Simplify (2i-1)(i^2-3i-7)

Answers

Answer 1

Answer: 14-13i

Step-by-step explanation:

Answer 2

Answer:

14 - 13i

Step-by-step explanation:

We MUST do the work inside parentheses before anything else.

Step 1:  evaluate i^2:   (2i-1)(i^2-3i-7) =  (2i-1)(-1 -3i -7)

Step 2:  combine like terms inside the parentheses:  (2i-1)(-8 - 3i)

Step 3:  perform the indicated multiplication of binomials:

             -16i + 6 + 8 + 3i

Step 4:  combine like terms of the above expression:  14 - 13i


Related Questions

Which inference can be made when analyzing the data in the table?

Answers

Answer

Your saviour has come!

The answer is A

Step-by-step explanation:

Which expression is equivalent to 5^{10} · 5^{5}
A. 5^{2}
B. 5^{5}
C. 5^{15}
D. 5^{50}

Answers

Answer:

C should be correct

Step-by-step explanation:

I am not sure if you or anybody else does this another way or maybe the same way, who knows.

Anyways, what I did here was just simply add the powers, and no, not the base, I mean what it is being multiplied by.

When I did this, I got 5^15, but I had to check to make sure, which is what I did

5^10x5^5 is  30517578125

And guess what.

5^15 = 30517578125

So the answer is C, and I hope my explanation helps in a way.

Find the 7th term of the geometric progression which begins -6250, 1250, -250....

Answers

Answer:

a(7) = -0.4

Step-by-step explanation:

The general formula for a geometric progression is a(n) = a(1)*r^(n - 1), where r is the common ratio.  In this problem, a(1) = -6250.  To find r, we divide 1250 (the 2nd term) by -6250 (the 1st term), obtaining r = -0.2.

Then the formula for THIS geometric progression is

a(n) = -6250*(-0.2)^(n - 1).

Thus, the 7th term of THIS progression is

a(7) = -6250*(-0.2)^(7 - 1), or -6250*(-0.2)^6, or -0.4

Answer:

a₇ = - [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

The nth term of a geometric progression is

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = - 6250 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1250}{-6250}[/tex] = - [tex]\frac{1}{5}[/tex] , then

a₇ = - 6250 × [tex](-\frac{1}{5}) ^{6}[/tex] = - 6250 × [tex]\frac{1}{15625}[/tex] = [tex]\frac{-6250}{15625}[/tex] = - [tex]\frac{2}{5}[/tex]

Write an equation of the line in slope-intercept form. (0,2) (3,3) ​

Answers

i dont see an image

Step-by-step explanation:

Answer: y = 1/3x +2

Step-by-step explanation:

The slope-intercept form of an equation looks like this:

y=mx+b

The m stands for the slope and the b stands for the y-intercept. We need two points on the line to write out this equation.

We have the two points you entered, so let's start by getting the slope. (1/3)

Now that we have the slope, we can plug it into our equation: y = 1/3x+b

To get b, our y-intercept, we just need to plug in one of the points you entered and solve. Now that we have both our m and b values, we can plug them in to get our equation: Y= 1/3x+2

Hope it helps.

Brian has $12 and he makes $9 per hour washing cars. This can be represented as: y = 9x + 12. What does the slope represent? *​

Answers

for every hour (x) that brian spends working at the car wash, he will make 9 additional dollars to his current balance of 12.

Can someone help this is due today

Answers

Answer:

24

Step-by-step explanation:

[tex] {ba}^{2} = {bc}^{2} - {ac}^{2} \\ {ba}^{2} = {10 }^{2} - {8}^{2} \\ ba = \sqrt{100 - 64} \\ ba = \sqrt{36 } \\ ba = 6[/tex]

Area of triangle = 1/2 × AC × BA

= 1/2 × 8 × 6

= 48/2

= 24 in²

#CMIIW

2 Addition of which two number is
736​

Answers

Step-by-step explanation:

it can be 700 + 36

hope it helps...

