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svlad2 [7]
3 years ago
15

Which products result in a difference of squares? Check all that apply.

Mathematics
1 answer:
Amanda [17]3 years ago
5 0

Answer:

2nd - (w - 5)(w + 5)

4th - (-4v - 9)(-4v + 9)

Step-by-step explanation:

1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares

2. The second option does show the difference of squares because it is in the form (a + b)(a - b)

3. The third option is just a square because the same expression is multiplied by itself.

4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.

5. The fifth option is not the difference of squares. No term in common in both expressions

6. The sixth option is just a square because the same expression is multiplied by itself.

In all, there are two options that are the difference of squares, the 2nd and 4th.

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Dana buys a new computer that cost $675. Sales tax is 7%. What is the total cost?
Iteru [2.4K]

Answer:

722.25

Step-by-step explanation:

675x1.07

1 would be 675. Since there is a 7 percent sales tax, it would be 107 percent of the cost.

5 0
3 years ago
Read 2 more answers
Your friends ate at a restaurant and left a $2.40 tip. They left a 15% tip. What was the cost of their bill before the tip?
zhannawk [14.2K]

Answer:

16$ is the bill

Step-by-step explanation:

so 2.40 is 15% of the bill, what i'd do is first divide 2.40(15%) by 3 to get 5% which can make this much easier, 2.40÷3=0.80. this means that 1.60 is 10% since 0.80 is 5%. so now we do 1.60×10=16$

3 0
2 years ago
Read 2 more answers
Guest ages at a ski mountain resort typically have a right-skewed distribution. Assume the standard deviation (σ) of age is 14.5
ValentinkaMS [17]

Answer: (30.49 years, 42.31 years)

Step-by-step explanation:

The formula to find the confidence interval is given by :-

\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}.

, where \overline{x} = Sample mean

z* = Critical value.

\sigma = Population standard deviation.

n= Sample size.

As per given , we have

\overline{x}=36.4

\sigma=14.5

n= 40

We know that the critical value for 99% confidence interval : z* = 2.576 (By z-table)

A 99 percent confidence interval for µ, the true mean age of guests will be :

36.4\pm (2.576)\dfrac{14.5}{\sqrt{40}}\\\\ 36.4\pm (2.576)2.29265130362\\\\=36.4\pm5.90586975813\\\\\approx36.4\pm5.91\\\\=(36.4-5.91,\ 36.4+5.91)\\\\=(30.49,\ 42.31)

∴ a 99 percent confidence interval for µ, the true mean age of guests  = (30.49 years, 42.31 years)

7 0
3 years ago
The product of two consecutive even positive integers is 674 more than the sum of the two integers. Find the integers.
IrinaVladis [17]
2n(2n+2)=2n+2n+2+674\\
4n^2+4n=4n+676\\
4n^2=676\\
n^2=169\\
n=-13 \vee n=13
-13\not\ \textgreater \ 0

n=13\\
2n=26\\
2n+2=28

It's 26 and 28.
7 0
3 years ago
A bag contains white marbles and red marbles, 20 in total. The number of white marbles is 5 more than 2 times the number of red
Nitella [24]

Answer:

15

Step-by-step explanation:

let r represent red marbles then white = 2r + 5 and total is 20, thus

r + 2r + 5 = 20 ( subtract 5 from both sides )

3r = 15 ( divide both sides by 3 )

r = 5 ← number of red marbles

Thus number of white = 20 - 5 = 15

7 0
3 years ago
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