The correct answer is f^-1(x)=1/2x+2.
1. Substitute y for f(x). ( y=2x+4 )
2. Interchange the variables x and y. ( x=2y-4 )
3. Swap the sides. ( 2y-4=x )
4. Move the constant to the right. ( 2y=x+4 )
5. Divide both sides by 2. ( y=1/2x+2 )
6. Use substitution to substitute f^-1(x) for y.
Thus the inverse is f^-1(x)=1/2x+2
The cost of a pencil box is $2.50. The function f(x) = 2.5x gives the cost of x pencil boxes. Identify the domain, range, and graph of this function.
Answer: hey want to talk
Step-by-step explanation:
r minus the sum of 4 and p equals
Answer:
r - (4 + p)
Step-by-step explanation:
{that's how you write it if that's what you are asking}
Should I do light pink nails or light blue nails???
Hurry I Need an answer
Answer:
blue!!
Step-by-step explanation:
<3
What is x+4=10 answer fast
Answer:
x=6
Step-by-step explanation:
10-4=6
Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?
Answer:
150 I think
Step-by-step explanation:
Need help now! fist gets brainlest
Answer:
x=88
Step-by-step explanation:
180-48-44=88
88+48+44=180
I have no idea :( Please help
Answer:
59; 44 & 68; 22.5; 44Step-by-step explanation:
10.
x + 57 = 116x = 116 - 57 x = 5911.
y = 180 - 112 = 68x= 180 - 2*68 = 4412.
4x + 10 = 180 - 2*404x + 10 = 1004x = 90x = 90/4x = 22.513.
SG = HT/2SG = 88/2 = 44Robyn wants to place a television set 8ft from her lounge chair. Can the other two distances shown be 5ft and 9ft? Identify the answer with the correct explanation.
Answer:
Yes, the sum of any two lengths is greater than the third length
Step-by-step explanation:
Yes, the sum of any two lengths is greater than the third length. Then the correct option is B.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
Any two parts of a triangle can be added together to have a length larger than the third side.
Robyn needs to put a TV 8ft from her parlor seat.
Applying the Triangle Inequality Theorem
1) 9 + 5 > 8 which is ok
2) 8 + 5 > 9 which is ok
3) 8 + 9 > 5 which is ok
Yes, the sum of any two lengths is greater than the third length. Then the correct option is B.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ5
The complete question is attached below.
5/6+4(3/4g-6) in standard form
Answer:
3g- 139/6
Step-by-step explanation:
Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel. Transversal t crosses lines c, d, e, f forming 16 angles. Clockwise from top left, the angles formed with line c are blank, blank, blank, 114 degrees; with line d are blank, blank, 68 degrees, blank; with line e are blank, 112 degrees, blank, blank; with line f are blank, blank, 66 degrees, blank. Which streets are parallel? Check all that apply. c || d c || e c || f d || e d || f e || f
Answer:
The answer is "c || f and d || e".
Step-by-step explanation:
Its acute collision angle between e and t is:
[tex]\to 180^{\circ}- 112^{\circ} = 68^{\circ}[/tex]
Its angle refers to the acute corner of d, so d and e are parallel to its extreme angle of crossroads between c and t is:
[tex]\to 180^{\circ} -114^{\circ} = 66^{\circ}[/tex]
Its angle is identical to the acute angle of, f so, that c and f are parallel. [tex]d | |e, c || f[/tex]
All "corresponding" to extreme angles at crossings of t. Thus the associated points are connected to their congruence.
Answer:
C AND D just took it
Step-by-step explanation:
SUBB TO JAYLONSWORLD_YT ON YT
94 = y/4 - 18
Im stuck
Answer:
y= 448
Step-by-step explanation:
PLEASE MARK BRAINLIEST1.) 94=y/4-18
94+18=[tex]\frac{y}{4}[/tex]-18+18
2.) simplify
add the numbers112=[tex]\frac{y}{4}[/tex]
3.) Multiply all terms by the same value to eliminate fraction denominators.
