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Brilliant_brown [7]
3 years ago
7

If f(x)=x2+3x+5 what's is f(3+h)

Mathematics
1 answer:
Nikolay [14]3 years ago
7 0

(3+h)2+3(3+h)+5

Distribute the 2 to 3+h and the 3 to 3+h

6+2h+9+3h+5

add like terms

20 + 5h 

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Which factorization is incorrect? 1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)2 2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)2 3) 2
Andru [333]

Answer:

The second option is the incorrect:

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

Step-by-step explanation:

Let's check each one of the factorizations:

1) x3 + 5x2 + 4x + x2 + 5x + 4 = (x + 4)(x + 1)^2

(x + 4)(x + 1)^2 = (x + 4)(x2 + 2x + 1) = x3 + 6x2 + 9x + 4

x3 + 5x2 + 4x + x2 + 5x + 4 = x3 + 6x2 + 9x + 4

This one is correct.

2) 4d3 – 4d2 – 9d + 9 = (d – 1)(2d – 3)^2

(d – 1)(2d – 3)^2 = (d - 1)(4d2 - 12d + 9) = 4d3 - 16d2 + 21d - 9

4d3 – 4d2 – 9d + 9 = 4d3 - 16d2 + 21d - 9

This one is incorrect.

3) 27h3 – 8k3 = (3h – 2k)(9h2 + 6hk + 4k2 )

(3h – 2k)(9h2 + 6hk + 4k2 ) = 27h3 - 8k3

This one is correct.

4) 64 – 9t2 = (8 + 3t)(8 – 3t)

(8 + 3t)(8 – 3t) = 64 - 9t2

This one is correct.

So the incorrect option is the second one.

4 0
3 years ago
Write an algebraic expression that represents<br> the following phrase:<br> The product of 8 and 12
Ainat [17]

Answer:

8*12

Step-by-step explanation:

First, the problem asks for an expression; this means that there should be no equal sign. Also, the keyword "product" means that both the terms must be multiplied. So, 8*12 is the final expression; this equals 96.

6 0
2 years ago
The circumference is 12 mile. What is the diameter?
photoshop1234 [79]

To find the diameter of a circle, using only the circumference, you need to divide the circumference by π, or 3.14.

So in this case, you must divide 12 by 3.14, which gives you 3.82.

I even double checked this, and should be correct then.

8 0
2 years ago
Read 2 more answers
Find the values for a, b, and c that complete the simplification.
lisov135 [29]

Answer: A: 6

B: 4

C: 2

Step-by-step explanation:

8 0
3 years ago
What is the correct factorization of x^6-y^6
Soloha48 [4]
(x^3 - y^3)(x^3 + y^3)

You can get this by factoring based on the a^2 - b^2 model 
3 0
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