Answer:
1/2x
Step-by-step explanation:
y = 2x
To find the inverse, exchange x and y
x = 2y
Solve for y
Divide each side by 2
x/2 = 2y/2
1/2x = y
The inverse is 1/2x
Let’s write the possible subsets of the following sets and list the proper subsets separately
(a)F={apple}
(b)A={1,2}
(c)E={a,b,c}
(d)T={1,2,3,4}
Step-by-step explanation:
(a) subsets are {apple}, { }
(b) subsets are {1}, {2}, {1,2}, { }
proper subsets are {1}, {2}
(c) subsets are
{a}, {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, { }
proper subsets are {a}, {b}, {c}, {a,b}, {a,c}, {b,c}
(d) subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4},{1,2,3,4},{ }
proper subsets are {1},{2},{3},{4},{1,2},{1,3},{1,4},{2,3},{2,4},{3,4},{1,2,3},{1,2,4},{1,3,4},{2,3,4}
Justin printed 44 posters to advertise the garage sale. He gave 11 friends the same number of posters to display around the neighborhood. How many posters did Justin give each friend?
Answer:
4
Step-by-step explanation:
44/11=4
Find the value of p (x) = 4x^3 - 7x^2 - 5x + 43 if x= -3
Answer:
[tex]p(x) = {4x}^{3} - {7x}^{2} - 5x + 43 \\ \\ p( - 3) = {4( - 3)}^{3} - {7( - 3)}^{2} - 5( - 3) + 43 \\ p( - 3) = - 113[/tex]
Answer:
- 113
Step-by-step explanation:
Substitute x = - 3 into p(x) and evaluate , that is
p(- 3) = 4(- 3)³ - 7(- 3)² - 5(- 3) + 43
= 4(- 27) - 7(9) + 15 + 43
= - 108 - 63 + 58
= - 171 + 58
= - 113
Prove or disprove that the vector V1=(1,2,3) v2=(1,1,1) and V3=(1,1,0) are linearly indepwndent in vector space R^2?
Answer:
The equations are linearly independent in vector space R²
Step-by-step explanation:
The given vectors are;
V₁ = (1, 2, 3), V₂ = (1, 1, 1), V₃ = (1, 1, 0)
For the vectors to be linearly dependent, we have;
a₁·V₁ + a₂·V₂ + a₃·V₃ = 0
Where;
a₁, a₂, and a₃ are not all zero
We get;
[tex]\left[\begin{array}{ccc}1&2&3\\1&1&1\\1&1&0\end{array} \right][/tex]
The vectors are linear dependent, if the following system of equation has a unique set of solution
x + y + z = 0...(1)
2·x + y + z = 0...(2)
3·x + y = 0...(3)
From equation (1), we have;
x = -(y + z)
∴ y + z = -x
Plugging in the value of y + z in equation (2) gives;
2·x + y + z = 0
2·x + y + z = 2·x - x = x = 0
x = 0
From equation (3), we get;
3·x + y = 0, where x = 0, therefore;
3 × 0 + y = 0
∴ y = 0
From equation (1), we have;
x + y + z = 0
Where, x = 0, and y = 0, we get;
0 + 0 + z = 0
z = 0
The vectors, V₁, V₂, and V₃ are linear independent in R³
In two dimensional space, we have
x + y = 0...(1)
2·x + y = 0...(2)
x + y = 0...(3)
Subtracting equation (1) from equation (2) gives;
2·x + y - (x + y) = 2·x - x + y - y = x = 0
∴ x = 0
From equation (1), we get
x + y = 0
∴ 0 + y = 0
∴ y = 0
Therefore, the equations are also linearly independent in vector space R²
Which statement correctly compares the two functions? A. They have the same end behavior as x approaches [infinity], but they have different x- and y-intercepts. B. They have the same x-intercept and the same end behavior as x approaches [infinity]. C. They have the same y-intercept and the same end behavior as x approaches [infinity]. D. They have the same x-intercept and the same y-intercept.
