All categories

3 years ago

Near the beginning of Lesson 5.3, a strategy for factoring trinomials of the form x^2+ bx+c was

Mathematics

1 answer:

Musya8 [376]3 years ago

5 0

Answer:

Step-by-step explanation:

there are function that "invert" each other..

subtraction inverts addition...

3+2 = 5 ... 5-2 = 3

division inverts multiplication

5*2 = 10 ... 10/2 = 5

Using that concept, "factoring" is basically the inverse of multiplication

3x^2 + 9x can be factored to 3x(x+3)

if you multiply that out it reverts back to the original equation

so x^2 + 5x + 6 factors to (x+3)(x+2)

if you multiply that out (foil it)

you get x^2 + 5x + 6

You might be interested in

Apply the commutative property to 13 × 7 × 21 to rearrange the terms and still get the same solution.

Andru [333]

Hey there!!
The answer is (13)(21)(7).

Hope this is what ur looking for.

~ TRUE BOSS

7 0

3 years ago

The number of stamps that Kaye and Alberto had were in the ration of 5:3 respecctively. After Kaye gave Alberto 10 of her stamps

masha68 [24]

Answer: The correct option is

(D) 60.

Step-by-step explanation: Given that the number of stamps that Kaye and Alberto had were in the ration of 5:3 respectively.

After Kaye gave Alberto 10 of her stamps, the ration of the number of Kaye had to the number of Alberto had was 7:5.

We are to find the number of stamps that Kaye had more than Alberto.

Let the number of stamps Kaye and Alberto has are 5x and 3x respectively.

Then, according to the given information, we have

$(5x-10):(3x+10)=7:5\\\\\Rightarrow \dfrac{5x-10}{3x+10}=\dfrac{7}{5}\\\\\Rightarrow 25x-50=21x+70\\\\\Rightarrow4x=120\\\\\Rightarrow x=\dfrac{120}{4}\\\\\Rightarrow x=30.$

So, the number of stamps that Kaye had = 5 × 30 = 150

and

the number of stamps that Alberto had = 3 × 30 = 90.

Therefore, the number of stamps that Kaye had more than Alberto is

$150-90=60.$

Thus, Kaye had 60 stamps more than Alberto.

Option (D) is CORRECT.

7 0

3 years ago

All you need to do is write the inequalities that represent each situation then explain!

nlexa [21]

Answer:

1. 32$

2. 8 people

Step-by-step explanation:

1.65-25=40-8=32

2.100-50=50-6×8=is 2 and u can't-6 anymore

3 0

3 years ago

F(-3,-2), I(-4, 3), A(-2,3), M(1, -1)<br> to<br> I’(-4,-3), A’ (-2, -3), M’(1,1), F(-3,2)

icang [17]

I am not sure what exactly the question is, but all points are a reflection across the x-axis. I hope that helps.

8 0

3 years ago

Jonathan purchases 15 pounds of bananas for $.49 a pound. How much did Jonathan pay

ExtremeBDS [4]

Answer:

$7.35

Step-by-step explanation:

To find the answer to this question, you would need to multiply 15 times .49 which would equal 7.35

5 0

3 years ago