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 = {∅}Can’t figure it out pls help
Answer:
45, 45
Step-by-step explanation:
the corner shows that is a right angle with 90 degrees. the 4 lines going through each side tell me all the sides are the same.
all 3 angles added together equals 180
the other 2 corners have the same value
90 + x + y = 180
x and y are the same since all sides are the same and the right angle is present.
both are 45
Consider the rational function:
f(3) = 22-53-6
22 +31-10
Which values are restrictions on the domain of f(x)?
theres also an answer option of x=5 but it wouldnt fit in the picture
2&3
Step-by-step explanation:
You have to factorise the second equation and you have to solve it. so you have x²-2x-3x+6
x(x-2)-3(x-2)
(x-2)(x-3)=0
Then you have to find x for each equation.
x-2=0
x=2
x-3=0
x=3
So the restricions are 2&3.
c. The double shadedregion represents
of the whole.
Step-by-step explanation:
please the information needed is up the paper. you took a picture of no. 2 instead of no. 1
Round the number 245,382 to the nearest given place value.
13. hundred
14. ten-thousand
16. ten
15. thousand
The value of each digit in a number is known as the place value. The number 245,382 to the nearest hundred place value is 245,400.
What is the place value of a digit in a number?The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.
The given number 245,382 can be rounded off to the nearest given place values as,
A.) hundred
The hundred is the third place in any number from the right end since the second value is 8 which is close to 10, therefore, the hundred place value will be rounded off to the next number.
245,400
B.) ten-thousand
The ten-thousand is the fifth place in any number from the right end since the fourth value is 5 followed by 382 which is more close to 50,000 than 40,000 , therefore, the ten-thousand place value will be rounded off to the next number.
250,000
C.) ten
The ten is the second place in any number from the right end since the first value is 2 which is close to 0, therefore, the ten place value will be the same while the first place will become zero.
245,380
D.) thousand
The thousand is the fourth place in any number from the right end since the third value is 3 which is close to 0, therefore, the thousand place value will be the same while the third place and the ahead will become zero.
245,000
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4. Which values are solutions of
2x – 1= 7? Select all that apply.
A) X=-4
(B) x = -3
C=3
D= 4
Answer:
D. x = 4
Step-by-step explanation:
2x – 1= 7
add 1 to both sides:
2x=8
divide both sides by 2:
x=4
One solution.
Complete the following.Write the answers in your journal
I learned filtering of solid and liquid mixtures can be saperated with the use of____ or____ as a medium in which_______material in the medium
Sieving is a method in which ________of ________sizes are separated from a mixture on the basis of the _____
Answer:
1.FILTER WATER 2.FILTER CLOTH
3.LIQUIDS
4.INSOLUBLE
5.DIFFERENCE
what is the LCD of 3/5, 1/10, 1/2
Fatima drove 100 miles in 4 hours. What is the constant of proportionality for 100 miles in 4 hours and 200 miles in 8 hours? Please answer ASAP.
Answer:
25
Step-by-step explanation:
4 hours goes into 100 miles 25 times.
please help with this algebra ii question
Answer:
Second Choice
Step-by-step explanation:
The vertex form can be expressed as:
[tex] \displaystyle \large{f(x) = a {(x - h)}^{2} + k}[/tex]
We know that the vertex is (h,k) which we are given (-3,-1). Substitute h = -3 and k = -1 in:
[tex] \displaystyle \large{f(x) = a {(x - ( - 3))}^{2} - 1} \\ \displaystyle \large{f(x) = a {(x + 3)}^{2} - 1}[/tex]
Now we know that the parabola passes through (-2,1). Substitute x = -2 and f(x) = 1 then solve for a.
[tex] \displaystyle \large{1= a {( - 2 + 3)}^{2} - 1} \\ \displaystyle \large{1= a {(1)}^{2} - 1} \\ \displaystyle \large{1= a - 1} \\ \displaystyle \large{1 + 1= a } \\ \displaystyle \large{2 = a}[/tex]
Therefore a = 2.
