Answers
Answer:
Option (B)
Step-by-step explanation:
Vertex of the given parabola → (0, 4)
Equation of the parabola with vertex (0, 4)
y = (x- 0)² + 4
y = x² + 4
Domain of this function is x < 2
Therefore, y = x² + 4 x < 2
Slope 'm' of the line passing through (4, 0) and (2, 2),
m = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{2-0}{2-4}\)
= -1
Equation of the line passing through (4, 0) and slope 'm' = -1
y - 0 = (-1)(x - 4)
y = -x + 4
Domain : x ≥ 2
Therefore, function will be, y = -x + 4 x ≥ 2
y = x² + 4 x < 2
-x + 4 x ≥ 2
Option (B) will be the answer.
Related Questions
Darella has 3 buckets of water on her back porch. Each bucket contains 1 3/4 gallons of water.
How many quarts of water are contained altogether in the three buckets? Enter the answer as a whole number or decimal in the box below.
Answers
Answer:
Step-by-step explanation:
34
Answer:
34
Step-by-step explanation:
List all of the subgroups of S4. Find each of the following sets. Are any of these sets subgroups of S4?(a) {σ ∈ S4 : σ(1) = 3}(b) {σ ∈ S4 : σ(2) = 2}
Answers
This set {σ ∈ S4 : σ(1) = 3} contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23) and {σ ∈ S4 : σ(2) = 2} this set contains the following elements of S4: (12), (21), (13)(24), (24)(13).
What are the subgroups of S4The group S4 is the symmetric group on 4 elements and has 24 elements. We can list all of its subgroups as follows:
The trivial subgroup {e}.Three subgroups isomorphic to the cyclic group of order 2: {e, (12)}, {e, (13)}, {e, (14)}.Four subgroups isomorphic to the cyclic group of order 3: {e, (123), (132)}, {e, (124), (142)}, {e, (134), (143)}, {e, (234), (243)}.Two subgroups isomorphic to the dihedral group of order 4: {e, (1234), (13)(24), (1432)}, {e, (1234), (14)(23), (1324)}.The alternating group A4 of even permutations: {e, (123), (132), (124), (142), (134), (143), (234), (243), (12)(34), (13)(24), (14)(23), (12)(34), (13)(24), (14)(23)}.Now, let's consider the sets (a) and (b) and see if they are subgroups of S4:
(a) {σ ∈ S4 : σ(1) = 3}
This set contains the following elements of S4: (13), (23), (34), (24), (14), (12)(34), (13)(24), (14)(23). We can check that this set is not a subgroup of S4 because it is not closed under composition. For example, (13)(14) = (134) is not in the set.
(b) {σ ∈ S4 : σ(2) = 2}
This set contains the following elements of S4: (12), (21), (13)(24), (24)(13). We can check that this set is a subgroup of S4. It is closed under composition, inverses, and contains the identity element e. Therefore, it is a subgroup of S4 and is isomorphic to the cyclic group of order 2.
Learn more on sets here;
https://brainly.com/question/13458417
#SPJ1
0
Divide:
78.84) 6575.256
Answers
Answer:
83.400
Step-by-step explanation:
thing is called math soup on the internet
Create an expression that has the same value as (6x-4) + (x + 5).
Write the correct numbers from the list in the blank boxes. Each number
may be used once, more than once, or not at all.
Answers
Answer: 7x + 1
Step-by-step explanation:
(6x-4)+(x+5)
Step 1: Remove Parentheses:
6x-4+x+5
Step 2: Combine Like Terms:
7x +1
There are 31 students in a class.
The only languages available for the class to study are French and Spanish.
17 students study French.
15 students study Spanish.
6 students study neither French nor Spanish,
Using a Venn diagram, or otherwise, work out how many students study only one
language.
Answers
Answer:
24 students where studying one language
Step-by-step explanation:
2(4+3x)=74 solve this and show work please help!
Answers
Answer:
x=11
Step-by-step explanation: ( not good at explaining) Hope this helps
Divide both sides of the equation by 2
4+3x=37
Subtract 4
3x=37-4
Subtract 37-4
3x=33
and divide by 3
x=11
12.6d07
Find the probability.
In one town, 47% of all voters are Democrats. If two voters are randomly selected for a
survey, find the probability that they are both Democrats.