The Hernandez family orders 3 large pizzas. They cut the pizzas so that each pizza has the same number of slices, giving them a total of 24 slices.
The Wilson family also orders several large pizzas from the same pizza restaurant. They also cut the pizzas so that all their pizzas have the same number of slices. For the Wilson family, the equation y = 10x represents the relationship, where x represents the number of pizzas and y represents the number of total slices.
Which statements best describe the pizzas bought by the Hernandez and Wilson families? Select two options.
For the Hernandez family, the equation y = 3x represents the relationship between the number of slices and number of pizzas, where x represents the number of pizzas and y represents the number of total slices.
For each family, a graph of the relationship between number of pizzas, x, and number of slices, y, goes through the point (0, 0) and is a straight line.
The Hernandez family’s slices are smaller than the Wilson family’s slices.
If the Wilson family ordered 3 large pizzas from the same restaurant as the Hernandez family, they would have more slices than the Hernandez family after each family cut their pizzas into slices.
The constant of proportionality is 10 for the Wilson family, but cannot be determined for the Hernandez family.

Answers

Answer:

B and C sry if Im not correct

Step-by-step explanation:

f(x)= 3x and g(x)= -x+4, so f(g(2))=?

Answers

Answer: 6

Step-by-step explanation: first, you plug in 2 into the g(x) function. So, replace x with 2 in the second function g(x). -2 + 4 = 2. Then take that answer (2), and plug that into the x for f(x). 3 x 2 = 6

Answer:

[tex]f(g(2))=6.[/tex]

Step-by-step explanation:

We have [tex]g(x)=-x+4 \Rightarrow g(2)=-2+4=2[/tex]

Since [tex]f(x)=3x[/tex] then [tex]f(g(2))=f(2)=3.2=6.[/tex]

select all of the trips that would take 2 hours​

Answers

Answer:

a field trip

a road trip

a trip to a far antique museum

Uhm I would also appreciate if i had options.

Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars.
What is the mean absolute deviation of the number of cars?
Round to the nearest tenth, if needed.
A. 0.7
B. 1.1
C.1.4
D. 2

Answers

Answer: Its A 0.7

Step-by-step explanation:

Answer:

The answer is A. 0.7

Step-by-step explanation:

I took the test

Find C.
Round to the nearest tenth

Answers

Answer:

Step-by-step explanation:

c^2=a^2+b^2-2abcosC

cosC= (a^2+b^2-c^2)/(2ab)

C=arccos[(a^2+b^2-c^2)/(2ab)]

C=arccos(90^2+55^2-50^2)/(2(90)55)

C=arccos(8625)/(9900)

C=29.4 degrees

What is the area of this rectangle?​

Answers

Answer:

11 1/4

Step-by-step explanation:

1. count all the wholes -> 8

2. add all the halves ->there are 6 halves which is 3 wholes

3. add 1/4

4. add it all -> 8+3+1/4=10 1/4

Help me! Best answer gets brainliest

Answers

Answer:

the answer is 24 but its a little hard to explain why, if u need me to i will

Step-by-step explanation:

Answer:

the answer is 20 Ft i just looked it up on quizz

Step-by-step explanation:

help help PLEASE i will love you for eternity, THATS IF I GET IT RIGHT

Answers

Answer:

the first ones is the first one :)

Mrs. Vargas went to lunch, and the bill was $28 for the meal. How much will the tip be if she wants to leave a 15% tip?


Explain

Answers

Answer:

Step-by-step explanation:

Percent means per one hundred, so to leave a 15% tip

28(15/100)=$4.20

The tip will be $4.20

Guys I rly need help. DUE SUPER SOON!

Answers

Answer:

Answer is B hope this helps

Step-by-step explanation:

b i’m pretty sure hope this helps

Which one is false ????

