Answer:
See explanation
Step-by-step explanation:
Function A is not clear; I will use the following in place of function A
Function A:
[tex]x \to\ 1 |\ 3 |\ 4 |\ 6[/tex]
[tex]y \to -1|\ 3|\ 5|\ 9[/tex]
Function B:
[tex]y = 2x + 4[/tex]
Required
Compare both functions
For linear functions, we often compare the slope and the y intercepts only.
Calculating the slope of function A, we have:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex](x_1,y_1) = (1,-1)[/tex]
[tex](x_2,y_2) = (3,3)[/tex]
So, we have:
[tex]m = \frac{3 - -1}{3 - 1}[/tex]
[tex]m = \frac{4}{2}[/tex]
[tex]m = 2[/tex]
To calculate the y intercept, we set [tex]x = 0[/tex], then solve for y
i.e.[tex](x,y) = (0,y)[/tex]
Using the slope formula, we have:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Where:
[tex]m = 2[/tex]
[tex](x_1,y_1) = (0,y)[/tex]
[tex](x_2,y_2) = (3,3)[/tex]
So, we have:
[tex]2 = \frac{3 - y}{3 - 0}[/tex]
[tex]2 = \frac{3 - y}{3}[/tex]
Multiply by 3
[tex]6 = 3 - y[/tex]
Collect like terms
[tex]y = 3 - 6[/tex]
[tex]y = -3[/tex]
So, for function A:
[tex]m = 2[/tex] -- slope
[tex]y = -3[/tex] --- y intercept
For function B
[tex]y = 2x + 4[/tex]
A linear function is represented as:
[tex]y = mx + b[/tex]
By comparison
[tex]m = 2[/tex] --- slope
[tex]b = 4[/tex] --- y intercept
By comparing the results of both functions, we have the following conclusion:
Functions A and B have the same slope (i.e. 2)
Function B has a greater y intercept (i.e. 4)
please help and dont get it wrong! thank you =)))
Answer:
tanong mo sa may mga nakaka alam niyan para walang mali, thanks
Susanna deposits $400 in a savings account with an interest rate of 3% compounded annually. What equation could Susanna use to calculate how many years it will take for the value of the account to reach $600?
Fill in the values of A, b, and c to write the equation modeling this situation.
Answer:
So, you have $400savings, 3%intrest rate, you'll need to have $400 and a 10%intrest rate.
I hope this helps
Step-by-step explanation:
The mass, m grams, of a radioactive substance, present at time t days after first being observed, is given by the formula m=24e^-0.02t. Find
(i) the value of m when t=30.
(ii) the value of t when the mass is half of its value at t=0.
(iii) the rate at which the mass is decreasing when t=50.
Answer:
(i) The value of m when t = 30 is 13.2
(ii) The value of t when the mass is half of its value at t=0 is 34.7
(iii) The rate of the mass when t=50 is -0.18
Step-by-step explanation:
(i) The m value when t = 30 is:
[tex] m = 24e^{-0.02t} = 24e^{-0.02*30} = 13.2 [/tex]
Then, the value of m when t = 30 is 13.2
(ii) The value of the mass when t=0 is:
[tex] m_{0} = 24e^{-0.02t} = 24e^{-0.02*0} = 24 [/tex]
Now, the value of t is:
[tex] ln(\frac{m_{0}/2}{24}) = -0.02t [/tex]
[tex] t = -\frac{ln(\frac{24}{2*24})}{0.02} = 34.7 [/tex]
Hence, the value of t when the mass is half of its value at t=0 is 34.7
(iii) Finally, the rate at which the mass is decreasing when t=50 is:
[tex] \frac{dm}{dt} = \frac{d}{dt}(24e^{-0.02t}) = 24(e^{-0.02t})*(-0.02) = -0.48* (e^{-0.02*50}) = -0.18 [/tex]
Therefore, the rate of the mass when t=50 is -0.18.
I hope it helps you!
2.
What is the difference between the lower quartile rainfall of Florida and the lower quartile rainfall of Pennsylvania?
