Answers
Answer:
0
Step-by-step explanation:
To find the inverse, or [tex]G^{-1}[/tex] , we must switch G(x) and x, and then make G(x) [tex]G^{-1} (x)[/tex] as we are finding the inverse, and G(x) represents the starting equation.
[tex]x = 3G^{-1} (x)+1\\x -1 = 3G^{-1} (x)\\\\\frac{x-1}{3} = G^{-1} (x)\\[/tex]
The steps used here are that we firt subtracted 1 from both sides, and then divided 3 from both sides.
To find [tex]G^{-1} (1)[/tex], we simply plug 1 into x in the inverse function, so our answer is [tex]\frac{1-1}{3} =0[/tex]
Related Questions
slope for (0,0) and (3,30)
Answers
Slope is the change in y over the change in x:
Slope = (30-0)/(3-0)
Slope = 30/3
Slope = 10
Answer:
The formula for slope is (y2-y1)/(x2-x1)
Hence, the answer will be:
(30-0)/(3-0)
=30/3
=10
28. An aquarium is 7 feet long, 4 feet wide, and 4.8 feet deep. What is the volume of the tank?
Answers
Answer:
V =134.4 ft^3
Step-by-step explanation:
Volume is
V = l*w*h
V = 7*4*4.8
V =134.4 ft^3
En una panadería se dispone diariamente de 80 kg de masa y de 24 kg de frutas (secas y confitadas) para preparar dos tipos de panetones: especial y Premium, según estos requerimientos: Panetón especial: 1kg de masa y 200 g de frutas Panetón Premium: 1kg de masa y 400 g de frutas Si el panetón especial se vende a $3 y el Premium a $4, ¿Cuántos panetones especiales y Premium deben hacerse para obtener el máximo ingreso?
Answers
Answer:
x₁ = 40 x₂ = 40 z (max) = 280
Step-by-step explanation:
El presente es un problema de programación lineal, este problema se resuelve por el procedimiento o Método Simplex, con programas de resolución en línea. Como en este caso se trata de que se venden unidades enteras ( es decir las variables son enteros reales) entonces hay que imponer esa condición a nivel de la solución
Para preparar:
Masa Kg Frutas Kg Precio de venta $
Panetón tipo esp. x₁ 1 0.2 3
Panetón tipo Prem x₂ 1 0.4 4
Disponibilidad 80 24
Función Objetiva
z = 3*x₁ + 4*x₂ a maximizar
Sujeto a:
Restricciones o condicionantes:
1.- Cantidad de masa 80 Kgs
1*x₁ + 1*x₂ ≤ 80
2.- Cantidad de frutas 24 kgs.
0.2*x₁ + 0.4*x₂ ≤ 24
x₁ ≥ 0 x₂ ≥0 deben ser enteros
El modelo es:
z = 3*x₁ + 4*x₂ a maximizar
Sujeto a:
1*x₁ + 1*x₂ ≤ 80
0.2*x₁ + 0.4*x₂ ≤ 24
x₁ ≥ 0 x₂ ≥0 deben ser enteros
Usando Atomzmath on-line, después de 6 iteracciones, la solución óptima es:
x₁ = 40 x₂ = 40 z (max) = 280
The following equation 3(2x - 1) = 6(1 + 1) has infinite solutions True False
Answers
Answer:
False
Step-by-step explanation:
3(2x - 1) = 6(1 + 1)
Distribute
6x -3 = 6(2)
6x -3 = 12
Add 3 to each side
6x =15
x = 15/6
There is one solution
Answer:
False.
Step-by-step explanation:
3(2x - 1) = 6 (1+1)
3*2x - 3*1 = 6*2
6x - 3 = 12
Add 3 to both side
6x = 12+ 3
6x = 15
Divide both sides by 6
x = 15/6
x = 2.5
This equation has one solution
Kofi, Kojo and Ama shared GH¢ 480,000.00 in the ratio 3:5:4. How much did Ama receive?