112=[tex]\frac{y}{4}[/tex]
4 · 112=4 · [tex]\frac{y}{4}[/tex]
4.) Multiply the numbers
Cancel multiplied terms that are in the denominator448=y
Solution
448=y
Answer correctly please !!!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!!!!!!
Terry spent $33.25 to have 475 fliers printed for his business. What was the cost of a single flier?
Answer:
Step-by-step explanation:
divide 33.25/475 and you'll get 7 cents per flier
apples costs $1.98 per pound, how much does 1.5 pounds of apples cost
Answer:
$2.97
Step-by-step explanation:
Answer:
0.75 apples about 3/4 ig
Step-by-step explanation:
it's just u will divide 1.5 to 1.98 to get how many apples
6. Triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form
Triangle
ABC: Which transformation can be used to map each point (.y) on Triangle ABC
to its corresponding point on Triangle A B C?
A
G.y) - (y + 3, x)
B
6. y) - (x+3)
(x, y) - (y+3.x)
D. (.y)-( y. x+3)
C
Given:
Consider triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C'.
To find:
The transformation that can be used to map each point (x,y) on Triangle ABC to its corresponding point on Triangle A'B'C'.
Solution:
If a figure rotated 90 degrees counterclockwise, then
[tex](x,y)\to (-y,x)[/tex]
[tex]P(x,y)\to P_1(-y,x)[/tex]
If a figure translated 3 units up, then
[tex](x,y)\to (x,y+3)[/tex]
[tex]P_1(-y,x)\to P'(-y,x+3)[/tex]
If triangle ABC is rotated 90 degrees counterclockwise and then translated 3 units up to form triangle A'B'C', then the rule of transformation is
[tex](x,y)\to (-y,x+3)[/tex]
Therefore, the required rule of transformation is [tex](x,y)\to (-y,x+3)[/tex].
Note: Option are not in proper form.
All the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.
How does rotation by 90 degrees changes coordinates of a point if rotation is with respect to origin?Let the point be having coordinates (x,y).
Case 1: If the point is in first quadrant:Subcase: Clockwise rotation:
Then (x,y) → (x, -y)
Subcase: Counterclockwise rotation:
Then (x,y) → (-x, y)
Case 2: If the point is in second quadrant:Subcase: Clockwise rotation:
Then (x,y) → (-x, y)
Subcase: Counterclockwise rotation:
Then (x,y) → (x, -y)
Case 3: If the point is in third quadrant:Subcase: Clockwise rotation:
Then (x,y) → (x, -y)
Subcase: Counterclockwise rotation:
Then (x,y) → (-x, y)
Case 4: If the point is in fourth quadrant:Subcase: Clockwise rotation:
Then (x,y) → (-x, y)
Subcase: Counterclockwise rotation:
Then (x,y) → (x, -y)
Case 5: For points on axesYou can take that point in any of the two surrounding quadrants. Example, if the point is on positive x axis, then it can taken as of first quadrant or fourth quadrant.
Case 6: On originNo effect as we assumed rotation is being with respect to origin.
Since no quadrant is specified, we assume triangle is fully in first quadrant. That means all points (x,y) will turn (-x,y) after counter clockwise rotation.
Now translation of 3 units up means all y coordinates will be increased by 3, thus, all (x,y) points of triangle first become (-x,y) then (-x, y+3).
Thus, all the points of the triangle ABC(assuming it is in first quadrant) of the form (x,y) turns (-x,y+3) after applying considered transformations.
Learn more about rotation and translation here:
https://brainly.com/question/2418278
pls help me with question 8
9514 1404 393
Answer:
weight = 5, 6.5, 7.2, 9, 16
cost = $2.50, $3.25, $3.60, $4.50, $8.00
Step-by-step explanation:
The first column tells you the cost is ...
$2.50/(5 lb) = 0.50 $/lb
That is, each bottom number is half the top number, or each top number is double the bottom number.
The table is ...
weight = 5, 6.5, 7.2, 9, 16
cost = $2.50, $3.25, $3.60, $4.50, $8.00
ASAP GIVING BRAINIEST AND 20 points 1. How can technology be both positive and negative when it comes to modified crops?
