Answer: 5000000000
Step-by-step explanation: i just know
Answer:
there is no solution
Step-by-step explanation:
Expand.
15x+35+2x=7x+10x-4515x+35+2x=7x+10x−45
2 Simplify 15x+35+2x15x+35+2x to 17x+3517x+35.
17x+35=7x+10x-4517x+35=7x+10x−45
3 Simplify 7x+10x-457x+10x−45 to 17x-4517x−45.
17x+35=17x-4517x+35=17x−45
4 Cancel 17x17x on both sides.
35=-4535=−45
5 Since 35=-4535=−45 is false, there is no solution.
No Solution
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.
Answer:
(1,B) (1,R) (2,B) (2,R) (3,B) (3,R)
Volume = Area x Height. We are given Volume and Area, so plug in and solve for Height (Height = Volume/Area)
18in^3 = 4.5 in^2 x Height (divide both sides by 4.5) -> 4in = Height