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2 years ago

The product of two rational numbers is (-28/81). If one of them is (-2/3), the find the other.

Mathematics

2 answers:

KatRina [158]2 years ago

6 0

Answer:

The other rational number is $\dfrac{14}{27}$ .

Step-by-step explanation:

First rational number is $\dfrac{-2}{3}$

Let other rational number is $\dfrac{x}{y}$

The product of two rational numbers is $\dfrac{-28}{81}$

According to question,

$\dfrac{x}{y}\times \dfrac{-2}{3}=\dfrac{-28}{81}$

Multiplying both sides by (-3/2) such that,

$\dfrac{x}{y}\times \dfrac{-2}{3}\times \dfrac{-3}{2}=\dfrac{-28}{81}\times \dfrac{-3}{2}\\\\\dfrac{x}{y}=\dfrac{14}{27}$

So, the other rational number is $\dfrac{14}{27}$ .

steposvetlana [31]2 years ago

4 0

Answer:

The other rational number is . 14

Step-by-step explanation:

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What is the greatest common factor of 4-6a

strojnjashka [21]

Answer:

The GFC of 5 and 6 is 2.

Step-by-step explanation:

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2 years ago

Find the range of the following piecewise function.

Anna11 [10]

Given:

The piecewise function is

$f(x)=\begin{cases}x+4 & \text{ if } -4\leq x$

To find:

The range of given piecewise function.

Solution:

Range is the set of output values.

Both functions $f(x)=x+4$ and $f(x)=2x-1$ as linear functions.

Starting value of $f(x)=x+4$ is at x=-4 and end value is at x=3.

Starting value: $f(-4)=-4+4=0$

End value: $f(3)=3+4=7$

Starting value of $f(x)=2x-1$ is at x=3 and end value is at x=6.

Starting value: $f(3)=2(3)-1=5$

End value: $f(6)=2(6)-1=11$

Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.

Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.

So, the range of the given piecewise function is [0,11).

Therefore, the correct option is A.

5 0

2 years ago

Steve and Michelle Neely are celebrating their 30th anniversary by having a reception at a local reception hall. They have budge

lord [1]

4 500-60 = 4 440
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3 years ago

Read 2 more answers

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kotegsom [21]

Answer:

$100

Step-by-step explanation:

8x= 160

160/8 = 20

x=20

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2 years ago

for a field trip 12 students rode in cars and the rest filled six buses how many students were in each bus if 342 students were

kolezko [41]

Answer:

Step-by-step explanation:

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3 years ago