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3 years ago

Factor completely 9-25x^2=

Mathematics

2 answers:

MArishka [77]3 years ago

8 0

9-25x^2= (3 - 5x)(3 + 5x)

---------------------------

8090 [49]3 years ago

3 0

25x^2-9=(5x+3)(5x-3)
(5x+3)(5x-3)
=-(5x+3)(5x-3)

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What is happening to this graph when the x-values are between 4 and 8?

Vilka [71]

Answer:

The correct answer is A. It is constant.

Step-by-step explanation:

When the x-values are between 4 and 8, this graph is constant. This can be seen because the graph is a horizontal line, meaning it has zero slope. Since the slope is zero, it is neither increasing nor decreasing, and is known as constant.

Hope this helps!

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3 years ago

A ferry departs from a port along the Sands River at 10:00 am. The ferry travels at a speed of 15 mph in still water and returns

jek_recluse [69]

Answer:

Speed of river's current = 5 mph

Step-by-step explanation:

Let 'd' be the distance covered

Let x be the speed of the rivers current

Speed upstream = 15-x

speed downstream = 15+x

Time = distance / speed

time upstream = $\frac{d}{15-x}$

time downstream = $\frac{d}{15+x}$

the ferry trip upstream takes twice as long as its return trip downstream

$\frac{d}{15-x}$ = $\frac{2d}{15+x}$

divide both sides by d

$\frac{1}{15-x}$ = $\frac{2}{15+x}$

cross multiply

$15+x= 2(15-x)$

$15+x= 30-2x$

Add 2x on both sideds

$15+3x= 30$

subtract 15 from both sides and divide by 3

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Speed of river's current = 5 mph

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3 years ago

9. What's the least common multiple (LCM) of 2, 6, and 8?

algol [13]

Answer:

Step-by-step explanation:

The LCM or least common multiple of these numbers is 24

To get 24, you list all the multiple of these numbers until they all share at least one

2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24

6, 12, 18, 24

8, 16, 24

They all share 24 so this is the LCM

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-GoldenWolfX

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3 years ago

If two sets are negatively correlated, as the values in one of the sets increase, the values in the other set tend to

Oksana_A [137]

If the first set began to increase, than the other set tends to decrease.

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3 years ago

Read 2 more answers

Describe how to transform:

Anna71 [15]

Answer:

$x^\frac{35}{6}$

Step-by-step explanation:

The expression to transform is:

$(\sqrt[6]{x^5})^7$

Let's work first on the inside of the parenthesis.

Recall that the n-root of an expression can be written as a fractional exponent of the expression as follows:

$\sqrt[n]{a} = a^{\frac{1}{n}}$

Therefore $\sqrt[6]{a} = a^{\frac{1}{6}}$

Now let's replace $a$ with $x^{5}$ which is the algebraic form we are given inside the 6th root:

$\sqrt[6]{x^5} = (x^5)^{\frac{1}{6}}$

Now use the property that tells us how to proceed when we have "exponent of an exponent":

$(a^n)^m= a^{n*m}$

Therefore we get: $(x^5)^{\frac{1}{6}}=x^{\frac{5}{6}}}$

Finally remember that this expression was raised to the power 7, therefore:

$[tex](\sqrt[6]{x^5})^7=(x^\frac{5}{6})^7=x^\frac{35}{6}$ [/tex]

An use again the property for the exponent of a exponent:

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2 years ago