Hence:-
[tex] \displaystyle \large{f(x) = 2{(x + 3)}^{2} - 1}[/tex]
A loan used for buying a home is called a mortgage. The Fortunato family is borrowing $430,000 to buy a home. They are taking out a 30-year mortgage at a rate of 3.55%. a. Compute the monthly payment to the nearest cent. fill in the blank 1 b. Find the total of all of the monthly payments for 30 years. fill in the blank 2 c. What is the total interest? fill in the blank 3 d. Which is greater, the interest or the original cost of the home?
Using compound interest, it is found that:
a) The monthly payments are of $3,401.49.
b) The total of all monthly payments for 30 years is of $1,224,536.
c) The total interest is of $794,536.
d) The total interest is greater.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year. t is the time in years for which the money is invested or borrowed.For the parameters, we have that:
The Fortunato family is borrowing $430,000 to buy a home, hence P = 430000.30-year mortgage, hence t = 30.Rate of 3.55%, hence r = 0.0355.Yearly compounding, hence n = 1.For practicality, first we are going to solve item b.
Item b:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]A(30) = 430000\left(1 + \frac{0.0355}{1}\right)^{30}[/tex]
[tex]A(30) = 1224536[/tex]
The total of all monthly payments for 30 years is of $1,224,536.
Item a:
$1,224,536 is paid in 30 x 12 = 360 months, hence:
1224536/360 = $3,401.49.
The monthly payments are of $3,401.49.
Item c:
The interest is the total subtracted from the principal, hence:
1224536 - 430000 = $794,536.
The total interest is of $794,536.
Item d:
Loan of $430,000, interest of $794,536, hence the total interest is greater.
You can learn more about compound interest at https://brainly.com/question/25781328
hi po pahelp ito pls pls pls pls pls pls pls
money
shopping
dividing
You deposit $400 in an account earning 8% interest compounded annually. How much will you have in the account in 15 years?
Answer:
you will gain 280,462.92 in peso.but you convert in in dollar you will gain $5,520.00
Heyyy help maybe????????????
please be super quick 3 minutessssss
Answer:
im pretty sure its B
Step-by-step explanation:
I THINK SOOO AHH
How do I Graph 2y=-8
Circle each input value. Underline each output value. 1. {(1, 1), (2, 3), (3,5)} 2. {(6,2), (5, 3), (4,8)}
Answer:
The first numbers in the sets are input and the second numbers are outputs.
1. {(1, 1), (2, 3), (3,5)}
Input = 1, 2, 3Output = 1, 3, 52. {(6,2), (5, 3), (4,8)}
Input = 6, 5, 4Output = 2, 3, 8A circle has a diameter of 24 yd. What is its circumference?
A circle has a diameter of 24 yd. What is its circumference?
Answer:
75.4
Step-by-step explanation:
Answer: 75.4 yd
Step-by-step explanation:
Using the formulas
C = 2 π r
d = 2 r
Solving for C
C = π d = π x 24 = 75.39822 yd
75.39822 rounded up is 75.4 so the answer is 75.4 yd.
What is an equation of the linethat passes through the points (3,-8) and (1,-2)
Answer:
y=3x+1
Step-by-step explanation:
m= [tex]\frac{-2-(-8)}{1-3} =\frac{-6}{2}[/tex] or -3
-8= -3(3) + b
-8= -9 + b
+9 +9
1=b
Then put in slope intercept form:
y= 3x+1
Hope this helps! :)
Please help. I will give brainly. Thank you
Answer:
1.
a = 1.96
( 1.4 x 1.4)
b= 3750
c= 1/48
2.
a= 2?
dont take my word on that but here.( An arithmetic sequence is any list of numbers that differ, from one to the next, by a constant amount. For example, the list of even numbers, 0,2,4,6,8… is an arithmetic sequence, because the difference from one number in the list to the next is always 2.[1] If you know you are working with an arithmetic sequence, you may be asked to find the very next term from a given list. You may also be asked to fill in a gap where a term is missing. Finally, you might want to know, for example, the 100th term, without actually writing out all 100 terms. A few simple steps can help you do any of these.
b= 3
c= 16-4a
( IM NOT SO CONFIDENT ABOUT 2)
3.
a= 17
b= ( 2squared - 1)
Step-by-step explanation:
Answer:
thank you for the points bozzo
how do I determine what a function is for a line graph
Answer: Use the vertical line test to determine whether or not a graph represents a function. If a vertical line is moved across the graph and, at any time, touches the graph at only one point, then the graph is a function. If the vertical line touches the graph at more than one point, then the graph is not a function.
