Find Lim f(x) as x->0
for
f(x)=5x-8 ......x<0
f(x)=|-4-x|......x ≥ 0
Clearly
f(0)=|-4-0|=|-4|=4 exists.
The left-hand limit, as x-> 0- is f(0-)=5(0)-8=-8
The right hand limit, as x->0+ is f(0+)=|-4-0|=|-4|=4
Since the left and right limits do not both equal f(0), the limit does not exist.
Answer:
395.2 cm²
Step-by-step explanation:
2x12.7x6.72=170.688
2x6.72x5.78=77.6832
2x5.78x12.7=146.812
170.688+77.6832+146.812=395.1832
Answer:
3(n+5)=-30
Step-by-step explanation:
Three times the sum of a number and 5 is - 30
Vocabulary:
times = multiplication, represented with *
sum = addition, represented by +
unknown number = n
Three * the sum of a number and 5
The sum of a number and 5 is the same as saying n + 5
So we are multiplying 3 by n + 5
Because n is an unknown variable we have to separate the sum of n and 5 from being multiplied by 3 with parenthesis. We do this because if we want to multiply 3 by the sum of n and 5. If we put 3 * n + 5 we are only multiplying the unknown variable by 3 not including the 5 that is added to it.
So we get 3( n + 5 ) is -30
3(n+5)=-30 is the answer.
Answer:
13/8 = 1 5/8
Step-by-step explanation:
first make 3 1/4 into an improper fraction
3 1/4 = (3*4+1)/4 = 13/4
13/4 /2
we know that dividing by a number is multiplying by its reciprocal, so
(13/4)/2 = 13/4 * (1/2)
multiply the numerators together, and multiply the denominators together
13/4 * (1/2) = (13*1)/(4*2) = 13/8 = 1 5/8
Step-by-step explanation:
x > -1
x = {0,1,2,...}
