1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nevsk [136]
2 years ago
13

Simplify (4+i)(3-2i)

Mathematics
2 answers:
andreev551 [17]2 years ago
5 0

Answer:

-10i+15 or 15-10i

Step-by-step explanation:

Use the cross multiply method

(4+1)(3-2i)

4x3=12

4x-2i=-8i

1x3=3

1x(-2i)=-2i

now we sum our similarities.

-10i+15

Digiron [165]2 years ago
3 0

Answer: 14 - 5i

Step-by-step explanation:

You might be interested in
Write an equation in standard form of the line that contains the point (-1,2) amd is perpendicular to y = 3x - 1
Strike441 [17]
Since it is perpendicular to y=3x-1, the slope must be a negative reciprocal.
there the slope of the perpendicular line is -\frac{1}{3} x

So now we have, 
y=- \frac{1}{3} x+b

To find b, we use the point that the line passes through and substitute it to the y and x values.

2=- \frac{1}{3} (-1)+b

which would give us b=5/3

Therefore, the equation of the line is 
y=- \frac{1}{3} x+ \frac{5}{3}
7 0
2 years ago
A prism is filled with 30 cubes with 1/2 unit side lengths. What is the volume of the prism in cubic units?
Vladimir [108]

The correct anwser would be 56

7 0
3 years ago
F(x) =5x^2-20x+3 how to find minimum
Leya [2.2K]

Answer:

(2,-17) should be the minimum.

Step-by-step explanation:

The minimum of a quadratic function occurs at x=-\frac{b}{2a} . If a is positive, the minimum value of the function is f(-\frac{b}{2a})

f_{min}x=ax^2+bx+c occurs at x=-\frac{b}{2a}

Find the value of x=-\frac{b}{2a}

x = 2

evaluate f(2).

replace the variable x with 2 in the expression.

f(2)=5(2)^2-20(2)+3

simplify the result.

f(2)=5(4)-20(2)+3

f(2)=20-40+3

f(2)=-17

The final answer is -17

Use the x and y values to find where the minimum occurs.

HOPE THIS HELPS!

3 0
3 years ago
Which of the following points is a solution of the inequality y < -|x|?
Rzqust [24]

y < -|x|

replace the letters with the given numbers:

(1,-2)   -2<-|1|  this is true

(1,-1)   -1 <-|1| this is false

(1,0)   0 < -|1| this I false

The answer is (1,-2)

5 0
3 years ago
Read 2 more answers
The town recreation department ordered a total of 100 baseballs and bats for the summer.Baseballs cost $4.50 each and bats cost
Romashka [77]

Answer:

The town recreation department ordered 66 baseballs and 24 bats.

Step-by-step explanation:

Let the number of baseball be 'x'.

Also Let the number of bats be 'y'.

Given:

Total items bought = 100

Now we can say that;

Total items bought is equal to sum of number of baseball and number of bats.

Framing in equation form we get;

x+y =100 \ \ \ \ equation \ 1

Also Given:

Cost of each baseball = $4.50

Cost of each bat = $20

Total purchase = $822

Now we can say that;

Total Purchase is equal to to sum of number of baseball multiplied by Cost of each baseball and number of bats multiplied by Cost of each bat.

framing in equation form we get;

4.5x+20y =822 \ \ \ \ equation\ 2

Multiplying equation 1 by 4.5 we get;

4.5(x+y) =100\times4.5\\\\4.5x+4.5y = 450 \ \ \ \ equation \ 3

Now Subtracting equation 3 from equation 2 we get;

(4.5x+20y)-(4.5x+4.5y) = 822-450\\\\4.5x+20y-4.5x-4.5y =372\\\\15.5y = 372

Dividing both side by 15.5 we get;

\frac{15.5y}{15.5}= \frac{372}{15.5}\\  \\y =24

Substituting the value of y in equation 1 we get;

x+y =100\\\\x+24 =100\\\\x =100-24 =66

Hence the town recreation department ordered 66 baseballs and 24 bats.

5 0
2 years ago
Other questions:
  • Please answer this correctly please
    6·1 answer
  • What is the greatest whole number that rounds to 67,400?What is the least whole number?
    12·1 answer
  • (1-cos^2 60°)+(1-sin^2 60°)=tan^2 60°​
    9·1 answer
  • Kumar is opening a lemonade stand. He spent $4.50 to build the stand and $2.50 for lemons and sugar. He has enough ingredients t
    7·2 answers
  • Find the vectors T, N, and B at the given point. r(t) = &lt; t^2, 2/3t^3, t &gt;, (1, 2/3 ,1)
    12·1 answer
  • kenneth has a job that pays $11 per hour after taxes are taken out. He’s trying to save enough money to buy a video game that co
    11·1 answer
  • La caja rectangular que se ilustra en la figura tiene dimensiones de 8° x 6° x 4°. Calcule el ángulo ∅ formado por una diagonal
    12·1 answer
  • Which expression is equivalent to (3a)–2?
    11·1 answer
  • If line segment AB measures approximately 8.6 units and is considered the base of parallelogram ABCD, what is the approximate co
    12·1 answer
  • What number should both sides of the equation be multiplied by to solve for x?x\4.5 = 64564.5
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!