3x-5=-6x+13 : Given
3x=-6x+18 : Addition property of Equality
9x=18: Subtraction property of Equality
x=2: Division Property of Equality
Step-by-step explanation:
We need to give justification to each step
Step 1:
3x-5=-6x+13
This is the question given, which we need to solve and find value of x.
Justification: Given
Step 2:
Adding 5 on both sides of the equation using addition property of equality.
3x-5+5=-6x+13+5
Simplifying
3x=-6x+18
Justification: Addition property of Equality
Step 3:
Adding 6x on both sides of the equation
3x+6x=-6x+18+6x
9x=18
Justification: Subtraction property of Equality
Step 4:
Divide both sides of the equation by 9, to find the value of x using division property of equality
9x/9=18/9
x=2
Justification: Division Property of Equality
Keywords: Solving Equations
Learn more about Solving Equations at:
#learnwithBrainly
Answer:
Florida
Step-by-step explanation:
im yupp ty of course and the fact is the fact is the
Side of the original square is 5 cm.
Step-by-step explanation:
- Step 1: Let the side of the original square be x. Then side of the new square = x + 3 and Area of new square = 64 cm²
Area of a square = (side)²
⇒ 64 = (x + 3)²
⇒ 64 = x² + 6x + 9
⇒ x² + 6x - 55 = 0
⇒ x² + 11x - 5x - 55 = 0 (Since 6x = 11x - 5x as part of factorizing)
⇒ x(x + 11) - 5(x + 11) = 0
⇒ (x + 11)(x - 5) = 0
⇒ x = -11 and x = 5 (Lengths can't be negative)
Side of the original square is 5 cm.
Answer:
The translation corresponds to : ![g(x)=\sqrt[3]{x-4}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7Bx-4%7D)
which is the first option in your list of possible answers
Step-by-step explanation:
Notice that this new function's graph responds to a horizontal translation to the right of the original graph of ![f(x)=\sqrt[3]{x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%5B3%5D%7Bx%7D)
. Notice that the crossing of the x-axis, which for f(x) is at the origin (0, 0), has now moved to the point (4,0), which means a translation to the right in exactly 4 units.
Recall that horizontal translations are performed by subtracting from the independent variable (x) , the number of units you move (in this case 4)
Therefore the new function should look like:
Answer: 7 to 4
Step-by-step explanation: There are 16+12=28 total students, and 16 boys. Therefore, the ratio is 28:16, but you must simplify that, you can do this by dividing both values by 4 to get 7:4.
