = 40%
Adrian :
Number of at bats = 10
Hits = 4
Hit percentage = 4/10 * 100% = 40%
Hence, both Marlon and Adrian both have the same at bats percentage.
Use the graph to write a linear function that relates y to x
can someone help please, thank you :)
Answers
Answer:
y = 1/3x + 3
Step-by-step explanation:
Points on the graph: (0, 3) and (3, 4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4-3)/(3-0)
m= 1/3
Point-slope intercept:
y - y1 = m(x - x1)
y - 3 = 1/3(x - 0)
y - 3 = 1/3x
y = 1/3x + 3
Help !!!
Which of these could be the value of x in the triangle below?
50
29
4x
43
87
22
O 5
07
10
Answers
10 maybe? I don't really know but maybe 10 will be right?????
The Miller family must drive 8 hours to reach their destination. They drive 3 2/3 hours before stopping for the first time. Then they drive 2 3/5 hours before stopping again. How many more hours will it take the Miller family to reach their destination? Use paper to show your work. Enter your answer in the box.
Answers
Answer:
1 7/10 hours
Step-by-step explanation:
They need to drive a total of 8 hours. After they drive 3 2/3 hours, they have 4 1/3 left. Then, after another 2 3/5 hours, they now have 1 7/10 hours left.
The number of hours will it take the Miller family to reach their destination is 1¹¹/₁₅ hours.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the Miller family must drive 8 hours to reach their destination. They drive 3²/₃ hours before stopping for the first time. Then they drive 2³/₅ hours before stopping again.
The time will be calculated as,
Time = 8 - 3²/₃ - 2³/₅
Time = 8 - 11/ 3 - 13 / 5
Time = 26 / 15
Time = 1¹¹/₁₅ hours
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Which of the following cannot be determined?
a. The angle between two vectors.
b. The magnitude of a vector.
c. The point product of a vector.
d. The angle of a vector in standard position.
Answers
Answer:
C point product of a vector.
Step-by-step explanation:
Got it right on Odyssey ware
Please help me, I will give the best answer brainliest. I have a deadline finish of today, and I really want to get my work done... The following figures show the first two steps of a proof of the pythagorean theorem, which of the following statements about this proof is false? Thank you if you can help :)
Answers
Answer:
so since there isn't any pics to work with, here we go.
the pytha theorem states that a^2 + b^2 = c^2, you've probably seen/heard this all the time but really know what it means.
It means the the shorter side of the triangle (the ones that aren't the hypotenuse) multiplied by themselves, and then added together equals the hypotenuse also multiplied by itself.
So if i have a triangle with sides lengths of 3 and 4, and I want to calculate the hypotenuse length, the equation would be 3^2 + 4^2 = x^2
we then get 9 + 16 = x^2 –––––> 25 = x^2 ––––> √25 = x
so the hypotenuse equals 5.
hope this helps.
WORTH 50 POINTS!!!!!!!!!!!!!!!
1. What is the degree of the monomial 3x^2y^3?
A. 2
B. 3
C. 5
D. 6
2. What is the simplified form of 8b^3c^2 + 4b^3c^2 ?
A. 12bc
B. 12b^3c^2
C. 12b^6c^4
D. 12b^9c^4
3. What is the simplified form of (4j^2 + 6) + (2j^2 + 3) ?
A. 6J^2 --- 3
B. 6J^2 + 3
C. 6J^2 + 9
D. 4J^4 + 3
4. what is the difference of the following polynomials?
(6x^3 - 2x^2 + 4)
- (2x^3 + 4x^2 - 5)
------------------------------------
A. 4x^3 - 2x^2 - 1
B. 8x^3 + 6x^2 - 1
C. 4x^3 - 2x^2 + 1
D. 4x^3 - 6x^2 + 9
( OKAY THIS ONE EVEN HARDER ;-; )
5. f (x) = 3x^3 - 4x^2 + 6x and g (x) = 5x^3 + 2x^2 - 3x. What is f (x) - g (x) ?
A. -2x^3 - 6x^2 + 9x
B. -2x^3 - 6x^2 - 3x
C. 2x^3 + 6x^2 + 3x
D. 8x^3 - 6x^2 - 9x
------------------------------------------------------------------------------------------------------------------
i need my grades to improve a bit so please help ;(
(if you wanna do some work while listening to sugarcrash for an hour then i will send you da link!)
