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Grace [21]
3 years ago
10

The area of a rectangle is 18 m² if the length is 6 m less than five times the width then find the dimensions of the rectangle r

ound off your answer to the nearest hundredth
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
3 0

Answer:

Step-by-step explanation:

width = w

L = 5w - 6

w(5w - 6) = 18

5w^2 - 6w = 18

5w^2 - 6w - 18 = 0

Using the quadratic equation formula

x = 2.58997 and

x = -1.38997   This root cannot be. (No rectangle has a minus length.

w = 2.58997

L = 5*2.58997 - 6

L = 6.94985

w = 2.59

L = 6.95

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Answer:

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8 0
3 years ago
Which measure of center best represents this set of data? Number of television sets in the home: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4 *
nataly862011 [7]

Answer:

Mean

Step-by-step explanation:

Given

Data: 4, 4, 2, 4, 4, 1, 3, 4, 2, 4

Required

Best measure of center

The mean is considered the best measure of center when there are no outliers in the given data.

Outlier is when a particular data set is far away from other datasets.

For instance: 20 is an outlier in the following data sets: 4, 4, 2, 20, 4, 4, 1, 3, 4, 2, 4

Also, the given data are not open-ended.

An open-ended data is as follows: 1, 2, 3, 4, 5\ or\ more

Since we do not have any of the above conditions, then the mean is the best center to use.

7 0
3 years ago
Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> In 2x - In(3x - 1) = 0
LenKa [72]

Answer:

\frac{-1}{3x^2-x}

Step-by-step explanation:

  1. If f(x) is in th form of f(x)=g(x)-h(x) then f'(x)=g'(x) - h'(x)
  2. When f(x)=z(g(x)) then f'(x)= z'(g(x))g'(x) (called as chain rule)

<u>using these information</u>:

g(x)=ln2x then g'(x)=\frac{(2x)'}{2x} =\frac{2}{2x}=\frac{1}{x}

h(x)=In(3x - 1) then h'(x)=\frac{(3x-1)'}{3x-1} =\frac{3}{3x-1}f'(x)=g'(x) - h'(x) =[tex]\frac{1}{x} - \frac{3}{3x-1} =\frac{-1}{3x^2-x}

7 0
4 years ago
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sergij07 [2.7K]
20+4 = 24

24x3 = 72

x=72
4 0
3 years ago
Find the y intercept.<br> y=-(2^x)
castortr0y [4]

Hello!

To find the y-intercept of any given equation, you will need to substitute x for zero.

Also, to write the y-intercept as an ordered pair, it will look like (0, y), where y is the y-intercept, and x-value is zero because we substituted zero into all the x-values of the equation.

y = -(2^x) (substitute x = 0)

y = -(2^0) (any exponent raised to the power of zero is equal to one)

y = -(1) (simplify)

y = -1

Therefore, the y-intercept of the function y, is (0, -1).

4 0
4 years ago
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