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3 years ago

Find the greatest common factor of 12 w' and 8w

Mathematics

2 answers:

Anton [14]3 years ago

7 0

Answer:4w

Step-by-step explanation:

To find the greatest common factors of 12w and 8w

Using product of prime factor we get

12w=2×2×3×w

8w=2×2×2×w

Common factors

=2×2×w

=4w

Vanyuwa [196]3 years ago

5 0

Answer:

4w.

Step-by-step explanation:

12w and 4w:

The GCF of 12 and 8 = 4.

So the answer is 4w.

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The points (1, 7) and (0, 2) fall on a particular line. What is its equation in slope-intercept form?

NARA [144]

Slope-intercept form is y = mx + b

So we can manage to do this:

(y - yo) = m.(x - xo)

Where (x, y) and (xo, yo) are points of this line, this way we can discover the slope.

(7 - 2) = m.(1 - 0)

5 = m

m = 5

So,

y = 5x + b

Now we still have to use (y - yo) = m.(x - xo), but this time we will put only 1 point and the slope.

(y - yo) = m.(x - xo)

(y - 2) = 5.(x - 0)

y - 2 = 5x

y = 5x + 2

So, this is the line in slope-intercept form.

4 0

3 years ago

You have just opened a new dance club, Swing Haven, but are unsure of how high to set the cover charge (entrance fee). One week

bonufazy [111]

Answer:

a) The demand function is

$q(p) = -4 p + 107$

b) The nightly revenue is

$R(p) = -4 p^2 + 107 p$

c) The profit function is

$P(p) = -4 p^2 + 133.75 p - 939$

d) The entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

Step-by-step explanation:

a) Lets find the slope s of the demand:

$s = \frac{79-43}{7-16} = \frac{36}{-9} = -4$

Since the demand takes the value 79 in 7, then

$q(p) = -4 (p-7) + 79 = -4 p + 107$

b) The nightly revenue can be found by multiplying q by p

$R(p) = p*q(p) = p*( -4 p + 107) = -4 p^2 + 107 p$

c) The profit function is obtained from substracting the const function C(p) from the revenue function R(p)

$P(p) = R(p) - C(p) = p*q(p) = -4 p^2 + 107 p - (-26.75p + 939) = \\\\-4 p^2 + 133.75 p - 939$

d) Lets find out the zeros and positive interval of P. Since P is a quadratic function with negative main coefficient, then it should have a maximum at the vertex, and between the roots (if any), the function should be positive. Therefore, we just need to find the zeros of P

$r_1, r_2 = \frac{-133.75 \,^+_-\, \sqrt{133.75^2-4*(-4)*(-939)} }{-8} = \frac{-133.75 \,^+_-\, 53.526}{-8} \\r_1 = 10.03\\r_2 = 23.41$

Therefore, the entrance fees that allow Swing Haven to break even are between 10.03 and 23.41 dollars per guest.

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3 years ago

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3 years ago

A cube has a side length of 13 millimeters.What is the surface area of the cube?

wel

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3 years ago

Algebra 1 question : Solve for x : 3 - 5x + 6 = 14x - 32 + 10(2-x)

Zepler [3.9K]

Hi there!

$3 - 5x + 6 = 14x - 32 + 10(2 - x)$
Work out the parenthesis.

$3 - 5x + 6 = 14x - 32 + 20 - 10x$
Combine like terms.

$9 - 5x = 4x - 12$
Subtract 9 from both sides.

$- 5x = 4x - 21$
Subtract 4x from both sides

$- 9x = - 21$
Divide both sides by -9

$x = \frac{ - 21}{ - 9} = \frac{21}{9} = 2 \frac{3}{9} = 2 \frac{1}{3}$

6 0

3 years ago

Read 2 more answers