<span>the line over the 28 means the 28 repeats forever.
1.282828.... and so on
let x be the rational number 1.28...
we can use this trick:
100*1.282828....= 128.282828... (the decimal 28 part repeats)
100x = 128.28...
next:
100x - x = 128.282828... - 1.282828...
the .282828... part will be subtracted away
99x = 127
divide both sides by 99 to get
x= 127/99</span>
Answer:
f(x) = 2x(x - 8)
f(x) = 2(x - 2)² - 8
Step-by-step explanation:
Let the equation of the quadratic function is,
f(x) = a(x - h)² + k
Here, (h, k) is the vertex of the function.
From the graph attached,
Vertex of the parabola → (2, -8)
Therefore, equation of the function will be,
f(x) = a(x - 2)² - 8
Since, the graph passes through origin (0, 0),
f(0) = a(0 - 2)² - 8
0 = 4a - 8
a = 2
Equation of the given parabola will be,
f(x) = 2(x - 2)² - 8
= 2(x² - 4x + 4) - 8
= 2x² - 8x + 8 - 8
= 2x² - 8x
= 2x(x - 8)
Therefore, factored form of the function will be,
f(x) = 2x(x - 8)
Step-by-step explanation:
If you mean 7⁶, the exponent is 6. (A)
When written as a^m, a is a number and m is the exponent.
Answer: Rs7500
Step-by-step explanation:
First and foremost, we should realise that a square has 4 sides. Therefore, the total sides of the square will be:
= 125m × 4
= 500m
Since the rate is Rs15 per meter, then the cost of the fencing will be:
= 500 × Rs15
= Rs7500
Answer: Jason can substitute 
into the equation. The left side of the equation must be equal to the right side of the equation.
Step-by-step explanation:
The equation 
must be solved by calculating the value of the variable x:
Add like terms:
Divide both sides by -12:
Once Jason solves for x, he has to substitute into the equation and simplify to check his answers.
If his answer is right, the left side of the equation will be equal to the right side of the equation.
Then:
is a solution of the equation.
