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3 years ago

3. Simplify log3 20 - log3 5

Mathematics

1 answer:

aalyn [17]3 years ago

5 0

$\log_320-\log_35=\log_3\dfrac{20}{5}=\log_34$

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What is the graph of the inequality 3x+2y>-5

Doss [256]

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the $x-intercept$ and $y-intercept$ for given equation.

For $x-intercept$ , substitute $y=0$

Considering inequality sign as equality and simplifying,

$3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3}$ , point is $(-\frac{5}{3} ,0)$

Similarly,

For $y-intercept$ , substitute $x=0$

We get,

$3x+2y=-5\\0+2y=-5\\y=-5/2$ , point is $(0,-\frac{5}{2})$

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

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3 years ago

In New York a crowed subway has 375 passengers distributed between 5 cars. What is the unit rate for each subway car?

Andrews [41]

<h2>Answer:</h2><h2 /><h2>The unit rate is 75/1.</h2><h2 /><h2>Step-by-step explanation:</h2><h2 /><h2>To figure out this problem you have to divide. </h2><h2>375 divided by 5 is equal to 75. </h2><h2 /><h2>Therefore the unit rate is 75/1.</h2><h2 /><h2>Hope this helps and have a great day!!!</h2><h2 /><h2>:)</h2>

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3 years ago

$7230 for 3.25% in 12 years

IceJOKER [234]

$2,819.70 is the answer

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3 years ago

X5+12x3-5x÷2x6+4x3+x2-2

TEA [102]

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3 years ago

The length of a rectangle is 3 inches more than the width. The area is 10 square inches. Find the dimensions

mr_godi [17]

Answer:

Width = 2

Length = 5

Step-by-step explanation:

let A be the area of the rectangle

L be the length of the rectangle

w be the width of the rectangle

<u><em>Formula</em></u>: ‘<u><em>area of a rectangle</em></u>’

A = L × w

…………………………………………………

A = L × w

⇔ 10 = (w + 3) × w

⇔ 10 = w² + 3w

⇔ w² + 3w - 10 = 0

<u><em>Solving the quadratic equation</em></u> w² + 3w - 10 = 0 :

Δ = 3² - 4(1)(-10) = 9 - (-40) = 9 + 40 = 49

then √Δ = 7

$\Longrightarrow w=\frac{-b+\sqrt{\Delta } }{2a} =\frac{-3+7}{2} =2$

$or\ w=\frac{-b-\sqrt{\Delta } }{2a} =\frac{-3-7}{2} =-5$

-5 is not valid ,because w represents the width

which must be a positive number

Then w = 2

<u><em>Conclusion</em></u>:

Width = 2

Length = 2 + 3 = 5

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2 years ago