Answer:
4A/ (πa) = b
Step-by-step explanation:
A = πab/4
Multiply each side by 4
4A = 4πab/4
4A = πab
Divide each side by πa
4A/(πa) = πab/ πa
4A/ (πa) = b
Answer:
A. The next 3 terms are —9, —11, —13
B. The sequence is Arithmetic
C. The sequence has a common difference of —2
Common difference = T2 — T1 or = T3 — T2
=T2 — T1 = —3 —(—1) = —2 or
= T3 — T2 = —5 —(—3) = —2
D. Tn = a + d(n—1)
a = first term = —1
d = Common difference = —2
n = 27
T27 = —1 + —2(27—1)
T27 = —1 + —2(26)
T27 = —1 —52
T27 = —53
Answer:
(5y² - 12y + 6) y²
Step-by-step explanation:
i'm going to assume that you mean to simplify the expression:
10y⁴+6y²-12y³-5y⁴ (group like terms)
= (10y⁴- 5y⁴) - 12y³ + 6y²
= 5y⁴ - 12y³ + 6y² (factor out y²)
= (5y² - 12y + 6) y²
Answer:
6x-6
Step-by-step explanation:
First you use the order of operations and multiply 4(x)+4(-2)=4x-8 and then 2(x)+2(1)=2x+2. Then you add it all together, 4x+2x+2-8=6x-6.
(hope this helps!)
Answer:
When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ 0 from the positive region.
Step-by-step explanation:
Hi there!
Let´s write the function:
f(x) = (7x³ + 2) / (4x⁵ - 3x + 1)
When x ⇒ +∞ we can neglect the constant values (2 and 1). So:
f(x) ⇒ 7x³ /(4x⁵ - 3x)
f(x) ⇒ 7x³ / x(4x⁴ - 3)
f(x) ⇒ 7x² / 4x⁴
f(x) ⇒ 7/4x² ⇒ 0 from the positive region
when x ⇒ -∞
f(x) ⇒ 7/ 4x² ⇒ 0 from the positive region because x² is always positive.
Then when x is a very big number (positive or negative), f(x) will be approximately 0 and positive.