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2 years ago

12

Find the greatest common factor of the following monomials pq^2 and pq^5

1 answer:

diamong [38]2 years ago

4 0

find the prime factors of each term in order to find the GCF

answer is pq^2

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A flagpole flying the Ohio state flag is 9/10 the height of a 30 foot-tall

kumpel [21]

The flag pole flying the Ohio state flag would be 27 feet tall. you just take 30, divide it by 10 and then multiply it by 9.

4 0

2 years ago

Can someone please give the answer

guapka [62]

Answer:

I can only answer when it is written with pencil

5 0

3 years ago

Write a solution in Interval Notation - (you don't have to help me on all, 1 or 2 is fine c: )

Gemiola [76]

QUESTION 1

The given inequality is

$|m|-2>0$

We group like terms to get,

$|m|>2$

This implies that,

$-m>2$ or $m>2$ .

We simplify the inequality to get,

$m$ or $m>2$ .

We can write this interval notation to get,

$(-\infty,-2)\cup (2,+\infty)$ .

QUESTION 2

$|x-4|-3\:>\:5$ .

We group like terms to get,

$|x-4|\:>\:5+3$ .

$|x-4|\:>\:8$

We split the absolute value sign to get,

$-(x-4)\:>\:8$ or $x-4\:>\:8$

This implies that,

$x-4\:$ or $x-4\:>\:8$

$x\:$ or $x\:>\:8+4$

$x\:$ or $x\:>\:12$

We can write this interval notation to get,

$(-\infty,-4)\cup (12,+\infty)$ .

QUESTION 3

The given inequality is

$|6+9x|\leq 24$

We split the absolute value sign to obtain,

$-(6+9x)\leq 24$ or $(6+9x)\leq 24$

This simplifies to

$6+9x\ge -24$ and $6+9x\leq 24$

$9x\ge -24-6$ and $9x\leq 24-6$

$9x\ge -30$ and $9x\leq 18$

$x\ge -\frac{10}{3}$ and $x\leq 2$

$-\frac{10}{3}\leq x\leq2$

We write this in interval form to get,

$[-\frac{10}{3},2]$

QUESTION 4

The given inequality is

$|1-5a|>29$

We split the absolute value sign to get,

$-(1-5a)>29$ or $1-5a>29$

This simplifies to,

$1-5a\:$ or $1-5a\:>\:29$

This implies that,

$-5a\:$ or $-5a\:>\:29-1$

$-5a\:$ or $-5a\:>\:28$

$a\:>\:6$ or $a\:$

We write this in interval notation to get,

$(-\infty,-\frac{28}{5})\cup (6,+\infty)$

7 0

2 years ago

What are the values of the coefficients and constant term of 0 = 4 – 7x2 + x in standard form?

katen-ka-za [31]

ANSWER

$a = - 7$

$b = 1$

$c = 4$

EXPLANATION

The given quadratic equation is:

$0 = 4 - 7 {x}^{2} + x$

We rewrite in the standard quadratic equation form to obtain,

$- 7 {x}^{2} + x + 4 = 0$

Comparing this to the general standard quadratic equation.

$a {x}^{2} + bx + c = 0$

We have my

$a = - 7$

$b = 1$

$c = 4$

8 0

3 years ago

Read 2 more answers

Bella wants to save for a vacation in three years and this vacation costs $2300. She deposits $2000 into a bank earning 5% inter

ddd [48]

Answer:

$2,323.2

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value = ?

P = present value = 2,000

r = interest rate = 5% = 0.05

n = number of periods = 12

t = time = 3 years

A = P(1 + r/n)^nt

= 2,000(1 + 0.05/12)^12*3

= 2,000( 1 + 0.00417)^36

= 2,000( 1.00417)^36

= 2,000(1.1616)

= 2,323.2

A = $2,323.2

5 0

2 years ago