Answer:
10, 11, 12
Step-by-step explanation:
Hi there!
Let <em>x</em> be equal to the smallest integer.
Let <em>x</em>+1 and <em>x</em>+2 be equal to the consecutive integers.
We're given that:
⇒ smallest integer + 2 × middle integer = 20 + largest integer
Construct an equation:
Combine like terms:
Therefore, the smallest integer is 10.
This makes the consecutive integers 11 and 12.
I hope this helps!
Answer:
-2 +/- [(sqrt 88)/ 4]
or
0.35, -4.35 to the nearest hundredth.
Step-by-step explanation:
2x^2 + 8x - 3 = 0
Using the quadratic formula:
x = [ -8 +/- sqrt (8^2 - 4*2*-3) ] / 4
= -2 +/- (sqrt 88)/ 4
Answer: Printer A can print (576/48) 12 pages per minute. Printer B can print (1104/48) 23 pages per minute
Step-by-step explanation:
Answer:
341
Step-by-step explanation:
The number of people who know the art of quilting in each successive generation is
1, 4, 16, …
These numbers represent a geometric sequence where each term has the form
aₙ = a₁rⁿ⁻¹
In your sequence, a₁ = 1 and r = 4.
Then, the formula for your sequence is
aₙ = 4ⁿ⁻¹
Sum over five generations
The formula for the sum of the first n terms of a geometric series is
Sum = a₁[(1 - rⁿ)/(1 - r)]
Sum = 1[(1 - 4⁵)/(1 - 4)
= (1 - 1024)/(-3)
= -1023/-3
= 341
If the process continues for five generations, 341 people will know the art of quilting.
Answer:
In B) y = x/7 , the constant of proportionality is 7.
Step-by-step explanation:
Two quantities X and Y are said to be in proportion if and only if
X = kY or, 
,
where k = Proportionality Constant.
Here, 7 is the constant of proportionality. Then,
A . y = 14x
here, 
≠ 7
B . y = x/7
here, 
= constant of proportionality .
C. y = x
here, 
≠ 7
