Answer: x=-2
Step-by-step explanation:
Given
11=-4x+3
Subtract 3 on both sides
11-3=-4x+3-3
8=-4x
Divide -4 on both sides
-4x/-4=8/-4
<h2>x=-2</h2>
Answer:
40 apps
Step-by-step explanation:
12 sec ⇒ 8 apps
1 min = 60 sec
therefore, 60 sec ⇒ `60 x 8 / 12 = 40 apps
The two lines in this system of equations are parallel
Step-by-step explanation:
Let us revise the relation between 2 lines
- If the system of linear equations has one solution, then the two line are intersected
- If the system of linear equations has no solution, then the two line are parallel
- If the system of linear equations has many solutions, then the two line are coincide (over each other)
∵ The system of equation is
3x - 6y = -12 ⇒ (1)
x - 2y = 10 ⇒ (2)
To solve the system using the substitution method, find x in terms of y in equation (2)
∵ x - 2y = 10
- Add 2y to both sides
∴ x = 2y + 10 ⇒ (3)
Substitute x in equation (1) by equation (3)
∵ 3(2y + 10) - 6y = -12
- Simplify the left hand side
∴ 6y + 30 - 6y = -12
- Add like terms in the left hand side
∴ 30 = -12
∴ The left hand side ≠ the right hand side
∴ There is no solution for the system of equations
∴ The system of equations represents two parallel lines
The two lines in this system of equations are parallel
Learn more:
You can learn more about the equations of parallel lines in brainly.com/question/8628615
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The original square has the area (8 in)^2 = 64 in^2.
If we mult. this area by 36, we get the area of a larger square 2304 in^2.
The new side length is sqrt(2304 in^2), or 48. In other words, the original square has side length 8 in, but the 'new' square has side length 48 in.
Answer:
- Initial amount of the material is 67 kg
- Hal-life is 83 hours
<u>The required equation is:</u>
- m(x) = 67 *
, where m- remaining amount of the radioactive material, x - number of hours
<u>After 5 hours the material remains:</u>
- m(5) = 67 *
= 64.260 (rounded)