Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
Answer:
9y(2x - 1)(x - 2y)(x + 2y)
Step-by-step explanation:
Given
18x³y - 9x²y - 72xy³ + 36y³ ← factor out 9y from each term
= 9y(2x³ - x² - 8xy² + 4y²)
Factor the first/second and third/fourth term in the parenthesis
= 9y( x²(2x - 1) - 4y²(2x - 1)) ← factor out (2x - 1) from each term
= 9y(2x - 1)(x² - 4y²)
x² - 4y² is a difference of squares and factors in general as
a² - b² = (a - b)(a + b), thus
x² - 4y²
= x² - (2y)² = (x - 2y)(x + 2y), hence
18x³y - 9x²y + 72xy³ + 36y³
= 9y(2x - 1)(x - 2y)(x + 2y) ← in factored form
Answer:
<h2>48</h2>
Step-by-step explanation:
so for every 3 Reid washes there are 4 Elsie washes
the ratio of washing is 3:4
lets add 3 and 4 up
3 + 4 = 7
now lets divide the total number of washes by the added ratio
84/ 7
=12
now we know that 1 part is 12
to find Elsie's part we need to x 12 by how many parts she has got
she washed 4 times
4 x 12
=48
Answer:
A. C = (d-ab)/a
Step-by-step explanation:
a(c + b) = d
a(c + b)/a = d/a
c + b = (d/a)
c = (d/a) - b
a(c + b) = d
ac + ab = d
ac = d - ab
ac/a = d/a - ab/a
c = (d/a) - b
Answer:
The student's GPA is 2.8666.
Step-by-step explanation:
A grade is 4.0, B grade is 3.0, C grade is 2.0. For each credit, add the value of the letter grade. So:
Math, 2 credits, grade A: (4x2=8)
English, 5 credits, grade B: (5x3=15)
Physics, 4 credits, grade B: (4x3=12)
German, 4 credits, grade C: (4x2=8)
The numbers add up to 43, then divide by the number of credits (15) to get:
43/15=GPA of 2.8666.
