Select the correct answer.
Which complex number is equivalent to this expression?
1/3(6 + 3i) – 2/3(6 - 12i)
OA. 6- 7i
B. 6 + 9i
C. -2 + 9i
D.
-2 - 7i

Answer:

A. $4

4/20 or 1/5

Step-by-step explanation:

Answer:

3x - 4y

Step-by-step explanation:

2x + -5y + x + y

Group Like terms:

2x + x + -5y + y

2x + x = 3x

-5y + y = -4y

3x - 4y

Answer:

the answer is D

Step-by-step explanation:

Answer:

Your answer would be D

Step-by-step explanation:

:)

Answer:

A, B, D

Step-by-step explanation:

A) y squared times y squared you just add the exponents

B) y^6/y^2 write it out as (y)(y)(y)(y)(y)(y)/(y)(y) then u cancel out two "y" from numerator and denominator and is left with y^4

C) is just 0 so its wrong

D) is the same process as B just cancel out 5 "y" from numerator and denominator and is left with y^4

E) is incorrect bc you need to add the exponents and you will get y^5 which is not equal to y^4 so yeah its wrong

Answer:

$10.2925, Rounded up: 10.30

Step-by-step explanation:

First, you find what 15% is in a decimal. so you do 15 x 100 to get 0.15

Then you multiply that by 8.95 to get 1.3425

Finally, you add up the numbers and get 10.30 as a rounded answer :D

Answer:

dfgv nm./

Step-by-step explanation:

Answer:

39.6

Step-by-step explanation:

Answer:

39.6

Step-by-step explanation:

If you need an explanation i can edit the answer and give you one.

Step-by-step explanation:

3 - 2sinθ = 5

2sinθ = -2

sinθ = -1

Therefore θ = 3π/4.

Answer:

We conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Step-by-step explanation:

Given the expression

[tex]f\left(x\right)=4^x[/tex]

Determining the domain:

The domain of a function is the set of input values for which the function is real and defined.

It is clear that the given function has no undefined points nor domain constraints.

Therefore, the domain is: -∞ < x < ∞

Thus,

[tex]\mathrm{Domain\:of\:}\:4^x\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

The range is the set of values of the dependent variable for which a function is defined.

We know that the range of an exponential function of the form

[tex]c\cdot \:n^{ax+b}+k\:\mathrm{is}\:\:f\left(x\right)>k[/tex]

[tex]k=0[/tex]

In other words, the range is all positive real numbers.

Thus,

[tex]\mathrm{Range\:of\:}4^x:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)>0\:\\ \:\mathrm{Interval\:Notation:}&\:\left(0,\:\infty \:\right)\end{bmatrix}[/tex]

Therefore, we conclude that the range of the function is 'all positive real numbers'.

Thus, option (A) is true.

Answer:

This system has no solution in the set of real numbers.

Answer:

No solution

Step-by-step explanation:

The equations given are ;

y=-2x² - 4x-1

y = 3x+10

Using a graphing tool, the graphs of the equations are as shown in the attached.

From the graph, a solution occurs where the two graphs intersect. However, in this case, the graphs do not intersect hence there is no solution.

Answer:

  17 years

Step-by-step explanation:

The formula for the value of an account earning compound interest can be used to find the number of years. That formula is ...

  A = P(1 +r/n)^(nt)

where P is the principal invested at annual rate r compounded n times per year for t years.

__

Solving for t, we find ...

  A/P = (1 +r/n)^(nt) . . . . . . divide by P

  log(A/P) = nt·log(1 +r/n) . . . . take logarithms

  t = log(A/P)/(n·log(1 +r/n)) . . . . . divide by the coefficient of t

For the given values, the time required is ...

  t = log(1740/670)/(365·log(1 +0.055/365)) ≈ 17.353

It would take about 17 years for the account value to reach $1740.

