Setting up the equation
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1)Add two x and four x together on the left side. On the right, add 10 and 7.
6x+3=17-x
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Solve:
2)Add x to both sides.
7x+3=17
3) Minus 3 from both sides
7x=15
Divide 15 by seven.
x=<span> 2.14285714286
</span>Hope this helped! Have a happy holiday!
Answer:
The parenthesis need to be kept intact while applying the DeMorgan's theorem on the original equation to find the compliment because otherwise it will introduce an error in the answer.
Step-by-step explanation:
According to DeMorgan's Theorem:
(W.X + Y.Z)'
(W.X)' . (Y.Z)'
(W'+X') . (Y' + Z')
Note that it is important to keep the parenthesis intact while applying the DeMorgan's theorem.
For the original function:
(W . X + Y . Z)'
= (1 . 1 + 1 . 0)
= (1 + 0) = 1
For the compliment:
(W' + X') . (Y' + Z')
=(1' + 1') . (1' + 0')
=(0 + 0) . (0 + 1)
=0 . 1 = 0
Both functions are not 1 for the same input if we solve while keeping the parenthesis intact because that allows us to solve the operation inside the parenthesis first and then move on to the operator outside it.
Without the parenthesis the compliment equation looks like this:
W' + X' . Y' + Z'
1' + 1' . 1' + 0'
0 + 0 . 0 + 1
Here, the 'AND' operation will be considered first before the 'OR', resulting in 1 as the final answer.
Therefore, it is important to keep the parenthesis intact while applying DeMorgan's Theorem on the original equation or else it would produce an erroneous result.
A) No, because your bag has 8 marbles, and each time you take it out, you put it back in. So there is a chance that you can pick the same marble again, and not pick up a red marble that's already in the bag.
b) No, because you could still keep on picking up the same marble over and over again.
c) There is no absolutely certain number of times.
The complete question in the attached figure
we have that
f(x) = x²<span> + 1
g(x) = x – 4
step 1
find </span>(f o g)(x)
(f o g)(x)= (x - 4)² + 1(f o g)(x) = x² - 8x + 16 + 1
(f o g)(x) = x² - 8x + 17
step 2
find (f o g)(10)
(f o g)(10) = 10² - 8*(10) + 17
(f o g)(10 = 100 - 80 + 17
(f o g)(10)= 37
the answer is 37
Answer:
hi! this may all seem confusing but don't worry it's easy once you get it!
so we have a line this line y=4x-7 is what we will use to plugin our point
and (0,2) is your point!
2=4(0)+b
2=b
and usually you don't have to do that (HINT: if it's 0,a number it's already b like the number that isn't 0 is b aka the y intercept)
y=4x + 2 would be the answer!
REMEMBER: Parallel is always the same so you will use the SAME SLOPE!
Well what is the slope? Slope is always mx! you can find it using the slope formula if it is not given, like this equation it was given
If this said PERPENDICULAR then it would be negative reciprocal of your slope and same equation!
hope this helps :)
new question: write an equation of the line that contains the point (1,5) and have the same y-intercept as the line 2x+3y=6
so we need to move this from standard form to slope intercept
2x + 3y=6
-3y= -2x + 6
y= 2/3x - 2
now we've solved! our y intercept is now -2 and slope is 2/3x
okay and now let's plug it in!
again let's plugin our point
5= 2/3 (1) + b
4 1/3= b
so! y= 2/3x - 4 1/3
