<span>f(x) = x^2 - 12x + 7
First, separate the first two terms from the constant
f(x) = (x^2 - 12x) + 7
Next, half the coefficient of second term in the parenthesis (12x) and square the result. Make sure to subtract outside the parenthesis what you added inside so that the equation stays equal.
f(x) = (x^2 - 12x + 36) + 7 - 36
f(x) = </span><span>(x^2 - 12x + 36) - 29
Now, just factor the trinomial inside the parenthesis, lemme know in a comment if you don't know how to do this and I'll explain.
f(x) = (x(x - 6) -6(x - 6)) - 29
f(x) = (x - 6)^2 - 29
The polynomial is now in vertex form, and the value of a, as you can see, is 6.
</span>
because -2/5 is closer to 0 than -5/12
3 men
4 women
7 total
3 men/ 7 total = 198 men/ x total
using cross products
3*x = 7 * 198
divide each side by 3
x = 7*198/3
x = 462
There are 462 workers
If you mean 3 men and 1 women for a total of 4 workers when you state a ratio of men and women in a certain factory is 3 to 4.
3/4 =198/x
Using cross products
3x = 4* 198
Divide each side by 3
3x/3 = 4*198/3
x =264
264 workers
It all depends on how you define ratio of men and women in a certain factory is 3 to 4. This is incorrect phrasing and I took it to be men to women. You cannot have a ratio of men and women.
Answer:
im pretty sure its four
Step-by-step explanation:
Answer: here is your answer
Step-by-step explanation:
You can put this solution on YOUR website!
+t+ = traveler's speed in ft/sec
+w+ = walkway's speed in ft/sec
given:
+t+-+w+=+2+
+t+%2B+w+=+6+
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Add the equations
+2t+=+8+
+t+=+4+
and
+t+%2B+w+=+6+
+4+%2B+w+=+6+
+w+=+2+
The traveler's speed off the walkway is 4 ft/sec
The speed of the moving walkway is 2 ft/sec
