X-8/5=2/4
4(x-8)=5(2)
4x-32=10
4x=10+32
4x=42
x=42÷4
x=10.5
Answer:
<h2>
![20 {x}^{3} - 36 {x}^{2} + 7x + 3](https://tex.z-dn.net/?f=20%20%7Bx%7D%5E%7B3%7D%20%20-%2036%20%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20%2B%20%203)
</h2>
Solution,
![(5x + 1)(2x - 1)(2x - 3)](https://tex.z-dn.net/?f=%285x%20%2B%201%29%282x%20-%201%29%282x%20-%203%29)
![= 5x(2x - 1) + 1(2x - 1) \times (2x - 3) \\ = (10 {x}^{2} - 5x + 2x - 1)(2x - 3) \\ = (10 {x}^{2} - 3x - 1)(2 x - 3) \\ = 10 {x}^{2} (2x - 3) - 3x(2 x - 3) - 1(2x - 3) \\ = 20 {x}^{3} - 30 {x}^{2} - 6 {x }^{2} + 9x - 2x + 3 \\ = 20 {x}^{3} - 36 {x}^{2} + 7x + 3](https://tex.z-dn.net/?f=%20%3D%205x%282x%20-%201%29%20%2B%201%282x%20-%201%29%20%5Ctimes%20%282x%20-%203%29%20%20%20%5C%5C%20%20%3D%20%2810%20%7Bx%7D%5E%7B2%7D%20%20-%205x%20%2B%202x%20-%201%29%282x%20-%203%29%20%5C%5C%20%20%3D%20%2810%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20-%201%29%282%20x%20-%203%29%20%5C%5C%20%20%3D%2010%20%7Bx%7D%5E%7B2%7D%20%282x%20-%203%29%20-%203x%282%20x%20-%203%29%20-%201%282x%20-%203%29%20%5C%5C%20%20%3D%2020%20%7Bx%7D%5E%7B3%7D%20%20-%2030%20%7Bx%7D%5E%7B2%7D%20%20-%206%20%7Bx%20%7D%5E%7B2%7D%20%20%2B%209x%20-%202x%20%2B%203%20%5C%5C%20%20%3D%2020%20%7Bx%7D%5E%7B3%7D%20%20-%2036%20%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20%2B%203)
Hope this helps..
Good luck on your assignment...
She spent 1/2 more the time on her math project then on her reading homework.
Answer:
$3,240
Step-by-step explanation:
The computation of the money that have to be paid by the shopkeeper to the manufacture is shown below:
Given that
the sale price of television is $2,700
And, the profit is of 20%
So, the price paid is
= $2,700 + $2,700 × 20%
= $2,700 + $540
= $3,240
Answer:
a = 80
b = 3/4
the general equation is;
y = 80•(3/4)^x
Step-by-step explanation:
Here, we want to get the values of a and b
We are going to use the two points given
(0,80) and (1,60)
So we have this as;
for the first point;
80 = a•b^0
anything raised to power of 0 is 1
Thus;
80 = a * 1
a = 80
for the second point;
60 = 80 * b^1
60 = 80b
b = 60/80
b = 3/4
So we have the general equation as;
y = 80•(3/4)^x