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3 years ago

GIVING BRAINLIEST PLS HELP

Mathematics

1 answer:

AveGali [126]3 years ago

5 0

Answer:

f(x) = x

Step-by-step explanation:

note : slope is positive 1, so the x term must be positive

also note the graph intersects the curve at y = 0, which means that they y-intercept is zero .

if we substitute this into the general equation for a line

y = mx + b, where m = +1 and b = 0,

we get y = x

or f(x) = x (in function form)

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The height of the water in an above ground pool is 3

Firdavs [7]

<em>It will take 6 minutes to drain the pool.</em>

<h2>Explanation:</h2>

As the problem states the height of the water in an above ground pool is 3ft. In other word:

3 ft is our starting point.

The pool needs to be drained at a Rate of Change of 1/2 inches per minutes. In other words:

The rate of change is constant, so we'll have a line with slope -1/2.

Therefore, we can write an equation as:

$h=3-\frac{1}{2}t \\ \\ \\ h:Height \\ \\ t:time \\ \\ \\ The \ slope \ is \ negative \ because \ the \ pool \ needs \ to \ be \ drained$

To drain the pool implies that we don't have any water in the pool, in other words this is true if and only if:

$h=0$

So:

$h=3-\frac{1}{2}t \\ \\0=3-\frac{1}{2}t \\ \\ \\ Solving \ for \ t: \\ \\ \frac{1}{2}t=3 \\ \\ t=6$

So, <em>it will take 6 minutes to drain the pool.</em>

<h2>Learn more:</h2>

Average Rate of Change: brainly.com/question/14196399#

#LearnWithBrainly

8 0

4 years ago

Read 2 more answers

A particle starts at the point P=(−5,−1,3) when t=0 and moves along a straight line toward Q=(−6,−6,8) at a speed of 9 cm/sec. L

navik [9.2K]

Answer:

Step-by-step explanation:

Given

Particle moves from $P\ (-5,-1,3)\ to\ Q\ (-6,-6,8)$

speed of particle is $v=9\ cm/s$

Unit vector in the direction of vector $\vec{PQ}$ is given by

$\hat{n}=\frac{\vec{Q}-\vec{P}}{|\vec{Q}-\vec{P}|}$

$\hat{n}=\frac{-}{\sqrt{(-1)^2+(-5)^2+(5)^2}}$

$\hat{n}=\frac{}{\sqrt{1+25+25}}$

Now Position of Particle at any time is given by

$\vec{r(t)}=velocity\cdot time\cdot direction$

$\vec{r(t)}=9\cdot t\cdot \frac{}{\sqrt{1+25+25}}$

Parametric vector equation is given by

$x=\frac{-9t}{\sqrt{51}}$

$y=\frac{-45t}{\sqrt{51}}$

$z=\frac{45t}{\sqrt{51}}$

6 0

4 years ago

What is the solution for the following equation 3(2x+3)=2(3x+4)?

ki77a [65]

Answer:

<h2><u><em>no solution, the equation is false</em></u></h2>

Step-by-step explanation:

what is the solution for the following equation 3(2x+3)=2(3x+4)?

3 * (2x + 3) = 2 * (3x + 4)

6x + 9 = 6x + 8

6x - 6x = -9 + 8

0 = ±1

the equation is false

7 0

2 years ago

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PLEASE HELP ASAP!!

agasfer [191]

<em>answer:</em>

a) the number of data points

c) the most common category

<em>explanation:</em>

Options a and c are the information you can get from the bar graph. Although, I think d could also be a possible answer.

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3 years ago

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18.96 x 2.03 correct to 2 significant figures equals what?

Andreas93 [3]

9514 1404 393

Answer:

Step-by-step explanation:

The product of the given numbers is 38.4888. Rounding this to two significant digits gets you 38.

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3 years ago