Find the polynomial of least degree in standard form with the given roots:
x = 2, 3i
Answer:
x^3 - 2x^2 + 9x - 18.
Step-by-step explanation:
The complex roots occur in conjugate pairs so there are 3 roots 2, 3i and -3i.
So we have:
P(x) = (x - 2)(x - 3i)(x + 3i)
= (x - 2)(x^2 - 9i^2)
= (x - 2)(x^2 - 9*-1)
= (x - 2)(x^2 + 9)
= x^3 + 9x - 2x^2 - 18
= x^3 - 2x^2 + 9x - 18.
The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of the painting?
A 9 inches
В. 12 inches
C. 13 inches
D. 18 inches
Answer:
Step-by-step explanation:
6/5 of ______ is 30
Please help
It is 36.
180/5 = 36
5/5 = 1
When we put that together, we can see that our complete answer is:
36/1
The complete and simplified answer to the question what is 6/5 of 30 is:
36.
help me out yall pleaseeee
PLEASE HELP. I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS BOTH PARTS OF THE QUESTION.
Parking at the posh center costs d dollars per hour during the off hours and an extra $3 per hour during peak hours. During holidays, the basic rate of d doubles. Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.
Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?
PLEASE HELP. I WILL GIVE BRAINLIEST TO THE PERSON WHO ANSWERS BOTH PARTS OF THE QUESTION.
THINGS TO REMEMBER:
the variable d represents dollarsCosts an extra $3 per hour during peak hoursWhile holiday's are going on the amount of d doublesFind how much parking would cost on a holiday during peak hour's-----
Question: Write an expression for how much it would cost to park for 3d hours on a holiday during peak hours.
-----
Answer: 3d × 2 or 3d + 3d
-----
Explanation: This is because during holidays the amount of d doubles. However since this is on a holiday DURING peak hours it would be 3d × 2
-----
Question 2: Then, if the basic off-hours parking rate is $2.50 per hour, how much would a person pay to park for 3d hours in the situation described above?
-----
Answer: $15
-----
Explanation: Since d represents dollars we would multiply 2.50 times 3 which would give us 7.5 then we double this since it is during holidays giving us $15
-----
NOTE: I AM SO SORRY IF THIS IS WRONG AND I MISSED SOMETHING. IF IT IS WRONG THEN PLEASE MAKE SURE TO TELL ME SO I CAN FIGURE OUT WHAT I MISUNDERSTOOD
Again I'm sorry but I hope I helped a little bit.
Find values for a and b so that 2(3x+5)+ax=5(4x−b) is an identity equation.
Answer:
a=30 b=2 (not sure)
Step-by-step explanation:
Simplify first part : 2*3x+ 2*5= 6x+10+ax
Simplify 2nd part : 5*4x-5*b. 5x-5b
we have: 6x+10+ax=20x-5b.
we minus 6x from both sides
10+ax=14x+5b
Minus 10
ax=14x+5b-10
Divide x
a=14+5b-10
a=4+5b
divde 5
a/5= 4+b
perhaps it is 30
30/5=4+b
6=6
but i am not sure
i will give brainiest! i have to turn this in tonight please hurry.
9514 1404 393
Answer:
(c) 24 minutes
Step-by-step explanation:
The rate of working problems differs by ...
(1 problem)/(1.5 minutes) - (1 problem)/(2 minutes)
= (2/3 -1/2) problems/minute
= 1/6 problems per minute
So, to make up the difference of 4 problems will take ...
time = quantity/rate = (4 problems)/(1/6 problem/minute) = 24 minutes
Caroline and Chase will be on the same problem after 24 minutes.
_____
Additional comment
Technically speaking, Chase will just be finishing problem 26 when Caroline starts it after 19.5 minutes. At that point in time, they are on the same problem. The answer choices suggest the real question is, "after how many minutes will they be starting the same problem at the same time?" After 24 minutes, both will be starting problem 29 at the same time.