Step-by-step explanation:
Is this relation a function? Justify your answer.
Answer:
Yes
Step-by-step explanation:
(I can only read the graph).
Since for each dot, a vertical line drawn through it only intersects that dot, we conclude that the relation is a function.
Help or don’t eiether way you’re amazing
Answer:
267 (please double check this!!!)
Step-by-step explanation:
Separate the block into sections that you can find the volume for easily and figure out the measurements for each
the two smaller blocks on top will be symmetrical
the bottom area is 5 high and 3 deep and you get the length by adding 4+5+4 because that's the length of the whole thing
so 13*3*5 = 195
The two smaller blocks is just adding a *2 once you figure out the one
it's 3 deep still and 4 wide, if you subtract the total height from the height given of the bottom part you get 3
3*4*3 = 36
you have another one of those blocks so it'd be 36*2
then you add them both 72+195 = 267
Choose the symbol that correctly compares the fractions below.
9/11 ? 10/11
a.) >
b.) <
c.) =
Answer:
b) <
Step-by-step explanation:
Answer:
b.)<
9 / 10 < 10 / 11
Hope it helps:-)
i am just completely lost at this point so pls just answer properly
Answer:
$80
Step-by-step explanation:
192÷12=16
16•5=80
Answer:
Elena puts in $80 into her savings account
Step-by-step explanation:
You need to multiply 5/12 and 192. Think of "5/12 x 192" as "5/12 of 192." If you don't know how to multiply a fraction with a whole number, you can convert the fraction to a decimal. Hope this helps!
A truck can be rented from Company A for $80 a day plus $0.40 per mile. Company B charges $40 a day plus $0.50 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same. At nothing miles, the rental costs are the same from either company
Look at the graph below.
What is the slope of the line?
OA. 5
OB. -5
oc. 1
OD. -
Leonardo needs 1.65 L of distilled water for an experiment how many 550 ML containers of water will he need for the experiment
Answer:
0.0003
Step-by-step explanation:
--- point (MC) 8 9 What is the value of m in the equation? 239 - 7 = m - 2
Answer:
m=234
Step-by-step explanation:
239-7=232
The equation now looks like this:
232=m-2
Add 2 on both sides:
m=234
Hope this helps!
Increase £2193.67 by 8.5% Give your answer rounded to 2 DP.
Answer:
£2380.13
Step-by-step explanation:
An increase of 8.5% is 100% + 8.5% = 108.5% = 1.085 , then
£2193.67 × 1.085 = £2380.13 ( to 2 dec. places )
Yesterday, Kofi earned 50 Cedis mowing lawns. Today, Kofi earned 60% of what he earned yesterday mowing lawns. How much money did Kojo earn mowing lawns today?
The amount of money that Kojo earn mowing lawns today is 30 cedis
To determine the amount of money that Kojo earn mowing lawns today we are going to multiply the amount she earn by the her earning percentage.
Using this formula
Amount=Earning × Earning rate
Where:
Earning=50 cedis
Earning rate=60%
Let plug in the formula
Amount=50×.60
Amount=30
Inconclusion The amount of money that Kojo earn mowing lawns today is 30 cedis
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Since Kofi earned 60% of what he earned yesterday mowing lawns, today he earned 30 Cedis.
Given the following data:
Amount earned yesterday = 50 Cedis.Percentage today= 60%To find how much money Kojo earn mowing lawns today:
In this exercise, you're required to find the amount of money earned by Kofi, if he was able to make certain amount of money the previous day.
Hence, we would determine what percentage of the money he earned today.
[tex]Today's\;earnings = \frac{60}{100} \times 50\\\\Today's\;earnings = \frac{3000}{100}[/tex]
Today's earnings = 30 Cedis
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