Answers
Answer:
a. {(1,3), (1,4) ,(2,3), (2,4) }
b. {(1,4), (1,5), (2,4), (2,5)}
Answer:
PxR={(1,4)(1,5)(2,4)(2,5)}
PxQ={(1,3)(1,4)(2,3)(2,4)}
Step-by-step explanation:
Each of the members of set P is multiplying by each member of set Q or R,
so, 1 in set P has to multiply by 3 and 4 in set Q or 4 and 5 in set R. (We do the same for 2)
When a member of a set multiplies with another, we put the two members of two sets we are multiplying in parentheses.
Related Questions
what is the algebraic expression of 3 divided by q please answer grade 6 way
Answers
Answer: 3/q
Step-by-step explanation:
Is there alternative way in solving a arithmetic sequence? yes or no? explain.
Answers
Answer:
Yes there is alternative way in solving and arithmetic sequence .An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.
what is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10
Answers
Answer:
(10, 15)
Step-by-step explanation:
To get the origin of the equation 2y+3x = 10, we need to get the x and y-intercept of the line.
x-intercept occurs at y = 0
If y = 0
2(0)+3x =10
3x =10
x = 10/3
x = 1.33
y-intercept occurs at x = 0
If x = 0
2y+3(0) =10
2y =10
y = 10/2
y = 5
Hence the coordinate at the origin is (10/3, 5). If this coordinate is dilated by 3, the required coordinate will be at (10/3*3, 5*3) = (10, 15)
Hence the required coordinate is (10, 15)
This diagram represents 3 batches of light yellow paint. Select a ratio that represents 1 batch of the same shade of light yellow paint. (look at screen shot for full question)
Answers
Answer:
3 white to 5 yellow
the third choice
Step-by-step explanation:
white 9 parts
yellow 15 parts
9 white to 15 yellow
Divide by 3
3 white to 5 yellow
If f(x)=2x+3 and g(x)= x^2-8find (f+g (x)
Answers
[tex] \large \boxed{(f + g)(x) = f(x) + g(x)}[/tex]
Use the following property above to find the value. Substitute f(x) and g(x) in.
[tex] \large{(2x + 3) + ( {x}^{2} - 8)} \\ \large{2x + 3 + {x}^{2} - 8}[/tex]
Evaluate/Combine like terms.
[tex] \large{2x + {x}^{2} - 5}[/tex]
This step is optional but it's the best to arrange the degree.
[tex] \large{ {x}^{2} + 2x - 5} \\ \large{(f + g)(x) = {x}^{2} + 2x - 5}[/tex]
Answer
(f+g)(x) = x²+2x-5Let me know if you have any doubts!
what is 1 6/9 +5 9/7
Answers
[tex]\longrightarrow{\green{7 \frac{20}{21}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]1 \frac{6}{9} + 5 \frac{9}{7} \\ \\ = \frac{15}{9} + \frac{44}{7} \\ \\ = \frac{15 \times 7}{9 \times 7} + \frac{44 \times 9}{7 \times 9} \\ \\ = \frac{105 + 396}{63} \\ \\ = \frac{501}{63} \\ \\ = \frac{167}{21} \\ \\ = 7 \frac{20}{21} [/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}[/tex]
Use any method to multiply (3a + 2b – c)(a – b + 2c).
Question 5 options:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
B)
3a2 + 2b2 + 2c2 – ab – 5ac + 5bc
C)
3a2 + 2b2 – 2c2 + ab + 5ac + 5bc
D)
3a2 – 2b2 – 2c2 + ab + 5ac – 5bc
Answers
Answer:
A)
3a2 – 2b2 – 2c2 – ab + 5ac + 5bc
[tex](3a + 2b - c)(a - b + 2c) \\ = (3 {a}^{2} - 3ab + 6ac + 2ab - 2 {b}^{2} + 6bc - ac + bc - 2 {c}^{2} ) \\ = 3 {a}^{2} - ab + 5ac - 2 {b}^{2} + 5bc - {2c}^{2} \\ = 3 {a}^{2} - 2 {b}^{2} - {2c}^{2} - ab + 5ac + 5bc[/tex]
Answer:
option a is correct
Step-by-step explanation:
(3a + 2b - c)(a - b + 2c)
3a(a- b + 2c) +2b(a - b + 2c) - c(a - b + 2c)
multiply the brackets
3a^2 - 3ab + 6ac + 2ab - 2b^2 + 4bc - ac + bc - 2c^2
combine like terms
3a^2 - ab + 5ac - 2b^2 + 5bc - 2c^2
3a^2 - 2b^2 - 2c^2 - ab + 5ac + 5bc
Which one hurry
A.9
B.18
C.27
D.33
Answers
Answer:
It’s c I do believe
Answer:
seriously, talk to your teacher. its 21 units squared.
