Answer:
The equation is 7 + x = -10
The answer to this equation is x = -17
Step-by-step explanation:
The way we find this answer is by subtracting 7 from both sides.
We do this because we want x by itself.
so -7 + (-10) is -17
The end result is -17.
A standard trick for finding the rational form of a repeated decimal:
Multiply by an appropriate power of 10 to move one "cycle" of the repeated pattern to the left side of the decimal point:
Now subtract
from this number and we lose the fractional part:
And from here you can solve for
.
<h2>f</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>x</h2><h2>3</h2><h2>−</h2><h2>9</h2><h2>x</h2><h2>2</h2><h2>+</h2><h2>24</h2><h2>x</h2><h2>−</h2><h2>10</h2><h2>Taking first derivative of</h2><h2> </h2><h2> </h2><h2>f</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>3</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>18</h2><h2>x</h2><h2>+</h2><h2>24</h2><h2>For finding critical points substituting</h2><h2> </h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>f</h2><h2>′</h2><h2>(</h2><h2>x</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2> </h2><h2>⇒</h2><h2>3</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>18</h2><h2>x</h2><h2>+</h2><h2>24</h2><h2>=</h2><h2>0</h2><h2> </h2><h2>⇒</h2><h2>3</h2><h2>(</h2><h2>x</h2><h2>2</h2><h2>−</h2><h2>6</h2><h2>x</h2><h2>+</h2><h2>8</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>(</h2><h2>x</h2><h2>−</h2><h2>4</h2><h2>)</h2><h2>(</h2><h2>x</h2><h2>−</h2><h2>2</h2><h2>)</h2><h2>=</h2><h2>0</h2><h2>After solving the value of x is</h2><h2>x</h2><h2>=</h2><h2>2</h2><h2>,</h2><h2>4</h2><h2>Thus critical points at</h2><h2> </h2><h2> </h2><h2>x</h2><h2>=</h2><h2>2</h2><h2>,</h2><h2>4</h2>
Answer:
The clue to find 'x' is-
- As both, the lines here are intersecting at a point to form VERTICALLY OPPOSITE ANGLES.
According to this theory (2x+20)=60
So, (2x+20)=60
= 2x=60-20
= 2x= 40
= x=40/2
= x=20 degrees
Using technology, the regression equation is
y=9.08292(1.09965)ˣ.
The number of recommendations after 60 days is 2113.277 ≈ 2113.
Explanation
I used Desmos to graph the points, then entered the expression y₁~a*bˣ to calculate the regression.
I then substituted 60 in for x in the regression equation to get the answer of 2113.
