when you complete the square you have to focus on the coefficient for x (not x2, just the regular x)
in your case its its 6 --> what you want to do is cut it in half (3) and then square it, thats where the
9 comes from.
ideally, you would have x2 + 6x + 9, but it has to be...
ok your denominators have to be exactly the same, then you just add or subtract straight across the top part, the numerator
what i would do first is factor out your denominators
then multiply so that your denominators have the same binomials
1 3/x-5 + 7/5-x
Last week it sold three times as many Shuffles as Nanos.
the amounts sold are going to be your x's, since you have no clue or anything about nanos, make that X
You sold three times as many shuffles so make that your 3x
the total sales come from multiplying the...
distance = rate x time
now when the car "catches up" the distances that they drove will be equal
so that means the rate x time for each car has to come out to be the same (bc rate x time is distance as shown above)
so car 1 has a rate of 80km/k
so do 80T where...
One of my biggest pet peeves that I have with my students is their notes. If I'm working on schoolwork or regents prep with a student, they usually have a makeshift binder that looks like it was force fed miscellaneous papers. My SAT and ACT student
follow along well when we do examples and can even follow the steps to arrive at a correct answer at practice, but I highly question their initiative...
If a line has no y intercept that means it would go straight up and down. An example would be like x=5 or x=-12 or any other x=some #.
if a line has no x intercept that means it just goes straight left and right and never crosses the x axis. that would be like y = 14, y=100 or y=-8.
First thing you have to do is get the slope
(y2-y1)/(x2-x1) = slope
lets make (6,-9) point 1, and (-2,3) point 2 you dont really need to do this part but it helps
so x1 = 6 y1 = -9 x2 = -2 y2 =3
(3 - -9)/(-2 - 6) = 12/-8 or -3/2
ok here is what you need to know
-probability is best found as a fraction what you want/total outcomes
-if you have two events that occur together, multiply the probability of each
- deck of cards -- 52 cards total
-- 13 hears, 13 diamonds, 13 spades...
1st # is x
2nd # is x+1
3rd # is x+2
most people write out the equation horizontally, but try to line everything up vertically, its easier to see whats going on and you will be less likely to make a careless mistake
3x + 3
to go from hours to minutes, multiply the hours by 60
so 2 hours is 120 minutes 2x60=120
half hour is 30 minutes .5 x 60 = 30
so you have .8 hours
.8 x 60 =48
.8 hours is 48 minutes
if you want the total # of minutes for your...
if they give you the zeroes (also called roots) you can get the function ax^2+bx+c
by using the product of the roots and the sum of the roots
the sum of the roots will come out to be -b/a
the product of the roots is c/a
so the sum of your roots in your...
mid point formula GO!
(x2+x1)/2 gives the x coordinate
(y1+y2)/2 gives the y coordinate
(6,7) and (4,3)
lets make (6,7) point 1
x1 is 6
y1 is 7
lets make (4,3) point 2
x2 is 4
y2 is 3
when I was younger labeling...
Lets do this w/ no exponents first to get an idea of whats going on....
ex) I ride my bike at 5mph. How long would it take to go around my block 8 times if my block is 30 miles around.
Now dont worry about why my block is so big....it's just an example.
First i would want...
1) solve for y so you can graph the line
2) graph the line --- if its less than or greater than make it a dotted line,
if ist less than or equal to or greater than or equal to then make it a solid line
3) pick a test point, something...
ill give you the steps first then we can go through it --- its quick dont worry
1) get all the x's on one side of the equation
2) identify the coefficient for x (not x2, the regular x)
3) cut the coefficient from step 2 in half
4) square the # from step 3
5) add it to both sides
when you have a more complicated factoring question like this, look for a greatest common factor (gcf) to factor out first
x (x2 +7x - 8) < then factor the trinomial --- you need two terms that add to +7 and multiply to -8
and thats it
when you find the domain, think of x values that cant be plugged in
in this instance, the denominator (bottom) cant be = 0
so x^2-7x-8 =0 this will tell you the #'s you cant use.
(x-8)(x+1) = 0
x=8 and -1
so you domain would be all real numbers such that...
as far as the math goes - algebra - solve for x, factoring, evaluating functions, and being able to interpret a function on a graph. geometry (no proofs) area perimeter are fair game, area of shaded regions (multiple shapes on top of each other) theres
4 trig questions (sohcahtoa, basic basic...
is it x - 7 = 1 - 5
x - 7 = 1 ?
I dont want to confuse you w/ the wrong explanation.
Are you solving for M?
b =2m-3 < -- add 3 to both sides
b + 3 = 2m <-- divide 2
b+3 = 2m everything on the left becomes one big fraction
the 2's cancel out and you get