What are the answers and why?

Answers

Answer 1

Answer:

Answer:

$\boxed{\text{(v) and (viii)}}$

Step-by-step explanation:

The three step test for continuity states that a function ƒ(x) is continuous at a point x = a if three conditions are satisfied:

f(a) is defined.
The limit of ƒ(x) as x approaches a exists.
The limit of ƒ(x) as x approaches a is equal to f(a).

(i) Left-hand limit = right-hand limit.

Pass. The limit from either side is 8.

(ii) Left-hand limit = limit.

Pass. If the limits from either direction exist, the limit exists.

(iii) Limit as x ⟶ ∞ is not part of the three-step test.

(iv) Limit as x ⟶ 1 exists. Pass.

(v) f(1) is defined.

FAIL. f(1) is not defined.

(vi) Limit as x ⟶ ∞ is not part of the three-step test.

(vii) Passing the three-step test is not a step in the test.

(viii) The limit as x ⟶ 1 does not equal f(1).

FAIL. f(1) is undefined.

The steps in the three-step test for which the function fails are $\boxed{\textbf{(v) and (viii)}}$ .

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The school held a bake sale as a fundraiser. The bake sale only accepted quarters, loonies, and toonies.⅓ of the coins in the bank are quarters and ⅕ of the coins are loonies. There are 48 toonies.

How much money did the fundraiser make?

Answers

Answer:

There are 102 coins total:

34 Quarters

20 loonies

48 toonies

Step-by-step explanation:

Assuming money is counted in coins instead of value, it can be solved like this.

1. find a common denominator for 1/3 and 1/5. We can use 15. So, of the money collected, 5/15 were quarters and 3/15 were loonies. This makes 7/15 toonies. If there are 48 toonies, we can divide this by 7 to find the value of 1/15. 48/7 = 6 6/7. Multiply this number by 15 (for each value) and you get 102 6/7.

There are 102 coins total:

34 Quarters

20 loonies

48 toonies

Kendra is buying bottled water for a class trip.She has 16 bottles left over from the last trip.She buy bottles by case to get a good price.Each case holds 24 bottles.How many cases will she to have to buy if she wants to have a total of 160 bottles of water??.

Answers

She will have to get 6 cases of water.

If ΔABC and ΔXYZ are congruent, which of the following statements below is not true?A
Angle B and angle Y are congruent.

B
Angle CBA and angle ZXY are congruent.

C
AB and XY are congruent.

D
AC and XZ are congruent.

Answers

The statement not true is : B. Angle CBA and angle ZXY are congruent.

Step-by-step explanation:

When two triangles are congruent,then each part of the triangle, side/angle is congruent to the corresponding part in the other triangle.Remember that Corresponding Parts of Congruent Triangles are Congruent, thus apply the technique when handling similar questions.

Learn More

Congruent triangles : brainly.com/question/12077512

Keywords: congruent, statement, triangles

#LearnwithBrainly

Point B, located at (-5, -8), is translated 4 units down. What are the coordinates of point B'?(-5, -4)

(-9, -8)

(-1, -8)

(-5, -12)

Answers

The answer is:
(-5,-12)

Solve the system 2x+3y=18 X-y=-1

Answers

Step-by-step explanation:

2x + 3y = 18

x - y = -1

therefore

x = y - 1

we use this identity in the first equation :

2(y - 1) + 3y = 18

2y - 2 + 3y = 18

5y - 2 = 18

5y = 20

y = 20/5 = 4

x = y - 1 = 4 - 1 = 3

Log (base 8) 2 +log (base 8) 4x^2 =1

Answers

Log (base8) 2 = 1/3

Log (base 8) (4x^2) + Log (base 8) 4 + 2Log (base 8) x = 2/3 + 2 Log (base 8) x

1/3 + 2/3 + 2 Log (base 8) x = 1

2 Log (base 8) x = 0

Log (base 8) x = 0

x = 8^0

x = 1.

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