Tomas learned that the product of the polynomials (a + b)(a2 – ab + b2) was a special pattern that would result in a sum of cubes, 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?
A) (2x + 1)(2x2 + 2x – 1)
B) (2x + 1)(4x3 + 2x – 1)
C) (2x + 1)(4x2 – 2x + 1)
D) (2x + 1)(2x2 – 2x + 1)
Answers
Now replace with a= 2x, b = 1
(2x)^3 + 1^3 = (2x + 1) [ (2x)^2 -(2x)(1) + 1^2) = (2x + 1) (4x^2 - 2x + 1)
Therefore, the answer is the option C)
(2x+1)((2x)²-(2x)(1)+1²)
(2x+1)(4x²-2x+1)
C is answer
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Given the functions f(x) = 3x2, g(x) = x2 − 4x + 5, and h(x) = –2x2 + 4x + 1, rank them from least to greatest based on their axis of symmetry.
Ind the slope of the line passing through the given points, when possible. (If an answer Js undefined, enter UNDEFINED. ) (-1,-15) and (6,-15)
Answers
Answer:
1990+(10h)-2200
or
1990+(10x39)-2200
Step-by-step explanation:
he already has 1990
He earns $10 per hour
he works for 39 hours
$2,200 needed for a motorcycle
1990+(10h)-2200
or
1990+(10x39)-2200
a2 + 4a + 16
a2 + 14a + 49
a2 + 15a + 75
a2 + 26a + 169
Answers
The exactly two answers are correct are a² + 14a + 49 and a² + 26a + 169.
What are trinomials?
The condition for the perfect trinomials is if the coefficient of a² = 1 and If you divide the middle number coefficient by 2 and you square it you get the last term.
For all the options, the coefficient of a² = 1.
a² + 4a + 16.
Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.
a² + 14a + 49.
Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal to the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²
Similarly, if you test the last option.
a² + 26a + 169.
Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal to the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²
The only two options are: a² + 14a + 49 and a² + 26a + 169. Other options do not pass this test.
To know more about trinomials follow
#SPJ2
i) if the coefficient of a² = 1.
ii) If you divide the middle number coefficient by 2 and you square it you get the last term.
Take for example the first option:
For all the options, the coefficient of a² = 1
a² + 4a + 16.
Coefficient of a = 4.
4/2 = 2
2² = 4, this does not equal the last term so it is not a perfect square trinomial.
a² + 14a + 49.
Coefficient of a = 14.
14/2 = 7
7² = 49, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +7)²
Similarly if you test the last option.
a² + 26a + 169.
Coefficient of a = 26.
26/2 = 13
13² = 169, this is equal the last term so it is a perfect square trinomial.
And the perfect square is (a +13)²
So the only two options are: a² + 14a + 49 and a² + 26a + 169.
Other options do not pass this test.
multi step equation, please solve ill give brainliest (with steps)
Answers
Answer:
The answer is x=-17/3
Step-by-step explanation:
The Steps:
-8 + 5(1 + x) = 2x - 20
-8 + 5 + 5x = 2x - 20
-3 + 5x = 2x - 20
-3 + 3x = -20
3x = -17
x = -17/3
Answers
For example:
The reciprocal basically means to "flip" the fraction so...
3/4 -----> 4/3
(Only flip ONE of the fractions not both of them...you can choose either fraction for flip you'd still get the same answer)
Now instead of a division problem we have a multiplication problem now our problem looks like this:
Now we simply multiply across
As you see above I multiplied across to get a final answer of
And that's how you divide a fraction.
7 8
do the reciprocal of 6/8 OR 5/7.
5 8 40 20/21
= and simplify
7 6 42
4x + 3y = 2
Both x and y have to be the same numbers!
Answers
(3x + 5y = 7)×(-3)
(4x + 3y = 2)×(5)
-9x - 15y = -21
20x+15y =10 (-15y and and+15y cancels out)
11x = -11
x= -1
substitute the x we found into either original expressions
3(-1) + 5y = 7
-3 + 5y = 7
+3 -3+ 5y = 7+ 3
5y = 10
y=2
Check it!
4(-1)+3(2) = 2
-4 + 6 = 2
2 = 2
3(-1) + 5(2) = 7
-3 + 10 = 7
7 = 7
x= -1
y= 2
Answers
Step-by-step explanation:
4$ is equal to 400 cents, so it would be 400 cents a pound, for every 1 dollar it is the same as 100 cents
Answer:
400
Step-by-step explanation: