Answer:
Step-by-step explanation:
we know that
The absolute value function has two solutions
Observing the graph
the solutions are
and 
First solution (case positive)
assume the symbol of the first solution and then compare the results
Second solution (case negative)
Multiply by -1 both sides
substitute the value of b and compare the results
-------> is correct
See the attached figure
===========================
<span>After
3 days, the total number of belts sold will be the same as the total
number of wallets sold. The number of belts and the number of wallets
Mr. Matthew sold after this many days is
27.
</span>
======================================================
Explanation of the answer:
<span>The equation that represents the number of belts sold = 3^x ⇒⇒⇒ blue graph
</span>
<span>The equation that represents the number of wallets sold = 4x+15 ⇒⇒⇒ red graph
</span>
The point of intersection represents <span>the total number of belts sold will be the same as the total number of wallets sold.</span>
I would add 7 to get ...
... 2x² = 16
then divide by 2 to get
... x² = 8
Now, I would take the square root, recognizing that both positive and negative values will solve the problem.
... x = ±√8
The root can be simplified, so we have ...
... x = ±2√2
_____
The above method seemed the most obvious method to me. One could use the quadratic formula, but that seems to involve more operations.
... 2x² -16 = 0 . . . . subtract 9
... x = (-0 ± √(0² -4·2·(-16)))/(2·2) . . . . put the coefficients into the formula
... x = ±(√128)/4 = ±√8 = ±2√2 . . . . . simplify the result
The point
lies on the unit circle.
The reference angle for 245° is 65°.
Since 245° lies in the third quadrant,
cosine is negative and sine is negative
Therefore 245° intersect the unit circle at
In terms of x and y, 245° intersects the unit circle at
