Answer:
110
Step-by-step explanation:
Y and X have to equal 180
70+x+180
=110
Answer: 
<u>Step-by-step explanation:</u>
Term-to-term rule is also called the recursive rule.
The recursive rule for a geometric sequence is: 
where
- r is the common ratio
The common ratio (r) is the second term divided by the first term <em>(which is the same ratio for each term divided by its previous term) </em>
In the given sequence {64, 32, 16, 8, 4}, 
So, the recursive rule is: 
Answer:answer is a (x+8)^2=86
Step-by-step explanation:
x+8=±√
86
2 Break down the problem into these 2 equations.
x+8=\sqrt{86}x+8=√
86
x+8=-\sqrt{86}x+8=−√
86
3 Solve the 1st equation: x+8=\sqrt{86}x+8=√
86
.
x=\sqrt{86}-8x=√
86
−8
4 Solve the 2nd equation: x+8=-\sqrt{86}x+8=−√
86
.
x=-\sqrt{86}-8x=−√
86
−8
5 Collect all solutions.
x=\sqrt{86}-8,-\sqrt{86}-8x=√
86
−8,−√
86
−8
x
2
+16x−22=0
2 Use the Quadratic Formula.
x=\frac{-16+2\sqrt{86}}{2},\frac{-16-2\sqrt{86}}{2}x=
2
−16+2√
86
,
2
−16−2√
86
3 Simplify solutions.
x=-8+\sqrt{86},-8-\sqrt{86}x=−8+√
86
,−8−√
86
Answer:
- <u><em>Option D. 0.50</em></u>
Explanation:
1. Two-way table:
Calories per Day:
1000 to 1500 1500 to 2000 2000 to 2500 Total
Weight
120 lb. 90 80 10 180
145 lb. 35 143 25 203
165 lb. 15 27 75 117
Total 140 250 110 500
2. Total number of persons
Look at the intersection of the totals for the columns and the rows: 500
3. Number of persons that consume 1,500 to 2,000 calories in a day
Look at the total for the column 1,500 to 2,000 calories per day: 250
4. Probability that a person consumes 1,500 to 2,000 calories in a day, P
- P = number of persons that consume 1,500 to 2,000 calories / total number of persons
- P = 250 / 500 = 0.50 ↔ option D.
