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andrew11 [14]
3 years ago
10

What is the simplified form of (- 7+ 8i) - (- 5i + 4i?)?

Mathematics
2 answers:
ruslelena [56]3 years ago
6 0

Answer: 7-

Step-by-step explanation:

WARRIOR [948]3 years ago
4 0

Answer:

9 i - 7

Step-by-step explanation:

Simplify the following:

-7 + 8 i - (-5 i + 4 i)

Hint: | Combine like terms in -5 i + 4 i.

-5 i + 4 i = -i:

-7 + 8 i - -i

Hint: | Multiply all instances of -1 in -(-i).

(-1)^2 = 1:

-7 + 8 i + i

Hint: | Add the numbers in -7 + 8 i + i together.

Add like terms. -7 + 8 i + i = -7 + 9 i:

Answer: 9 i - 7

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You can get a quart bottle of cola for $1.50 or a liter bottle for $1.57. Which is the better buy in terms of price per volume?
pochemuha

Answer:

The quart bottle of cola for $1.50 is the better buy.

Step-by-step explanation:

In order to compare the amount of cola per cost, you need to first use the same measurements.  Since one bottle is a quart and one bottle is a liter, we need to convert one to the other.  There are approximately 1.06 quarts per liter.  So, for the quart bottle, we can also say it has 1.06 liters of cola.  To find the price per volume, we take the cost divided by the volume:  1.50 ÷ 1.06 = $1.42.  The liter bottle costs $1.57.  So, the quart bottle would be cheaper overall by approximately $0.15.  

5 0
3 years ago
PLEASE LOOK AT PHOTO! WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINIEST!!
AysviL [449]

Answer:

25° is the answer

hope it helps you please mark me as brainlist

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8 0
2 years ago
Choose the point-slope form of the equation of this line.​
igor_vitrenko [27]

Answer:

y= -5x +7

Step-by-step explanation:

We can see points on the graph:

  • (2, -3) and (3, -8)

The function in general form is:

  • y= mx+b

Let's find the slope and y-intercept as per identified points on the graph:

  • m= (y1-y1)/(x2-x1)
  • m= (-8+3)/(3-2)= -5

b= y- mx

  • b= - 3 -(-5)*2= -3 +10= 7

Based on the found values of m and b, the given line is:

  • y= -5x +7
4 0
2 years ago
Read 2 more answers
2<br> v<br> What is the equation of a line that is parallel to y = -4x – 3 and shifted down 3 units?
Ugo [173]

Answer: y=-4x-6

Step-by-step explanation:

Given

The equation of line is y=-4x-3

The line which is parallel to the given line is y=-4x+c

and shifted by 3 units down i.e. its y-intercept is 3 units below the given line

\therefore y=-4x-3-3\\\Rightarrow y=-4x-6

3 0
3 years ago
Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t
-Dominant- [34]

Let

x--------> the number of children

y------> the number of teenagers

z------> the number of adults

we know that

2x+3y+5z=1,950 ------> equation A

x+y+z=570 -----> equation B

y=\frac{3}{4}x

x=\frac{4}{3}y -------> equation C

Substitute equation C in equation A and equation B

2[\frac{4}{3}y]+3y+5z=1,950

\frac{17}{3}y+5z=1,950 --------> equation D

[\frac{4}{3}y]+y+z=570

\frac{7}{3}y+z=570 --------> equation E

Multiply equation E by -5

-\frac{35}{3}y-5z=-2,850 --------> equation F

Adds equation D and equation F

\frac{17}{3}y+5z=1,950\\\\-\frac{35}{3}y-5z=-2,850\\\\---------\\\\-\frac{18}{3}y=-900\\\\y=3*900/18\\\\y=150\ teenagers

therefore

<u>the answer is the option</u>

150\ teenagers


4 0
2 years ago
Read 2 more answers
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