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fiasKO [112]
3 years ago
6

What is the factored for of the polynomial x2 - 16x + 48

Mathematics
2 answers:
mel-nik [20]3 years ago
5 0
What two factors of 48 add up to -16? -4 and -12

So the factored form would be (x-4)(x-12)
galina1969 [7]3 years ago
3 0

Answer:

(x-12)(x-4)

Step-by-step explanation:

x^2 - 16x + 48

In the given expression , the product is 48 and sum is -16

-4 times -12 gives us 48

-4 plus -12 gives us -16. So two factors are -4 and -12

Beak the middle term using factors

x^2 -4x-12x+48

Group first two terms and last two terms

(x^2 -4x)+(-12x+48)

FActor out GCF from each group

x(x -4)-12(x-4)

FActor out x-4 that is in common

(x-12)(x-4)

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17. Let f(x) = 2x2 + 5x + 6 and g(x) = 3x2 + 4x – 10.<br> a Find f(x) + g(x)<br> b. Find f(x) – g(x)
nalin [4]

Step-by-step explanation:

f(x)+g(x)=(2x^2 + 5x +6) + (3x^2 +4x - 10)

Combine like terms

5x^2 + 9x -4

f(x)-g(x)=(2x^2 + 5x +6) - (3x^2 +4x - 10)

Distribute the negative

(2x^2 + 5x +6) + (-3x^2 -4x + 10)

Combine like terms

-x^2 +x +16

7 0
3 years ago
Read 2 more answers
Write down the nth term of the sequence 5, 8, 13, 20, 29
amid [387]
Hello! To find any number in the arithmetic sequence we can use a formula!

It is given by  a_n =a_1+(n-1)d


The geometric sequence formula goes by S_n =  \frac{a_1(1-r^n)}{1-r}

So for this we notice that there's a start of 5 and is being added 3 to get 8.

and then each time it is added by 2 more to get the next time

5
5+ 3 = 8
8 + 5 = 13
13 + 7 = 20
20 + 9 = 29
29 + 11 = 41
41 + 13 = 54
54 + 15 = 69 
69 + 17 = 83

Your formula is a_n = (n-1)^2 + 4&#10;&#10;
Where n starts at 2 not 1

8 0
3 years ago
Amelia makes necklaces using beads and wire. She starts with 6 feet of wire. How many necklaces can she make?
navik [9.2K]

If  Amelia  starts with 6 feet of wire, the amount of necklaces that she can make is 18.

<h3>What is the necklaces  about?</h3>

Jewelry wire is known to be a kind of a wire that can be either a copper, brass, or others that are often used in jewelry making.

Note that  Wire is seen today as a single unit, and it is also seen to be cylindrical, elongated part of drawn metal.

Using the table:

6  ÷ 1/3

= 6 x 3

= 18

Therefore, If  Amelia  starts with 6 feet of wire, the amount of necklaces that she can make is 18.

Therefore, option A is correct.


Learn more about Wiring from

brainly.com/question/14792853

#SPJ1

8 0
1 year ago
Please help me with this homework question
castortr0y [4]

Answer:

∠ADB≅∠ABC by the Alternate Interior Angles Theorem

∠CAD≅∠ACB by the Alternate Interior Angles Theorem

∠BAD and ∠ADV are supplementary by the Consecutive Interior Angle Theorem

∠ABC and ∠BCD are supplementary by the Consecutive Interior Angle Theorem

5 0
3 years ago
9(k-2)=-6 what is K the oz
Fynjy0 [20]

Answer:k=0.67

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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