Answer:
0.5 inches
Step-by-step explanation:
The lower quartile is the value on the left side of the box plot
lower quartile for Florida = 3.5 inches
lower quartile for Pennsylvania = 3 inches
difference = 3.5 - 3 = 0.5 inches
Craig has a rectengular deck that measures 799 inches and 245 inches premeter and if the addtional deck is 33 inches longer,what legnth would it be? Answer
Answer:
The length of the lights is 2088 inches
Step-by-step explanation:
The question is mixed up with another (See comment for correct question)
Given
[tex]Length = 799in[/tex]
[tex]Width = 245in[/tex]
Required
The perimeter of the deck (this is what the question implies)
The perimeter (P) is:
[tex]P = 2 * (Length + Width)[/tex]
[tex]P = 2 * (799 + 245)[/tex]
[tex]P = 2 * 1044[/tex]
[tex]P = 2088[/tex]
Solve for x. Round to the nearest tenth, if necessary.
what is the answer for 9x² + 3xy - 12x - 4y
Answer:
(3x + y)(3x - 4)
Step-by-step explanation:
9x² + 3xy - 12x - 4y =
There is no common factor in the 4 terms.
Since there are 4 terms, we try factoring by grouping.
Find a common factor in the first two terms, and find a common factor in the last two terms.
= 3x(3x + y) - 4(3x + y)
Now factor out the common factor 3x + y.
= (3x + y)(3x - 4)
NEED ANSWER ASAP GIVING BRAINLIEST
Answer:
(-1,1)
Step-by-step explanation:
(x,y), and X is one unit to the left (negative, or -), while Y is one unit up
increase 30 by 1/2
help please its urgent
Answer:
30.5 for decimal form and 30 1 /2 if mixed fraction needed
Using the segment addition postulate, which is true?
Answer:
I don't know your question sorry
What are the different forms of a quadratic function and what do the variables represent?
Answer:
Quadratic equations of second degree.
[tex]{ \bf{a {x}^{2} + bx + c = 0}}[/tex]
Quadratic equations of third degree.
[tex]{ \bf{a {x}^{3} + {bx}^{2} + cx + d = 0}}[/tex]
Sales tax is 6% using only one term write an expression to represent the discounted price of the phone including tax.
The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%
Answer:
0.848p
Step-by-step explanation:
Price of phone = p
Sales tax = 6%
Discount on sale = 20%
With a 20% discount, the discounted price of the phone will be :
100%p - 20%p = 80%p = 0.8p
The sales tax will increase the price thus ;
0.8p + 6% of 0.8p
0.8p + 0.06 * 0.8p
0.8p + 0.048p
The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p
5. If 40 of 160 moviegoers who watched a certain movie said that they would like to see the movie again, what is the probability that any moviegoer who saw the said movie would like to see it again? A. 0.25
B. 0.50
C. 0.75
D. 0.85
Answer: A. 0.25
Step-by-step explanation:
You need to divide 40 by 160 to calculate the percentage.
find the area of rectangular ground of length 25 square root 3 and breadth 20 square root 6 meter
Answer:
500 square root and 18 metres
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Complete this number sentence so that it illustrates the identity property of multiplication? ____ x ____ = 57
Answer:
57 x 1 =57
Step-by-step explanation:
Please remember identity property of multiplication says
An integer * 1 = the same integer
Using this property
57 x 1 = 57
WILL GIVE BRAINLIEST !!!
A hiker in Africa discovers a skull that contains 63% of its original amount of C-14. Find the age of the skull to the nearest year.
Answer:
3800 +/-10
Step-by-step explanation:
The death rate per 100,000 for lung cancer is 7 among non-smokers and 71 among smokers. The death rate per 100,000 for coronary thrombosis is 422 among non-smokers and 599 among smokers. The prevalence of smoking in the population is 55%. What is the relative risk of dying of coronary thrombosis for smokers versus nonsmokers
Answer:
1.4194
Step-by-step explanation:
death rate per 100000 for cancer
for non smokers, death rate = 7
for smokers death rate = 71
death rate per 100000 coronary thrombosis
for non smokers = 422
for smokers = 599
relative risk of dying from cancer
= number of smokers / number of non smokers
= 71/7
= 10.14
relative risk of dying from coronary thrombosis
= number of smokers/number of non smokers
= 599/422
= 1.419
the relative risk of dying of coronary thrombosis is 1.4194
= 10.14
An operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3 13 of his pay. What is his total pay per month?
Answer:
Below.
Step-by-step explanation:
(1/3)X = 849
x = 849*3 = 2547
The total pay per month of an operator is equal to $2547.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that an operator in the plant receives a monthly salary. His rent, which is $849, takes up exactly 1/3.
The total monthly salary will be calculated as,
(1/3)X = 849
X = 849 x 3
X= 2547
Therefore, the total pay per month of an operator is equal to $2547.
