Answer:
hope it helps you..,.....,..........
Answer:
-58
Step-by-step explanation:
-|123+(-1)|/2-(-3)
-|122|/2-(-3)
-122/2-(-3)
-61-(-3)
-58
Okay. So t is in the parenthesis of the equations and represents the number of years after 1950. In this case, the first, second, third, and the seventh tile won't work, because those numbers are too big to be applicable as years. The number of vinyls sold each year would be put behind the equal sign. If you solve it correctly, here are your answers starting from the top:
1. f(8) = 68,594
2. f(11) = 91,299
3. f(2) = 38,720
4. f(17) = 161,743
What a delightful little problem ! (Partly because I could see
right away how to do it, and had the answer in a few minutes,
after a lot of impressive-looking algebra on my scratch-paper.)
Three consecutive integers are . . . x, x+1, and x+2
The smallest two are . . . x and x+1
Their product is . . . . . x(x+1)
5 times the largest one is . . . 5(x+2)
5 less than that is . . . . . . 5(x+2)-5
Now, the conditions of the problem say that <u>x (x + 1) = 5 (x+2) - 5</u>
THAT's the equation we have to solve, to find 'x' .
Eliminate parentheses: x² + x = 5x + 10 - 5
Combine like terms: x² + x = 5x + 5
Subtract 5x from each side: x² - 4x = 5
Subtract 5 from each side: <u>x² - 4x - 5 = 0</u>
You could solve that by factoring it, or use the quadratic equation.
Factored, it says that (x + 1) (x - 5) = 0
From which <em>x = -1</em>
and <em>x = +5</em>
We only want the positive results, so our three consecutive integers are
5, 6, and 7 .
To answer the question, the smallest one is <em><u>5 </u></em>.
<u>Check</u>:
5 x 6 ? = ? (7 x 5) - 5
30 ? = ? (35) - 5
30 = 30
yay !
The answer is 4/3 and I checked two times
