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4 years ago

The area of a rectangular room is given by the trinomial x + 3x - 28. What are the possible

Mathematics

1 answer:

kap26 [50]4 years ago

3 0

Answer:

The possible dimensions of the rectangle are (x+7) and (x -4).

Step-by-step explanation:

Here, the given expression for area of the rectangle is: $x^{2} + 3x - 28$

Now, Area of the rectangle = Length x Width

Hence, to find the dimensions, we need to factorize the given trinomial.

So, $x^{2} + 3x - 28 = x^{2} + 7x - 4x- 28$

⇒ $x^{2} + 7x - 4x- 28 = x(x+7)-4(x+7) = (x+7)(x-4)$

⇒ $x^{2} + 3x - 28 = (x+7)(x-4)$

So, the factors of the polynomial are (x+7) and (x -4)

Hence, the possible dimensions of the rectangle are (x+7) and (x -4).

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A sociologist studying freshmen carried out a survey, asking, among other questions, how often students went out per week, how m

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Answer:

This is called Simpson's Paradox.

Therefore the correct option is A.) Simpson's Paradox.

Step-by-step explanation:

i) This is called Simpson's Paradox.

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3 years ago

If f(x) = 2x + 1 and g(x) = x2 find g (f(3))

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Answer:

g(f(3)) = 49

Step-by-step explanation:

Evaluate f(3), then substitute the value obtained into g(x) , that is

f(3) = 2(3) + 1 = 6 + 1 = 7, then

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3 years ago

Equation A: y = -9x + 14

Sergio [31]

The solution is (2,-4)

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3 years ago

Read 2 more answers

Factorise (x-y)4-(x-y)2<br>

Ber [7]

Answer:

Step-by-step explanation:

Let x - y = A

A^4 - A^2

A^2 ( A^2 - 1)

A^2 (A + 1)(A - 1)

(x - y)^2 (x - y + 1)(x - y - 1)

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6 0

3 years ago

Four plumbers estimated the length of the radius of a cylindrical pipe. The estimates made by

o-na [289]

Answer:

B. $\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25}, \frac{9}{100}$

Step-by-step explanation:

The question is not properly presented. See attachment for proper presentation of question

From the attachment, we have that:

$W = \frac{3}{25}$

$X = \frac{\sqrt{3}}{11}$

$Y = \frac{9}{100}$

$Z = \frac{\pi}{24}$

Required

Order from greatest to least

First, we need to simplify each of the given expression (in decimals)

$W = \frac{3}{25}$

$W = 0.12$

$X = \frac{\sqrt{3}}{11}$

Take square root of 3

$X = \frac{1.73205080757}{11}$

$X = 0.15745916432$

$X = 0.16$ --- approximated

$Y = \frac{9}{100}$

$Y = 0.09$

$Z = \frac{\pi}{24}$

Take π as 3.14

$Z = \frac{3.14}{24}$

$Z = 0.13083333333$

$Z = 0.13$ --- approximated

List out the results, we have:

$W = 0.12$ $X = 0.16$ $Y = 0.09$ $Z = 0.13$

Order from greatest to least, we have:

$X = 0.16$ $Z = 0.13$ $W = 0.12$ $Y = 0.09$

Hence, the order of arrangement is:

$X = \frac{\sqrt{3}}{11}$ $Z = \frac{\pi}{24}$ $W = \frac{3}{25}$ $Y = \frac{9}{100}$

i.e.

$\frac{\sqrt{3}}{11}, \frac{\pi}{24}, \frac{3}{25}, \frac{9}{100}$

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3 years ago