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Gnoma [55]
3 years ago
13

Let f(x) = 8x3 − 28x + 61 and g(x) = 2x + 5. Find f of x over g of x.

Mathematics
1 answer:
antoniya [11.8K]3 years ago
8 0

Answer:

4x^2-10x+11+\frac{6}{2x+5}

Step-by-step explanation:

The given functions are:

f(x)=8x^3-28x+61 and g(x)=2x+5

By algebraic properties of functions;

\frac{f(x)}{g(x)}=\frac{8x^3-28x+61}{2x+5}

We perform the long division of the two polynomials as shown in the attachment.

Therefore:

\frac{8x^3-28x+61}{2x+5}=4x^2-10x+11+\frac{6}{2x+5}

The last choice is correct

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the percentage of pizza were mushroom was 1.5 %

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3 years ago
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A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location. At its Milford location, the
Vlad1618 [11]

Answer:

Milford location has a higher ratio of hamsters to gerbils.

Step-by-step explanation:

Given:

A pet supply chain called Pet City has 5 hamsters and 10 gerbils for sale at its Lanberry location.

At its Milford location, there are 13 hamsters and 16 gerbils.

Now, to find the location who has a higher ratio of hamsters to gerbils.

Ratio of hamsters to gerbils at Lanberry location = 5:10.

=\frac{5}{10}=0.50

                                                                         

Ratio of hamsters to gerbils at Milford location= 13:16.

=\frac{13}{16} =0.8125

                                                       

<em>So, 0.8125 > 0.50.</em>

<em>Thus, </em><u><em>13:16 > 5:10.</em></u><em> </em>

Therefore, Milford location has a higher ratio of hamsters to gerbils.

4 0
3 years ago
ssume that in the year 2000 there are four different forms of psychotherapy available for curing phobias. an experimenter arrang
Liono4ka [1.6K]

We will compare pairwise treatment with the help of t-statistic to find the best treatment.The t-statistic, which is used in statistics, measures how far a parameter's estimated value deviates from its hypothesized value relative to its standard error.We need to check if the treatments are effective in curing phobia.

First, we must determine whether there is a relationship between the type of treatment used and the final result (cure or not cure). We may examine this using the Chi-square test of association.In the second phase, we must determine if all therapies are the same or different if the alternative hypothesis—that is, whether there exists any kind of link between therapy and cure—is accepted.

We must perform a One-way ANOVA for the treatments in this case, assuming that all treatments are equal. If the null hypothesis is rejected in this instance, then the treatments differ. then, we go to step three.We will compare pairwise treatment with the help of t-statistic to find the best treatment.

To learn more about t-statistic visit:brainly.com/question/15236063

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5 0
1 year ago
What is the first step to 7(x – 4) = 84.
ss7ja [257]
Parenthesis according to the PEMDAS rule

So
7(x - 4) = 84

Would be

7x -28 = 84


Hope this helped :)
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