Select one:
a. 0.221
b. 0.940
c. 0.470
d. 0.216
Answers
Answer:
A
Step-by-step explanation:
The fact you need to use is 47%
47/100 * 47/100 = 2209 / 10000 = 0.221
How many tiles can fit in a rectangular floor with length 14 ft and width 6 ft if the the square tiles has an edge of 3/4 ft.
Answers
A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.
Given:
Length of the rectangular floor = 14 ft
Width of the rectangular floor = 6 ft
Edge length of square tile = 3/4 ft
First, let's calculate the number of tiles that can fit horizontally:
Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft
Since we want a whole number of tiles, we need to round down or take the floor value:
Number of tiles horizontally = floor(56/3) = 18 tiles
Next, let's calculate the number of tiles that can fit vertically:
Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft
Again, we round down or take the floor value:
Number of tiles vertically = floor(24/3) = 8 tiles
To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:
Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles
Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.
for such more question on length
https://brainly.com/question/20339811
#SPJ8
Recommendations Skill plans Seventh grade > R. 18 Identify equivalent linear expressions Which expression is equivalent to -5(-20 + 1)? -2u - 5 100 - 5
Answers
-5(-2u+1)
by using the -5 to expand the bracket, we have the value below..
-5x-2u -5x1
10u - 5 Option B
Round 27,141 to the nearest ten
Answers
Plz help if you can help
Answers
Answer:
A) 2x = -20 and C) x = -10
Step-by-step explanation:
2/5x = -4
5 • 2/5x = 5(-4) Multiply terms to eliminate the denominator
2x = -20 Cancel the multiplied terms
2x/2 = -20/2 Divide
x = -10
Hope this helps
1) Pedro vai fazer um empréstimo de R$ 70.000,00 para uma reforma em seu estúdio de
fotografia e está analisando qual sistema de amortização vai utilizar, de acordo com as
propostas de uma agência financiadora, que trabalha com uma taxa de 0,85% ao mês. Ela
pretende saldar a dívida em 6 anos. Ela decidiu pelo Sistema Price, qual será o valor de cada
prestação? Qual será o valor amortizado na primeira prestação?
Answers
Answer:bb
Step-by-step explanation:
Find the interest earned on a $50,000 deposited for six years at 4 1/8% interest, compounded continuously. (please help me I have until this Thurs. to turn in answer please show me the steps ☺️ if possible thanks ❣️)
Answers
Answer:
$275.00
Step-by-step explanation:
I= P. × T
100×R (
P=Principal ($50,000.00)
T=Time. (6 years)
R=Rate. (1/8%)
l=lnterest. (?)
l= $50,000.00 × 6×1
100. × 8
l= $500.00 ×6
8
l= $62.50 ×6
l= $275.00
Therefore the interest $275.00
the interest earned on a $50,000 deposited for six years at 4 1/8% interest compounded continuously is $14040.97
Given :
Amount $50,000 deposited for six years at 4 1/8% interest, compounded continuously.
Compounded continuously formula is
\(A=Pe^{rt}\)
Where P is the initial amount deposited
'r' is the rate of interest
t is the time period
A is the amount after 't' years
Lets find out A using the given information
\(A=Pe^{rt}\\P=50000\\r=4\frac{1}{8} =\frac{33}{8} \\\)
Divide by 100 to remove %
\(r=0.04125\\t=6\)
Substitute all the values
\(A=50000e^{0.04125\cdot \:6}\\A=50000e^{0.2475}\\A=64040.96811.....\)
Now we find out the interest
I=A-P
\(Interest = 64040.96811-50000=14040.9681\)
Interest = $14040.97
Learn more : brainly.com/question/13560047
market researchers wanted to know whether the placement of a new product on a supermarket shelf significantly increases the percent of shoppers who will buy the product. at supermarket x, a new product was placed on the top shelf, and at supermarket y, the product was placed one shelf below the top shelf. to observe buying habits, the researchers selected a random sample of 364 shoppers at x and another random sample of 327 shoppers at y. of the selected shoppers at x, 15 bought the product, and of the selected shoppers at y, 19 bought the product. which of the following is the most appropriate method for analyzing the results?
Answers
The option that is most appropriate method for analyzing the results is a two-sample z-test for a difference in population proportions.
A Two-Sample Z-test is defined as a kind of test that is often employed so that it can make a comparison of the means of two samples to know and show if it is feasible that the product of the same population.
