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Norma-Jean [14]
4 years ago
8

A conference room is in the shape of a rectangle. Its floor has a length of (x − 4) meters and a width of (3x − 1) meters. The e

xpression below represents the area of the floor of the room in square meters:
(x − 4)(3x − 1)

Which of the following simplified expressions represents the area of the floor of the conference room in square meters?

x2 − 13x + 4
3x2 − 13x + 4
3x2 − 11x + 4
x2 − 12x + 4
Mathematics
2 answers:
Naddik [55]4 years ago
7 0

Answer:

3x^2−13x+4

Step-by-step explanation:

(x−4)(3x−1)

=(x+−4)(3x+−1)

=(x)(3x)+(x)(−1)+(−4)(3x)+(−4)(−1)

=3x^2−x−12x+4

=3x^2−13x+4

weqwewe [10]4 years ago
4 0

Answer:

Option A. 3x² - 13x + 4 is the answer.

Step-by-step explanation:

A conference room is in the shape of a rectangle. Its floor has a length of (x - 4) and width of (3x - 1) meters.

The expression that represents the area of the room is (x - 4)(3x -1) meter²

We further simplify this expression representing the area of the conference room.

(x - 4)(3x -1) = x(3x -1) - 4(3x -1) [Distributive law]

= 3x² - x - 12x + 4

= 3x² - 13x + 4

Option A. 3x² - 13x + 4 is the simplified form of the given expression.

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Maths very easy class 8​
Aleks04 [339]

Answer:

Rs. 333

Step-by-step explanation:

Area of the surface of the cuboidal box to be painted = surface area of the cuboidal box - area of the base

✔️Surface area of the cuboidal box = 2(L*W + W*H + L*H)

L = 6 cm

W = 4 cm

H = 2.5 cm

Surface area of the cuboidal box = 2(6*4 + 4*2.5 + 6*2.5) = 2(24 + 10 + 15) = 2(49)

Surface area of cuboidal box = 98 cm²

✔️Area of base = L*W

= 6*4 = 24 cm²

Area of the cuboidal box to be painted = 98 - 24 = 74 cm²

✔️Cost of painting 74 cm² at Rs. 4.50 per cm² = 74 × 4.50 = Rs. 333

8 0
3 years ago
Past experience indicates that the standard deviation of the time it takes for a dentist to perform dental scaling for patients
bagirrra123 [75]

Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples

6 0
3 years ago
An article is bought for Rs200 & sold for Rs250,what is the profit percentage.​
Yuki888 [10]

(200/250)×100 = 80%

100 - 80 = 20%

<em>hope </em><em>it </em><em>helps</em><em>.</em><em>.</em><em>.</em><em>!</em><em>!</em><em>! </em>

4 0
2 years ago
Read 2 more answers
Write the equation of the line with slope 4 through the point (-2, 5)
SSSSS [86.1K]

Answer:

y=4x+13  or y-5=4(x+2)

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

In this problem we have

m=4

(x1,y1)=(-2,5)

substitute

y-5=4(x+2) ----> equation of the line into point slope form

Convert to slope intercept form

y-5=4x+8

y=4x+8+5

y=4x+13 ----> equation of the line into slope intercept form

5 0
3 years ago
10 -4 (2x-1) = -2(3-x)​
Reika [66]

Answer:

x = 2

Step-by-step explanation:

10 -4 (2x-1) = -2(3-x)​

10 - 8x + 4 = -6 + 2x

-10x = -6 -10-4

-10x = -20

x = -20/-10

x = 2

3 0
2 years ago
Read 2 more answers
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