A. GH¢ 160,000.00
B. GH¢ 200,000.00
C. GH¢ 218,181.81
D. GH¢ 342,859.14
Answers
Answer:
160000
Step-by-step explanation:
Let ratio be 3x,5x,4x
Sum of ratios 3x+5x+4x=12x
Share of Kofi:-
(3/12)x480000=120000
Share of Kojo:-
(5/12)x480000=200000
Share of Ama:-
(4/12)x480000=160000
I need help...........
Answers
Answer:
4
Step-by-step explanation:
Break down the shape into a rectangle and a triangle
To find the base of the triangle subtract
(3x-1)-(x+1)= 2x-2
which means the area of the triangle is
.5(2x-2)(x-1)= x²-2x+1
Let's then find the area of the rectangle
(x+1)(x-1)= x²-1
Take the sum and set this equal to 40
(x²-2x+1)+(x²-1)=40
simplify...
2x²-2x-40=0
x²-x-20=0
(x-5)(x+4)=0
Reject the negative answer and get x=5
Then it's just a matter of plugging in x=5 for the height (x-1)
5-1=4 which is the final answer
Answer:
4 cm.
Step-by-step explanation:
Area formulas:
A(Rectangle) = bh
A(Triangle) = 1/2bh
A(Trapezium) = A(Rectangle) + A(Triangle)
Use the information given and substitute the values to solve for the missing height:
A(Rectangle) + A(Triangle) = A(Trapezium)
bh + 1/2bh = 40
(x + 1)(x - 1) + 1/2(2x - 2)(x - 1) = 40
x² - 1 + x² - 2x + 1 = 40
2x² - 2x = 40
2x² - 2x - 40 = 0
Use Quadratic Formula to solve for x:
a = 2, b = -2, c = -40
x = (-b ± √(b² - 4ac))/2a
x = (-(-2) ± √((-2)² - 4(2)(-40)))/2(2)
x = (2 ± 18)/4
x = 5 and x = -4
Since we cannot have a negative height, we use x = 5:
h = (5) - 1 = 4
Therefore, the height of the trapezium is 4 cm.
Supriya is decorating her bedroom. She plans to hang strings of twinkle lights all the way around her walls. She measures the walls and finds she will need 36meters of lights.(area,lenght,or perimeter)
Answers
Answer:
Perimeter
Step-by-step explanation:
Required
What does 36m represent?
From the question, we understand that the 36m is the measurement of the wall.
This, in other words, means the perimeter of the wall.
Hence, Supriya measured the perimeter
Which graphs are inverses of one another?
Graph A and B
Graph A and C
Graph B and C
none of the graphs shown
Answers
Well... kinda need those graphs to be shown.
Answer:
A and C
Step-by-step explanation:
Pls help
An airplane can Seat up to 175 passengers the airplane has already sold 87 tickets for a flight on the airplane which graph represents the solution to the inequality that find a number of tickets the air line can still sell
Answers
Answer:
the third graph is the answer
Answer:
It's A.
Step-by-step explanation:
Since 175-87 is 88, there is 88 or less available tickets left. So it is A.
Hope this helps.
In parallelogram EFGH if m∡GHE=160 find ∡m∡EFG
Answers
Answer:
160°
Step-by-step explanation:
since it is a parallelogram it's opposite angles must be equal . So,
angle GHE = angle EFG
160 degree = angle EFG
Increase £854 by 89%
Give your answer rounded to 2 DP
Answers
Answer:
[tex]{ \tt{ = (100 + 89)\%}} \\ = { \tt{(189\% \times £854)}} \\ = £1614.06[/tex]
Argent deadline is tomorrow a²-(b-c)²
Answers
Answer:
[tex]a^2 - ( b- c)^2 = a^ 2- b^2 - c^2 +2 bc[/tex]
Step-by-step explanation:
[tex]Using \ (x - y)^2 = x^2 - 2xy + y^2[/tex]
[tex]a^2 - (b - c)^2 = a^2 - ( b^2 - 2bc + c^2 ) = a^2 - b^2 + 2bc - c^2 = a^2 - b^2 - c^2 + 2bc[/tex]
If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2
Answers
Answer:
y = 8(2) = 16
Step-by-step explanation:
"If y varies directly as x," then y = kx, where k is the constant of proportionality.