It is used to determine the difference between the two populations which is not statistically significant.
Finally, When a two-sample z-test is employed in the data, one can know and show the various difference that can be seen in population proportions.
To know more about the two-sample z-test:
https://brainly.com/question/21496603
#SPJ4
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
Answers
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
Read more on graphs:
https://brainly.com/question/19040584
#SPJ1
A person places $51200 in an investment account earning an annual rate of 5.4%, compounded continuously. Using the formula V = Pert, where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 6 years.
Answers
Answer:
7,078,912 cents
Step-by-step explanation:
Given the formula for calculating the value of the account in t years as;
V = Pe^rt
P is the principal initially invested
e is the base of a natural logarithm,
r is the rate of interest
t is the time
Given
P = $51200
r = 5.4% = 0.054
t = 6years
Substitute
V = 51200e^(0.054)(6)
V = 51200e^(0.324)
V = 51200(1.3826)
V = $70,789.12
V = 7,078,912 cents
hence the amount in the account after 6 years to the nearest cent is 7,078,912 cents
Answer:
Step-by-step explanation:
Calculate the slope of each line
Answers
Answer:
blue line: 20
black line: -20
Step-by-step explanation:
use rise (y) over run (x)! as the blue line goes from points (8,80) to (9,100) the difference in the x or run is 1 while the difference in the y or rise is 20 which makes it 20/1 = 20. for the black line, because it's going down it indicates it will be a negative slope, use the same trick as last time, our first point is (5,20) and our next point is (6,0) the difference in x is 1 and the difference in y is -20, so -20/1 = -20! hope this helped :-)
Help me I beg u! The pre-image coordinates of a triangle are J(-6,9), K(-6,4), and L(-3,4). The coordinates of the transformed triangle are J'(2,9), K'(2,4), and L'(5,4). What transformation has occurred? A. translation B. reflection C. dilation D. rotation Reset Next Question
Answers
Answer:
A. Translation
Step-by-step explanation:
Given
Preimage
\(J = (-6,9)\)
\(K = (-6,4)\)
\(L = (-3,4)\)
Image
\(J' = (2,9)\)
\(K' = (2,4)\)
\(L' = (5,4)\)
Required
Which transformation occurred
The transformation that occurs is translation because each of the preimage were translated or shifter right by 8 units.
The rule applied here is:
\((x,y)=>(x+8,y)\)
So, we have:
\(J = (-6,9)\) \(==> (-6+8,9) = (2,9)\)
\(K = (-6,4)\) \(==> (-6+8,4) = (2,4)\)
\(L = (-3,4)\) \(==> (-3+8,4) = (5,4)\)
Hence, the transformation is (a) Translation
What’s the distance between -12 and 3 on the real number line?
Answers
Answer:
15
Step-by-step explanation:
if u put the 12 plus 3 is 15 and if you put it on the number line and count that is what you would get counting one to the other from smallest to largest
Which function will cross the y-axis at (0, 7)?
Oy=x+7
Oy=x-7
0y=x+5
Oy=7x
Answers
The value of function which cross the y-axis at point (0, 7) will be;
⇒ y = x + 7
What is substitution method?To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.
Given that;
The point which cross the function = (0, 7)
Now,
Since, The point which cross the function = (0, 7)
Hence, The point must be satisfy the function.
By option (1);
⇒ y = x + 7
Put (x, y) = (0, 7)
⇒ 7 = 0 + 7
⇒ 7 = 7
Thus, The correct function which passes through the point (0, 7) is,
⇒ y = x + 7
Option (i) is true.
Learn more about the substitution method visit:
https://brainly.com/question/26094713
#SPJ1
2. When 3 is added to the difference between seven times a number and 8, the result is greater than 13
added to 6 times the number. Write an inequality to match the given situation.
A. 7x + 8-3 < 6x + 13
B. 6x + 13 > (7x - 8) + 3
C. (7x-8) + 3 > 6x + 13
D. 6x + 13 < 7x + 8-3
Answers
Answer:
C
Step-by-step explanation:
Find the value of the expression (-8.7) + 6
(-8.7) +6.3=
Answers
Answer:
21.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-8.7) + 6(8.7)+6=
-8.7+52.2+6=
43.5+6=
49.5
Devon has $900 in a savings account. The interest rate is 7% per year and is not
compounded. How much interest will she earn in 2 years?
