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alina1380 [7]
3 years ago
5

Factoring trinomials????x^2+8x+15

Mathematics
2 answers:
DiKsa [7]3 years ago
6 0
X^2+8x+15

= x^2 + 5x + 3x + 15

= x(x+5) + 3(x+5)

= (x+5)(x+3)
Scilla [17]3 years ago
4 0

You nee 2 numbers whose sum is +8 and whose product is +15.

That is 3 and 5.

so the answer is (x + 3)(x + 5)

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Find the recursive rule, explicit rule, and f(20)
DiKsa [7]

Answer:

Recursive:

f(1)=35, f(n)=f(n-1)+10

Explicit:

f(n)=35+10(n-1)

And the 20th term is 225.

Step-by-step explanation:

We have the sequence:

35, 45, 55, 65.

Notice that each subsequent term is 10 more than the previous term.

Therefore, our common difference is (+)10.

Recursive Rule:

The standard format for the recursive rule is:

f(n)=a, f(n)=f(n-1)+d

Where a is the initial term and d is the common difference.

From our sequence, we know that a the initial term is 35.

And as determined, our common difference d is 10.

Substitute. Hence, our recursive rule is:

f(1)=35, f(n)=f(n-1)+10

Explicit Rule:

The standard format for the explicit rule is:

f(n)=a+d(n-1)

Where a is the initial term and d is the common difference. So, let’s substitute 35 for a and 10 for d. Hence, our explicit formula is:

f(n)=35+10(n-1)

Now, let’s find the 20th term. We will utilize the explicit rule since the recursive rule can get tedious. Substitute 20 for n because we would like to 20th term. Thus:

f(20)=35+10(20-1)

Evaluate:

\begin{aligned} f(20)&=35+10(19) \\ f(20)&=35+190 \\ f(20)&=225 \end{aligned}

Hence, the 20th term is 225.

5 0
2 years ago
Help me with this problem please
Ymorist [56]

Answer:

-15

Step-by-step explanation:

3^2 - 3 x [(5^2 - 9) / 2 ]

9 - 3 x [(25 - 9) / 2]

9 - 3 x (16/2)

9 - 3 x 8

9 - 24

-15

5 0
3 years ago
Read 2 more answers
Please help me thanks please
tatiyna

Answer: 2827 cm squared is the answer

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Salsk061 [2.6K]

Answer:

I need help with my question

Step-by-step explanation:

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3 years ago
One 15 A general-purpose circuit should be installed per how many square feet of floor space
Crazy boy [7]

Answer:

Your answer option is C) 600

7 0
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