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Strike441 [17]
4 years ago
5

A bedroom has a length of x+ 3 feet and a width of x-1 feet. Write a polynomial to express the area of the bedroom. Then calcula

te the area if x =10
Mathematics
1 answer:
jekas [21]4 years ago
3 0

Answer:

Step-by-step explanation:

Length = x+3

Width = x-1

Area = l*b

where l is the length of the bedroom

and b is the breadth or width of the bedroom

The polynomial can be written as:

Area=(x+3)(x-1)

Now we will find the area of the room when x=10

First we will find the values of length and width.

Length = x+3

Length = 10+3 = 13

Width = x-1

Width = 10-1=9

Now put the values in the formula:

Area=l*b

Area=13*9

Area = 117 square feet....

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Ryan found a pattern on the addition table . He shaded two diagonal lines that show his pattern. What is his pattern?
LenaWriter [7]

it would be adding by 2's because to get from 2 to 4 you have to add two or from 6 to 8 you have to add two also


6 0
4 years ago
The sum of twice a number and 5 less than the number is the same as the difference between 17 and the number
Valentin [98]
The sum of twice a number                            (x^2)
and 5 less than the number                             -5
 is the same as                                                  =
 the difference between 17 and the number  17-x

(x^2) - 5 = 17 - x
6 0
3 years ago
Solve pls brainliest
andre [41]

Answer:

Step-by-step explanation:

1. no-has decimal

2. yes, simplifies to -2

3. yes

4. yes

5. no-2.1

8 0
3 years ago
A researcher groups college students in a study based on their year in college (freshman, sophomore, junior, senior) and the typ
UkoKoshka [18]

Answer:

d. all of the above                

Step-by-step explanation:            

A two-way ANOVA generally compares the "mean differences" between different groups that are being split into two distinct independent variables which are also referred to as factors. The main aim of a two-way ANOVA is to comprehend if there is any interaction that exists between these two "independent variables" to that of the "dependent variable".

A simple main effect test is described as a phenomenon in which the effect of one specific 'independent variable' that possess within one level related to a second or the other 'independent variable'. It utilizes the "df" and the "error term" from the 'whole design'.

The post-hoc test is described as a test that generally analyzes the results of experimental data.

3 0
4 years ago
Find lim h->0 f(9+h)-f(9)/h if f(x)=x^4 a. 23 b. -2916 c. 2916 d. 2925
Svetach [21]

\displaystyle\lim_{h\to0}\frac{f(9+h)-f(9)}h = \lim_{h\to0}\frac{(9+h)^4-9^4}h

Carry out the binomial expansion in the numerator:

(9+h)^4 = 9^4+4\times9^3h+6\times9^2h^2+4\times9h^3+h^4

Then the 9⁴ terms cancel each other, so in the limit we have

\displaystyle \lim_{h\to0}\frac{4\times9^3h+6\times9^2h^2+4\times9h^3+h^4}h

Since <em>h</em> is approaching 0, that means <em>h</em> ≠ 0, so we can cancel the common factor of <em>h</em> in both numerator and denominator:

\displaystyle \lim_{h\to0}(4\times9^3+6\times9^2h+4\times9h^2+h^3)

Then when <em>h</em> converges to 0, each remaining term containing <em>h</em> goes to 0, leaving you with

\displaystyle\lim_{h\to0}\frac{f(9+h)-f(9)}h = 4\times9^3 = \boxed{2916}

or choice C.

Alternatively, you can recognize the given limit as the derivative of <em>f(x)</em> at <em>x</em> = 9:

f'(x) = \displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h \implies f'(9) = \lim_{h\to0}\frac{f(9+h)-f(9)}h

We have <em>f(x)</em> = <em>x</em> ⁴, so <em>f '(x)</em> = 4<em>x</em> ³, and evaluating this at <em>x</em> = 9 gives the same result, 2916.

8 0
3 years ago
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