Answer- 5g+ 69.50= 85 ; 3.1 (3)
An inequality is an equation with letters and number that sum to ONE whole.
In this case we have a flat cost, which is standalone and 5 dollars per gigabyte which is not standalone. Let G stand for each gigabyte.
This means our equation is 5g(five dollars times each gigabyte used) +69.50 that is gives. He has to keep his entire month under 85 dollars, which means our equation must equal 85. Now our equation will look like this.
Inequality- 5g+ 69.50= 85.
In order to solve how many gigabytes will be used we solve our equation backwards. We subtract 69.50 from 85,because we know that must has already been spent. This gives us 15.50. This means we will have to divided 15.50 into five dollars to see how many gigabytes are spent. 15.50 divided into five is 3.1 gigabytes.
This means Alexander will have to use 3.1 (or 3 if you have to round) gigabytes in order to spend 85 dollars or less per month.
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).
Hey There,
The equation would be y = 4x - 45
Point slope formula
(y-y1)=m(x-x1)
Plug in the numbers
(y-3)=4(x-12)
Solve for y.
4 * x = 4x
4 * -12 = -48
Bring 3 to the other side (change the sign)
-48 +3 = 45
Therefore, the equation would be y = 4x - 45
Answer:
The segment opposite to angle D is CF.
Step-by-step explanation:
To find what angle is opposite to a side. All you just have to do is see which segment doesn't touch that angle. We see that angle D does not touch CF, so angle D must be opposite to CF.