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Vladimir79 [104]
3 years ago
9

Find the Remainder of x^2 - 5x - 22 divided by x + 3

Mathematics
1 answer:
Len [333]3 years ago
5 0
               x -8
       ___________
x+3 I x² -5x -22
         x² +3x
        ---------
             -8x -22
             -8x -24
            -----------
                       2
the remainder is 2. 
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A rose garden can be planted for $4000. The marginal cost of growing a rose is estimated to $0.30,
wariber [46]

Answer:

C(x)=4000+0.3x

R(x)=1.75x

Profit= 1.45x-4000

Step-by-step explanation:

We are given that A rose garden can be planted for $4000.

The marginal cost of growing a rose is estimated to $0.30,

Let x be the number of roses

So, Marginal cost of growing x roses = 0.3x

Total cost = 4000+0.3x

So, Cost function : C(x)=4000+0.3x ---A

Now we are given that the total revenue from selling 500 roses is estimated to $875

So, Marginal revenue = \frac{\text{Total revenue}}{\text{No. of roses}}

Marginal revenue = \frac{875}{500}

Marginal revenue = 1.75

Marginal revenue for x roses  = 1.75x

So, Revenue function =  R(x)=1.75x ----B

Profit = Revenue - Cost

Profit= 1.75x-4000-0.3x

Profit= 1.45x-4000  ---C

Now Plot A , B and C on Graph

C(x)=4000+0.3x  -- Green

R(x)=1.75x  -- Purple

Profit= 1.45x-4000  --- Black

Refer the attached graph

6 0
3 years ago
Which one of the following statements is true of perpendicular lines?
miv72 [106K]
A. Thay intersect at one point.
5 0
3 years ago
How I simplify this real life expression and show unit analysis?
Anton [14]

The value of the real life expression is, simple interest = $12.5

<h3>How to simplify this real life expression and show unit analysis?</h3>

The real life expression is given as:

simple interest = ($100) (0.05/year) (2.5 years

Divide 1 year by 1 year

simple interest = ($100) (0.05) (2.5)

Rewrite the equation as a product of factors

simple interest = ($100) * (0.05)*  (2.5)

Evaluate the product of 0.05 and 2.5

simple interest = ($100) * 0.125

Evaluate the product of $100 and 0.125

simple interest = $12.5

Hence, the value of the real life expression is, simple interest = $12.5

Read more about expressions at:

brainly.com/question/723406

#SPJ1

6 0
1 year ago
In an experiment you do a chi-square test comparing observed and expected progeny. Your calculated chi square is 0.375. With 1 d
myrzilka [38]

Answer:

It mean that the observed progeny is similar than the expected progeny. There is no a relationship between the categorical variables.

Step-by-step explanation:

The Chi-squared test is used to test the relationship between categorical variables. A categorical variable is a non-numerical variable. The null hypothesis of the Chi-squared test is that categorical variables are independent; it means that the frequencies are not dependent on the variable. It is important to know that the Chi-squared test does not measure causality, it only measures the relationship. To reject the null hypothesis, you usually need a probability lower than 0.05, but in this case, the probability was way higher than 0.05, it was between 0.5 and 0.9.

4 0
3 years ago
What’s is the vertex y=x^2-2x+26
andreev551 [17]

Answer:

(1, 25)

Step-by-step explanation:

Convert to vertex form so that the equation is (x - 1)^2 + 25

If 1 is <em>h </em>and 25 is <em>k</em>, (<em>h, k</em>), the result would be (1, 25)

5 0
3 years ago
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