MATHEMATICS HIGH SCHOOL

I had 33 pictures from summer camp. I gave three pictures away to friends and I plan to divide the remaining pictures evenly between five pages of the photo album .which equation could I use to find how many pictures will be on each page

Answers

Answer 1

Answer: 33-3=30
30/5=6
There would be 6 pictures on each page

Answer 2

Answer:

Answer:

33-3 = 30

30 ÷ 5 = 6

Step-by-step explanation:

C. $9x^(3)+11 x^(2) +3x-33$

Step-by-step explanation:

A polynomial is prime if it can't be factored in polynomials of lower degree. Let's factorize:

A. $7x^(2) -35x+2x-10$

In this case we have 4 terms, so we can use Grouping:

Part a:

$7x^(2) -35x$

We're going to use Greatest common factor:

$=7x^(2) -7.5x\n=7x(x-5)$

Part b:

$2x-10$

In this part we also use greatest common factor:

$2x-10=2x-2.5\n=2(x-5)$

Then,

$7x^(2) -35x+2x-10=\n 7x(x-5)+2(x-5)=\n =(7x+2)(x-5)$

This polynomial is not prime.

B. $9x^3 + 11x^2 + 3x-33$

This polynomial cannot be factorized then it's prime.

C. $10x^3-15x^2 + 8x-12$

In this polynomial we can use grouping too:

Part a:

$10x^3 -15x^2=2.5x^3-3.5x^2\n=5x^2(2x-3)$

Part b:

$8x-12=4.2x-4.3\n=4(2x-3)$

Then,

$10x^3-15x^2 + 8x-12=\n=5x^2(2x-3)+4(2x-3)\n=(5x^2+4)(2x-3)$

This polynomial isn't prime.

D. $12x^4 + 42x^2 + 4x^2 + 14$

First we're going to use Greatest common factor:

$12x^4 + 42x^2 + 4x^2 + 14=\n2.6x^4+2.21x^2+2.2x^2+2.7=2(6x^4+21x^2+2x^2+7)$

Now we're going to apply grouping on the terms inside of the parenthesis:

$6x^4+21x^2+2x^2+7$

Part a:

$6x^4+2x^2=2.3x^4+2x^2=2x^2(3x^2+1)$

Part b:

$21x^2+7=7.3x^2+7=7(3x^2+1)$

Then,

$6x^4+21x^2+2x^2+7=2x^2(3x^2+1)+7(3x^2+1)\n=(2x^2+7)(3x^2+1)$

Remember that at the beginning we use Greatest common factor:

$12x^4 + 42x^2 + 4x^2 + 14=\n=2.(6x^4+21x^2+2x^2+7)\n=2(2x^2+7)(3x^2+1)$

This polynomial isn't prime.

Answer:

B not C 9x^3 + 11x^2 + 3x - 33

Step-by-step explanation:

Equation4(5x–9)=−2(x+7)
# x = 1
Explanation
Write the equation.
Add 2x to each side.
30
:: Multiply on each side.
:: 22x = 22
:: 22x-36= -14
Add 36 to each side.
Reason
Given
Distributive Property
Addition Property of Equality
Addition Property of Equality
Division Property of Equality
:: 20x - 36 = -2x - 14
:: Divide each side by 22.