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3 years ago

Which best describes the intersection of two lines.

Mathematics

2 answers:

Snezhnost [94]3 years ago

7 0

I believe it is a point or an angle...

Serga [27]3 years ago

5 0

Answer:

A Point

Step-by-step explanation:

When two line meet they create a point. almost think of it as two roads intersecting with each other

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if a population is increasing at a constant rate of 2.4% per year, by what percent will it increase in 10 years

mr_godi [17]

The doubling time is the period of time required for a quantity to double in size or value. It is applied to population growth, inflation, resource extraction, consumption of goods, compound interest, the volume of malignant tumours, and many other things that tend to grow over time.

6 0

3 years ago

How to integrate with steps: (4x2-6)/(x+5)(x-2)(3x-1)

joja [24]

$\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx$

You have a rational expression whose numerator's degree is smaller than the denominator's. This tells you you should consider a partial fraction decomposition. We want to rewrite the integrand in the form

$\dfrac{4x^2-6}{(x+5)(x-2)(3x-1)}=\dfrac a{x+5}+\dfrac b{x-2}+\dfrac c{3x-1}$

$\implies4x^2-6=a(x-2)(3x-1)+b(x+5)(3x-1)+c(x+5)(x-2)$

You can use the "cover-up" method here to easily solve for $a,b,c$ . It involves fixing a value of $x$ to make 2 of the 3 terms on the right side disappear and leaving a simple algebraic equation to solve for the remaining one.

If $x=-5$ , then $94=112a\implies a=\dfrac{47}{56}$
If $x=2$ , then $10=35b\implies b=\dfrac27$
If $x=\dfrac13$ , then $-\dfrac{50}9=-\dfrac{80}9c\implies c=\dfrac58$

So the integral we want to compute is the same as

$\displaystyle\frac{47}{56}\int\frac{\mathrm dx}{x+5}+\frac{10}{35}\int\frac{\mathrm dx}{x-2}+\frac58\int\frac{\mathrm dx}{3x-1}$

and each integral here is trivial. We end up with

$\displaystyle\int\frac{4x^2-6}{(x+5)(x-2)(3x-1)}\,\mathrm dx=\frac{47}{56}\ln|x+5|+\frac27\ln|x-2|+\frac5{24}\ln|3x-1|+C$

which can be condensed as

$\ln\left|(x+5)^{47/56}(x-2)^{2/7}(3x-1)^{5/24}\right|+C$

7 0

3 years ago

Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest

Blababa [14]

Answer:

1/6

Step-by-step explanation:

There are 4 different types of clothing

We want socks

P(socks) = 1/4

Now we have 3 different colors, 2 of which are not blue

P(not blue) =2/3

P(socks that are not blue) = 1/4*2/3 = 2/12 = 1/6

6 0

3 years ago

Read 2 more answers

Heeelp . Can someone please answer this to meee ? .

lilavasa [31]

Answer:

If f(x)=g(x), the solution is x=-2

Step-by-step explanation:

We are given:

$f(x)=3x+3\\g(x)= (-1/2)x-4$

We need to find the solution if f(x)=g(x)

Now solving for f(x)=g(x)

$f(x)=g(x)\\3x+3=(-\frac{1}{2}x)-4\\3x+3=-\frac{1}{2}x-4\\3x+\frac{1}{2}x=-4-3\\\frac{3x*2+x}{2}=-7\\\frac{6x+x}{2}=-7\\\frac{7x}{2}=-7\\x=-7*\frac{2}{7}\\x=-2$