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3 years ago

Multiply n by m, then divide 3 by the result

Mathematics

1 answer:

ikadub [295]3 years ago

4 0

$\large\begin{array}{I} \texttt{Multiply n by m, then divide by 3},~ \boxed{\mathtt{\dfrac{nm}{3}}} \end{array}$

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state the domain, the range, and the intervals on which function is increasing, decreasing, or constant in interval notation

erma4kov [3.2K]

Answer:

domain (-∞, ∞)
range (-∞, 4]
increasing (-∞, 0)
decreasing (0, ∞)
constant (only at x=0, not on any interval)

Step-by-step explanation:

The graph is of the equation y = -x^2 +4. It is a polynomial of even degree, so has a domain of all real numbers: (-∞, ∞).

The vertical extent of the graph includes y=4 and all numbers less than that:

range: (-∞, 4]

The graph is increasing to the left of its vertex at x=0, decreasing to the right.

increasing (-∞, 0); decreasing (0, ∞)

There is no interval on which the function is constant. It has a horizontal tangent at x=0, but a single point does not constitute an interval.

8 0

3 years ago

Can some please answer this

Sonbull [250]

9514 1404 393

Answer:

B (2 violet)

Step-by-step explanation:

Let the colors be represented by their first letter. Then the balances give rise to two equation:

o +y +b +v = r +g +b

o +y +v = g +v

Subtracting the second equation from the first gives ...

(o +y +b +v) -(o +y +v) = (r +g +b) -(g +v)

b = r +b -v

Adding v-b to both sides, we have ...

b +(v -b) = r +b -v +(v -b)

v = r

Multiplying this result by 2, we can match the final balance:

2r = 2v . . . . . . . choice B

7 0

2 years ago

Read 2 more answers

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream. What is the rate of

nikitadnepr [17]

<h3>Rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr</h3><h3><u>Solution:</u></h3>

Given that,

A motorboat travels 165 kilometers in 3 hours going upstream and 510 kilometers in 6 hours going downstream

Therefore,

Upstream distance = 165 km

Upstream time = 3 hours

<h3><u>Find upstream speed:</u></h3>

$speed = \frac{distance}{time}\\\\speed = \frac{165}{3}\\\\speed = 55$

Thus upstream speed is 55 km per hour

Downstream distance = 510 km

Downstream time = 6 hours

<h3><u>Find downstream speed:</u></h3>

$speed = \frac{510}{6}\\\\speed = 85$

Thus downstream speed is 85 km per hour

<em><u>If the speed of a boat in still water is u km/hr and the speed of the stream is v km/hr, then</u></em>

Speed downstream = u + v km/hr

Speed upstream = u - v km/hr

Therefore,

u + v = 85 ----- eqn 1

u - v = 55 ----- eqn 2

Solve both

Add them

u + v + u - v = 85 + 55

2u = 140

u = 70

<em><u>Substitute u = 70 in eqn 1</u></em>

70 + v = 85

v = 85 - 70

v = 15

Thus rate of the boat in still water is 70 km/hr and rate of the current is 15 km/hr

3 0

3 years ago

Which is greater <br> 7/12 <br> 10/12

shtirl [24]

10/12 is more than 7/12

3 0

3 years ago

Read 2 more answers

jester has a piece of wood measuring 1 and 2/3 m.he needs to cut in pieces measuring 3/4 m long.how many pieces of wood did jest

sveticcg [70]

Answer:

2 pieces

Step-by-step explanation:

Given

$Length = 1\frac{2}{3}m$

$Pieces = \frac{3}{4}m$

Required

Calculate the number of pieces

To do this, we have to divide the length of the wood by the length of each piece.

Represent this with x

$x= \frac{Length}{Pieces}$

$x= 1\frac{2}{3}/\frac{3}{4}$

Convert mixed numbers to improper fraction

$x= \frac{5}{3}/\frac{3}{4}$

Change division to multiplication

$x= \frac{5}{3}*\frac{4}{3}$

$x= \frac{20}{9}$

$x = 2.22$

6 0

3 years ago