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3 years ago

When is a relation also a function

1 answer:

7 0

Determining whether a relation is a function involves making sure that for every input there is only one output. In order for a relation to be called a function, each X value must have exactly one Y value. X has to have exactly one Y value.

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A taxi service charges a flat fee of $1.25 and $0.75 per mile. If Henri has $14.00, which of the following shows the number of m

maks197457 [2]

1.25 + 0.75x = 14
Solving for x gives the answer of 17. Thus, Henri can afford to travel 17 miles.

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3 years ago

Can someone please help me!!!

zalisa [80]

Number 12. Is -4ySquared+5y-9

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3 years ago

In the state of Indiana, 192,031 people claim not to speak English very well. If this is 3.2% of the population of Indiana resid

Butoxors [25]

Answer:

6,000,969

Step-by-step explanation:

Given that:

In the state of Indiana, 192,031 people claim not to speak English very well

Which is actually representing 3.2% of the population of Indiana residents aged 5 years and older

Let represent V with the total population of Indiana residents who are aged 5 years and older.

Then:

3.2% of V = 192,031

0.032 V = 192,031

V = $\frac{192,031}{0.032}$

V = 6,000, 968.75

V = 6,000,969 ( to the nearest person)

We can thereby conclude that, the population of Indiana residents aged 5 years and older = 6,000,969.

4 0

3 years ago

Hey can someone give me the answer to the problem

sladkih [1.3K]

a. The rocket splashes down after 63.94 seconds.

b. The rocket peaks at 7386.68 m

<h3>a. How to find when the rocket splashes down?</h3>

Since the height of the rocket is h(t) = -4.9t² + 370t + 402, the rocket splashes down when h(t) = 0.

So, h(t) = 0

-4.9t² + 370t + 402 = 0

Using the quadratic formula, we find t.

$t = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}$

where a = -4.9, b = 370 and c = 402

So, $t = \frac{-b +/- \sqrt{b^{2} - 4ac} }{2a}\\= \frac{-307 +/- \sqrt{(307)^{2} - 4(-4.9)(402)} }{2(-4.9)}\\= \frac{-307 +/- \sqrt{94249 + 7879.2} }{-9.8)}\\= \frac{-307 +/- \sqrt{102128.2} }{-9.8)}\\= \frac{-307 +/- 319.58}{-9.8)}\\= \frac{-307 + 319.58}{-9.8)} or \frac{-307 - 319.58}{-9.8)}\\= \frac{12.58}{-9.8)} or \frac{-626.58}{-9.8}\\= -1.28 or 63.94$

Since t cannot be negative t = 63.94 s

So, the rocket splashes down after 63.94 seconds.

<h3>b. How to find the peak of the rocket?</h3>

Since h(t) = -4.9t² + 370t + 402, to find the time the rocket reaches it peak, we differentiate h(t) with respect to t and equate to zero.

Soi, dh(t)/dt = d(-4.9t² + 370t + 402)/dt

= -9.8t + 370

dh(t)/dt = 0

-9.8t + 370 = 0

-9.8t = -370

t = -370/-9.8

t = 37.76 s

Substitung t = 37.76 into h(t), we have

h(t) = -4.9t² + 370t + 402

h(37.76) = -4.9(37.76)² + 370(37.76) + 402

h(37.76) = -4.9(1425.82) + 370(37.76) + 402

h(37.76) = -6986.518 + 13971.2 + 402

h(37.76) = 7386.682 m

h(37.76) ≅ 7386.68 m

So, the rocket peaks at 7386.68 m

Learn more about height of a rocket here:

brainly.com/question/25865512

#SPJ1

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2 years ago

A swimming pool is being drained with a pump. The pump drains the pool at a constant rate, The pool's water level drops 3 inches

kramer

Water level change =
1/2 an inch per hour

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3 years ago

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