2. Why do you think it is important to find ways to improve crops?
Answer:
Technology can be both negative and positive when it comes to modified crops. It can be positive because it allows us to have more crops and resist pests and disease. It can be negative because it may cause deformities or health risks.
I really hope that helps you.
1.find the domain,range and function.
{(-6, 4), (5, -1), (0, 3), (-2,4)}
Domain:
Range:
Function
Answer: domain: {-6, 5, 0, -2}
Range: { 4, -1, 3, 4}
Function: Yes it is a function
The sum of two numbers is 37. Their difference is 7. What are the numbers?
Answer:
22 and 15
Step-by-step explanation:
22+15=37
22-15=7
Simultaneous equations
y=x+2
y=x^2
Answer:
(- 1, 1 ) and (2, 4 )
Step-by-step explanation:
Given the 2 equations
y = x + 2 → (1)
y = x² → (2)
Substitute y = x² into (1)
x² = x + 2 ( subtract x + 2 from both sides )
x² - x - 2 = 0 ← in standard form
(x - 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 2 = 0 ⇒ x = 2
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 2 → y = 2 + 2 = 4 ⇒ (2, 4 )
x = - 1 → y = - 1 + 2 = 1 ⇒ (- 1, 1 )
A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.
Answer:
Length = 8 inches
Width = 15 inches
Step-by-step explanation:
A rectangular painting has a diagonal measure of 17 inches and an area of 120 square inches. Use the formula for the area of a rectangle and the Pythagorean Theorem to find the length and width of the painting.
Let:
a = length of painting
b = width of painting
Area of painting = 120 = ab
Pythagorean Theorem says
a² + b² = Diagonal²
a² + b²= 17²
[120 =ab means b= 120/a]
a² + (120/a)² = 17²
Multiply through by a²
a⁴ + 14400 = 289
z² + 14400 = 289z [for now, substitute z for a²]
z² - 289z + 14400 = 0
z² - 64z - 225z + 14400 = 0
z(z - 64) -225(z - 64) = 0
(z - 64)(z - 225) = 0
z - 64 = 0
z = 64
z - 225 = 0
z = 225
Note that:
z for a²
Hence:
a² = 64
a = √64
a = 8 inches
The same applies for b
b² = 225
b = √225
b = 15 inches
1. Laura earns $115 a month babysitting. If she saves all of the
money she earns in June and July and uses it to buy a bicycle
that cost $158, how much money will she have left?
A. $230,00
B. $43.00
C. $60.00
D. $72.00
A
B
OC
Answer:
Laura will have exactly $72.00 after purchasing the bicycle.
Step-by-step explanation:
We are given that Laura ends $115 per month of babysitting.
We also learn that she wants to save her money from June and July, which means she wants to save her money over a period of two months.
Therefore, she will earn $115 twice.
[tex]\displaystyle{\$115 \times 2 = \$230}[/tex]
Then, she wants to purchase a bicycle that costs $158, so we need to subtract the cost of the bicycle from her total earnings.
[tex]\$230 - \$158 = \$72[/tex]
Therefore, Laura will have exactly $72.00 remaining after her purchase.
Can someone help pls
What is the ratio of blue paint to red paint in the mixture?
Answer: I think the answer is 5:2 Hope This Helps
It's 5:3
Hoped I helped!
Have a wonderful day-
Bye!
Para hacer una ración de puré de papa se necesita 1/5 de kg. ¿Cuántas raciones se pueden hacer con 7/4 de kg?
Gracias
Answer:
Cantidad de raciones= 8.75 raciones
Step-by-step explanation:
Dada la siguiente información:
Para hacer una ración de puré de papa se necesita 1/5 de kg.
Vamos a pasar las cantidades a décimales:
Ración puré= 0.2kg
Kg de papa= 7/4= 1.75 kg
Ahora, dividimos la cantidad total por la cantidad unitaria:
Cantidad de raciones= 1.75/0.2
Cantidad de raciones= 8.75 raciones
THIS IS TIMED!
Thanks:)
Find the slope of the line containing the pair of points.
