The expression (3+i)(1+2i) can be written Jim the form a +bi, where a and b are integers. What are the values of a and b?
Answers
Answer:
a = 1
b = 7
Step-by-step explanation:
We start by opening the brackets
We have;
3 + 6i + i - 2
= 1 + 7i
comparing with a + bi
a = 1 and b = 7
Related Questions
Multiple Step Equations
Solve the multiple choice equation
What is the solution to this equation?
5(x – 4) = 3x + 4
A x = -8
(B) x = -2
C x=3
(D) x = 12
Math
Answers
The first step is to use the distributive property and turn 5(x-4) into 5x - 20.
You then move the twenty into the right equation by adding 20 to both sides. The final step is to move the 3x into the left equation by subtraction and then dividing both sides by 2 to isolate x. Hope this helped !!
Answer:
D
Step-by-step explanation:
5(x-4) = 3x + 4
5x-20 = 3x + 4
5x-3x-20= 4
2x=4 +20
2x=24
x=12
check answer by inserting 12 for x into original equation.
5(12-4) = 3(12) +4
5(8) = 36 +4
40 = 40
what is (40x33)+(4)x4??
Good luck
Answers
Answer:
1336
PLZ let me know if im wrong!!!
Felicia has grown five pumpkins. The first is 25.34 pounds. The second
weighs 10.23 pounds less than the first. Both the third and fourth pumpkin
are 13.2 pounds. If the combined weight of the pumpkins is 71.87 pounds,
how much does the fifth pumpkin weigh?
Answers
Answer:
5.02
Step-by-step explanation:
what are the possible degrees for the polynomial function
Answers
Answer:
Degree of the polynomial function = 5
Step-by-step explanation:
Since, the given graph of a polynomial has the x-intercepts at x = -2, -0.5, 0.5, 1.5, 3
Therefore, the equation of the polynomials with zero roots will be,
y = (x + 2)(x + 0.5)(x - 0.5)(x - 1.5)(x - 3)
When we solve this expression highest degree of the variable x will be 5.
Therefore, the possible degree of the polynomial function = 5
Answer:
i was going to screenshot the answer bc i got it right but its
"odd 5 degrees or greater" :)
hope all you guys are healthy and safe
The line passing through the points (-2, 10) and (5, -11)
Answers
y-intercept = (0, 4)
x-intercept = (3/4, 0)
Step-by-step explanation:1 - Find the slope
[tex]slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3[/tex]
2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.
y = mx + b
y = -3x + b
10 = (-3)(-2) + b
10 = 6 + b
-6 -6
4 = b
y-intercept = (0, 4)
3 - Rewrite the completed formula
y = -3x + 4
4 - Substitute 0 in for y to find the x-intercept
0 = -3x + 4
-4 - 4
-4 = -3x
-4/-3 = -3x/-3
4/3 = x
x-intercept = (4/3, 0)
A person places $7420 in an investment account earning an annual rate of 5.9%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 20 years.
Answers
Answer:
$24147.50Step-by-step explanation:
Step one:
given
principal=$7420
rate = 5.9%= 0.059
time = 20years
Step two:
Required
Final amount V
using the relation
[tex]V = Pe^{rt}[/tex]
Substituting we have
[tex]V = 7420e^{0.059*20}\\\\V=7420e^{1.18}\\\\V=7420*3.2543\\\\V=24147.456[/tex]
To the nearest cent
= $24147.50
The amount of money in the account after 20 years is $24147.50
4/9 is equivalent to 8/18 ?
Answers
Answer:
yes
Step-by-step explanation:Because if you divide 8/18 by 2 you get 4/9 so yes
Answer:
Yes.
Step-by-step explanation:
4/9 IS equivalent to 8/18. If you simplify 8/18 it is equal to 4/9, therefore they have the same value.
Hope this helps, have a good day :)
An election campaign organizer bought 20,000 buttons to hand out for a candidate. The organizer handed out 14,000 of the buttons before receiving the next shipment of 15,500 buttons. On the day of the election, the organizer handed out another 18,250 buttons. How many buttons were left after the election?
Answers
Answer: 3,250
Step-by-step explanation:
PLSS ANSWER FAST
Barnaby’s grandfather is always complaining that back when he was a teenager, he used to be able to buy his girlfriend dinner for only $1.50.
a.) If that same dinner that Barnaby’s grandfather purchased for $1.50 sixty years ago now costs $25.25 , and the price has increased exponentially, write an equation that will give you the costs at different times.
b.)How much would you expect the same dinner to cost in 60 years?
Answers
An equation that will give you the costs at different times is y = [tex]1.048^{t}[/tex].
The price of the dinner in 60 years will be $425.04.
What is the equation that represents the cost of the dinner?An exponential function is usually in the form: [tex]ab^{x}[/tex].
Where:
a = initial value b = rate of growth x = number of yearsRate of increase = (cost of the meal now / cost of the meal 60 years ago)^(1 / number of years)
(25.25 / $1.50) ^(1/60) = 4.8%
y = [tex]1.048^{t}[/tex].
What will be the cost of the meal in 60 years?25.25 x 1.048^60 = $425.04
To learn more about exponential functions, please check: https://brainly.com/question/26331578
#SPJ2
In 12 hours , the temperature fell steadily from 17F to -7F. What was the change in temperature
Answers
Answer:
the change was 24F
Step-by-step explanation:
Which expression can be used to find 25 percent of 88?