Answers

Answer:

b

Step-by-step explanation:

The Smiths want to fence their square garden, which has an area of 289 square feet. What would be the minimum amount of fencing needed to complete the project? A) 68 feet of fencing B) 17 square feet of fencing C) 289 feet of fencing D) 17 feet of fencing

Answers

Answer:

68 feets of fencing

Step-by-step explanation:

Given that:

Area of square garden = 289 ft²

The side length of square garden can be obtained thus :

Area of a square = s²

Where s = side length

s² = 289

s = sqrt(289)

s = 17

Perimeter of square garden : 4s

Perimeter = 4* 17 = 68 feets

Someone help please :) and make sure it’s right please

Answers

Answer:

I think it's 6 but you'll have to wait for someone who's smarter or sure ab the answer sorry

Answer:

x = 6

Step-by-step explanation:

10x + 10 = 11x + 4        <-- Subtract 10 from the left side

10 = x + 4                   <-- Subtract 4 from the right side

6 = x

Liam had a stack of 50c coins. He spent €2.75 and had €1.75 left. How much did he have at the start?

Answers

Answer:

Total coins Liam at the start = 9

Total money Liam in the start = €4.5

Total money Liam in the start = 450 cent

Step-by-step explanation:

We know that

1€ = 100 cent

⇒1 cent = 0.01 €

⇒50 cent = 0.5€

Now,

Total money spent = €2.75

Total money left = € 1.75

So, Total money in the initial = Total money spent + Total money left

                                               = €2.75 + €1.75 = €4.5

⇒Total money in the initial = €4.5

Now,

1€ = 100 cent

⇒€4.5 = 450 cent

Now,

As Liam has a stock of 50 cent coins

So, total coins Liam left with = 450/50 = 9 coins

-10(4x-5) what are all expressions that equal

Answers

Answer:

-40x+50

Step-by-step explanation:

-10(4x-5)

-40x+50

What shape is produced when slicing a right rectangular pyramid perpendicular to the base?

Answers

C. triangle.
Pyramids are triangles to begin with you’re just making a smaller one

What is an equation of the line that passes through the points (6,-3) (-6, -5)

Answers

Step-by-step explanation:

m1=y2-y1/x2-x1

=-5-(-3)/-6-6

=-2/-12

=1/6

-3=1/6(6)+b

b=-4

y=1/6x-4

Determine if DE is parallel to AC. Show all your work!!!
24
40
E
22.5
D
15
B

Answers

Answer:

Step-by-step explanation:

We will prove the converse of the postulate,

"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"

Segment DE intersects AB and BC at D and E respectively,

Ratio of the segments of two sides,

[tex]\frac{AD}{DB}=\frac{CE}{EB}[/tex]

[tex]\frac{22.5}{15}=\frac{24}{40-24}[/tex]

1.5 = 1.5

True.

Therefore, lines AC and DE are parallel.


1. A rectangle is 3/4 as wide as it is long. How
wide is the rectangle if it is 8 inches long?
A 5 in.
B 6 in.
C 7 in.

Answers

Answer:

B. 6 inches

Step-by-step explanation:

To find how wide it is, multiply the length by 3/4

8(3/4)

= 6

The width of the rectangle in 6 inches.

So, the correct answer is B. 6 inches

A store sells card games for $6.95 each. Board games sell for $15.00 each. Monica
is buying 3 card games and x number of board games. Which equation can be
used to find y, the total price Monica must pay in dollars?

Answers

Answer:

20.85+x=y

Step-by-step explanation:

Since Monica is buying 3 card games, we multiply 3*6.95. Then, we have 20.85. Then, we will add x to 20.85 to find y. So final answer is :

20.85+x=y

HOPE THIS HELPS

if the length of a rectangle in terms of x is x^2+2x-3 and its width is 2x^2+3x+5, what is the perimeter of this rectangle?

perimeter: ___units

Answers

Step-by-step explanation:

perimeter=(L+W)2

L=x^2+2x-3

W=2x^2+3x+5

(x^2+2x-3+2x^2+3x+5)2

(x^2+2x^2+2x+3x-3+5)2

(3x^2+5x+2)2

p=(6x^2+10x+4)units


At work, Mr. Grinnell receives 20 phone calls every 60 minutes. How many calls should he expect to receive in 180 minutes?
40
60
80
100
40

Answers

Answer:

60

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

180/60=3 so 3*20=60 so 60 is your answer.

pls help me nowwwwwwwwwwww

Answers

Answer:

132

Step-by-step explanation:

caculator

Answer:

132

Step-by-step explanation:

negative times a negative = a positive and 11 times 12 is 132

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