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount),
is the interest rate expressed as a decimal, and t is the time in years.
=
Answers
Answer:
$ 12600
Step-by-step explanation:
According to the question, you have to find the simple interest that Devon earn after 2 years,
You can use this formula to find that.
I = P r tHere,
P = principal ( $ 900)
r = rate ( 7%)
t = time ( 2 years)
Let us solve now.
I = p × r × t
= $ 900 × 7% × 2 years
= 6300 × 2
= $ 12600
Hope this helps you.
Let me know if you have any other questions :-)
is 9x^2-30x+25 a perfect square trinomial
Answers
Answer:
9x²-30x+25=(3x-5)²
Step-by-step explanation:
This is a perfect square trinomial.
In general (a±b)² = a²± 2ab +b²
Notice that both 9x² = (3)² and 25 = 5² are perfect squares, so the only question is whether the middle term matches when you square (3x-5), the minus sign being chosen to at result in a negative coefficient for the middle term .
(3x-5)² = (3x)² - 2(3x)(5) +5² = 9x² - 30x + 25
I hope this helps you
A six-sided die is rolled at the same time as a coin is flipped
a. Are the events independent or dependent?
b. What is the probability of rolling a 4, 5, or 6 AND getting “tails" ?
Answers
Answer:
A. Independent
B. 50%
Step-by-step explanation:
Help please I’m not good at math
Answers
Answer:
1,680
Step-by-step explanation:
We know a hummingbird beats its wings 420 times in 30 seconds. To find the unit rate, divide 420 by 30.
420/30
42/3
14 beats/second
Now we know a hummingbird beats its wings 14 times in 1 second. Two minutes equals 120 seconds. Multiply 14 by 120 to get the answer here.
14 * 120
(14 * 12) * 10
168 * 10
1,680 beats
Answer:
1680
Step-by-step explanation:
From the table, we can see that per each 30 seconds, a mocking bird flaps its wings 420 times.
Each minute contains 60 seconds. Therefore, in order to calculate the number of times a mockingbird flaps its wings in 2 minutes, we can
60 seconds x 2 minutes = 120
Then, we can divide this number by 30 to figure out how many times we need to multiply 420 to get our answer.
120/30 = 4
Therefore,
420 x 4 = 1680
What is 5+6/7 pls give me an answer now pls
Answers
Which is approximately 5.86 in decimal
Jake is paid a salary of $130 a week plus 5.75% commission on his total sales.1) Write an equation for P. Jake's pay for one week, in terms of T, his weekly total sales. 2) Use this equation to determine his weekly total sales, if it's pay for one week is $604.95
Answers
Linear Modeling
Some situations in life can be mathematically modeled as lines. The equation of a line in slope-intercept form is:
y = mx + b
Where x and y are the independent and dependent variables respectively, and m and b are constants.
Here we are dealing with a situation where the dependent variable is called P, the total of Jake's weekly pay in a week.
1) We are told that the total payment depends on the total sales on a 5.75% commission and a fixed amount of $130.
If we call T to the total sales, then the variable part of Jake's payment is 0.0575T. Recall we must divide by 100 any number given in %.
The linear equation that models the payment for Jake is:
P = 0.0575T + 130
2) We can use the model above to find the value of T, knowing that Jake was paid $604.95 for a week. We need to solve the equation:
604.95 = 0.0575T + 130
Subtracting 130:
604.95 - 130 = 0.0575T = 474.95
Dividing by 0.0575:
T = 474.95 / 0.0575
T = $8260
That week's total sales were $8260
Megan had $235.17 in her bank account. She withdrew $77.98 from the account to spend
on clothing. How much money does she have left in her bank account now?
Answers
Answer: 157.19
Step-by-step explanation:
Implicitly differentiate xy + 2x +3x² = 4 with respect to x.
Need real answer please
Answers
Work Shown:
xy + 2x + 3x^2 = 4
d/dx[ xy + 2x + 3x^2 ] = d/dx[4]
d/dx[ xy ] + d/dx[ 2x ] + d/dx[ 3x^2 ] = d/dx[4]
y + xy' + 2 + 6x = 0
xy' = -6x-y-2
y' = (-6x-y-2)/x
y' = (-6x-y-2)/x