(-10,6) and (-11,7)
Answer:
Step-by-step explanation:
(-10,6)(-11,7)
Slope is -1
1. How many feet long is the space Mr. Hamilton wants to fill with pictures? Explain how you know.
Write your answer in the space below.
Answer:
✔️Length of the space Mr. Hamilton wants to fill with pictures = 4 ft long
✔️8 pictures can be fit on this wall by Mr. Hamilton
Step-by-step explanation:
The wall = 9.75 ft long
Window = 5¾ ft long = 5.75 ft
Each President's picture = 6 in. wide = 0.5 ft wide (note: 1 ft = 12 in.)
✍️Length of the space Mr. Hamilton wants to fill with pictures = 9.75 ft - 5.75 ft = 4 ft
✍️ Numbers of pictures that can fit on this wall = the space Mr. Hamilton wants to fill ÷ the width of each picture
= 4 ft ÷ 0.5 ft
= 8.
8 pictures will can be fit on the wall.
(03.01 LC)
The leg of a right triangle is 3 units and the hypotenuse is 4 units. What is the length, in units, of the other leg of the triangle? (1 point)
Question 1 options:
1) The square root of 5
2) The square root of 7
3) 5
4) 7
Question 2 (1 point)
Saved
(03.01 LC)
What is the length of the hypotenuse of a right triangle if each of the two legs is 7 units? (1 point)
Question 2 options:
1) Square root of 14
2) 7
3) The square root of 98
4) 49
Answer:
√7 units, √98 units
Step-by-step explanation:
Pythagorean theorem
a^2+b^2=c^2. So 9+b^2=16. So b^2=7. So b=√7
a^2+b^2=c^2. SO 49+49=c^2. So 98=c^2. So c=√98.
Answer:
√7 units, √98 units
Step-by-step explanation:
e. Find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) Ć(1, -3).
Answer:
Length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21
Step-by-step explanation:
We need to find the length of sides of the triangle whose vertices are A (7,4), B (-8, 6) C(1, -3).
We have three sides of triangle AB, BC and AC
The length of side can be calculated using distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Now finding lengths of sides AB, BC and AC
i) Length of side AB
We have A (7,4), B (-8, 6)
and [tex]x_1=7, y_1=4, x_2=-8, y_2=6[/tex]
Putting values in formula and finding length
[tex]Length \ of \ side \ AB \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AB \ =\sqrt{(-8-7)^2+(6-4)^2}\\Length \ of \ side \ AB \ =\sqrt{(-15)^2+(2)^2}\\Length \ of \ side \ AB \ =\sqrt{225+4}\\Length \ of \ side \ AB \ =\sqrt{229}\\Length \ of \ side \ AB \ =15.13[/tex]
So, Length of side AB is 15.13
ii) Length of side BC
We have B (-8, 6) and C(1, -3)
and [tex]x_1=-8, y_1=6, x_2=1, y_2=-3[/tex]
Putting values in formula and finding length
[tex]Length \ of \ side \ BC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ BC \ =\sqrt{(1-(-8))^2+(-3-6)^2}\\Length \ of \ side \ BC \ =\sqrt{(1+8)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{(9)^2+(-9)^2}\\Length \ of \ side \ BC \ =\sqrt{81+81}\\Length \ of \ side \ BC \ =\sqrt{162}\\Length \ of \ side \ BC \ =12.72[/tex]
So, Length of side BC is 12.72
iii) Length of side AC
We have A (7,4)and C(1, -3)
and [tex]x_1=7, y_1=4, x_2=1, y_2=-3[/tex]
Putting values in formula and finding length
[tex]Length \ of \ side \ AC \ =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Length \ of \ side \ AC \ =\sqrt{(1-7)^2+(-3-4)^2}\\Length \ of \ side \ AC \ =\sqrt{(-6)^2+(-7)^2}\\Length \ of \ side \ AC \ =\sqrt{36+49}\\Length \ of \ side \ AC \ =\sqrt{85}\\Length \ of \ side \ AC \ =9.21[/tex]
So, Length of side AC is 9.21
So, length of sides of triangle are: AB = 15.13, BC = 12.72, AC = 9.21