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3 years ago

Perform the operation. Give the answer in a + bi form. (2 − 2i)(3 + i)

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

$\boxed{8-4i}$

Step-by-step explanation:

We know that $i^2=-1$

$(2-2i)(3+i) = 6 + 2i -6i -2i^2\\$

= -4i+6+2

=8-4i

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A 30 Oz box of Lucky Charms cost $4.50 a 20 oz box cost $3.60 what is the unit price of each box

notka56 [123]

We need to find the unit price of each box.

So, a box that weighs 30 Oz costs $4.50.

lets say that 30 Oz box is named box 1. We can use unitary method to find out the unit price of box 1.

Unitary method is a process to find the value of a single unit.

Now,

30 Oz costs $4.50

therefore, 1 Oz should cost:

$\frac{4.50}{30} =0.15$ dollars

So, the unit price of box 1 is $0.15.

Now, lets say the 20 Oz box is named box 2. Again we can use unitary method to find out the unit price of box 2.

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20 Oz box costs $3.60

therefore, 1 Oz should cost:

$\frac{3.60}{20} =0.18$ dollars

So, the unit price of box 2 is $0.18.

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3 years ago

evan has a cell phone plan that costs $30 per month and $0.25 per minute of phone use let y represent the monthly cost of cell p

aliya0001 [1]

Y = 30 + .25x

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3 years ago

5x+7y=3914. I'm not quite sure how to write the x and y! First answer will get Brainliest, thanks!

Stolb23 [73]

Answer:

hanges made to your input should not affect the solution:

(1): Dot was discarded near "4.".

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

5*x+7*y-(3914)=0

STEP

Equation of a Straight Line

1.1 Solve 5x+7y-3914 = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 5x+7y-3914 = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 3914/7 so this line "cuts" the y axis at y=559.14286

y-intercept = 3914/7 = 559.14286

Calculate the X-Intercept :

When y = 0 the value of x is 3914/5 Our line therefore "cuts" the x axis at x=782.80000

x-intercept = 3914/5 = 782.80000

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 559.143 and for x=2.000, the value of y is 557.714. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 557.714 - 559.143 = -1.429 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

Slope = -1.429/2.000 = -0.714

Geometric figure: Straight Line

Slope = -1.429/2.000 = -0.714

x-intercept = 3914/5 = 782.80000

y-intercept = 3914/7 = 559.14286

Step-by-step explanation:

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Vladimir79 [104]

I'm assuming that the number after the variable is supposed to be the exponent.

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