Answer:
GCF: 20
Step-by-step explanation:
The thing you want to do is factor both numbers down to their lowest primes.
40:2 * 2 * 2 * 5
60:2 * 2 * 5 * 3
Now underline what is in both sets of primes. I'll bold them. The number that is bolded comes from 2 * 2 * 5 which is 20
The highest common factor is 20
Answer:
-2, -1, -1, 1/3
Step-by-step explanation:
A graphing calculator can find the real roots of a polynomial pretty easily. The attached graph of this function shows its zeros to be ...
-2, -1, -1, 1/3
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The rational root theorem tells you that rational roots will be from the set ...
{±1/3, ±2/3, ±1, ±2}
Descarte's rule of signs tells you there will be 1 positive real root. The sum of coefficients is 24 (a relatively large positive number), so it is certain the positive root will be less than 1.
The sum of coefficients of odd-degree terms (11+1) is equal to the sum of coefficients of even-degree terms (3+11-2), telling you that -1 is a root. Synthetic division gives the cubic factor as 3x³ +8x² +3x -2, which has the same characteristics as the original quartic. That is, there is one positive real root, and -1 is a root of the cubic (hence a double root of f(x)).
Another round of synthetic division reveals the quadratic factor to be 3x² +5x -2, which can be factored as (x +2)(3x -1) to reveal the remaining roots.
Answer:
Step-by-step explanation:
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What this is saying is it is taking the cubed root (which is like a square root, except it is using a 3 instead of 2) of x to the power of 10 divided by 64.
The equation is also saying:
We can simplify the bottom half of the fraction to be 4. The cube root of something is essentially saying its the number times itself 3 times (in this case, divided by that original number). The number to get to 64 was 4 and it was done like this: 4 times 4 times 4 (which equals 64).
As for the top equation, it will simplify down to .
Since can be broken up to be x and , we cube root the to become , while the x remains the same.
We come to result of , which is the answer.
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#teamtrees #WAP (Water And Plant)
Answer:
Hey There the Answer to this is x = nickels
y= dimes
x + y = 34
.05x + .10y= $1.90
-.10x - .10y = -3.40
-.05x + .10y = 1.90
-.05x = -1.50
x = 30 nickels
30 + y = 34
y = 4 dimes
(3,4) And that you get the answer.
Hope it helps!