Answers
Answer:
2. 6j^2 + 3
Step-by-step explanation:
Answer:
A=5283
Step-by-step explanation:
Khan Academy
Multiplying decimals like 2.45x3.6 (standard algorithm)
6.13 x 8.6 = ?
Report a
Stuck? Watch a video or use a hint.
Answers
Answer:
52.718
Step-by-step explanation:
6.13 x 8.6 equal 52.718
in short
52.71
Answer:
52.718
Step-by-step explanation:
6.13x8.6=52.718
Which of the following is a FALSE statement? (15 points if answered)
Answers
Find any integer between
-3.92 and 12,4
Answers
Answer:
There are 16 integers between -3.92 and 12.4
Step-by-step explanation:
If we want to find the integers between two numbers we just need to subtract the integer numbers of the interval.
The integer interval will be:
[tex][-3,12][/tex]
Now, we subtract them:
[tex]12-(-3)=12+3=15[/tex]
Let's recall that 0 is an integer
Therefore, the answer will be 16.
I hope it helps you!
89+23-21 explain your answer
Answers
Answer:
91
Step-by-step explanation:
PEMDAS rules apply...so addition then subtraction
Score: 0 of 1 pt
x 7.3.7
Amanter on the edge of a mol has the shape a rectangular prism. It is 9 inches high, 2 inches wide, and 14 feet long. How much water can the gutter hold in cubic inches in gallons? Use the fact that
1231 inches
The gather canto cubic inches of water
Answers
Answer:
1.1 gallons
Step-by-step explanation:
Given that the shape of the gutter is in the form of a rectangular prism with length 14 feet, width 2 inches and of height 9 inches.
The volume of the gutter = length x width x height
= 14 x 2 x 9
= 252
The volume of the gutter = 252 cubic inches
But with the given fact, we divide the volume determined by 231 inches.
Then,
the required volume in gallons = [tex]\frac{252}{231}[/tex]
= 1.090908
The gutter can hold water of 1.1 gallons.
Determine if 4,1 is a solution for the equation for the system of equations
Answers
Answer:
5
Step-by-step explane:
wrw
How can you tell whether a parabola is concave up (happy face) or concave down (sad face) by looking at the vertex form equation 
Answers
The surface area of the prism is ______ square units. All measurements in the image below are in units. (Input whole number only.)
Choosing brainliest!
Answers
Answer:
78
Step-by-step explanation:
Answer:
Step-by-step explanation:
Three rectangular faces and two triangular faces.
A=4(5.5)+3(5.5)+5(5.5)+4(3)/2+4(3)/2
A=22+16.5+27.5+6+6
A=78u^2
So there are 78 square units.
Help me please I really need this to be done
Answers
Answer:
852
Step-by-step explanation:
1420 ×60% as an equation would be: 1420×.60
What is the value of x?
Answers
Answer:
X=15
Step-by-step explanation:
A +B + C = 180
2x +4x+ 6x = 180
12x =180
X= 15
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Whats 9+10
Answers
Answer:
B ruh. It’s 19
Step-by-step explanation:
Answer:
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⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡏⠀⠰⠛⠻⢿⣿⠿⠿⠟⡿⠿⢿⣿⠿⠿⣿⠃⠀⠟⠛⠿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⠀⠀⣴⡄⠀⠘⡇⠀⣤⣤⡇⠀⣼⣿⠀⢠⡏⠀⢠⣦⠀⠀⣽⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿
⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⣿⡿⠀⠀⠛⠃⠀⡼⠀⠀⣿⣿⠀⠀⠛⠃⠀⢸⠁⠀⣼⡏⠀⢠⡟⠉⢻⣿⣿⣿⣿⣿⣿⣿⣿
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21,/ or,/ 19Can someone please help? I need to show work and explain.
Answers
9514 1404 393
Answer:
Dan obviously didn't measure the remainder, which is (C) 3 11/12 ft.
Step-by-step explanation:
After the cut, Dan has ...
8 3/4 - 4 5/6 = 8 9/12 - 4 10/12
= (8 -4) +(9/12 -10/12) = 4 -1/12 = 3 11/12 . . . ft
Which table is proportional and which is not guys please help
Answers
Answer:
the first graph it proportional
Answer:
the green table is proportional and the blue isnt
Step-by-step explanation:
-5, 20, – 80, 320,
represents a geometric sequence. Let Q= -5.