I guess the person who draw this had 18 units squared in mind, but failed to properly draw it.
so none of the options really fit. it's just a badly done problem. not your fault though. its just some of these little things to be just a little mad about.
Point Q is the midpoint of GH¯¯¯¯¯¯. GQ=2x+3, and GH=5x−5 .
What is the length of GQ¯¯¯¯¯?
Answers
Answer:
[tex]GQ =25[/tex] --- GoTV
Step-by-step explanation:
Given
[tex]GQ = 2x + 3[/tex]
[tex]GH= 5x - 5[/tex]
Required
Find GQ
Since Q is the midpoint, then:
[tex]GH = 2 * GQ[/tex]
This gives:
[tex]5x - 5 = 2[2x+3][/tex]
Open bracket
[tex]5x - 5 = 4x+6[/tex]
Collect like terms
[tex]5x - 4x = 5+6[/tex]
[tex]x =11[/tex]
We have:
[tex]GQ =2x+3[/tex]
This gives:
[tex]GQ =2*11+3[/tex]
[tex]GQ =25[/tex]
change the following into mixed fraction 13/5
Answers
Answer:
2 3/5
Step-by-step explanation:
13/5
5 goes into 13 2 time
2*5 =10
13-10 =3
There is 3 left over. This goes over the denominator
2 3/5
2 3/5
Step-by-step explanation:
13/5
5*2=10
reminder=3
divisor = 5
Select the correct answer.
Which expression is equivalent to the given expression? Assume the denominator does not equal zero.
14x^4y^6/7x^8y^2
A. 2y^4/x^3
B. 7y^3/x^2
C. 7x^4y^4
D. 2x^2y^3
Answers
Answer:
The answer is A
Step-by-step explanation:
Answer:
Step-by-step explanation:
Hope this Helps ;)
Find the inverse of the following function. Then prove they are inverses of one another.
f (x)= root 2x-1.
Answers
Answer: [tex]\dfrac{x^2+1}{2}[/tex]
Step-by-step explanation:
Given
[tex]f(x)=\sqrt{2x-1}[/tex]
We can write it as
[tex]\Rightarrow y=\sqrt{2x-1}[/tex]
Express x in terms of y
[tex]\Rightarrow y^2=2x-1\\\\\Rightarrow x=\dfrac{y^2+1}{2}[/tex]
Replace y be x to get the inverse
[tex]\Rightarrow f^{-1}(x)=\dfrac{x^2+1}{2}[/tex]
To prove, it is inverse of f(x). [tex]f(f^{-1}(x))=x[/tex]
[tex]\Rightarrow f(f^{-1}(x))=\sqrt{2\times \dfrac{x^2+1}{2}-1}\\\\\Rightarrow f(f^{-1}(x))=\sqrt{x^2+1-1}\\\\\Rightarrow f(f^{-1}(x))=x[/tex]
So, they are inverse of each other.
Joseph invested $16,000 in an account paying an interest rate of 5.7% compounded
continuously. Assuming no deposits or withdrawals are made, how much money, to
the nearest cent, wbuld be in the account after 14 years?
Answers
Answer: 34767.2
Step-by-step explanation:
given p = $16,000, n = 14 years, y = 5.7%
amount in bank after 14 years = p ( 1 + </100)
= 16,000 (1 + 5.7/ 100) 14
= 34767.2
Answer:
$35537.51Step-by-step explanation:
Required formula:
P(t) = P₀[tex]e^{rt}[/tex]Substitute values and solve:
P(14) = 16000[tex]e^{0.057*14}[/tex]P(14) = 35537.51One batch of trail mix can be made by mixing 3 cups of granola with 0.75 cup of raisins. Hamid needs to make a bigger batch of trail mix. He makes a graph to be sure the mixture will be correct.
On a coordinate plane, the point (3, 0.75) is plotted.
How can he use the graph to find an equivalent ratio?
He can draw a straight line from the origin that passes through (0, 0.75).
He can draw a straight line from (3, 0.75) that passes through (6, 2).
He can draw a straight line from (3, 0.75) that passes through (6, 1).
He can draw a straight line from the origin that passes through (3, 0.75).
put it in the comments im out of answers
Answers
the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
How can he use the graph to find an equivalent ratio?He knows the relation:
3 cups of granola ⇒ 0.75 cups of raisins.
Assuming this is a proportional relation of the form:
y = k*x
Where k is a constant.
Then when x = 0, we also have y = 0, so the line also passes through the point (0, 0), which is the origin.
Then the graph that he needs to do is a straight line from the origin that passes through (3, 0.75), the correct option is the last one.
If you want to learn more about proportional relationships:
https://brainly.com/question/12242745
#SPJ1
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.
a) Calculate a 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation.
b) Give the value of the point estimate described in this scenario.
c) Give the value of the standard error for the point estimate.
d) Give the value of the margin of error if you were to calculate a 99% confidence interval.
