Answer:
p-150
Step-by-step explanatio
p=precio
reducido=150
se redujo, quiere decir que es "-"
Entonces dice "que expresión presenta el <u>precio reducido</u>"
Entonces sería:
(precio) - (reducido)
p-150
<h3>
Answer: D) infinitely many solutions</h3>
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Explanation:
Let's solve the first equation for y
4x - 2y = 6
4x-6 = 2y
2y = 4x-6
y = (4x-6)/2
y = (4x/2) - (6/2)
y = 2x - 3
After doing so, we see that 4x-2y = 6 is equivalent to y = 2x-3
Therefore, the original system of equations is effectively listing the same equation twice (one has a different form compared to the other).
Both equations in this system produce the same graph, which leads to infinitely many solutions. All solutions are on the line y = 2x-3.
You can say that all solutions are in the form (x, 2x-3) where x is any real number you want.
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Here's another approach using substitution
4x - 2y = 6 ... start with the first equation
4x - 2( y ) = 6
4x - 2( 2x-3 ) = 6 .... replace y with 2x-3; ie plug in y = 2x-3
4x - 2(2x) - 2(-3) = 6
4x - 4x + 6 = 6
0x + 6 = 6
0 + 6 = 6
6 = 6
We get a true statement. The last equation is always true regardless of what we plug in for x, so this is another way to see how we get to infinitely many solutions.
Side note: the system is considered dependent since one equation depends on the other. The system is also consistent since it has at least one solution.
Answer:
6 ft < L₃ < 30 ft
Step-by-step explanation:
To obtain the answer to the question given above, we must bear in mind that:
The sum of the length of two sides of any triangle is always greater than the 3rd length i.e
L₁ + L₂ > L₃
With the above information in mind, we can obtain the answer to the question given above as follow:
Length 1 (L₁) = 12 feet
Length 2 (L₂) = 18 feet
Length 3 (L₃) =..?
Case 1:
L₁ + L₂ > L₃
12 + 18 > L₃
30 > L₃
L₃ < 30 feet
Case 2:
L₁ + L₃ > L₂
12 + L₃ > 18
Collect like terms
L₃ > 18 – 12
L₃ > 6 feet
Thus,
6 feet < L₃
Combining case 1 and 2,we obtained:
6 ft < L₃ < 30 ft
Therefore, the possible Lenght of the 3rd side is : 6 ft < L₃ < 30 ft
7 and 7 same length,means 180° ÷3 because triangle is 180°. so one straight line is 180°, now you know the middle triangle is 60 per 1. 180°-102°-60° u will get the "sudut"(sorry malay,i dont know what english
[email protected]#$%&!) .and 180°-60°, that means 7x+4=180°-60°. so just finish that step! goodluck
Answer:
(5,-1)
x=5
y= -1
Step-by-step explanation:
To solve this we're going to solve for one variable in either equation
so we have
x+y=4
We can subtract y and 4 from both sides to get
x-4= -y
Then divide by -1 so that y will be a positive number
-x+4=y
We can plug this in for y in the other equation
2x -2(-x+4)=12
Distribute the -2 and get
2x+2x-8=12
Combine like terms and add 8 to get
4x=20
divide and get x=5
Plug in x=5 into the first equation to get
5+y=4
subtract 5 to get y= -1
Our answer is (5,-1) or x=5 y= -1
I checked this on desmos and the math is correct