The prom committee has no more than $600 to spend on centerpieces for the prom. If each centerpiece costs $25, what is the maximum number of centerpieces the committee can buy?
Answer:
600/25 = 24
Brainiest plz :)
Answer:
600/25 = 24
Have a good day I hope this helps.
Exercise 4.3. Determine the exact probability of drawing a 10 from a shuffled pinochle deck. (In a pinochle deck, there are 48 cards. There are six values: 9, 10, Jack, Queen, King, Ace. There are two copies of each value in each of the standard four suits: hearts, diamonds, clubs, spades.)
Answer:
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question:
Total of 48 cards.
Of those, there are 2*4 = 8 cards that are 10. So
[tex]p = \frac{8}{48} = \frac{1}{6}[/tex]
[tex]\frac{1}{6}[/tex] probability of drawing a 10 from a shuffled pinochle deck.
You can purchase 2 sodas for 3 dollars, how much does 6 sodas cost?
Answer:
It costs $9
Step-by-step explanation:
Lets look at the ratio:
2/3
We need x:
6/x
Make an equation using the butterfly method:
3(6) = 2x
Simplify:
18=2x
Divide both sides by 2:
x=9
It costs $9
A car dealership decreased the price of a certain car by 12%. The original price was $37,400.
Fill in the blank to write the new price in terms of the original price. Write your answer as a decimal. New price= × Original price
Use your answer in part (a) to determine the new price. Newprice: $
Answer:
(b) The new price of car is $43584.
Step-by-step explanation:
1. Select all equations that are equivalent to (5x+6) over 2 =3-(4x + 12). A5+6= 3 - (4x + 12) (5x+6) B. 2 = -4x -9 c. x+3 = 3 – (4x + 12) (5x+6) = -4x + 15 2 E. 5x + 6 = -8x – 18
Answer:
Only option E is equivalent to [tex]5x+6=-8x-18[/tex].
Step-by-step explanation:
Given the expression
(5x+6) over 2 = 3-(4x + 12)
Let us simplify the expression
[tex]\frac{\left(5x+6\right)}{2}=3-\left(4x+12\right)[/tex]
Multiply both sides by 2
[tex]\frac{5x+6}{2}\cdot \:2=3\cdot \:2-\left(4x+12\right)\cdot \:2[/tex]
[tex]5x+6=6-\left(4x+12\right)\cdot \:2[/tex]
Expand -(4x + 12) = -4x - 12
[tex]5x+6=-8x-18[/tex]
Thus, option E is equivalent to [tex]5x+6=-8x-18[/tex].
Further solving
[tex]5x+6=-8x-18[/tex]
Add 8x from to both sides
[tex]5x+8x=-8x-24+8x[/tex]
Simplify
[tex]13x=-24[/tex]
Divide both sides
[tex]\frac{13x}{13}=\frac{-24}{13}[/tex]
Simplify
[tex]x=-\frac{24}{13}[/tex]
Thus, only option E is equivalent to [tex]5x+6=-8x-18[/tex].
Answer:
E. 5x + 6 = -8x – 18
Step-by-step explanation:
Hope this will help
if you were to roll two standard six-sided dice, what is the probability that both land on a 3 or greater
Answer:
4/9
Step-by-step explanation:
P(≥3 and ≥3) = 4/6 x 4/6 = 4/9
Randy has 53 inches of ribbon that he cuts into 6 pieces of equal length. What is the equal length of each piece of ribbon in inches
Answer:
9
Step-by-step explanation:
The reason being 9 is because the keyword was equally so if you need to add an additional inch, it will make it equal.
please help i will give brainliest
Answer:
437/4x^5/328^1/2-445^1/21Step-by-step explanation:
hope this helps...
have a nice day
eggs are packaged by the dozen. if a dozen eggs cost $1.20, what is the unit price per egg?
Answer:
$0.10
Step-by-step explanation:
$1.20 divided by 12
Answer:
Price divided by quantity
that equation will make unit price a heck of a lot easier to remember
in this case, the quantity is 12. The price is 1.20. So, divide 1.20 by 12, and you get 10 cents per egg.
