Since 2 and 11 are prime we have
(2x 1)(1x 11) or
(2x 11)(1x 1)
we just need to figure out the signs
remember
(ax+b)(cx+d)=acx^2+bcx+adx+bd
the middle term coeficient is bc+ad
so
2x times 11=22x
1x times 1=x
there is not way to add or subtract 22x and x to get -9x
1st one is wrong
(2x 11)(x 1)
2x times 1=2x
11 times x=11x
11x-2x=9x
the 2x or the 1 has to have the negative
(2x+11)(x-1)
Okay so for this one, we have to isolate our X.Lets start by moving the negative 5 on the other side of the equal sign. Remember to not mix a number that is with an X with a normal number (in this case it would be the -3x and the -5). So in putting our -5 on the other sign it becomes positive. Here’s what we have: x^2-3x=5. x^2 is the same thing as 2x.So now you have to minus 3x off of your 2x. This gives us -1x, but can just be put as -x. So now we have -x=5. You’re answer could either be 5 or -5 if you decided to divide it by -1 seeing as your -x is technically -1.
There is a 1/2 chance of landing heads.
There is a 3/6 or 1/2 chance of landing on an even number (2,4, or 6)
1/2*1/2= 1/4
The probability of landing heads and an even number is 1/4.
Step-by-step explanation:
f(x) goes through the point (0, 1).
g(x) goes through (2, 1) for the same y value.
that means g(x) is f(x) translated 2 units to the right.
but we could also look at the same x value (0).
then g(x) goes through (0, -5).
and that means g(x) is f(x) translated 6 units down.
since it is a line function, shifting it left/right or up/down makes no difference to the shape or position of the new curve itself.
as it looks like you don't have 6 in the drop-down menu, then 2 units (to the right) is the desired correct result.
that means g(x) = f(x-2) = 3(x-2) + 1 = 3x - 6 + 1 = 3x - 5
and that is what the graph is showing us.
The remainder for 67 divided by 3 would be 1 because (this might be a bad explanation since i'm not good at explaining math without showing u my work) if u do divide 6 by 3, 3x2 is 6 and 6-6 is 0. Then if u divide 7 by 3, then 6 is the closest u can get to 7 without multiplying by a decimal. Then if u do 7-6, u get 1 and u cant divide 1 by 3 so the remainder would be 1.