Answer:
A. They have the same end behavior as x approaches [Infinity], but they have different x- and y- intercepts.
Step-by-step explanation:
The x and y intercepts in mathematics can depict more than one function. They can have same end behavior as x approach. The x and y intercepts can be different for the two functions.
HELP ASAPPPP!!!!!!!
Find the y-intercept of the line y-7x= -3
Answer:
y - intercept = - 3
Step-by-step explanation:
The equation of a line is typically written as y=mx + b where m is the slope and b is the y-intercept.
Given :
y - 7x = - 3
y = 7x - 3 [ convert to standard line equation form ]
Therefore , y - intercept = - 3
Answer:
-3
This is the y intercept because when you re-arrange the equation to form y=mx+c, the y-intercept( c) is -3.
I need help with these 4
Answer:
dude if they have a pattern they are a function figure it out from there
Building A is 480 feet tall and building B is 654 feet tall. If the angle of depression form the top of building b to the top of building a is 42 degrees, how far apart are the buildings?
Answer:
129.3 feets
Step-by-step explanation:
Using the solution diagram attached below :
The difference in height of the two buildings :
Building B - Building A = (654 - 480) = 174 feets
Using trigonometry :
Cosθ = opposite / Adjacent
Cos 42 = d / 174
d = 174 * Cos 42
d = 129.307
d = 129.3 feets
Please help me with this
Answer:
(x+3)² = 64
Step-by-step explanation:
(x+a)² = b
so, let's see the details of the square calculation :
x² + 2ax + a² = b
so, now we have in our problem the specific equation
x² +3x - 69 = -3x - 14
now, let's group and combine all expressions of x
x² + 6x - 69 = -14
compare to the general square equation.
x² is in both expressions. nothing else needs to be done for that part.
2ax must be equal to 6x.
=> 2a = 6
a = 3
so, our general swathe square equation turns then into
(x+3)² = b. or
x² + 6x + 3² = b
x² + 6x + 9 = b
now bring this again into our specific equation and see how we have to transform the remaining numbers to keep the equation true, and to show us b :
x² + 6x + 9 - 78 = -14 (because 9-78 is again -69)
x² + 6x + 9 = 64
=> b = 64
so, the form (x+a)²=b for our specific equation is
(x+3)² = 64
Find the area of the figure
Will
Give
Brainlist
Answer: 52x+4
Step-by-step explanation: Do 16(2x-1)+4(5x+5) and get 52x+4.
State the amplitude and period of the sine function below
Answer:[tex]\color{iron}{}[/tex]
Amplitude:
[tex]\color{iron}{5π/4}[/tex]
Period:
[tex]\color{iron}{3.14 x (4)²}[/tex]
[tex]\color{iron}{3.14 x 16}[/tex]
[tex]\color{iron}{A=5.4π}[/tex]
calculate the area of the shape
Answer:
which shape tho and it's easy if there is more than one shape than find the formula for each shape and combine them!
Answer:
the formula for the rectangle is LxW or BxH (however your teacher taught it) which is just 4x15=60. The triangle is bxh÷2 which means 4x15=60 then 60÷2= 30. Add 30+60 which gives you Area=90formula for a circle πxr^2Solve for b in the literal equation y = 12x + 12b.
b=
Answer:
[tex]b = \frac{y-12x}{12}[/tex]
Step-by-step explanation:
subtract 12x from both sides, then divide by twelve.
Hace 5 años compramos una casa en 40.000, hoy la casa cuesta un 30% mas del precio original si podemos vender la xasa ¿Cuanto es lo mínimo que debemos cobrar por ella?
Respuesta:
52 000
Explicación paso a paso:
Dado :
Costo de la casa hace 5 años = costo original de la casa = 40,000
Aumento porcentual en el precio original hoy = 30%
El monto mínimo a cobrar por la casa:
Precio original * aumento porcentual del precio original
40.000 + (30% de 40.000)
40000 + (0,3 * 40000)
40000 + 12000
= 52 000
Monto a cobrar por la casa = 52,000
1. What is the value of the digit 7 in the number 176 354?
Answer:
7 thousand because in word it is 0me hundred and seventy six thousand three hundred and fifty four
Answer:
tens of thousands
Step-by-step explanation:
What expression is equivalent to (5z^2+3z+2)^2
?