The unit price is .10 cents per egg.
Pls help me do you know the answer let me know
Answer:
Are you telling us to answer it all?
Step-by-step explanation:
Answer:
I'm so sorry I have no idea seems so so complicated
Step-by-step explanation:
But I think you would need a specific equation for it and substitute numbers in it.
A house was valued at $292,000 . Over several years, the value increased by 8%, giving the house a new value.
Answer:
315,360 I had to assume you needed that number, 292000+8%=315360
Diana had 41 stickers. She put them in 7 equal groups. She put as many as possible in each group. She gave the leftover stickers to her sister. How many stickers did Diana give to her sister?
Answer:
5 to each group and she gave 6 stickers to he sister
Some one please help
Answer:
1/31 or [tex]\frac{1}{31}[/tex]
To find the answer, simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Identify the slope.Nadia's pool already has 1000 gallons of water when she begins to fill it. It fills at a rate of 22 gallons per minute.PLZZ HELP
Evaluate 6 * 2 ^ x for a) x = - 2 and (b) x = 3 . Write your answers in simplest form.
Answer:
a. [tex]\frac{3}{2}[/tex] b. 48
Step-by-step explanation:
(a) The value of the expression when x = -2 is 1.5.
(b) The value of the expression when x = 3 is 48.
What is a function?A function is a relationship between a number of inputs and outputs. A function is an association of inputs where each input is coupled with exactly one output. There is a range, co-domain, and domain for every function.
Given that the expression is 6(2)ˣ.
To evaluate the expression 6(2)ˣ for different values of x, we simply substitute the value of x into the expression and simplify.
(a) When x = -2, we have:
6(2)⁻² = 6(1/4) = 1.5
So the value of the expression when x = -2 is 1.5.
(b) When x = 3, we have:
6(2)³ = 6(8) = 48
So the value of the expression when x = 3 is 48.
To learn more about the function;
brainly.com/question/28303908
#SPJ2
which of the following is the slope of the line that passes through the points (-2,8) and (10,-1)
HELP PLEASE !!
Ivanna is riding on a bike course that is 15 miles long. So far, she has ridden 6 miles of the course. What percentage of the course has Ivanna ridden so far?
Answer:
50%
Step-by-step explanation:
Solve each system by substitution.
2) 4x + y = -8
8x + 2y=5
A) (4-6)
C) (54,6)
B) No solution
D) (-6,4)
Answer:
b. no solution
Step-by-step explanation:
change to slope-int form
y=-4x-8
y=-4x+5/2
see how the slopes are the same but the y-int are different? they are parallel, so they never touch
A car can travel 41 miles on 1 gallon of gasoline. How far can it travel on 14
gallons?
Answer:
574
Step-by-step explanation:
Answer:
28
Step-by-step explanation:
The car goes 28 miles on 1 gallon of gas. If you have 14 gallons you would go 14 times faster than if you only have 1 gallon
-2 (1/3x - 1/5) please answer ASAP I have to turn this in in 30 min!!
Answer:
1/3 + 1/5 them you solve -2
Step-by-step explanation:
Answer:
-2/3x+2/5
Step-by-step explanation:
Open up parentheses
-2 x 1/3x= -2/3x
-2 x 1/5= 2/5
On a map, 2.7 inches = 60 miles. How far apart are two cities if they measure 4.5 inches
apart on the map?
Answer:
120 miles
Step-by-step explanation:
2.7 times 2 is 4.5, so 60 times 2 is 120 (you're basically doubling both.)
Solve the system of linear equations by graphing.
y = x-7
y = -2x + 5
Answer:
4
Step-by-step explanation:
24 divided by 2 times 5 then square foot of it
Answer:
7.75
Step-by-step explanation:
sq rt of (24/2)(5) = sq rt of 60 = 7.75
Answer:
7.75 rounded
Step-by-step explanation:
24 / 2 = 12
12 * 5 = 60
7.7459
rounded its 7.75