First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
6x4=24
Multiplication is just repeating addition! For example, you can use repetitive (repeating) addition to solve 6x4.
6+6+6+6=24
I added 6 4 times to get to 24. I added it four times because you are multiplying 6 by 4! I am adding 6 (the first number) 4 times (the second number)!
Other examples:
1 x 7=7 because 1+1+1+1+1+1+1=7
2x2=4 because 2+2=4
I hope this helped! :)
Answer:
6 square units
Step-by-step explanation:
In oder to do this, you need graph paper to make it easier and then mark your graph paper with the quadrants.
I got 3 unites for the height and 4 units for the base
4 x 3 = 12 square units
however the formula for a triangle is Ab/2
so divide 12/2 = 6
So its 6 square units
Answer:
Step-by-step explanation:
Allow me to rewrite your question and hope it will fit the original one:
<em>Jackson recorded the growth of a plant over 10 weeks. The equation </em><em>y=0.25x+4</em><em> represents the height y in inches over time x in weeks what does the y intercept represent In terms of the situation</em>
My answer:
As we know that y intercept is the value of y at the point where the line crosses the y axis (the value of x =0)
So in this situation, if x= 0, it means the height of the tree (y-intercept) initially be at 4 at week 0.
Hope it will find you well.
Answer:
Multiplication Symbols:
<u>1.</u><u> Times</u> ×
<u>2.</u><u> Dot</u> ⋅
<u>3.</u><u> Parentheses</u> ()
<u>4.</u><u> Variables next to each other</u> <em>ab</em>
Step-by-step explanation:
The symbols can be used like this...
Times: <em>a</em> × <em>b</em> = <em>c</em>
Dot: <em>a</em> ⋅ <em>b</em> = <em>c</em>
Parentheses:<em> </em>(<em>a</em>)(<em>b</em>) = <em>c</em>
Variables next to each other: <em>ab </em>= <em>c</em>
