Notice that
(1 + <em>x</em>)(1 + <em>y</em>) = 1 + <em>x</em> + <em>y</em> + <em>x y</em>
So we can add 1 to both sides of both equations, and we use the property above to get
<em>a</em> + <em>b</em> + <em>a b</em> = 76 ==> (1 + <em>a</em>)(1 + <em>b</em>) = 77
and
<em>c</em> + <em>d</em> + <em>c d</em> = 54 ==> (1 + <em>c</em>)(1 + <em>d</em>) = 55
Now, 77 = 7*11 and 55 = 5*11, so we get
<em>a</em> + 1 = 7 ==> <em>a</em> = 6
<em>b</em> + 1 = 11 ==> <em>b</em> = 10
(or the other way around, since the given relations are symmetric)
and
<em>c</em> + 1 = 5 ==> <em>c</em> = 4
<em>d</em> + 1 = 11 ==> <em>d</em> = 10
Now substitute these values into the desired quantity:
(<em>a</em> + <em>b</em> + <em>c</em> + <em>d</em>) <em>a</em> <em>b</em> <em>c</em> <em>d</em> = 72,000
We know that According to Algebra of Real Functions :
If f and g are two real functions which are defined under the same domain then (f - g)(x) = f(x) - g(x)
Given f(x) = x² - 3x - 9 and g(x) = x - 7
⇒ (f - g)(x) = f(x) - g(x)
⇒ (f - g)(x) = x² - 3x - 9 - (x - 7)
⇒ (f - g)(x) = x² - 3x - 9 - x + 7
⇒ (f - g)(x) = x² - 4x - 2
I can’t see nothing it to white don’t let me Click
Answer:the population is threaded rods produced at the factory that week the sample is the 40 threaded rods selected
Step-by-step explanation:
