Answer:
x=25
Step-by-step explanation:
60+70=130
180-130=50
50/2=25
Answer:
2 Committees
Step-by-step explanation:
2 Committees and 3/4 of a committee
There are only 11 teachers so that means only 2 committees can be filled with 4 teachers if that is the max amount per committee.
There are more than enough students so no need to worry on them.
11 divided by 4 = 2.75
You multiply like terms first, which means -2/3x*-x. It becomes 2/3x*3y. The coefficient of x is 2/3. The coefficient of y is 3. You can’t combine them because they are not like terms with the variables.
Answer:
0.504m
Step-by-step explanation:
First, we would multiply 0.4cm by 126 watermelon seeds to find the length of the line in cm.
0.4*126
= 50.4cm
Therefore, the line of watermelon seeds stretches 50.4cm.
Now, because the question wants us to type the answer in meters, we must convert 50.4cm into meters. We do this by dividing 50.4 by 100 since 100cm makes up 1 meter.
50.4/100
= 0.504m
Therefore, the line of watermelon seeds stretches 0.504m.
I hope this helps!
Answer:
-3, 1, 4 are the x-intercepts
Step-by-step explanation:
The remainder theorem tells you that dividing a polynomial f(x) by (x-a) will result in a remainder that is the value of f(a). That remainder will be zero when (x-a) is a factor of f(x).
In terms of finding x-intercepts, this means we can reduce the degree of the polynomial by factoring out the factor (x-a) we found when we find a value of "a" that makes f(a) = 0.
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For the given polynomial, we notice that the sum of the coefficients is zero:
1 -2 -11 +12 = 0
This means that x=1 is a zero of the polynomial, and we have found the first x-intercept point we can plot on the given number line.
Using synthetic division to find the quotient (and remainder) from division by (x-1), we see that ...
f(x) = (x -1)(x² -x -12)
We know a couple of factors of 12 that differ by 1 are 3 and 4, so we suspect the quadratic factor above can be factored to give ...
f(x) = (x -1)(x -4)(x +3)
Synthetic division confirms that the remainder from division by (x -4) is zero, so x=4 is another x-intercept. The result of the synthetic division confirms that x=-3 is the remaining x-intercept.
The x-intercepts of f(x) are -3, 1, 4. These are the points you want to plot on your number line.