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3 years ago

Please please please help me!

Mathematics

2 answers:

In-s [12.5K]3 years ago

6 0

Answer:

The correct option is 3.

Step-by-step explanation:

It is given that the quantities of blue and green paints used for each mix and connected them using a line segment, as shown in the graph below:

The line have two end points A(1,2) and B(9,14).

Domain is the set of inputs. In a graph all the values of x for which the graph is defined, are domain of the function.

The line is defined from x=1 to x=9. So, the domain of the function lies between 1 to 9 (inclusive).

$1\leq x\leq 9$

Therefore, option 3 is correct.

DiKsa [7]3 years ago

4 0

The answer is the 3rd one

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Find the fifth roots of 243(cos 240° + i sin 240°).

Mazyrski [523]

Answer:

See below.

Step-by-step explanation:

Fifth root of 243 = 3,

Suppose r( cos Ф + i sinФ) is the fifth root of 243(cos 240 + i sin 240),

then r^5( cos Ф + i sin Ф )^5 = 243(cos 240 + i sin 240).

Equating equal parts and using de Moivre's theorem:

r^5 =243 and cos 5Ф + i sin 5Ф = cos 240 + i sin 240

r = 3 and 5Ф = 240 +360p so Ф = 48 + 72p

So Ф = 48, 120, 192, 264, 336 for 48 ≤ Ф < 360

So there are 5 distinct solutions given by:

3(cos 48 + i sin 48),

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3 years ago

The value of the surface area of the cylinder is equal to the value of the volume of the cylinder. Find the value of x.

zlopas [31]

Answer:

$x = 2.5$

Step-by-step explanation:

Surface area of cylinder = 2πr(h + r)

Volume of cylinder = πr²h

Given that S.A = Volume of the cylinder, therefore, we have:

2πr(h + r) = πr²h

Radius (r) is given as 2.5 cm

height (h) = x cm

Input the values and solve for x

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2πr(h + r) = πr(rh)

2(h + r) = rh (πr cancels πr)

$2(x + 2.5) = 2.5*x$

$2x + 5 = 2.5x$

Subtract 2x from both sides

$2x + 5 - 2x = 2.5x - 2x$

$5 = 0.5x$

Divide both sides by 0.5

$\frac{5}{0.5} = \frac{0.5x}{0.5}$

$2.5 = x$

$x = 2.5$

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3 years ago

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3 years ago

In which graph do all of thw indicated points have x-coordinates that satisfy x <-3

Helga [31]

You would have to choose a graph with all x coordinates equaling less than negative 3

your answer would have to be to have all x coordinates to the left of -3 on the x axis

your answer is A :)

5 0

3 years ago

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Solution for -4 5/6 +5 1/3

sammy [17]

Answer:

1/2

Step-by-step explanation:

to solve this equation you must find the greatest common factor or gcf to make the denominators the same

that happens to be 6

-4 5/6 + 5 2/6

then you add

you can break them up at add them like this

(-4 + 5) + (-5/6 + 2/6)

1 + -3/6

-3/6 is also -1/2

1 + -1/2

1/2

that is your answer

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2 years ago

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