Answer:
(X - 3)*2
(X + 7)*5
(10 * X) + 20
Step-by-step explanation:
I used X as a replacement for "A number"
Hope this helped a bit
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Answer:
Notice on the graph y = sin x, the graph passes through the origin (0,0). Then the graph crosses the x-axis at (p,0). When we make c positive, we move the graph to the left c units
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
f(x) (8x² - 3x + 1) / (2x² + 2x +3)
the first thing I did was to graph the function to see if there was a horizonal asymptote using Desmos graphing calculator and there was and it was 4
you want to take the limit as x approaches infinity
essentially lim(x to ∞) of f(x) = 8x²/ 2x² is the dominate terms
lim(x to ∞) of f(x) = 8 / 2
lim(x to ∞) of f(x) = 4
The answer is: x = 7 - √53 or x = 7 + √53
The general quadratic equation is: ax² + bx + c =
0.
But, by completing the square we turn it into: a(x + d)² + e = 0, where:<span>
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 14x -4 = 0, which is
after rearrangement:
So, a = 1, b = -14, c = -4
Let's first calculate d and e:
d = b/2a = -14/2*1 = -14/2 = -7
e = c - b²/4a = -4 - (-14)</span>²/4*1 = -4 - 196/4 = -4 - 49 = -53<span>
By completing the square we have:
a(x + d)² + e = 0
1(x + (-7))</span>² + (-53) = 0
(x - 7)² - 53 = 0
(x - 7)² = 53
x - 7 = +/-√53
x = 7 +/- √53
Therefore, the solutions are:
x = 7 - √53
or
x = 7 + √53
