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4 years ago

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

1 answer:

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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Analyze the following table of values.<br><br> y=1/2x<br> y=1/2^x2+4<br> y=4^x2+1/2<br> y=4(1/2)x

Fittoniya [83]

The table models an exponential relationship, and the equation of the table is $y = 4(1/2)^x$

<h3>How to analyze the table of values?</h3>

The table of values is given as:

x 0 1 2 3 4

y 4 2 1 1/2 1/4

The above table shows an exponential model

An exponential model is represented as:

$y = ab^x$

When x = 0 and y = 4, we have

$ab^0 = 4$

Evaluate

a = 4

When x = 1 and y = 2, we have

$ab^1 = 2$

Evaluate

$ab = 2$

Substitute 4 for a

4b = 2

Divide both sides by 4

b = 1/2

Substitute 4 for a and 1/2 for b in $y = ab^x$

$y = 4(1/2)^x$

Hence, the equation of the table is $y = 4(1/2)^x$

Read more about exponential models at:

brainly.com/question/11464095

#SPJ1

6 0

2 years ago

2(n2 + 1) – 3(n2 – 3) + 3(2n2 – 2),<br> n=(1/4)

IceJOKER [234]

]Answer:

$5\frac{5}{16}$

Step-by-step explanation:

Substitute the value of the variable into the equation and simplify.

$2(\frac{1}{4} ^{2} +1-3(\frac{1}{4} ^{2} -3)+3((2*\frac{1}{4}^{2} )-2)$

Solve it out.

Multiply / divide / add / subtract everything out.

4 0

3 years ago

How do I solve this equation

Anestetic [448]

-x - y = 8
2x - y = -1

Ok, we are going to solve this in 2 parts. First we have to solve for one of the variables in one of the equation in terms of the other variable. I like to take the easiest equation first and try to avoid fractions, so let's use the first equation and solve for x.

-x - y = 8 add y to each side
-x = 8 + y divide by -1
x = -8 - y

So now we have a value for x in terms of y that we can use to substitute into the other equation. In the other equation we are going to put -8 - y in place of the x.

2x - y = -1
2(-8 - y) - y = -1 multiply the 2 through the parentheses
-16 - 2y - y = -1 combine like terms
-16 - 3y = -1 add 16 to both sides
-3y = 15 divide each side by -3
y = -5

Now we have a value for y. We need to plug it into either of the original equations then solve for x. I usually choose the most simple equation.

-x - y = 8
-x - (-5) = 8 multiply -1 through the parentheses
-x + 5 = 8 subtract 5 from each side
-x = 3 divide each side by -1
x = -3

So our solution set is

(-3, -5)

That is the point on the grid where the 2 equations are equal, so that is the place where they intersect.

4 0

3 years ago

Jackson’s mother buys 4 packs of hamburger meat.Each pack contains 4/6 of a pound of meat.How much total meat did she buy?

wariber [46]

Answer:

8/3 total or 2 2/3

Step-by-step explanation:

4 x 4/6 is the same thing as...

4/1 x 4/6

Multiply straight across...

16/6

Simplify...

8/3 total or 2 2/3

5 0

3 years ago

If one earthquake has a magnitude of 5 on the Richter scale and a second earthquake has a magnitude of 6,

sammy [17]

Answer:

sister and brother

5 0

3 years ago