Answer:
Option c
Step-by-step explanation:
given that limit x tending to 4 of the function (3x-4) is 8
This implies for all values of x such that for epsilon >0 arbitrary small ,
, we get
|f(x)-8|<3epsilon
this is equivalent to the option c.
Proof:
Consider
Hence it follows that option C is right.
Answer: 6 pieces
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Explanation:
3/4 = 6/8 after multiplying both parts by 2
We have a ribbon that is 6/8 of an inch long. We want to cut it into 1/8 inch pieces. We can see there will be exactly 6 pieces
Note how 6*(1/8) = 6/8
Or we can think of it as "we have a ribbon that is 6 units long and we want to cut it into pieces that are 1 unit each, so we'll have 6 pieces total". Replace "unit" with "1/8 inch" and you'll have the same idea.
Answer:
B. m ∠ 1 = 90° and m ∠ 2 = 90°
Step-by-step explanation:
For most situations, the conjecture would probably be true, but there is one exception that makes this statement false.
When two right angles are supplementary, none of them is acute.
For an angle to be acute it needs to be lesser than 90°, and for a pair of angles to be supplementary they should add up to exactly 180°.
With a pair of right angles (90° each), their sum adds up to 180° but neither of them are acute.
Therefore, the answer is B. m ∠ 1 = 90° and m ∠ 2 = 90°
Answer:
The price per book that Mary purchased is $12
Step-by-step explanation:
Mary's total cost can be expressed as;
C=(p×n)+s
where;
C=total cost
p=price per unit of books
n=number of books purchased
s=shipping fee
In our case;
C=$55.25
p=unknown
n=4
s=$7.25
replacing;
55.25=(4×p)+7.25
4 p+7.25=55.25
4 p=55.25-7.25
4 p=48
p=48/4
p=12
The price per book that Mary purchased is $12