To know more about an expression follow
https://brainly.com/question/20912045
#SPJ5
A clothing store offers a free T- shirt when a customer spends $75 or more. Lyndon has already spent $36.95 which statement best represents all of the amounts he can spend to get a free T-shirt
simplify 9×(-5)×(-6)×3
Answer:
810
Step-by-step explanation:
(-5)×(-6) = 30
9*3 = 27
27*30 = 810
7x-3=5x+9 solve for x
Given :-
7x - 3 = 5x + 9To Find :-
The value of x.Solution :-
Taking the given equation ,
=> 7x -3 = 5x + 9
=> 7x - 5x = 9 + 3
=> 2x = 12
=> x = 12 ÷ 2
=> x = 6
Hence the required answer is 2 .
someone help me please with this algebra homework
Answer: second choice!
Step-by-step explanation:
How many solutions are there to the equation below? 9(x – 4) = 9x – 33
Answer:
There are 0 solutions
Step-by-step explanation:
9(×-4)=9×-33
9×-36=9×-33
9×-9×-36=-33
-36=-33 and it's impossible
so there's 0 solutions
ABCD is a rectangle. Find the length of segment AC
Answer:
52
Step-by-step explanation:
First, find x. As BE and DE will have the same measurements, you can set your formula up as
5x+11=3x+17
5x=3x+17-11
5x-2x=6
2x=6
x=6/2
x=3
CE and AE will also have the same value, now substitute 3 in place of x to get the value of segment BE
5x+11
5*3+11 = 26
This also means that CE = 26 and AE = 26
AC = CE + AE
AC = 52
2/5x - 1/5y = 98
2/7x - 1/14y = 55
If the ordered pair (x, y) satisfies the system of
equations shown above, what is the value of x?
Answer:
x = 140
Step-by-step explanation:
Given the equations
[tex]\frac{2}{5}[/tex] x - [tex]\frac{1}{5}[/tex] y = 98 ( multiply through by 5 to clear the fractions )
2x - y = 490 → (1)
[tex]\frac{2}{7}[/tex] x - [tex]\frac{1}{14}[/tex] y = 55 ( multiply through by 14 to clear the fractions )
4x - y = 770 → (2)
Subtract (1) from (2) term by term to eliminate y
2x + 0 = 280
2x = 280 ( divide both sides by 2 )
x = 140
Help me please ASAP thank you
Answer:
The first one: 3x+4=-2x-1
Step-by-step explanation:
3(-1)+4=1
-2(-1)-1=1
Emmy just bought a new laptop! She used a student discount code that took $50.75 off the original price. The discounted price of the laptop was $349.24. Let p represent the original price of the laptop. Which equation models the problem?
Answer:
can you show the equations?
Tap on the picture! Needing help ASAP please♥️
Step-by-step explanation:
everything can be found in the picture
what is the value of the determinant?
Answer:
The value of the determinant is 0.
Step-by-step explanation:
Since it is a 3 x 3 determinant, we can calculate its value by the Law of Sarrus:
[tex]Det = (11)\cdot (98)\cdot (26\cdot y) + (97)\cdot (24\cdot y) \cdot (13) + (22\cdot y) \cdot (12) \cdot (99) - (22\cdot y) \cdot (98) \cdot (13) - (97)\cdot (12) \cdot (26\cdot y) - (11) \cdot (24\cdot y) \cdot (99)[/tex]
[tex]Det = 28028\cdot y + 30264\cdot y + 26136\cdot y - 28028\cdot y - 30264\cdot y - 26136\cdot y[/tex]
[tex]Det = 0[/tex]
The value of the determinant is 0.
suppose 2 standard 6 sided dice are rolled at the same time. what is the smaple space for the multiplication of the values for the 2 die
Answer:
Step-by-step explanation:
Following is the sample space for all the possible outcomes when 2 standard 6-sided dice are rolled simultaneously:
1 2 3 4 5 6
1 1,1 1,2 1,3 1,4 1,5 1,6
2 2,1 2,2 2,3 2,4 2,5 2,6
3 3,1 3,2 3,4 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
5 5,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Therefore the sample space for the multiplication of the two values in each possible outcome:
elements of the set are:
1*1=1
1*2=2
1*3=3
...........
2*1=2
2*2=4
2*3=6
.............
so on...
Therefore the complete set:
S={ 1, 2, 3, 4, 5, 6, 2, 4, 6, 8, 10, 12, 3, 6, 9, 12, 15, 18, 4, 8, 12, 16, 20, 24, 5, 10, 15, 20, 25, 30, 6, 12, 18, 24, 30, 36 }
