Find the indicated limit, if it exists. limit of f of x as x approaches 0 where f of x equals 7 minus x squared when x is less t
han 0, 7 when x equals 0, and 10 x plus 7 when x is greater than 0
1 answer:
Answer:
answer is 7
Step-by-step explanation:
We are given a piecewise function which has a split at x=0
f(x) = 
To find the limit, we have to find here left hand limit and right hand limit separately.
Here left hand limit for x tending to 0 is
limit of 
as x tends to 0
= 7-0 = 7
Right limit = limit of 10x+7 as x tends to 0
=10(0)+7 = 7
Since right hand limit = left hand limit we have
there exists a limit for x=0 and the limit is 7
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Answer:
¹/15
Step-by-step explanation:
Area of the rug = s²
Where s = 2 m
Area of the rug = 2² = 4 m²
Area of the rectangular carpet = length × width
Where,
Length = 12 m
Width = 5 m
Area = 12 × 5 = 60 m²
Fraction of the carpet covered by the rug = area of the rug ÷ area of the carpet = 4/60 = ¹/15
1275 ÷ 9775= 0.1304% or 0.13%
Answer:
Step-by-step explanation:
Answer:
X = -3
Step-by-step explanation:
X/2-5 = 1
X/-3 = 1
Multiply both sides by -3 to isolate x
X = -3
Answer:
True.
Step-by-step explanation:
y = -3x + 20
Put x as 5, then y output should be 5.
y = -3(5) + 20
y = -15 + 20
y = 5
True, the line with slope -3 passes through points (5, 5).