Here, when x = 6, y = 48. This data lets us calculate k:
48 = k*6, or k = 8.
Then the pertinent equation is y = 8x.
If x = 2, y = 8(2) = 16
find the radius of each circle. use 3.14for the value of Pie. round your answer to
the nearest tenth. If the
circumference is 54km then what is the radius?
Answers
9514 1404 393
Answer:
8.6 km
Step-by-step explanation:
The circumference of a circle is given in terms of its radius as ...
C = 2πr
Then the radius can be found from the circumference using ...
r = C/(2π)
Filling in the given values, we find the radius to be ...
r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km
The radius is about 8.6 km.
Math tough, who agrees to this statement
Answers
Answer:
$1160
Step-by-step explanation:
And yes I agree to this statement
Triangle HIJ is similar to triangle KLM. Find the measure of side MK. Round your answer to the nearest tenth.
Answers
Answer:
[tex]MK\approx 87.7[/tex]
Step-by-step explanation:
By definition, similar polygons have corresponding sides in a constant proportion. Therefore, we can set up the following proportion (ratio of corresponding sides) to solve for [tex]MK[/tex]:
[tex]\frac{20}{13}=\frac{MK}{57},\\MK=\frac{57\cdot 20}{13}\approx \boxed{87.7}[/tex]
Answer:
87.7
Step-by-step explanation:
Like stated previously similar triangle have side lengths with common ratios
*Create a proportionality to solve for MK*
57/13 = MK / 20
Now solve for MK
Multiply each side by 20
57/13 * 20 = 87.7 ( rounded )
MK/20 * 20 = MK
We're left with MK = 87.7
If f(x) = x -5, what is f(2)
Answers
f(2) = -3
Step-by-step explanation:
f(x) = x - 5
f(2)) = (2) - 5 = -3
PERFORMANCE TASK : “TRANSVERSAL CITY MAP”
This project will help you to demonstrate your knowledge of parallel lines, transversals and the angles that are created by them. You will be designing a city map using the guidelines listed below. Your map must be drawn on construction paper or poster board. Use a ruler to make your streets straight! Have a title for your map, and make it neat and organized! You will be graded on accuracy, creativity and neatness.
Guidelines:
1) There must be a title for your map.
2) Your city must have three streets that are parallel to each other and one street that intersects all three of the parallel streets. You must name all of these streets.
3) Your city has a hospital that is alternate exterior to the school that is in your city. Draw and name the hospital and the school.
4) The school and the drugstore are at corresponding locations. Draw and name the drugstore.
5) The drugstore and the pet shop are at vertical locations. Draw and name the pet shop.
6) The pet shop and the gas station are at alternate interior locations. Draw and name the gas station.
7) The hospital and the park are at same side exterior locations. Draw and name the park.
8) The gas station and the grocery store are at same side interior locations. Draw and name the grocery store.
9) The grocery store and the nail salon are at vertical locations. Draw and name the salon.
10) The nail salon and bank are at corresponding locations. Draw Target.
11) The bank and a fast food restaurant are at same side interior locations. Draw and name the fast food restaurant.
12) Your city has a mall that is in a corresponding location to the bookstore that is in your city. Draw and name the mall and the bookstore. (If you did all of the others correctly, then the bookstore and the mall only have one place to be located)
Answers
In constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.
(See attachment).
Recall:
Parallel lines are straight lines that do not meet each other.Transversal line is a that run through two or more straight lines that are parallel.Special angles are formed when transversal intersects parallel lines, which are: corresponding angles, same-side interior angles, same-side exterior angles, alternate exterior and alternate interior angles, and vertical angles.Using the knowledge of all these, an map named, "California City Map" has been drawn as shown in the image attached below.
