Answer:
(x+1)(x+10)
Step-by-step explanation:
You must find two numbers that multiply to make 10 and add to make 11. In this case those numbers are 1 and 10 (1×10=10, 1+10=11)
The pattern is that you multiply the term number by 4 or
add four to the last/previous number in the sequence
The inequality that best describes the width of the garden is
Width ≤ 6 yards
Area ≤ Length* Width
<h3>Given data</h3>
Length = 5 yards
Width = ??
Area = 30 square yards
From the formula of the area of rectangle we have
Area = Length * Width
Let the width be x
Substitute
30 = 5 * x
30 = 5x
Divide both sides by 5
x = 30/5
x = 6 yards
Hence the with should be less than or equal to 6 yards
Learn more about area of rectangle here:
brainly.com/question/2607596
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.
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