Answer:
[tex]{ \tt{ {(5 {z}^{2} + 3z + 2)}^{2} }} \\ = (5 {z}^{2} + 3z + 2)(5 {z}^{2} + 3z + 2) \\ = (25 {z}^{4} + 30 {z}^{3} + 29 {z}^{2} + 12z + 4)[/tex]
(x – 3) (x + 6) ayudaaaaaaaaaaa
[tex]\longrightarrow{\green{ \: {x}^{2} + 3x - 18 }}[/tex]
[tex]\sf\purple{Step-by-step\:explanation:}[/tex]
[tex](x - 3)(x + 6)[/tex]
➼ [tex] \: x(x + 6) - 3(x + 6)[/tex]
➼ [tex] \: {x}^{2} + 6x - 3x - 18[/tex]
➼ [tex] \: {x}^{2} +3x - 18[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{☂}}}}}[/tex]
if bottled water costs 3.00 and a pack of 6 water's cost 4.50 which has the lower unit rate
Answer:
The pack of water has the lower unit rate.
Step-by-step explanation:
The unit rate per bottle for individual bottles is 3.00. The unit rate for the pack is 0.75 per bottle.
pl help me I will give u branist and also follow u and give u like plz help me
Answer:
Dividend
Step-by-step explanation:
Dividend is the profit earned from investing in stock
4. Which of the following is not true of saliva?
A. Cleanses the mouth
B. Dissolves certain foods
C. Moistens food and aids in swallowing
D. Contains enzymes that begin the breakdown of proteins
Answer: c
Step-by-step explanation:
ok so it doesn't contain moisten in food
The statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins.
What is Saliva?Saliva is a liquid that is made by the salivary glands in the mouth. Saliva contains the enzyme known as amylase which helps to break down starch. Saliva does not have enzymes that can break down proteins.
Other functions of Saliva are:
Aids in dissolving certain foodsAids swallowing and moistening of foodsPrevents bad breath and cleanses the mouth.Therefore, the statement that is not true about saliva is: D. contains enzymes that begin the breakdown of proteins.
Learn more about saliva on:
https://brainly.com/question/882651
Describe the graph of the proportional relationship between the two quantities and describe how the unit rate is represented on the graph. Bananas are $2.40 per pound.
a
The graph of y = 24x , which is a line passing through (0, 0) with a slope of 24; the slope 24 is the unit rate of each pound of bananas.
b
The graph of y = 2.4x , which is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
c
The graph of y = 5.8x , which is a line passing through (0, 0) with a slope of 5.8; the slope 5.8 is the unit rate of each pound of bananas.
d
The graph of y = 2.4 + x , which is a line passing through (0, 0) with a slope of 2.4; the slope -2.4 is the unit rate of each pound of bananas.
Given:
Bananas are $2.40 per pound.
To find:
The graph and unit rate on the graph.
Solution:
Let y be the total cost of x pounds of bananas.
Cost of 1 pound of banana = $2.40
Cost of x pound of bananas = $2.40x
So, the required equation for the given situation is:
[tex]y=2.4x[/tex]
The graph of [tex]y=2.4x[/tex] describes the proportional relationship between the two quantities.
The graph of [tex]y=2.4x[/tex] is a line passing through (0, 0) with a slope of 2.4; the slope 2.4 is the unit rate of each pound of bananas.
Therefore, the correct option is (b).
Answer:
a
Step-by-step explanation:
Can someone help me?It's urgent and thank you!
Answer:
11
Step-by-step explanation:
Solution for this problem is in this picture.
28. The edges of a cube are all increased by
10%. What is the percentage increase in the
volume?
