Answer:
x=
7
2
+
1
2
√69 or x=
7
2
+
−1
2
√69
Step-by-step explanation:
Step 1: Subtract 5 from both sides.
x2−7x−5=5−5
x2−7x−5=0
Step 2: Use quadratic formula with a=1, b=-7, c=-5.
x=
−b±√b2−4ac
2a
x=
−(−7)±√(−7)2−4(1)(−5)
2(1)
x=
7±√69
2
x=
7
2
+
1
2
√69 or x=
7
2
+
−1
2
√69
Answer:
- <u>The multiplicative rate of change of the function is 0.5</u>
Explanation:
The <em>multiplicative rate of change</em> is the ratio between consecutive entries.
Naming r the multiplicative rate of change, if it is constant you get:
- r = second entry / first entry = third entry / second entry = fourth entry / third entry.
Here:
- second entry / first entry = 0.125 / 0.25 = 0.5
- third entry / second entry = 0.0625 / 0.125 = 0.5
- fourth entry / third entry = 0.03125 / 0.0625 = 0.5
Thus, the multiplicative rate of change is 0.5. It means that you can obtain each entry as the product of the previous entry times 0.5:
- 0.25 × 0.5 = 0.125
- 0.125 × 0.5 = 0.0625
- 0.0625 × 0.5 = 0.03125
In general, exponential functions have constant multiplicative rate of changes.
This shows the multiplication between 3 and 23. So your word problem will have to show that. Jean buys three packs of gum. Each pack has 23 pieces. How many pieces of gum does Jean have in total? :)
Since the x coordinates are 2 for (2,-2) and (2,5), you can assume that the 4th vertex's x coordinate would be (-1) since there is only one coordinate with -1 given.
It should be (-1,-2) since the 1st vertex should correspond to the 4th
