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denis-greek [22]

3 years ago

8

Sue’s height is 3 inches less than Ed’s height. Ed is 56 inches tall. How tall is Sue? Write an equation to represent the situat

ion. Then solve the equation to answer the question.

1 answer:

belka [17]3 years ago

5 0

Answer:

S = E - 3

Sue is 53 inches tall.

Step-by-step explanation:

Let Sue's age be represented by S and Ed's by E

Equation:

S = E - 3

E = 56 inches

S = 56 - 3 = 53 inches

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Which description compares the vertical asymptotes of function A and function B correctly?

neonofarm [45]

Answer:

Option B:

Function A has a vertical asymptote at x = 1

Function B has a vertical asymptote at x = -3

Step-by-step explanation:

A function f(x) has a vertical asymptote if:

$\lim_{x \to\\k^+}f(x) = \±\infty\\\\ \lim_{x \to\\k^-}f(x) = \±\infty$

This means that if there is a value k for which f(x) has infinity or a -infinity then x = k is a vertical asymptote of f(x). Therefore, the closer x to k approaches, the closer the function becomes to infinity.

We can calculate the asymptote for function A.

$\lim_{x \to \\1^+}(\frac{1}{x-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{1^-1})\\\\ \lim_{x \to \\1^+}(\frac{1}{0}) = \infty\\\\and\\ \lim_{x \to \\1^-}(\frac{1}{x-1})\\\\\lim_{x \to \\1^-}(\frac{1}{0}) = -\infty$

Then, function A has a vertical asymptote at x = 1.

The asymptote of function B can be easily observed in the graph. Note that the function b is not defined for x = -3 and when x is closest to -3, f(x) approaches infinity.

Therefore x = -3 is asintota of function B.

Therefore the correct answer is option B.

8 0

3 years ago

If you checked out with boxes of pencils and your total was $26, how many boxes of pencils did you buy?

Paraphin [41]

Answer:

Depends how much each box costs

Step-by-step explanation:

Anyways just divide 26 by the cost of the boxes

Ex: The boxes cost 2$

26/2=13

So 13 boxes if they cost two dollars

5 0

3 years ago

An item on sale costs 85% of the original price. The original price was $55.

son4ous [18]

Answer:

$46.75

Step-by-step explanation:

The amount the sale item costs now is 0.85($55) = $46.75.

That 85% is equivalent to 0.85.

7 0

3 years ago

16 students are percussionist which is 20% of the students how many students are in band

11Alexandr11 [23.1K]

Answer:

80 Students are in the band class

Step-by-step explanation:

I did this mentally so sorry if it is bad

16 = 20%

+

16 = 20%

= 40% 32 students

40% +40% = 80%

32+ 32 = 64

80+20%

64+16

80 Students are in the band class

5 0

3 years ago

the floor plan is 22' in length, and 12' in width. What is the ratio of the length of the room to it's area? where Area = Length

Alenkinab [10]

The ratio of the length of the room to its area is
$\frac{22}{12 \times 22} = \frac{1}{12}$

4 0

3 years ago