Answer:
Percentage increase in volume will be
33.1
%
Step-by-step explanation:
Let the each edge of cube be
100
units.
Then its volume is
100
3
=
1000000
cubic units.
If each edge increases by
10
%
it becomes
110
units
and volume becomes
110
3
=
1331000
cubic units
Therefore increase in volume is
1331000
−
1000000
=
331000
cubic units
and percentage increase in volume is
331000
1000000
×
100
%
=
331
10
%
=
33.1
%
Solve -2x + 6 = -20. -7 -13 7 13
Answer:
13
Step-by-step explanation:
-2x + 6 = -20
Step 1 subtract 6 from both sides
6 - 6 cancels out
-20 - 6 = -26
We now have -2x = -26
Step 2 divide both sides by -2
-2x/-2 = x
-26/-2 = 13
We're left with x = 13
A chair rental company charges $100 for delivery plus $3 per
chair. You want to order 200 chairs for a concert. How much
will it cost?
O a. $300
O b. $600
O c. $700
O d. None of the above
above
Answer: 700
Step-by-step explanation: 3 x 200 + 100
Answer:
c.$700
Step-by-step explanation:
3x+100 3 per chair=3x plus the additional 100 dollar fee
3(200)+100
600+100
700
Which statement correctly compares the function shown on this graph with
the function y = 4x+ 2?
8
7
6
5
4
12
-5 -4 -3 -2 -1
1 2 3
4 5
-2
Answer:
B. The function shown on the graph has a smaller rate of change but a higher starting point
Step-by-step explanation:
Question options obtained from a similar question are;
A. The function shown on the graph has a greater rate of change and a higher starting point
B. The function shown on the graph has a smaller rate of change but a higher starting point
C. The function shown on the graph has a greater rate of change but a lower starting point
The function shown on the graph has a smaller rate of change but a higher starting point
Explanation;
The given function with which the graph is compared is y = 4·x + 2
From the given function, we have;
The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4
When y = 0, 4·x + 2 = 0,
∴ x = -2/4 = -0.5
The y-intercept is given when x = 0
∴ The y-intercept, y = 4 × 0 + 2 = 2
The starting point of the function, is (0, 2)
From the graph, we have;
The y-intercept = (0, 4)
Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)
The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)
The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3
Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4
When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.
if i made 11$ an hour working at publix how much would i have in 4 year's?
i need to know because me and my friend plan to work at publix as soon as we turn 14 and in 4 year's when we turn 18 we want to have enough to move into an apartment/house right away
Answer:
40*52*11*4 = $91,520
But I am skeptical that you would earn dollars where you would be working... I assume that you do not work in the is because 11 dollars per hour is written at $11/hr not 11$ /hr, thus I assume that you do not live anywhere that pays in U.S. dollars.
Step-by-step explanation:
Answer: $385440 if you work non stop, for every hour of those 4 years
Step-by-step explanation: 24 hours in a day, 24*365=8760
8760*4=35040 total hours.
Now if we multiply that by 11, because you get 11 dollars an hour,
35040*11= $385440 in total
But that's not counting items you may buy, and it also assumes you work every hour of every day. If you want a more realistic amount, you're gonna have to specify the hours that you work.
Use the Law of Sines. Find the indicated measure to the nearest tenth
In ADEF, mZF" - 43°, d - 16 mm, and f - 24rom. Find MZD.
a. 23.6
C. 27.0
b. 31.7
d. 19.50
here is the answer bae. Feel free to ask for more.
A square has an area of 36 ft^2. What is the perimeter of the square? Show or explain your
answer.
Answer:
24 ft
Step-by-step explanation:
The area of a square is given by
A = s^2
36 = s^2
Take the square root of each side
sqrt(36) = sqrt(s^2)
6 = s
The perimeter of a square is
P = 4s
P = 4(6)
P = 24
Increase £854 by 89%
Give your answer rounded to 2 DP
Answer:
[tex]{ \tt{ = (100 + 89)\%}} \\ = { \tt{(189\% \times £854)}} \\ = £1614.06[/tex]