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Answered @ 19/08/2019 05:53 PM By answersmine

Rose works for 8 hours a day for 5 days a week. So that would be 40 hours a week. (8×5=40). Next, she will be working for the next 6 weeks so that would be (40×6=240) 240 hours of work for 6 weeks. The answer is 240 hours.

**Answer:**

A. 4.5%; November 25

**Step-by-step explanation:**

4.5/10 EOM is a type of payment term you will see on an invoice. The 4.5 stands for discount percentage and the 10 is a number of days. 4.5/10 means the payment on the invoice is due in 10 days. **EOM **stands for **end of the month**. **So if the amount is paid within 10 days, the customer gets a discount of 4.5%**. Which means the last day to pay in full is ** November 25**. After that there is no discount.

**Answer:**

1.25 cups or 1 1/4 cups

**Step-by-step explanation:**

Note that half of 12 muffins is 6 muffins.

If making 12 muffins requires 2.5 cups of flour, then halving both measurements results in 1.25 cups of flour per 6 muffins.

**Answer:**

220500

**Step-by-step explanation:**

You can find this by turning the equation into an exponential equation. We can do this by writing y=200000×1.05^x

x represents the years since 2014

since it has been 3 years you plug in 3 for x. This gives you 200000×1.05^3.

Which simplifies to 200000×1.1025

Finally you end up with $220500

**Answer:**

**Step-by-step explanation:**

No, her answer is not correct. We square the lengths of all sides and then determine whether the Pythagorean Theorem holds here:

9² + 15² = 306. This is not equal to the square of the longest side ( that square being 395. Answer C is correct.

**Question 1:**

For this case we must simplify the following expression:

We factor the numerator of the expression, looking for two numbers that when multiplied give as a result 2 and when summed give as result 3. These numbers are 2 and 1.

So:

Rewriting the expression we have:

Simplifying common terms in the numerator and denominator, we have that the expression is reduced to:

**ANswer:**

**Option A**

**Question 2:**

For this case we must find the value of the variable "x" of the following expression:

Multiplying by 12 on both sides of the equation we have:

We add 1 to both sides of the equation:

**ANswer:**

**Option A**

**Question 3:**

For this case we must find the domain of the following function:

The domain of a function is given by all the values for which the function is defined.

The given function is not defined when the denominator is 0.

Thus, the domain is given by all real numbers except 2.

**Answer:**

**OPTION C**

**Question 4:**

For this case we must simplify the following expression:

We take common factor 3 from the numerator of the expression:

We can write 6 as

Rewriting the expression we have:

Simplifying common terms of the numerator and denominator we have that the expression is reduced to:

**ANswer:**

**Option D**

**Question 5:**

For this case we must find the vertical asymptotes of the following function:

We have by definition, that the vertical asymptotes are vertical lines to which the function is approaching indefinitely without ever cutting them.

To locate the vertical asymptotes in rational functions, we find the values of "x" that annul the denominator, but not the numerator.

So:

We factor the denominator, looking for two numbers that when multiplied by -2 and when added together give 1. Thus:

Now, equaling the denominator to zero, we have that the vertical asymptote occurs in areas of infinite discontinuity of:

**Answer:**

**Option C**

**Question 6:**

For this case we must find the discontinuities and zeros of the following function:

We have by definition, that if a function is not continuous at a point, it is said that the function has a discontinuity at that point and that the function is discontinuous.

The function is undefined where the denominator equals 0.

It is a discontinuity.

Now, we factor the numerator looking for two numbers that multiplied by 6 and added by 5. These numbers are 3 and 2. Then:

Now we find the zeros of the funicon, for that we replace f (x) with y.

We eliminate common terms from the numerator and denominator.

To find the roots, we do y = 0:

**ANswer:**

**Option B**

**Question 7:**

For this case we must find the discontinuities and zeros of the following function:

We have by definition, that if a function is not continuous at a point, it is said that the function has a discontinuity at that point and that the function is discontinuous.

The function is undefined where the denominator equals 0. Then:

The function is discontinuous for and

Now factoring the denominator we have:

(x-3) (x + 3)

To find the zeros of the function we change f (x) by y.

We make y = 0:

So, the zeros of the function are at

**ANswer:**

**The function is discontinuous for and **

**The zeros of the function are at **

**Question 8:**

For this case we have:

x: Variable representing red fish

y: Variable representing blue fish

They tell us that:

Then, we substitute the second equation in the first one;

So, there are 20 blue fish.

**Answer:**

**20 blue**

**Answer:**

£13860.44

**Step-by-step explanation:**

59.95 / 5 = 11.99

£11.99 for 1 day

11.99 * 1156 = 13860.44

**Answer:**

25

**Step-by-step explanation:**

The book is 420 pages long and he reads 45 pages so he has 375 pages left.

The will read equal amounts during the next 15 days so 375 ÷ 15 = 25

**Answer:**

None will be left.

**Step-by-step explanation:**

John needed 1000 Muffins a week for his party

Each person ate 100 Muffins

So there were = 10 people in the party and they ate all the Muffins.

No Muffins were left over.

**Answer:**

C) $5.60

**Step-by-step explanation:**

1. Cost of single-ride passes for a month: 16 days * $2.30/day * 2 rides/day= *$73.60*

2. Cost difference: $73.60 - $68 = **$5.60**