1, a.) The two specific conjectures are in the first image.
1, b.) The two general conjectures are in the second image.
2, a.) Two specific conjectures for this pattern are:
- The common difference between two consecutive terms is 3.
- And the given difference is A.P.
2, b.) From our observation two general conjecture is that the given sequence is an arithmetic sequence and the common difference is 3.
For finding its nth term we can use the formula: a(n) = a + (n-1) x d.
2, c.) A formula for the given pattern is 5 + (n-1)3, where n is the number of the term.
Answer:
The plane flew for 3 hours at 105mph and 115mph for 5 hours
Step-by-step explanation:
Answer:
(4x + 7) or
(16x^2 - 28x + 49)
Step-by-step explanation:
This is the sum of cubes. If you have choices you really should list them because often the way we write answers is not in agreement with what you are given.
Step One
Factor 64x^3 and 343 into prime factors.
64x^3: 4*4*4*x * x *x
343: 7 * 7 * 7
Step Two
Factor using the sum of cubes.
(4x + 7)([4x]^2 - 7*4x + 7^2)
(4x + 7)(16x^2 - 28x + 49)
Answer:
60 books
Step-by-step explanation:
let the number of books Willy has be x , then
Tammy has 4x books
Willy has 180 fewer books , that is Tammy has 180 more than Willy , so
4x = x + 180 ( subtract x from both sides )
3x = 180 ( divide both sides by 3 )
x = 60
Thus
Willy has 60 books andTammy has 4 × 60 = 240 books
which is 180 more than Willy
We have an equation: 250/?= 50/100
Cross multiply:
50*?= 250*100
⇒ ?= 250*100/50= 500
The number is 500~
We have another equation: ?/500= 80/100
Cross multiply:
100*?= 80*500
⇒?= 80*500/100= 400
80% of 500 is 400~
