now, let's recall the rational root test, check your textbook on it.
so p = 18 and q = 1
so all possible roots will come from the factors of ±p/q
now, to make it a bit short, the factors are loosely, ±3, ±2, ±9, ±1, ±6.
recall that, a root will give us a remainder of 0.
let us use +3.
![\bf x^4-7x^3+13x^2+3x-18 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{r|rrrrr} 3&1&-7&13&3&18\\ &&3&-12&3&18\\ \cline{1-6} &1&-4&1&6&0 \end{array}\qquad \implies (x-3)(x^3-4x^2+x+6)](https://tex.z-dn.net/?f=%5Cbf%20x%5E4-7x%5E3%2B13x%5E2%2B3x-18%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cbegin%7Barray%7D%7Br%7Crrrrr%7D%203%261%26-7%2613%263%2618%5C%5C%20%26%263%26-12%263%2618%5C%5C%20%5Ccline%7B1-6%7D%20%261%26-4%261%266%260%20%5Cend%7Barray%7D%5Cqquad%20%5Cimplies%20%28x-3%29%28x%5E3-4x%5E2%2Bx%2B6%29)
well, that one worked... now, using the rational root test, our p = 6, q = 1.
so the factors from ±p/q are ±3, ±2, ±1
let's use 3 again
and of course, we can factor x²-x-2 to (x-2)(x+1).
(x-3)(x-3)(x-2)(x+1).
Answer:
Please check explanations
Step-by-step explanation:
Here, we want to interpret the meaning of the slope
The slope generally refers to the change in y values with corresponding change in x value
with respect to this question, we can see that the slope is negative
What this mean is that the rate of change in the level of oxygen measured in liters is decreasing with an increase in the time
This means that as more time elapses, more oxygen is used up leading to a decrease in the liters of oxygen present
Answer:
t=57, u=31, v=92
Step-by-step explanation:
So we know that 180= 5x+2+2x+9+8x+4 which simplifies to 180 = 15x+15. Subtract 15 from both sides to get 165=15x and then divide by 15 to get 11=x. NOw we can plug this into the three angles as x so t = 5*11+2, t=55+2, t=57, then u = 2*11+9, u=22+9, u=31, and lastly v=8*11+4, v= 88+4, and v=92
9514 1404 393
Answer:
Step-by-step explanation:
The price difference is found by subtracting Emma's price from DeShawn's price. Each price is the product of the number of square feet and the price per square foot.
The number of square feet is already given in the answer form, so you only need to fill in the per square foot prices. Those are found in the table. Both the window name and the window area give clues as to which is the right price to choose.
The expression is (4² × 33) - (3² × 27).
__
For the second fill-in, you need to actually do this arithmetic. For many calculators, you can enter this expression directly.
DeShawn paid $285 more for his window than Emma.
Answer:
The answer to your question is x² + 5/2x - 3/2 = 0
Step-by-step explanation:
Data
Quadratic equation x² + 2.5x - 1.5 = 0
Process
1.- Convert the decimals into fractions
2.5 = 25/10 = 5/2
1.5 = 15/10 = 3/2
2.- Substitution
x² + 5/2x - 3/2 = 0
3.- Conclusion
I rewrite the equation, now it is expressed in fractions. It could be solve by factoring.
