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 !
Good morning Sir/Ma'am!
Answer:
f(r) = 40r + 26
If she can only afford 10 rolls, then the maximum number of nickels Cindy will have is:
f(10) = 40(10) + 26 = 426 nickels
Step-by-step explanation:
Given function f(r)=40r+26, where r is the number of rolls of nickels she gets.
as it is already mentioned that she can get up to 10 rolls of nickels.
Therefore domain of function contains r ≤10,such that r is a natural number.
i.e.Domain of f(r)=all integers from 1 to 10, inclusive.
Domain of a f(x) is a set of values of x which make function f(x) well defined.
--------------------------------------------------------------------------------------------------------
Have a great day! ( :
Answer:
C) 
Step-by-step explanation:

<h2>DOWNLOAD </h2><h2>THE</h2><h2>APP </h2><h2>PHOTOMATH </h2>
Answer: -2/3
Step-by-step explanation: