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koban [17]
3 years ago
8

Which of the following is the inverse of y = 2/3x + 1

Mathematics
2 answers:
Vesnalui [34]3 years ago
6 0

Answer:

Y=3/2x - 3/2

Step-by-step explanation:

To find the inverse, switch the x and y in the equation. Then solve for y.

Y=2/3x+1

X=2/3y+1

X-1=2/3y

3/2(x-1)=y

3/2x-3/2=y

DochEvi [55]3 years ago
4 0

Answer:

x = \frac{3}{2}\cdot y - \frac{3}{2}

Step-by-step explanation:

The inverse of the linear function is found by algebraic manipulation:

y = \frac{2}{3}\cdot x + 1

y - 1 = \frac{2}{3}\cdot x

\frac{3}{2}\cdot (y-1) = x

x = \frac{3}{2}\cdot (y-1)

x = \frac{3}{2}\cdot y - \frac{3}{2}

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Irina-Kira [14]

Given data is 54, 59, 35, 41, 46, 25, 47, 60, 54, 46, 49, 46, 41, 34, 22

Arranging it in increasing order:

22 25 34 35 41 41 46 46 46 47 49 54 54 59 60

Number of data items, n=15.

Finding Median, First Quartile, and Third Quartile

Finding\;\;median\\M=\frac{n+1}{2}th\;\;term =\frac{15+1}{2}=8th\;\;term\;\; i.e. \;\;46

22 25 34 35 41 41 46 46 46 47 49 54 54 59 60

Now finding First Quartile from set: 22 25 34 35 41 41 46

Q₁ = middle term i.e. 35

Now finding Third Quartile from set: 46 47 49 54 54 59 60

Q₃ = middle term i.e. 54

So we have Q₁ = 35, M = 46, and Q₃ = 54. Lower bound is 22 and Upper bound is 60.

While drawing the given data on number line and marking First quartile, Median, Third quartile on number line. We can clearly observe that option A matches with given data points.

Hence, option A i.e. Box-plot A is the correct choice.

5 0
3 years ago
Read 2 more answers
Arrange these lunch buyers from greatest to least assuming they buy lunch 5 days per week: Alice spends $3 per day, Betty spends
ValentinkaMS [17]

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Cindy spends $ 75 per month, and on an average there are less then 5 weeks in a month . SO for 5 week, it must be greater than $75 .

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3 0
3 years ago
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kkurt [141]
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8 0
2 years ago
A soup bowl is in the shape of a hemisphere with a diameter of 10 cm. What is the approximate maximum volume of soup that the bo
Oduvanchick [21]

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Step-by-step explanation:

The maximum water that bowl can hold = The volume of the bowl

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Radius is half of diameter.

<u>Given</u> -

  • Diameter = 10cm .

<em>From</em><em> </em><em>the</em><em> </em><em>given</em><em> </em><em>data</em><em> </em><em>we</em><em> </em><em>can</em><em> </em><em>derive </em><em>that</em><em> </em><em>the</em><em> </em><em>radius</em><em> </em><em>of</em><em> </em><em>the</em><em> </em><em>hemispheri</em><em>cal</em><em> </em><em>bowl</em><em> </em><em>is</em><em> </em><em>5</em><em>c</em><em>m</em><em> </em><em>(</em><em>1</em><em>0</em><em>/</em><em>2</em><em>)</em>

Putting the known values into the formula to get the value of the volume of bowl :

\mathsf{volume =  \frac{2}{3} \times \:   3.14 \:  \times  {5}^{3} }

= 3.48888cm³

= 3.48cm³

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3 years ago
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MaRussiya [10]
12a
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science: 70*0.9 = 63 number correct
b. Science
c.48

8 0
3 years ago
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