Answer is Provided in the image attached.
Answer:
10
Step-by-step explanation:
P(getting blue marbles) = 7/9
so;
x/45 = 7/9
x = 35
so the number of blue marbles is 35
45 - 35 = 10 red marbles
hope it helps .
all the best
<h3>
Answer: Negative</h3>
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Explanation:
3/7 = 0.42857 approximately
Pick a number between that value and 5, not including either endpoint. Let's say we pick x = 2
Plug x = 2 into the f(x) function
f(x) = (x - 5)(2x + 7)(7x-3)
f(2) = (2 - 5)(2*2 + 7)(7*2-3)
f(2) = (2 - 5)(4 + 7)(14-3)
f(2) = (-3)(11)(11)
f(2) = -363
The actual result doesn't matter. All we're after is whether the result is positive or negative. We see the result is negative. This means f(x) is negative when 3/7 < x < 5. The f(x) curve is below the x axis on this interval.
I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"
Answer and Explanation:
There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week
To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.
49 weeks×5 shifts= 245 shifts per operator per year
365×3 shifts= 1095 shifts per year
1095/245=4.5 operators per shift
total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14
total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928
Answer:
B. -4
Step-by-step explanation:
We want to find x such that f(x)=18.
We need to therefore solve 9x+54=18 forx.
9x+54=18
Divide both sides by 9:
(9x+54)/9=18/9
9x/9+54/9=18/9
Simplify:
x+6=2
Subtract 6 on both sides:
x=2-6
Simplify
x=-4.
So f(-4) should have value 18.
Let's check.
f(x)=9x+54
f(-4)=9(-4)+54
f(-4)=-36+54
f(-4)=18
So the answer is B.
