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3 years ago

Which of the following represents the factorization of the polynomial below ?

Mathematics

1 answer:

Ugo [173]3 years ago

6 0

2x² + 13x + 15

First you multiply the first and last number, 2 · 15 = 30

Now you need to find the factors of 30 that add or subtract to +13(I added the plus sign to indicate that the factors that add/subtract to 13 must come out as positive 13)

Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30 [1 · 30, 2 · 15, 3 · 10, 5 · 6]

You can do either 15 and 2 because 15 - 2 = 13, or 3 and 10 because 3 + 10 = 13.

I will be doing 10 and 3

2x² + 13x + 15 Instead of 13x, you can replace it with 3x and 10x because when you add it together it is 13x

2x² + 3x + 10x + 15 Now you can factor them out separately

x(2x + 3) + 5(2x + 3) You can factor out (2x + 3) from x and 5 to get:

(2x + 3)(x + 5)

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What did you guys get for all of these? I’ll give you 30 points If you’re able to answer all.

alex41 [277]

Answer:

can u zoom in and take picture

Step-by-step explanation:

8 0

3 years ago

Find f(-3) for f(x) = 4(2)^x. ОА. 1/8 O B. -32 O C. -24 OD. 1/2

Ipatiy [6.2K]

Answer:

Step-by-step explanation:

using the rule of exponents

$a^{-m}$ = $\frac{1}{a^{m} }$

substitute x = - 3 into f(x)

f(- 3) = 4( $(2)^{-3}$ = 4 × $\frac{1}{2^{3} }$ = 4 × $\frac{1}{8}$ = $\frac{1}{2}$

5 0

2 years ago

What is 245,893 in scientific notation

s2008m [1.1K]

The goal of writing a number in scientific notation is to have a decimal number, with one digit to theleft of the decmial point, followed by a × 10to some power.

To format your number in this way, we'll divide the 245,893 by 10, 2time(s), making it a 2.45.
We do this, because each division by 10 moves the decimal point to the left one digit.
But in order to keep our number the same number, we must have a × 102next to the 2.45.

So, the final answer is 2.45 × 102 (: Hope im right!

3 0

3 years ago

I need help with both pictures plz

jeyben [28]

Answer:

-25+12 is less

Step-by-step explanation

1st picture

-25+12=-13

40+-63=-23

2nd picture

Negative

Positive

Negative Negative

To find the answers just simply do the number in a calculator for example -6+64 put that in a calculator and it will help you. figure our number 5

5 0

3 years ago

4 cot theta = tan theta how do I I find the value of quadrant?

Ray Of Light [21]

Answer:

4cotα=tanα

4(1/tanα)=tanα

(4/tanα)=tanα

cross multiply

=> 4=tan²α

√4=√tan²α

±2=tanα

α=arc( tan) |2|

α=63.4° ( in first quadrant)

and

α=180+63.4=243.4 in the third quadrant

since we also found a negative answer( i.e –2) then α also lies in quadrants where it gives a negative value(i.e second and fourth quadrants)

α=180–63.4=116.6° in the second quadrant

α=360–63.4=296.6 in the fourth quadrant

therefore theta( in my case, alpha) lies in all four quadrants and is equal to:

α=63.4°,243.4°,116.6°and 296.6°

5 0

3 years ago