Find the product (3+2i)(4+i)
Answers
Answer:
Step-by-step explanation:
Multiply each term inside the brackets and be aware that is just
. So, we are given
:
Lets start by multiplying the outer term :
Now first inner :
Now second inner :
Now last :
Now, we must simplify the last term while keeping in mind is just
:
Now add up all like terms :
And that's it!
Related Questions
What number should both sides of the following equation be divided by to solve for x?(6.4) x = 32 A.4 B.6.4 C.6 D.5
0.0052 scientific notation
(05.02 LC)Solve the following system: y = x + 3 2x + y = 9 (2, 5) (5, 2) (−2, 5) (2, −5)
A cup of brewed tea has 54 milligrams less caffeine than a cup of brewed coffee. If a cup of tea has 66 milligrams of caffeine, how much caffeine is in a cup of coffee? Write this problem in an equation.
Answers
2(x-3)5x = 60
2x -6 x 5x = 60
2x -30x = 60
-28x = 60
28x = -60
x = -15/7
Not sure if I'm correct, but hope it helped
- 12x - 9 = 0
B. 4 + 12x + 9 = 0
C. 4 - 6x - 9 = 0
C. 4 + 6x + 9 = 0
(Please show how you get the answer)
Answers
The equation 4x² + 12x + 9 = 0 has exactly one solution. The correct answer would be an option (C).
What is a quadratic function?
The quadratic function is defined as a function containing the highest power of a variable is two.
The solutions to a quadratic equation are found using the quadratic formula, which is:
x = (-b ± √(b² - 4ac)) / 2a
As per option (C),
4x² + 12x + 9 = 0
Compare the given function to the standard quadratic function f(x) = ax² + b x + c.
We get a = 4, b = 12, and c = 9.
The discriminant of the equation,
b² - 4ac = (12)² - 4×4(9) = 144 - 144 = 0
Since the discriminant is zero, this means the equation has only one solution.
Therefore, the equation 4x² + 12x + 9 = 0 has exactly one solution.
Hence, the correct answer would be option (C).
Learn more about the quadratic function here:
#SPJ2
quadratic formula: (-b(+or-)√(b^2-(4ac)))/2a.
You find that the equation 4x²+12x+9=0 only has the root of x=-1.5.
Since the solution is where the parabola crosses the x-axis, you can also figure out which equation has only one solution by whether or not the axis of symmetry lands is a solution or not. If the axis of symmetry is a solution, the function only has one solution (that being the vertex). If the axis of symmetry is not a solution, the function has to have either two or no roots. You can find the axis of symmetry by using the equation x=-b/2a. Using that equation you can find that the equation 4x²+12x+9 has the axis of symmetry being at x=-1.5 which means that the vertex is (-1.5,0). Since the equation 4x²+12x+9 has its vertex at (-1.5,0) and the vertex is the lowest or highest point of the function, that function only has one x-intercept meaning it only has 1 solution.
I hope this helps. Let me know in the comments if anything is unclear.
$4500, 9%, 3.5 years
Answers
Step-by-step explanation:
Principle (P) =$4500
Rate(R) =9%
Time(T)=3.5yrs
We know,
SI=P×T×R/100
=4500×3.5×9/100
=$1417.5
squeezing, wrenching, grasping, scraping, clutching, covetous old
sinner! Hard and sharp as flint, from which no steel had ever struck out
generous fire; secret, and self-contained, and solitary as an oyster. The
cold within him froze his old features, nipped his pointed nose, shrivelled
his cheek, stiffened his gait; made his eyes red, his thin lips blue; and
spoke out shrewdly in his grating voice. A frosty rime' was on his head,
and on his eyebrows, and his wiry chin. He carried his own low
temperature always about with him; he iced his office in the dog-days;
and didn't thaw it one degree at Christmas.
a stone for sharpening knives
2-wanting what someone else owns
3- frost
1. How is language used in this extract to describe Scrooge?
2. Write a description of an unusual character-real or
imagined
Answers
Answer:
Step-by-step explanation:
negative 15 square root 6
5 square root 3 minus 20 square root 2
5 square root 3 plus 4 square root 2
Answers
Simplify the radicals.
The correct answer is C.
Answers
- A centi unit (centi-) is equal to 1/100th or 0.01 of the base unit. For example, 1 centimeter (cm) is equal to 0.01 meters (m).
- A milli unit (milli-) is equal to 1/1,000th or 0.001 of the base unit. For example, 1 millimeter (mm) is equal to 0.001 meters (m).
So, the difference between a centi unit and a milli unit is that a centi unit is 10 times larger than a milli unit. In other words, there are 10 milli units in 1 centi unit.