Answers
Answer:
a) The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).
b) 0.81
c) 0.039.
d) 0.101
Step-by-step explanation:
Question a:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
In a randomly selected sample of 100 students at a University, 81 of them had access to a computer at home.
This means that [tex]n = 100, \pi = \frac{81}{100} = 0.81[/tex]
99% confidence level
So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 - 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.709[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.81 + 2.575\sqrt{\frac{0.81*0.19}{100}} = 0.911[/tex]
The 99% confidence interval for the proportion of all students who had use of a computer at home and give it in interval notation is (0.709, 0.911).
b) Give the value of the point estimate described in this scenario.
Sample proportion of [tex]\pi = 0.81[/tex]
c) Give the value of the standard error for the point estimate.
This is:
[tex]s = \sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.81*0.19}{100}} = 0.039[/tex]
The standard error is of 0.039.
d) Give the value of the margin of error if you were to calculate a 99% confidence interval.
This is:
[tex]M = zs = 2.575*0.039 = 0.101[/tex]
Plz help me solve this
Answers
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Answers
Let q be the number of quarts of pure antifreeze that needs to be added to get the desired solution.
8 quarts of 40% solution contains 0.40 × 8 = 3.2 quarts of antifreeze.
The new solution would have a total volume of 8 + q quarts, and it would contain a total amount of 3.2 + q quarts of antifreeze. You want to end up with a concentration of 60% antifreeze, which means
(3.2 + q) / (8 + q) = 0.60
Solve for q :
3.2 + q = 0.60 (8 + q)
3.2 + q = 4.8 + 0.6q
0.4q = 1.6
q = 4
please help ASAP (math)
Answers
Find the area of rectangle whose length is -3/7 and breadth is 16/3
Answers
Answer:
I'm gonna guess your length is positive and you made a typing mistake. If that's so....
Step-by-step explanation:
Area= length x breadth
=[tex]\frac{3}{7\\}[/tex] x [tex]\frac{16}{3}[/tex]
=[tex]\frac{16}{7}[/tex]
=2.29 [tex]unit^{2}[/tex]
Simplify r^2-2r^3+3r^2
Answers
Answer:
=−2r3+4r2
Step-by-step explanation:
r2−2r3+3r2
=r2+−2r3+3r2
=r2+−2r3+3r2
=(−2r3)+(r2+3r2)
=−2r3+4r2
I need the answer to this question
Answers
Answer:
Option(A)
Step-by-step explanation:
y=4x+2
When you replace the value of x in the equation you get the value of y
Answer:
the answer is A since if we lay it out we will get y
-6=-2*4+2
2=0*4+2
6=1*4+2
solve for x in parts below:
Answers
Answer:
x=30°
Step-by-step explanation:
50 + x =80 degree (sum of two interior opposite angles is equal to the exterior angles formed)
x=80-50
x=30 degree
may u plz help me.....
Answers
Answer:
the 3 is in the hundredths place
Step-by-step explanation: the numbers from behind the decimals goes tenths, hundredths, thousandths. there is two spots behind making it hundredths
Can someone please help me? You get points and it makes me happy.
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour?
A. $3.00
B. $6.00
C. $9.00
D. $12.00
No links or fake answers pls. Thanks for understanding.
Answers
Answer:
$6
Step-by-step explanation:
(x-3)+x=15
2x-3=15
2x=18
x=9
9-3=6
Melanie makes 6 and Carlita makes 9.
Evaluate the expression when a=-4 and x=5.
a- 1- 2x
help pls
Answers
Answer:
-15
Step-by-step explanation:
So it's a-1-2x.
rewrite as -4-1-(2*5)
-4-1-10
-4+-1-10
-5+-10
-15
Answer:
- 15
Step-by-step explanation:
a = -4 and x = 5. ( given )a - 1 - 2 x
- 4 - 1 - 2 ( 5 )
- 5 - 10
- 1 5
Can u help me with this?
Answers
Answer:
b
Step-by-step explanation:
it is the right answer pls believe me
3. Evaluate the expression. If k = 3 and h = 2. (Be sure to show each step)
4k+2(5k-2)-h
Answers
Answer:
36
Step-by-step explanation:
Simple:
(4)(3)+2((5)(3)−2)−2
=12+2((5)(3)−2)−2
=12+2(15−2)−2
=12+(2)(13)−2
=12+26−2
=38−2
=36
(xii) x^6 - 8 divide by x^2 - 2
Answers
Answer:
1/x^2
Step-by-step explanation:
x^6-8 / x^2-2
x^-2/x^0
x^-2/1
do reciprocal
1/x^2
Note : In division if the power of the base is negative then do its reciprocal then the power will be positive.
Can someone please answer this
Answers
In a game of chance,players spin a pointer on a spinner with eight equal-sized sections.
Answers
Answer:
The change of the person landing on each side is 1/8
Step-by-step explanation:
