You can factor out a 3t first, resulting in:
![3t(2t^2+3t-5)](https://tex.z-dn.net/?f=3t%282t%5E2%2B3t-5%29)
Now, let's factor the equation in the middle using the quadratic equation. Plug in the values to the quadratic equation:
![\frac{-3\pm \sqrt{3^2-4(2)(-5)}}{2(2)} = -\frac{3\pm \sqrt{49}}{4} = -\frac{3\pm 7}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B-3%5Cpm%20%5Csqrt%7B3%5E2-4%282%29%28-5%29%7D%7D%7B2%282%29%7D%20%3D%20-%5Cfrac%7B3%5Cpm%20%5Csqrt%7B49%7D%7D%7B4%7D%20%3D%20-%5Cfrac%7B3%5Cpm%207%7D%7B4%7D)
Simplify, you get your
x's:
![x = 1, -\frac{5}{2}](https://tex.z-dn.net/?f=x%20%3D%201%2C%20-%5Cfrac%7B5%7D%7B2%7D)
To write the equation in simplified form, you just write it this way:
That's your answer ^
Answer:
x^4 - 16x^3 + 96x^2 -256x + 256
Step-by-step explanation:
The coefficients of this using the pascal triangle is ;
1 4 6 4 1
Thus, we have that;
1(x^4•(-4)^0) + 4(x^3)(-4)^1 + 6(x^2)(-4^2) + 4(x^1)(-4)^3 + 1(x^0)(-4)^4
= x^4 - 16x^3 + 96x^2 -256x + 256
After 4 years
the value = 1000 × (1.1)⁴
the value = 1000 × 1.4641
the value = 1464.1
<span>angle A + angle B = 180 degrees ... rhombus and h is the perpendicular distance between two parallelsides of the rhombus. ... The side length of the rhombus is equal to 10 feet. Find its area. ... A rhombus has 2 congruent opposite acute angles and two congruent ... area of rhombus = 2 (1 / 2) (10 feet) 2 sin (60 degrees)</span>
Answer:
He will sell 70 bags of popcorn and 105 bottles
Step-by-step explanation:
In 1 day he sells 14 bags of popcorn and 21 bottles
Multiply 14 by 5 which is 70
then multiply the bottles which is 21 by 5 days
105
He will sell 70 bags of popcorn and 105 bottles