Answer:
x = 1
Step-by-step explanation:
8x - 5(x - 3) = 18
8x - 5x + 15 = 18 <em>[Expand the brackets]</em>
3x = 3 <em>[Separate variables and constants]</em>
<u>x = 1</u>
Answer:
7000 in the account that paid 9% interest rate and 3000 in the account that paid 8% interest rate
Step-by-step explanation:
Let $x be invested in account 1 and $(10000-x) in the second account
Then, 870=x*9/100+(10000-x)*8/100
x=$7,000.
What we want to do first is isolate the variable. To do this we need to multiply each side by 5 to remove the fraction
5 * 5 = 5*
w
Simplify the right side
5 *
w = 1w
Now simplify the left side
5 * 5 = 25
Then we get...
25 = w
There's your answer!
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)
The equation of such parabola would be:
Plug in vertex to find value of 'a'
Now find the focus given that
Answer: the microphone should be placed 7.5 inches from vertex.