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3 years ago

Which of the following represents a function?

Mathematics

1 answer:

Karolina [17]3 years ago

6 0

Answer:

Step-by-step explanation:

Because you put the numbers over it and that makes a fraction. Easy:))

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-5 (p+2)=2 (2p-15)+p

Bess [88]

$-5 (p+2)=2 (2p-15)+p$

$-5p-10=4p-30+p

$ $\text{Expand}$

$-5p-10=5p-30
$

$-10=5p-30+5p
$ $\text{Add 5p to both sides}$

$-10=10p-30

$

$-10+30=10p
$ $\text{Add 30 to both sides}$

$20=10p
$

$\dfrac{20}{10}=p$ $\text{Divide both sides by 10}$

$p=2$ $\text{Solution}$

6 0

3 years ago

In the set of real numbers, the first number less than -3 is -4. TrueFalse

hodyreva [135]

True because first is 0, -1, -2, -3, and then it is -4 I hope this helps please mark me as brainliest.

3 0

3 years ago

A lighthouse is located on a small island 2 km away from the nearest point P on a straight shoreline and its light makes four re

ddd [48]

Answer:

62.8 km per min

Step-by-step explanation:

Let the diagram of this situation is shown below,

In which $\theta$ is the angle made by light to the straight line joining the lighthouse and P,

∵ Light makes 4 revolutions per minute.

Also, 1 revolution = $2\pi$ radians

So, the change in angle with respect to t ( time ),

$\frac{d\theta}{dt}=8\pi\text{ radians per min}$

Let x be the distance of beam from P,

$\implies \tan \theta = \frac{x}{2}$

Differentiating with respect to x,

$\sec^2 \theta \frac{d\theta}{dt}=\frac{1}{2}\frac{dx}{dt}$

$(1+\tan^2 \theta) (8\pi) = \frac{1}{2}\frac{dx}{dt}$

$(1+\frac{x^2}{2^2})(8\pi) = \frac{1}{2}\frac{dx}{dt}$

If x = 1 km,

$(1+\frac{1}{4})8\pi =\frac{1}{2}\frac{dx}{dt}$

$\frac{5}{4}8\pi = \frac{1}{2}\frac{dx}{dt}$

$\implies \frac{dx}{dt}=\frac{80\pi}{4}= 20\pi\approx 62.8\text{ km per min}$

Hence, the beam of light moving along the shoreline with the speed of 62.8 km per min

7 0

4 years ago

What does it mean by "completing the square" and how do u do it?

faust18 [17]

Completing the square goes back to pythagorean thm
but the way u do it, u want to find a value that enable u to take sqrt of both sides and solve
x^2-8x+3=0
x^2-8x=-3
we need (x-4)^2 so add 16
(x-4)^2=-3+16
(x-4)^2=13
x-4=sqrt13
x=4(+/-)sqrt13

4 0

4 years ago

Simplify: b3·b−5·b11 A) b9 B) b15 C) b19 D) b-165

elena-14-01-66 [18.8K]

The answer should be C
(Hope this helps) :)

7 0

4 years ago