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Artemon [7]
3 years ago
13

Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cube

s, a3 + b3. His teacher put four products on the board and asked the class to identify which product would result in a sum of cubes if a = 2x and b = 1.
Which product should Tomas choose?
Mathematics
2 answers:
lana66690 [7]3 years ago
6 0
<span>if a = 2x and b = 1

(2x)</span>³+1³ = (2x+1)(4x²-2x+1)

I hope this helps
Ugo [173]3 years ago
5 0

Answer:

(2x + 1) (4x^2 - 2x + 1)

Step-by-step explanation:

(a + b) (a^2 - ab + b^2) when a = 2x and b =1

(2x + 1) (4x^2 - 2x(1) + 1^2) or (2x + 1) (4x^2 - 2x + 1)

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Solve using the quadratic equation -4x² + 7x + 5 = 0​
Luda [366]

Answer:

x=-0.544727

x=2.294727

Step-by-step explanation:

Given quadratic equation to solve:

  • -4x²+7x+5=0

To solve, use the quadratic formula

x= -b ±  b² - 4ac / 2a

Substitute your values for a, b, & c and solve

x= -7 ± 7² - 4·(-4)·5 / 2·(-4)

x= -7 ± 49 - -80/-8

x= -7 ± 129/-8

Then, reduce the problem

x= -7/-8 ± 129/-8

x=-0.544727

x=2.294727

4 0
2 years ago
what is the vertical height of interverted cone with the diameter of 6 cm and the slant height of 6cm?
den301095 [7]

"interverted" or "inverted?"

The vertical height of an inverted cone with base diameter 6 cm and slant height of 6 cm can be found using the Pyth. Thm. Draw or imagine a triangle whose height is h and whose base is 3 cm (not 6) and whose hypotenuse is 6 cm.

Then h^2 + (3 cm)^2 = (6 cm)^2, or h^2 + 9 cm^2 = 36 cm^2, or h^2 = 27 cm^2.

Then the height of the triangle, as well as of the cone, is h = +√27, or

h = +3√3.

6 0
3 years ago
You put $5,000 in a simple interest account at a bank. You will earn $1,200 in just 4 years. What is the annual interest rate fo
Sav [38]
<span>1200 = 5000*4r
1200/20000 = r = .06 0r 6%</span>
4 0
3 years ago
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solong [7]

Answer:

Step-by-step explanation:

the original price was the one she started at

8 0
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Please help with this!!
lozanna [386]

Answer:

#1.---60%   #2.---$12.60 per hour

Step-by-step explanation:

#1. Since It was originally $50 you have 50% already, so what I did was I multiplied 50 by 2. this got me 100 which is a simpler way to calculate by. 50 to 80 dollars is a $30 change, so multiply that by 2 and you get 60. 60 will be your percent of change. You can double check this by multiplying 50 by .60, the answer will be 30 and 50+30=80

#2 Since Tyler starts off with $12 per hour with a 5% increase you will need to multiply 12*.05 this will get you the answer of 0.6 you then need to add $12, since that was his original payment. 12+0.6=12.60, so his final payment would by $12.60 per hour

5 0
2 years ago
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