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Ksenya-84 [330]
3 years ago
15

Factorise using the difference of two squares: I)4x squared-(2x+3) squared

Mathematics
1 answer:
alex41 [277]3 years ago
8 0
4x² - (2x + 3)²
4x² - (2x + 3)(2x + 3)
4x² - (2x(2x + 3) + 3(2x + 3))
4x² - (2x(2x) + 2x(3) + 3(2x) + 3(3))
4x² - (4x² + 6x + 6x + 9)
4x² - (4x² + 12x + 9)
4x² - 4x² - 12x - 9
-12x - 9
-3(4x) - 3(3)
-3(4x + 3)
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Snezhnost [94]

Answer:

B. (2,8), because both equations intersect at this point

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3 years ago
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9) Gabe has a 40¢-off coupon for any kind of popcorn. He can choose
Vadim26 [7]

Answer:

Per ounce better buy is <em>Happy popcorn</em>.

Step-by-step explanation:

Given that:

Happy popcorn price for 16 ounces = $1.39

Popper popcorn price for 34 ounces = $2.79

Discount coupon present with Gabe = 40 ¢ = $0.40

To find:

Which brand is the better buy per ounce?

Solution:

First of all, let us calculate the price that Gabe has to pay after the discount coupon being applied.

Price for 16 ounces of Happy popcorn after discount = $1.29 - $0.40 = $0.99

Price for 1 ounce of Happy popcorn after discount = \frac{\$0.99}{16} = $0.062

Price for 34 ounces of Popper popcorn after discount = $2.79 - $0.40 = $2.39

Price for 1 ounce of Popper popcorn after discount = \frac{\$2.39}{34} = $0.070

Clearly, per ounce price of Happy popcorn is lesser than that of Popper popcorn.

Therefore per ounce better buy is <em>Happy popcorn</em>.

6 0
3 years ago
What is 948 divided by 1,000
lana [24]

948 divided by 1,000 is 0.948

4 0
4 years ago
A local hamburger shop sold a combined total of 500 hamburgers and cheeseburgers on Wednesday. There were 50 fewer cheeseburgers
Virty [35]

Hey there! I'm happy to help!

Let's call the hamburgers h and the cheeseburgers c.

h+c=500

c=h-50

Let's plug this value for c into the first equation to solve for h.

h+h-50=500

2h-50=500

Add 50 to both sides.

2h=550

Divide both sides by 2.

h=275

Therefore, 275 hamburgers were sold on Wednesday.

Have a wonderful day! :D

6 0
3 years ago
If f(x) = 3x2 – 4 and g(x) = 2x - 6, what is g(f(2))?
saveliy_v [14]

Answer:

10

Step-by-step explanation:

find out f(2)

f(2)= (3×2×2) - 4= 8

then g(8) = 16 - 6= 10

4 0
3 years ago
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