_____

Additional comment

The time-value-of-money (TVM) apps of your calculator or spreadsheet can be used to find the time period of interest. Here, setting P/Y = 1 gives N in years.

Answer:

x=2

Step-by-step explanation:

Hope this helps!

Answer:

simplifying x = 2  

Step-by-step explanation:

reordering the terms then solving + 5x =26

add -16 to each side of the equation

16 = -16 + 5x = 26+ -16

Answer:

translation to what language?

Step-by-step explanation:

9514 1404 393

Explanation:

The preimage is the original triangle, the figure before any transformation is done to it.

The image is the result of applying a transformation to the preimage.

__

When the transformation is translation, the image is congruent to the preimage, but is located in a different place. It is not rotated or reflected if the only transform is translation.

Answer:

24x

Step-by-step explanation:

15

Step-by-step explanation:

4t + 2u²- u³

4×2=8

2×1=2²=8

1³=1

8+8-1

16-1=15

Answer: 3 x 7^4

Because there's one 3 & four 7's .

Step-by-step explanation:

Answer:

A. y=1/2x-4

Step-by-step explanation:

maths

Answer:

That means you finished.

Step-by-step explanation:

Answer:

2t+b=8.00

e+t+b=8.50

2e+2t=10.00

Step-by-step explanation:

Answer:

-4 + 32i

Step-by-step explanation:

use the distributive property to multiply

remember: i^2 = 1

(4 - 6i)(-4 + 2i)

-16 + 8i + 24i - 12i^2

-16 + 32i - 12(- 1)

-16 + 32i +12

-4 + 32i

Answer:

4 - (6 * i)) * ((-4) + (2 * i)) =

-4 + 32 i

Step-by-step explanation:

Answer:

The area of the quadillateral is 360 degree.

Step-by-step explanation:

Hope this helped!

Have an amazing day!

Answer:

20%

Step-by-step explanation:

150-120 is 30

30 is 1/5 of 150

1/5 is .2, which is 20%

Hope that helps~

Answer:

Psychology textbooks = 98 and physics textbooks = 294

Step-by-step explanation:

Let there are x psychology textbooks sold.

No of physics textbooks sold = 3x

ATQ,

A textbook store sold a combined total of 392 physics and psychology textbooks in a week.

x + 3x = 392

4x = 392

x = 98

It means there are 98 psychology textbooks sold and 3x = 3(98) = 294 physics textbooks sold.

Answer:

Step-by-step explanation:

23

Answer:

4b-5=71

19 books

Step-by-step explanation:

b represents books, and 4 is the cost, so the cost (4•19) minus the discount (-5) equals 71 and solves the equation

Answer:

4 bags

Step-by-step explanation:

Since there were five in total, and each got 4/5 evenly, it's just basic adding while subtracting the amount from the other bags.

So to get 5/5, which is a full bag, you take portions out of the others to create a full one. Write out 4/5, five times, and then subtract the needed portions from a separate bag to combine a full one.

Answer:

[tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } } =tanA[/tex]

Step-by-step explanation:

Step(I):-

Given

    [tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]    

By using  sin²x+cos²x =1

now

  =  [tex]\frac{cosA-(1+sin2A)^{\frac{1}{2} } }{sinA-(1+sin2A)^{\frac{1}{2} } }[/tex]

=    [tex]\frac{cosA-(sin^{2} +cos^{2}x +2sinAcosA)^{\frac{1}{2} } }{sinA-(sin^{2}x+cos^{2} x +s2sinAcosA){\frac{1}{2} } }[/tex]  

= [tex]\frac{cosA-(sinx +cosx)^{2} )^{\frac{1}{2} } }{sinA-(sinx+cos x)^2){\frac{1}{2} } }[/tex]

After simplification , we get

= [tex]\frac{cosA-(sinA+cosA)}{sinA-(sinA+cosA)}[/tex]

= [tex]\frac{-sinA}{-cosA}[/tex]

= tanA