Given :
A = {x: 2x² + 3x - 2 = 0 } B = {x : x² + 3x - 4 = 0 }To find :
(A U B ) × (A Π B )Solution :-
The first set is ,
A ={x : 2x² + 3x - 2 = 0}Solving the Quadratic equation ,
2x² + 3x - 2 = 0 2x² + 4x - x - 2 = 0 2x( x + 2) -1( x + 2 ) = 0(2x -1) ( x + 2) = 0 x = 0.5 , -2Hence ,
A ={0.5, -2}The second set is ,
B ={ x :x² + 3x - 4 = 0 }Solving the Quadratic equation ,
x² + 3x - 4 = 0 x² + 4x - x - 4 = 0 x( x + 4)-1 ( x +4) = 0 (x + 4) ( x -1) = 0 x = 1 , -4Hence ,
B ={1,4}Now ,
A U B = { 0.5 , 1 , 4 , -2} A Π B = {∅ }Since AΠ B is a null set , hence ,
A × B = {∅}Let r = .05 be the reserve rate. Which of the following is the money multiplier?
Answer:
1/0.05
Step-by-step explanation:
The formula for the money multiplier is :
1/ Reserve rate
If is wrong i'm sorry
Answer:
1/0.05
Step-by-step explanation:
Just did test
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answer:
17 units
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
fill in the blank (Geometry B)
Use a graphing utility to graph the equation. Use the graph to approximate the values of x that satisfy each inequality.
y =
1
2
x2 − 2x + 1
Answer:
25
Step-by-step explanation:
12x2=24-2x+1=25-2x
25-2x=y
(0)
25=y
What would 4 divided 4/5 be and please explain step by step or show your work on a piece of paper to get marked =]
Answer:
5
Step-by-step explanation:
4/1 ÷ 4/5 = 4/1 x 5/4 = 20/4 = 5
PLEASE HELP - VERY EASY MATH AND EASY 18 POINTS.....
Suppose you have a choice to receive $100 per day or 1 cent on day one, 2 cents on day two, 4 cents to day 3 on so on...
a) In how many days will both options end up paying about the same amount in total?
Answer: JK ITS IMPOSSIBLE BOIIII yeah it is the pennies even with the 1 penny at the beginin dun work ive tried smashing calculator about this many times 2147483649 and it doesnt work out so yeah f
Answer: It's not possible
Step-by-step explanation:
A new car sells for $27,300. It exponentially depreciates at a rate of 6.1% to $22,100. How long did it take for the car to depreciate to this amount? Round your answer to the nearest tenth of a year. fill in the blank 1
Answer:
3
Step-by-step explanation:
27300 * (1-6.1%)^n = 22100,
n∈(3,4)
when n = 3,≈22603;
when n = 4,≈21224;
so choose n = 3.
Therefore, it takes car to depreciate to this amount is [tex]3[/tex].
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
Here given that,
A new car sells for $[tex]27,300[/tex]. It exponentially depreciates at a rate of [tex]6.1[/tex]% to $[tex]22,100[/tex].
So, the equation is
[tex]27300(1-6.1)^n=22100\\\\[/tex]
when [tex]n[/tex] belongs to [tex](3,4)[/tex]
when [tex]n=3\\[/tex]
The equation would be
[tex]27300(1-6.1)^3=22100\\\\=22603[/tex]
When
[tex]n=4\\27300(1-6.1)^4=22100\\=21224[/tex]
So, the time it takes to depricate to the given amount is [tex]22603[/tex] when [tex]n=3[/tex].
Hence, it takes car to depreciate to this amount is [tex]3[/tex].
To know more about the simplification
https://brainly.com/question/12795317
#SPJ2
What are the terms in the expression 2d + 7 + 5f?
2 and 5
d and f
2d, 7, and 5f
2, 7, and 5
Answer: 2d, 7, and 5f
Step-by-step explanation: Each part of the equation that is separated by a + or - is considered a "term."
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors
Answer:
3000000cm³
3000dm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]
HELP PLSSSSSSSSSSSSSSSSSSSS
Step-by-step explanation:
I need help in that too :(
Answer:
1 true
2true
3 false
4 false
Step-by-step explanation:
Use intercepts to graph the linear equation 5x+3y=30
30/5 is equal to 6
this is your x-intercept
30/3 is equal to 10
this is your y-intercept
I think you know what to do now :)
(0,10) and (6,0)
Alicia has hair that is 32 inches long. She asks the hairdresser to cut off 1/4 of the total length of her hair.
How many inches does the hairdresser cut?
Answer:
hairdresser cuts 8 inches
Step-by-step explanation:
32 ÷4 =8
What is the answer to these questions?