The details are as follows:
1. Title for the map is:
California City Map.2. The three streets that are parallel are:
Adams BoulevardBeverly DriveCarroll AvenueThe street (transversal) that intersects the three is:
Darlin Way3. St. Michael Hospital is alternate exterior to Baptist Model School
4. Baptist Model School and Living Well Drug Store are in corresponding locations to each other.
5. Living Well Drug Store and Vik Pet Store are at vertical locations.
6. Vik Pet Store and Elite Gas-station are at alternate interior locations.
7. St. Michael Hospital and Livingstone Park are at same-side exterior locations.
8. Elite Gas-station and Richie Grocery Store are at same-side interior locations.
9. Richie Grocery Store and Beautyjay Nail salon are at vertical locations.
10. Beautyjay Nail salon and Retro Bank Plc are at corresponding locations.
11. Retro Bank Plc and Tessy's Fast Food Restaurant are at same-side interior locations.
12. California City Mall and Remis Bookstore are at corresponding locations.
In summary, in constructing a transversal city map by applying the knowledge of transversal and parallel lines, a map named California City Map has been drawn as shown in the image attached below.
(See attachment).
Learn more here:
https://brainly.com/question/13207832
can someone walk me through this
3 = -2 |.25s - 5| +3
Answers
Answer:
s = 20
Step-by-step explanation:
Given
3 = - 2 | 0.25s - 5 | + 3 ( subtract 3 from both sides )
0 = - 2 | 0.25s - 5 | ( divide both sides by - 2 )
0 = | 0.25s - 5 | , then
0.25s - 5 = 0 ( add 5 to both sides )
0.25s = 5 ( divide both sides by 0.25 )
s = 20
Answer: S=20
Step-by-step explanation:
Data: 3=-2(0.25s-5)+3
S=?
Step one, Multiply .25s and -5 by -2
-2x0.25s=-0.50s
-2x-5=10
Reason: When something is in parenthesis, that is the first thing you evaluate, and since -2 is right next to the parenthesis, you multiply both numbers by -2 to get -.50s and 10
Step two, add like terms
3=-.50s+10+3=3=-.50s+13
Reason: When there are like terms(terms with the same variable or same exponent, etc.) You have to add them or else evaluating things will get harder to do as you go on, in this case, the two like terms(3 and 10) added together get 13.
Step three, subtract 13 on both sides
3-13=-.50s+13-13
-10=-.50s
Reason: Because the point of this is to single out 's', you have to get rid of the 13 and since it's a positive 13, you add it to a negative to cancel it out, but what you do to one side you do to the other so you subtract 13 from 3 to get negative 10.
Step four, divide -.50 on both sides
-10/-.50=-.50s/-.50
S=20
Reason: Since you have to isolate 's' and it's right next to -.50(which means multiplication), you have to divide it to get rid of it. Since what you do to one side you do to the other, you divide -10 by -.50 to get 20=S
That's how you get the answer
I hope this helps!
Suppose that the regression equation y = 16.99 + 0.32 x1 + 0.41 x2 + 5.31 x3 predicts an adult's height (y) given the individual's mother's height (x1), his or her father's height (x2), and whether the individual is male (x3 = 1) or female (x3 = 0). All heights are measured in inches. In this equation, the coefficient of ______ means that ______. x1; if two individuals have mothers whose heights differ by 0.32 inch, then the individuals' heights will differ by 1 inch. x1; if two individuals have mothers whose heights differ by 0.5 inch, then the individuals' heights will differ by 0.32 inch. x2; if two individuals have fathers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x2; if two individuals have mothers whose heights differ by 1 inch, then the individuals' heights will differ by 0.41 inches. x3; a brother is expected to be 5.31 inches taller than his sister
Answers
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given equation:
[tex]\to y = 16.99 + 0.32 x_1 + 0.41 x_2 + 5.31 x_3[/tex]
Predicts a height [tex](y)[/tex]of adults provided the height of the mother [tex](x_1)[/tex], the height [tex](x_2)[/tex] of a father but if the person is male [tex](x_3 = 1)[/tex] or female [tex](x_3 = 0)[/tex].
The factor[tex]x_1 = 0.32[/tex] is an increase in the kid's length even as the mother increases by one inch.
Likewise, the coefficient [tex]x_2 = 0.42[/tex] was its rise in child length as just a result of the increase of one inch in dad.
The coefficient [tex]x_3 = 5.31[/tex] is an increase of a child's height cos of the male as opposed to that same female.
13.
Shown is an L shape.
