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nasty-shy [4]
3 years ago
9

Which expression shows the resuit of applying the distributive property to 12(5y+4)

Mathematics
2 answers:
Alex Ar [27]3 years ago
6 0

Answer:

60y+48

Step-by-step explanation:

Multiply both terms inside the parentheses by 12

oee [108]3 years ago
5 0
12(5)
12(4)
Multiply each # to 12.
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F(-12) if f(x) = 2x + 15
Alenkinab [10]

Answer: f(-12)=-9

Step-by-step explanation:

We have the following function:

f(x)=2x+15

And we have to evaluate it when x=-12, this means we have to substitute x by -12:

f(-12)=2(-12)+15

Solving:

f(-12)=-24+15

Finally:

f(-12)=-9

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3 years ago
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PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an
sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18   where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2  + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square  for minimum  total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

3 0
3 years ago
Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations.
Nostrana [21]
x^3-27i=0
x^3=27i
x^3=27e^{i\pi/2}
x=\left(27e^{i\pi/2}\right)^{1/3}
x=3e^{i(\pi/2+2\pi k)/3}
x=3e^{i\pi(4k+1)/6}

where k\in\{0,1,2\}. This means you have

x=3e^{i\pi/6}=\dfrac32(\sqrt3+i)
x=3e^{i5\pi/6}=\dfrac32(-\sqrt3+i)
x=3e^{i9\pi/6}=-3i

as the solutions to the original equation.
4 0
3 years ago
Nicola buys a bouquet of 8 sunflowers for $18 What is the cost of 1 sunflower?
Sever21 [200]

Answer:

$2.25

Step-by-step explanation:

Divide the cost ($18) by the amount of flowers (8.)


7 0
3 years ago
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