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3 years ago

Use the rational zero thereom to list all possible zeroes of the function f(x)= 5x^8-2x^5-7

Mathematics

1 answer:

Scrat [10]3 years ago

4 0

Possible rational zeros are:

$\pm1,\pm7,\pm\frac{1}{5},\pm\frac{7}{5}$

Step-by-step explanation:

We need to list all possible zeroes of the function $f(x)= 5x^8-2x^5-7$ using rational zero theorem.

The rational zero theorem.

rational zero theorem states that zeros can be found by dividing the factors of constant term called p by the factors of the leading co-efficient called q i.e

p/q

In our given function $f(x)= 5x^8-2x^5-7$

p = 7

q = 5

Factors of p (7) = ±1, ±7

Factors of q (5) = ±1, ±5

$\frac{p}{q} =\frac{\pm1,\pm7}{\pm1,\pm5}$

So, possible rational zeros are:

$\pm1,\pm7,\pm\frac{1}{5},\pm\frac{7}{5}$

Keywords: rational zero theorem, possible zeroes

Learn more about rational zero theorem at:

#learnwithBrainly

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A fund earns a nominal rate of interest of 6\% compounded every two years. Calculate the amount that must be contributed now to

Nesterboy [21]

Answer:

$712.

Step-by-step explanation:

We have been given that a fund earns a nominal rate of interest of 6% compounded every two years. We are asked to find the amount that must be contributed now to have 1000 at the end of six years.

We will use compound interest formula to solve our given problem.

$A=P(1+\frac{r}{n})^{nt}$ , where,

A = Final amount,

P = Principal amount,

r = Annual interest rate in decimal form,

n = Number of times interest is compounded per year,

t = Time in years.

$6\%=\frac{6}{100}=0.06$

Since interest is compounded each two years, so number of compounding per year would be 1/2 or 0.5.

$1000=P(1+\frac{0.06}{0.5})^{0.5*6}$

$1000=P(1+0.12)^{3}$

$1000=P(1.12)^{3}$

$1000=P*1.404928$

$\frac{1000}{1.404928}=\frac{P*1.404928}{1.404928}$

$P=711.7802478$

$P\approx 712$

Therefore, an amount of $712 must be contributed now to have 1000 at the end of six years.

7 0

3 years ago

The sum of three consecutive even integers is -78, what are the integers ?

Digiron [165]

First, you need to analize and understand the problem, then you must choose and strategy. There is a wide variety of strategies to solve a mathematical problem, in this case, you can use the following, which is based on the information given above:
1. You have that the sum of three consecutive even integers is $-78$ , therefore, you can given the variable $x
$ to the first integer, the second even integer is $x+2$ and the third one is $x+4
$ .
2. Calculate x:
 $x+(x+2)+(x+4)=-78$ 
 $3x+6=-78$
 $x=-28
$ 
 $x+2=-28+2=-26
$ 
 $x+4=-28+4=-24
$ 
Therefore, the answer is: $-28,-26,-24
$

5 0

2 years ago

last summer, at camp okey-fun-okey, the ratio of the number of boy campers to girl campers was 8:7. If there were a total of 195

Evgen [1.6K]

The ration of boy campers to total campers is 8:15, and the ratio of girl campers to total campers is 7:15. Using this information, we can answer this question by setting up proportions.

For boys:

$\frac{8}{15} =\frac{x}{195}$