StartFraction 1 Over 25 EndFraction times 88
One-fourth times 88
StartFraction 1 Over 0.25 EndFraction times 88
StartFraction 1 Over 40 EndFraction times 88
Answers
Answer: 25/100* 88
Step-by-step explanation:
Answer:
88?
Step-by-step explanation:
Drilon got 63 out of 72 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answers
Answer:7/10
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
He got 63/72 correct.
Since he got 9 wrong (72-63).
Fraction of wrong answers = 9/72
Which is equal to 1/8.
rewrite 5\11 and 3\7 so that they have common denominator
Answers
Answer:
It would be 35/77 and 33/77
Step-by-step explanation:
You multiply the denominators until they are equal
How do I find the x in this special triangle?
Answers
Answer:
x=5
Step-by-step explanation:
a^2+b^2=c^2
a=4
b=3
c=x
4^2+3^3=x^2
16+9=x^2
25=x^2
5=x
Determine the quotient of 2 over 5 divided by 3 over 4. (2 points)
PLS I NEED HELP FAST PLS
Answers
Answer:
8 over 15
Step-by-step explanation:
you should get a calculator.
Answer:
8/15
Step-by-step explanation:
science pls help I give brainliest
Answers
Answer:
the answer is the third one
Step-by-step explanation:
Answer:
c snow sleet and hail
Step-by-step explanation:
rain snow sleet ice
True or false dilation increases the measure of angles
Answers
Answer:
It is false. Dilatation does not increase the measure of angles.
Step-by-step explanation:
whats 9x8 greer I forgot
Answers
Answer:
72
Step-by-step explanation:
You can use the 9s trick
Answer:
9x8=72
Step-by-step explanation:
9x5=45 5
9x3=27 +3=9
27+45=72
A taxi charges $1.25 per mile and a flat fee of $2.75. How much would Maria pay for a 5 mile ride?
Answers
Answer:
9
Step-by-step explanation:
so you write the expression 2.75+1.25x= ?
If we subsitute the X for 5(miles) the we'll have the expression 2.75+1.25(5)= ?
and if you simplify that you will get 9.
5x^4-7(-x)
Would the simplified version of this be 5x^4+7x?
Answers
Answer:
5x⁴ + 7x or x(5x³ + 7 )
Step-by-step explanation:
Given expression:
5x⁴ - 7(-x )
To simplify this expression, we have to follow the order of operation PEMDAS;
Parentheses, Exponents, Multiplication, Division, Addition and Subtraction
5x⁴ - 7(-x ) = 5x⁴ + 7x
Since x is common to both terms;
= x(5x³ + 7 )
So the simplified version can be 5x⁴ + 7x or x(5x³ + 7 )
MARKING PEOPLE AS BRAINLIST
Answers
Answer:
d
Step-by-step explanation:
Answer: The correct answer is D or number 4.
Step-by-step explanation:
I hope that this helped :)
A baker has three banana muffin recipes. Recipe A uses 3 bananas to make 12 muffins. Recipe B uses 5 bananas to make 24 muffins. Recipe C uses 1 banana to make 48 muffins.
Order the recipes by the number of bananas per muffin from least to greatest.
Answers
Answer:
Step-by-step explanation:
3/12=1/4, which means 1 banana per muffin
5/24=4.8, which means 5 bananas per muffin
1/48, which means 1 banana per 48 muffins
Solve the inequality: -2.2p > -8.8
Answers
Answer:
Less than -4
Step-by-step explanation:
negative numbers multiplied by negative numbers= positive numbers
so less than -4 makes the sum greater
Answer:
p<4
Step-by-step explanation:
REASON: The four has an open circle and it's four greater than the number/variable
~~Hope this helps~~
What is the value of x?
Enter your answer in the box
Answers
.....................
If A= 1, Be= 7, then ADD=?
Answers
Answer:
D or DD was not given any factor, but A was given which is 1, ADD= 1 multipltied by D
[tex]\pi - 1[/tex]
rational or irrational
Answers
because pi is an infinite number and subtracting 1 doesn’t really change the fact that it’s infinite/irrational
To plot (5,- 9), in which direction do you move
first?
Answers
Answer: You are gonna want to move right 5 times then down nine times!
Step-by-step explanation:
Answer:
if you are doing a number line then you start at 0 then go to right 5 times go to the left 7 times which would give you -2
Step-by-step explanation:
Work out the length x pls
Answers
Answer:
~17.67
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2
7.5^2+16^2=c^2
~17.67
Answer:
Step-by-step explanation:
We use pythagorus theorem which is; a²+b²=c²
(16cm)²+(75/10cm)²=x²
256cm²+225/4cm²=x²
1249/4cm²=x²
√1249/4cm²=√x²
312.25cm=x
Elsie has two bags, each containing x counters. Write an expression for the total number of counters Elsie has.
Answers
Answer:
Y=2x
Step-by-step explanation:
What is the distance between the points 4 and -5 on a number line?
Answers
Answer:
9
4--3--2--1--0--1--2--3--4--5
Positive Negative
Step-by-step explanation:
