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3 years ago

Use the distributive property to expand

Mathematics

2 answers:

Lera25 [3.4K]3 years ago

6 0

Answer:

(D) 8/5 - 12x

Step-by-step explanation:

-4*(-2/5 + 3x) =
-4*(-2/5) - 4*(3x) =
8/5 - 12x

Correct choice is D

Kruka [31]3 years ago

4 0

Answer:

D. 8/5-12x

Step-by-step explanation:

-4(-2/5+3x)
(-4 × -2/5) + (-4 × 3x)
( 8/5 )+ (-12x)
8/5 - 12x

Option D is the correct answer.

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Can you answer these please? Show all work

Ganezh [65]

Answer:

i) Sally' s grocery bill = c - $\frac{5}{100}$ c = 0.95c

Therefore the correct option is B.)

ii) Therefore the expression which represents the expected population

next year is given by :

= p + $\dfrac{7.5}{100}$ p = 1.075p

Therefore the correct option is B.)

Step-by-step explanation:

Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%.

Let c represent the cost of Sally's groceries.

therefore the expression which represents Sally's grocery bill is given by :

Sally' s grocery bill = c - $\frac{5}{100}$ c = 0.95c

Therefore the correct option is B.)

The population of a city is expected to increase by 7.5% next year If p represents the current population, which expression represents the expected population next year?

Let p = current population of a city.

Therefore the expression which represents the expected population next year is given by :

= p + $\dfrac{7.5}{100}$ p = 1.075p

Therefore the correct option is B.)

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3 years ago

Is (cosx)/x a even,odd or neither function? Why?

Allisa [31]

F(x)=cos(x)⋅sin(x) is an odd function

8 0

3 years ago

Help pls 25 points don’t answer if you do not know

-Dominant- [34]

Answer:

i believe it’s graph A

Step-by-step explanation:

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3 years ago

Read 2 more answers

Jeffs dog weighs 76 pounds. what is the doofs weight rounded to the nearest tens pounds?

Phoenix [80]

I think the answer is 80 pounds

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3 years ago

Express the fifth roots of unity in standard form a + bi. with 1 + 0i

marishachu [46]

Answer:

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

Step-by-step explanation:

Fifth Root is given by:

$\sqrt[5]{z}=1+0i$

The above equation will become:

$z=(1+0i)^5$

It can be written as:

$z=[cos(0)+isin(0)]^5$

|z|=1,

According to De-moivre's Theorem:

$z=cos(\frac{0}{5})+isin(\frac{0}{5})\\ z=cos(0)+isin(0)$

Now, Fifth Roots of unity in standard form a + bi :

$\sqrt[5]{z}=[{cos(0+2\pi k)+isin(0+2\pi k)}]^{1/5}$

k=0,1,2,3,4

For K=0

$cos(\frac{0+2\pi 0}{5})+isin(\frac{0+2\pi 0}{5})\\cos(0)+isin(0)=1+i0$

For K=1:

$cos(\frac{0+2\pi 1}{5})+isin(\frac{0+2\pi 1}{5})\\cos(2\pi/5)+isin(2\pi/5)=0.3090+i0.9510$

For K=2:

$cos(\frac{0+2\pi 2}{5} )+isin(\frac{0+2\pi 2}{5} )\\cos(4\pi/5)+isin(4\pi/5)=-0.809+i0.587$

For K=3:

$cos(\frac{0+2\pi 3}{5} )+isin(\frac{0+2\pi 3}{5} )\\cos(6\pi/5)+isin(6\pi/5)=-0.809-i0.587$

For K=4:

$cos(\frac{0+2\pi 4}{5} )+isin(\frac{0+2\pi 4}{5} )\\cos(8\pi/5)+isin(8\pi/5)=0.3091-i0.9510$

6 0

3 years ago