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Mrac [35]
3 years ago
15

Factor completely 49q^4 - 4​

Mathematics
2 answers:
nadezda [96]3 years ago
7 0

Step-by-step explanation:

49q^4-4

(7q^2)^2-(2)^2

(7q^2+2)(7q^2-2)

Brrunno [24]3 years ago
5 0

Rewrite it in the form a^2 - b^2, where a = 7q^2 and b = 2

(7q^2)^2 - 2^2

Use the Difference of Squares; a^2 - b^2 = (a + b)(a - b)

<u>= (7q^2 + 2)(7q^2 - 2)</u>

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Johnathan makes $27 per hour and works 25 hours per week. Every week, he has to sell 20 items. If he sells more than 20 items in
ser-zykov [4K]

Answer:

Total income = 27 \times 25 + 14% of $1000<em>= $815</em>

<em></em>

Step-by-step explanation:

Number of hours for which Johnathan worked = 25

Salary for each hour = $27

So, income for 25 hours = 25 \times 27 = $675

Now, it is given that he has sold 25 items.

Sales made beyond the 20 items = $1000

Additional income for additional sales = 14% on each set of 5 items

He has sold exactly 5 additional items that means 1 set of 5 additional items.

So, Additional income for additional sales = 14% \times 1000 = $140

Therefore, total income of this week = Income for 25 hours + Income due to additional sales of 5 items

Therefore Total income = 27 \times 25 + 14% of $1000<em>= $815</em>

7 0
3 years ago
Use the Distributive Property to rewrite each expression.<br><br> 4 (h - 5g)
snow_tiger [21]

Answer:

4h - 20g

Step-by-step explanation:

According to the Distributive Property, you should multiply (distribute) the 4 across the parentheses.

4(h - 5g)

= (4•h) - (4•5g)

= 4h - 20g

5 0
3 years ago
Read 2 more answers
4) Last week Jason had 16 dollars and Sam had 11 dollars. Jason washed
dmitriy555 [2]

Answer:

this is a trick question. The answer would be 67.

Step-by-step explanation:

It is 67 because 16 dollars he made last week. BUT it says "and now has 67 dollars." that "and" meaning total sum. Maybe I'm wrong but this is my guess.

8 0
3 years ago
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ArbitrLikvidat [17]

Answer:2

Step-by-step explanation:

Given

The derivative of a function is f'(x)=3x^2-6x+4

The slope at (2,9) is

\Rightarrow 3(2)^2-6\times 2+4=4

the tangent at (2,9) is parallel to another tangent at (a,b) i.e. their slopes are equal

\Rightarrow 4=3a^2-6a+4\\\Rightarrow 3a^2-6a=0\\\Rightarrow\ 3a(a-2)=0\\\Rightarrow a=0\ \text{or}\ a=2

4 0
3 years ago
Can someone please help this exam is timed!!
grigory [225]

Answer:i think all real numbers greater than or equal to -2

Step-by-step explanation:

hope this helps

5 0
3 years ago
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