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Otrada [13]
4 years ago
8

F(x)=1/4x^2+1/2x-35/4 how do I factor fractions?

Mathematics
1 answer:
Ivanshal [37]4 years ago
5 0

let's multiply both sides by the LCD of all fractions, in this case is 4, just to do away with the denominators for a few seconds

\bf f(x) = \cfrac{1}{4}x^2+\cfrac{1}{2}x-\cfrac{35}{4}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{4}}{4[f(x)]=4\left( \cfrac{1}{4}x^2+\cfrac{1}{2}x-\cfrac{35}{4} \right)} \\\\\\ 4f(x) = x^2+2x-35\implies 4f(x) = (x+7)(x-5) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill f(x) = \cfrac{1}{4}(x+7)(x-5)~\hfill

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4321342345670<br> +22347968
Ad libitum [116K]

the Answer is

4.3213647e+12

3 0
3 years ago
Look at the arrows in the drawings below. Indicate whether the arrows are parallel, perpendicular, or neither.
IceJOKER [234]

Answer:

In A and D the arrows are perpendicular, in B they are parallel and in C they are neither parallel nor perpendicular.

Step-by-step explanation:

3 0
3 years ago
1. A notebook costs $5 more than a folder. Greg purchased 3 notebooks and 2 folders and paid a total cost $30. What is the cost
stiv31 [10]
Answer
Notebook each =$4
Folder each = $9

First we write out what we know
Notebook = n
Folder = f
It says a notebook is +5 than a folder so
f = n +5
It says he bought 3 notebooks and 2 folders for $30
3n + 2f = 30

Because we know from the first equation
f=n+5, we can substitute that into the second equation for f

3n + 2(n+5) = 30
3n + 2n +10 =30. Now Combine like terms
5n +10 =30. Now isolate n by subtracting 10 from both sides
5n = 20. Now isolate n by dividing both sides by 5
n = 4

Now we do the same thing to find f
We substitute the value of n (4) into the equation 3n + 2f =30
3(4) +2f =30
12 +2f =30. Now isolate f by subtracting 12 from both sides
2f = 18. Now isolate f by dividing both sides by 2
f = 9


We check our work by inserting the n and f values we found into one of the equations
n + 5 = f
4 + 5 = 9
9 = 9. It worked it equals so it’s correct
8 0
2 years ago
How do I describe the real zeroes of this function using Descartes's Rule of Signs?
Serhud [2]
The number of positive roots is the number of changes of signs there are, then decrease by 2 each time and stop when you get to 1 or 0

negative roots, sub every x with -x and reevaluate, count change of signs
decrease by 2 each time and stop when you get to 1 or 0

y=+2x⁵-x⁴-2x³+4x²+x-2
+,-,-,+,+,-
 1    2  3

3 or 1 positive roots

replace x with -x ( baically flip all signs of odd powerd numbers)

y=-2x⁵-x⁴+2x³+4x²-x-2
   -,-,+,+,-,-
     1    2

2 or 0 negative roots



3 or 1 positive roots
2 or 0 negative roots
2nd option is answer

4 0
4 years ago
|(1)
Yanka [14]
So first you would divide 1950/6 to find the amount for one year of their age.
Then you would multiply that by the ages, which should get you 4 numbers, then you all those numbers together. Try 9750.
3 0
3 years ago
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