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aev [14]
3 years ago
13

#12-10: Factor this expression by dividing by the GCF first. 4h+24

Mathematics
1 answer:
AleksAgata [21]3 years ago
6 0

\huge{\boxed{4(h+6)}}

Let's start by writing out their factors.

4: <em><u>1</u></em><em>, </em><em><u>2</u></em><em>, </em><em><u>4</u></em>

24: <em><u>1</u></em><em>, </em><em><u>2</u></em><em>, 3, </em><em><u>4</u></em><em>, 6, 8, 12, 24</em>

The greatest factor that 4 and 24 have in common is 4.

Factor out 4 from both terms. \boxed{4(h+6)}

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Aaliyah is drawing a ball from one bag and a tile from another bag. The first bag contains 4 green balls and 4 yellow balls. The
Sonja [21]

Step-by-step explanation:

P(green AND 4)

= P(green) × P(4)

= (4/8) × (1/5)

= 1/10

3 0
3 years ago
Read 2 more answers
Write a polynomial function f of least degree that has rational coefficients, a leading coefficient of 2, and the given zeros. -
Musya8 [376]

Answer:

A least degree polynomial, having rational coefficients and a leading coefficient of 2, with,-4, 0, 2, and 4 as the zeros of the polynomial is;

f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x

Step-by-step explanation:

The given parameters of the polynomial are;

The leading coefficient of the polynomial = 2

The zeros of the polynomial = -4, 0, 2, 4

We note that zeros of -4, and 4 gives a factor of the form, (x² - 4²)

For a zero of the polynomial equal to 0, one of the factors of the polynomial is equal to 'x'

To have a leading coefficient of 2, we can add '2' as a factor of the polynomial

Therefore, we can have the factors of the polynomial as follows;

(x² - 4²)·2·x×(x - 2) = 0

From the above equation, using a graphing calculator, we get the following possible polynomial;

(x² - 4²)·2·x×(x - 2) = 2·x⁴ - 4·x³ - 32·x² + 64·x = 0

Therefore, a polynomial, function of least degree that has rational coefficients, a leading coefficient of 2,and the zeros, -4, 0, 2, and 4 is  f(x) = 2·x⁴ - 4·x³ - 32·x² + 64·x.

4 0
3 years ago
Identify the sequence as arithmetic, geometric, both, or neither. 50, –50, 50, –50, . . . both arithmetic geometric neither desc
stellarik [79]

Answer:

<em>The sequence is geometric.</em>

Step-by-step explanation:

In Arithmetic sequence, there is a common difference between any two consecutive terms but in Geometric sequence, there is a common ratio between any two consecutive terms.

Given sequence is:   50,  -50,  50,  -50,.................  

Lets assume, the terms as  a_{1}, a_{2}, a_{3}, a_{4},...........

<em><u>Checking for common difference:</u></em>  

a_{2}-a_{1}= (-50)-(50)= -100\\ \\ a_{3}-a_{2}=(50)-(-50)=100\\ \\ a_{4}-a_{3}=(-50)-(50)=-100

As there is no common difference, so it's not an arithmetic sequence.

<u><em>Checking for common ratio</em></u>

\frac{a_{2}}{a_{1}}=\frac{-50}{50}=-1\\ \\ \frac{a_{3}}{a_{2}}=\frac{50}{-50}=-1\\ \\ \frac{a_{4}}{a_{3}}=\frac{-50}{50}=-1

As there is a common ratio, so it's a geometric sequence.

8 0
4 years ago
The sum of two consecutive integers is 157. Find the smallest integer.
omeli [17]

Answer:

Hi there!

Your answer is:

The smallest integer is equal to 78

Step-by-step explanation:

x, x+1

x+x+1 = 157

2x+1 = 157

-1

2x= 156

/2

x= 78

The numbers are:

Smallast integer: 78

Larger integer: 78+1 = 79

8 0
3 years ago
Please help, Solve K-PRT for R.
BigorU [14]

Answer:

r = \frac{k}{pt}

Step-by-step explanation:

I think that you mean

K = PRT  Divide both sides by pr

\frac{k}{pr} = \frac{prt}{pr}  On the right sides the pr's on the top and bottom cancel each other out and you are left with

r = \frac{k}{pr}

6 0
2 years ago
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