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hammer [34]
3 years ago
8

Which of the binomials below is a factor or this trinomial x-2 +5x+6

Mathematics
1 answer:
lutik1710 [3]3 years ago
5 0
Firstly, for it to be a trinomial the expression would have to be x^2+5x+6 to factor this we would simply have to find 2 numbers that add up to 5 and multiply to 6. 3+2=5 and 3•2=6 so (x+3)(x+2) would be the answer
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Anyone can help me solve this equation using cross multiplying
Natali5045456 [20]

9514 1404 393

Answer:

  x = 1 or 5

Step-by-step explanation:

The notion of "cross-multiplying" is the idea that the numerator on the left is multiplied by the denominator on the right, and the numerator on the right is multiplied by the denominator on the left. This looks like ...

  \displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\ \longrightarrow\ (x-1)(3x-1)=(7)(2x-2)

Then the solution proceeds by eliminating parentheses, and solving the resulting quadratic equation.

  3x^2-4x+1=14x-14\\\\3x^2-18x+15=0\qquad\text{subtract $14x-14$}\\\\x^2-6x+5=0 \qquad\text{divide by 3}\\\\(x-1)(x-5)=0\qquad\text{factor}\\\\x\in\{1,5\}

_____

<em>Comment on "cross multiply"</em>

Like a lot of instructions in Algebra courses, the idea of "cross multiply" describes <em>what the result looks like</em>. It doesn't adequately describe how you get there. The <em>one and only rule</em> in solving Algebra problems is "<em>whatever is done to one side of the equation must also be done to the other side of the equation</em>." If you multiply one side by one thing and the other side by a different thing, you are violating this rule.

What looks like "cross multiply" is really "<em>multiply by the product of the denominators</em> and cancel like terms from numerator and denominator." Here's what that looks like with the intermediate steps added.

  \displaystyle \frac{x-1}{7}=\frac{2x-2}{3x-1}\\\\\frac{x-1}{7}\times7(3x-1)=\frac{2x-2}{3x-1}\times7(3x-1)\\\\(x-1)(3x-1)=(2x-2)(7)\qquad\textit{looks like}\text{ cross multiply}

8 0
2 years ago
Help me plzz plzzz plese2​
Dominik [7]

Answer:

122m^2

Step-by-step explanation:

Awnser is in picture along with steps

7 0
3 years ago
PLEASE HELP!!!!!!<br> (also if you do not know don't reply, so the people that do know see this)
FromTheMoon [43]

Answer:

1. A and L

2. C and M

3.D and K

4. B and F and G

5.E and H

6. B and F and G

Step-by-step explanation:

rhombus plus rectangle = square

5 0
2 years ago
1. All of the letters in the alphabet are randomly
Alex
The probability of selecting a vowel from the English alphabet is 5/26 (≈19.2%) if you include only A, E, I, O, and U as vowels
3 0
3 years ago
we have 3 boxes and they are equal to 2 circles, if each circle is equal to 1, what is the value of 1 box?
mario62 [17]

Answer:⬛️=.667 (.66 repeating)

Step-by-step explanation) you can set up the equation:

3x=2y

(using x for squares and y for circles).

we know the value of the circles is 1, so plug 1 in for y

3x=2(1) , simplify

3x=2

now get x by itself by dividing both sides by 3

x=2/3

x=.66

8 0
3 years ago
Read 2 more answers
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