Answer:
The answer to the first question is: 9 4/21
The answer to the second question is: B.) 24 14/27
I hope this helps you! :D
what is the height if a painting is 1 centimeters and represents as 9 inches
Answer:
The height of the real painting is 36 inchesVWrite the cubic polynomial function f(x) in expanded form with zeros −6, −5, and −2, given that f(−1)=40
This is an interesting problem. The underlying solution is to solve a system of equations.
First we need to define what's a cubic polynomial function :
f(x) = [tex]ax^{3}+bx^{2}+cx+d[/tex], where a,b,c,d are constant values.
We assume from the problem that f(-1) = 40, and that the zeros of our unknown function are -6,-5 and -2.
This gives us a system of equation to solve :
[tex]-216a +36b-6c+d=0\\-125a+25b-5c+d=0\\-8a+4b-2c+d=0\\-a+b-c+d = 40\\[/tex]
Good luck
7.
Write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = –2
A. y – 10 = –2(x + 9)
B. y – 9 = –2(x – 10)
C. y – 9 = –2(x + 10)
D. y + 9 = –2(x – 10)
Answer:
D. y + 9 = –2(x – 10)
Step-by-step explanation:
GradPoint answer
I also got the answer correct on the quiz.
If AB= 4 units and DC=4 units , what is the length of BC
Answer:
sqrt(2)
Step-by-step explanation:
bd=ab/2=2
=> bc=qrt(bd^2+dc^2)=sqrt(4+16)=2sqrt(5)
What’s the equation of the horizontal asymptote
By inspection, the equation for the horizontal asymptote is y = -3.
Answer this math problem
[tex]\\ \sf{:}\dashrightarrow \dfrac{w^2}{25}+45w+155[/tex]
w=1[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+45(52)+155[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2340+155[/tex]
[tex]\\ \sf{:}\dashrightarrow \dfrac{52}{25}+2495[/tex]
[tex]\\ \sf{:}\dashrightarrow 2+2495=2498[/tex]
Maria made 143 for 11 hours of work. At the same rate, how much would she make for 7 hours of work?
Answer:
She would make 91
Step-by-step explanation:
What is the median of this data set 15, 33,51,51,75
Answer:
51
Step-by-step explanation:
1. The median of a data set is the middle number within the data points.
2. As you can see, when you cross out each number from left to right then left to right again, you end up with 51 standing by itself. Therefore, the median is 51.
Help ASAP! i will give brainliest!
9514 1404 393
Answer:
-3/4a^3b^23.2·10^-1-0.1a^(n+1)Step-by-step explanation:
To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.
A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2
__
B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1
__
C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)
Louise had 425 marbles. She sold them in bags of 25. How many bags of
marbles did Louise have to sell? ?
Answer: 17 bags
Step-by-step explanation:
425/25= 17
solve the system x-y=5 and 4x-5y+17
Answer:
Step-by-step explanation:
x = 3
7=2
3-2=5
slope is 4/5
Which table represents exponential growth?
Answer:
B.
Step-by-step explanation:
Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.
Find the missing lengths of the sides.
Answer:
I would go with 3rd option
I used Pythagorean Theorem and my answer is that
a=3sqrt3
b=3
Step-by-step explanation:
Not sure why it's backwards I checked and rechecked, so let me know.
The points represented by the table like on a line. Find the slope of the line.
х
2
2
2
2
y
-6
3
-7
1
Answer:
undefined slope
Step-by-step explanation:
There us change in rise but no change in run or x value. This means is a vertical line and it's slope is undefined.
12. Determine the slope of the line having the equation 2x + y = 12
a. 2
b. -2
c. ½
d. -½
Answer:
b. -2
Step-by-step explanation:
Note the slope-intercept form: y = mx + b
Note that:
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:
2x (-2x) + y = (-2x) + 12
y = -2x + 12
Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2
b. -2 is your answer.
~
Answer:
b. -2
Step-by-step explanation:
2x+y=12
add -2x to both sides
y = -2x + 12
this is in slope intercept form y = mx + b
m meaning the slope
in this case the slope is -2
the answer will be b. -2
Find the probability that an observation randomly selected from the normal distribution is between 75 inches and 81 inches.
Answer:
Happy birthday to you
Nobody like you
U look like a an animal go back to the zoo
Step-by-step explanation:
HINDI PO NAKATAWA
Select the two statements that are true about the equation y − 10 = 60(x − 40).
A. The slope of the line is 10.
B. The slope of the line is 60.
C. One point on the line is (40, 10).
D. One point on the line is (10, 60).
Answer:
The answer for this question is B and C
The answer is B and C
The equation above is in point slope form
y-y1=m(x-x1)
Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)
So thats why B and C is the answer!
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