MATHEMATICS HIGH SCHOOL

Which terms and 45p4q have a GCF of 9p3? Check all that apply. 18p3r
27p4q
36p3q6
63p3
72p3q6

Answers

Answer 1

Answer:

Answer:

$18p^3r$

and $63p^3$

Step-by-step explanation:

We have to check which term and $45p^4q$ has GCF $9p^3$

GCF of $18p^3r$ and $45p^4q$ = $9p^3$

GCF of $27p^4q$ and $45p^4q$ = $9p^4q$

GCF of $36p^3q^6$ and $45p^4q$ = $9p^3q$

GCF of $63p^3$ and $45p^4q$ = $9p^3$

GCF of $72p^3q^6$ and $45p^4q$ = $9p^3q$

Hence, the correct answer is:

$18p^3r$

and $63p^3$

Answer 2

Answer: 18p^3r and 63p^3 are the answer

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Find the solution to the following equation by transforming it into a perfect square trinomial.x2 – 12x = 13

   {46, 55}
       {–1, 13}
       {–15, 27}
       {–21, 33}

Answers

$x^(2) -12x=13\ \ \ \Leftrightarrow\ \ \ x^2-2\cdot x\cdot 6+6^2-6^2=13\n\n \Leftrightarrow\ \ \ (x-6)^2=13+36\ \ \ \Leftrightarrow\ \ \ (x-6)^2=49\ \ \ \Leftrightarrow\ \ \ (x-6)^2=7^2\n\nx-6=7\ \ \ \ \ \ \ or\ \ \ \ \ \ \ \ x-6=-7\n\nx=13\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-1\n\nAns.\ x\in \{-1,\ 13\}$

x² -12x = 13 way to obtain 36 > (-12/2)² = 36
x² -12x + 36 =13 +36 since we add 36 to the left,we must also add 36 to the right
(x-6)² = 49
x-6 = 7
x = 7 + 6 = 13 or -7 + 6 = -1
x = -1 or 13

Find the sum or difference. (3a – 3a^2) + (5 + 8a)A: a^2 + 11a + 5

B: –3a^2 + 11a + 5

C: 3a^2 + 11a + 5

D: –3a^2 + 11a – 5

Answers

Answer: B = –3a^2 + 11a + 5

For difference, the answer is

-3a^2 -5a -5

Step-by-step explanation:

(3a – 3a^2) + (5 + 8a)

To find the sum or difference, we will open the brackets.

To look for l the sum, we add

3a – 3a^2 + 5 + 8a

Collecting like terms,

= -3a^2 +8a + 3a +5

= -3a^2 + 11a + 5

Option B is the right answer.

To look for the difference, we subtract.

(3a – 3a^2) - (5 + 8a)

Opening the brackets

3a – 3a^2 - 5 - 8a

Collecting like terms

-3a^2 + 3a -8a -5

= -3a^2 -5a -5

The options available corresponds only to what we got for the sum, so

-3a^2 + 11a + 5 is the answer

Answer: B. -3a^2 + 11a + 5

1.) Remove parentheses.

3a−3a^2 +5+8a

2.) Collect Like Terms.

(3a+8a) - 3a^2+5

3.) Simplify.

11a - 3a^2+5

-3a^2 + 11a + 5

Expand (3x-4y)^3 please answer thank you

Answers

27x^3-108x^2y+144xy^2-64y^3

Answer:

Step-by-step explanation:

The local newspaper has letters to the editor from 60,000 people. If this number represents 25% of all of the newspaper's readers, how many readers does the newspaper have?

Answers

Answer:

15,000 Letters

Step-by-step explanation:

In the literal equation below, what do C and F represent?F =9/5 C + 32

1. variables
2. constants
3. units
4. numbers

Answers

This question is based on the concept of Fahrenheit and Celsius. Hence, the correct option is (1), in the literal equation, $F = \frac{9}5} C +32$ , C and F represent variables.