3x
2y
13y
X
All measurements are in centimetres.
Find an expression for the area of the L shape.
Answers
Answer: 24 yards
Step-by-step explanation:
Which similarity postulate or theorem can be used to verify that the two triangles shown below are similar?
Answers
Answer:
C. Similarity cannot be determined
Step-by-step explanation:
Two triangles are considered similar when all three angles are equal and also when the ratio of their corresponding side lengths are equal.
Since we only know the angles of the two triangles given and we are not given the side lengths to determine if their corresponding ratio is the same, we therefore cannot determine if the two triangles are similar in anyway.
Picture is attached, please explain answer
Answers
Answer:
20 Yellow Counters
Step-by-step explanation:
You can see the clues with how the ratio changes.
To change from (1:4) => (5:1) is not because any were taken away from the value that is the Yellow counters, it is purely because the amount added to the blue counters was so large that they simply simplified the ratio.
The real value of the ratio if reverted back to it's original state would be:
=> (20:4)
95 blue counters is equivalent to 19 in the ratio. We know this because it increased from 1 to 20.
95/19 => 5
Each Ratio in the original one presented is equal to 5.
5 * 4 = 20 Yellow Counters
Answer:
sorry I don't Know ·ω·
Step-by-step explanation:
I NEED HELP PLZ it is very much appreciated
Answers
Answer:
C
Step-by-step explanation:
average, average, average
if there is one dot to the right that is far away and 3 dots to the left that are close to the like, estimated distance of the right dot would be 3 and the total distance sum of each dot to the left is 3, so the line would be between the 1 right dot and 3 left dots
Answer:
D
Step-by-step explanation:
D has three dots near to the line
A general formula for a parabola is y2=4px.
What is the value of p in the equation y2=−4x?
P=−4
P=−1
P=1
P=4
Answers
Answer:
P = -1
Step-by-step explanation:
-1 x 4 = -4
The solution is : p= -1, is the value of p in the equation y^2=−4x.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
Explanation:
We have been given parabola along positive side of x-axis with equation
y² = 4px
and, y² = -4x
after equating the values of y² we will get
4px =-4x
Divide each term by x on both left hand side and right hand side we will get
4p= -4
Now, divide each term by 4 on both left hand side and right hand side we will get the final result p=-1
Hence, The solution is : p= -1, is the value of p in the equation y^2=−4x.
To learn more on equation click:
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sum of ages two ages is 25.in five years time Abigails age is twice the age of theJohn.
how old is abigail
how old is John
Answers
I just took the test
hey !! solve it
[tex] \sqrt{44 \times 11} [/tex]
Answers
Step-by-step explanation:
✓44×11
=✓2²×11²
=22
!!!!????!!!!!!
Answer:
22
Step-by-step explanation:
First, multiply 11 and 44
11 × 44 = 484
[tex]\sqrt{484}[/tex] = 22
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Have a great summer :)
Gretchen make a paper cone to hold a gift for a friend the paper cone was 10 inches high and had a radius of 4 inches find the volume of the paper cone to the nearest tenth use 3.14 for pi
Answers
Answer: [tex]167.5\ in.^3[/tex]
Step-by-step explanation:
Given
Height of paper cone [tex]h=10\ in.[/tex]
Radius of cone [tex]r=4\ in.[/tex]
The volume of the cone is given by
[tex]\Rightarrow V=\dfrac{1}{3}\pi r^2h[/tex]
Insert the values
[tex]\Rightarrow V=\dfrac{1}{3}\times 3.14\times 4^2\times 10\\\\\Rightarrow V=167.5\ in.^3[/tex]
Thus, the volume of the cone is [tex]167.5\ in.^3[/tex]
1850=12
2918=20
5044 = ?
7573=56
Answers
Answer:
1623 jajaggkcgaiahvs Kah kaye kaha
I need help with this question it’s due today!
Answers
Answer:
15
Step-by-step explanation:
4:5
4 x 3 = 12 girls
5 x 3 = 15 boys
12:15
Answer:
D. 15
Step-by-step explanation:
4:5
4/5×3/3=12/15
12/15.....12 girls, 15 boys
:) ur welcome