Which equation is an explicit formula that represents the sequence?
Answers
Explanation: the equation for explicit formula is a (a 1 at the bottom of a) times r to the power of n minus 1
a with the 1 at the bottom just means your first term, which is -5.
R is Q which is -5
When you put that together you get -5 * -5^n-1
(The asterisk(*) means multiplication and the caret(^) means the variables and numbers after it are in exponent form.
Hope this helps!!
1
Determine the value of k if g(x)=4x+k is a tangent to f(x)=-x²+8x+20
Answers
Answer:
k=24
Step-by-step explanation:
The tangent of the function f at x=a, can be found by differentiating f w.r.t. x and then replacing x with a.
f=-x^2+8x+20
Differentiating both sides:
f'=(-x^2+8x+20)'
By sum rule:
f'=(-x^2)'+(8x)'+(20)'
By constant multiple rule:
f'=-(x^2)'+8(x)'+(20)'
By constant rule:
f'=-(x^2)+8(x)'+0
By power rule:
f'=-2x+8
f' at x=a is -2a+8
This is the slope of any tangent line to the curve f.
The slope of g is 4 if you compare it to slope intercept form y=mx+b.
So we gave -2a+8=4.
Subtracr 8 on both sides: -2a=-4
Divide both sides by -2: a=2
The tangent line to the curve at x=2 is y=4x+k.
To tind y we must first know the y-coordinate of the point of tangency.
If x=2, then
f(2)=-(2)^2+8(2)+20=-4+16+20=12+20=32
So the point is (2,32).
g(x)=4x+k and we know g(2)=32.
This gives us:
32=4(2)+k
32=8+k
k=32-8
k=24
From the tangent given, the value of k will be 24.
How to solve the tangentFrom the information given, g(x) = 4x + k and this is a tangent to f(x)= -x² +8x + 20.
f(x)= -x² +8x + 20
= f'(x) = -2x + 8
The slope of tangent = -2x + 8 at (x , y)
g(x) = 4x + k
Hence, slope = 4
-2x + 8 = 4
Collect like terms
-2x = 4 - 8
-2x = - 4
Divide both side by -2
-2x/-2 = -4/-2
x = 2
f(x)= -x² +8x +20
where, x = 2
y = -2² + 8(2) + 20
y = 32
Hence (2 , 32) lies on g(x)= 4x+k
32 = 4(2) + k
32 = 8 + k
k = 32 - 8
k = 24
In conclusion, the value of k is 24.
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So lonely have no friend
Answers
Answer:
NOICE
Step-by-step explanation:
1
Due very soon! Please help
Answers
Answer:
Step-by-step explanation:
Answer:
y = -5/4x+7
Step-by-step explanation:
How do you explain that 0.9 is equivalent to 0.90?
Answers
Answer:
it is equivalent because if you the zero to 0.9 then you will see that 0.9 and 0.90 are the same numbers.
Step-by-step explanation:
10 points...............
Answers
Answer:
It should be the second one 4,18,6
Step-by-step explanation:
Let me know if that is right . . .
Hope this helps!
slope=4; y-intercept =-5
Answers
What is the value of the expression 16 + 4 − (5 x 2) + 2?
10
12
14
18
Answers
Answer:
B:12
Step-by-step explanation:if you get a calculator and put the equation 16 + 4 - (5 x 2) + 2 you will get 12.
The value of the expression is 12.
What is BODMAS rule ?
The BODMAS rule states that an expression with more than one operators need to be solved from left to right in order of BODMAS, where B = Brackets, O = Orders, D = Division, M = Multiplication, A = Addition, S = Subtraction.
What is the required value ?The given expression is 16+4-(5×2)+2
First we have to do multiplication in bracket,
= 16+4-10+2
= 20-10+2
= 10+2
= 12
The value = 12
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Given a rhombus with a side length of 8m. There is another rhombus inside.
Calculate the sim of the perimeters of both quadrilaterals!
Answers
I am at 4 inches represents 240 miles what is the scale of the map
Answers
Answer: 1 inch = 60 miles
Step-by-step explanation:
This is simple
We need to take what we are given
240 miles with 4 inches
Let's divide 240 by 4 to get miles per inch
240/4
60 miles per inch
Answer:
60 miles per inch
Step-by-step explanation:
Hope this will help