Question 5 10 pts Which function represents the inverse of f(x) = (x + 6)2 - 5? of 1(1) = V1 + 5 - 6 of '(x) = (x + 5)2 - 6 of '(x) = V1 – 6 + 5 Of '(x) = (x + 6 – 5​

Answers

Answer 1

Answer:

f(x)^-1(x) =sqrt(x+5) -6

Step-by-step explanation:

f(x) = (x + 6)^2 - 5

y =  (x + 6)^2 - 5

Exchange x and y and solve for y

x = (y + 6)^2 - 5

Add 5 to each side

x+5 =  (y + 6)^2 - 5+5

x+5 =  (y + 6)^2

Take the square root of each side

sqrt(x+5 )= sqrt( (y + 6)^2 )

sqrt(x+5 )=(y + 6)

Subtract 6 from each side

sqrt(x+5 ) -6=y + 6-6

sqrt(x+5) -6 = y


Related Questions


Helppp plssss help meeee

Answers

Answer:

C. $1,260

Step-by-step explanation:

80 × 14.5 = 1,160

2,500 × 0.04 = 100

Answer:

C. $1260

Step-by-step explanation:

Question 4 Choice Worth 4 point

On a coordinate grid both point (1, 2) and point (-3, -3) are reflected across the y-axis. What are the coordinates of the reflected points

Answers

alright its easy read
im srry i need pts and dont kno it

Find the missing side of this right
triangle.
Х
7
12
X =
V[?

Answers

Answer:

[tex]\sqrt{193}[/tex]

Step-by-step explanation:

[tex]a^{2} +b^{2} =c^{2}[/tex]

a = 7

b = 12

[tex]7^{2} + 12^{2}[/tex] = 193

I hope this helped!! :)have a great day! :)

A room is twice as long as it is broad and its height is 8 m. if the cost of painting its walls at Rs. 20 per m² is Rs 9600 , find the cost of carpeting its floor at Rs. 400 per m²​

Answers

Answer:

Step-by-step explanation:

no body is answering

Help Fast! I will rate

Answers

Answer: The eldest child received $465,000, the middle child received $13,000, and the youngest received $93,000.

Step-by-step explanation: Subtracting $13,000 from $571,09 leaves the youngest and eldest’s money, $558,000. Dividing the amount left by 6 gives you the youngest siblings check and a total of $93,000. To find how much the eldest receives, you subtract $93,000 from $558,000 leaving the eldest $465,000.

11. House Prices In 1985, the median selling price of an
existing single-family home in Atlanta, Georgia, was
$66,200. Between 1985 and 1990, the average price in-
creased by 30%. Between 1990 and 2005, the average
price increased again, this time by 15%. What was the
median house price in Atlanta in 2005? -

Answers

Answer:

            $98,969

Step-by-step explanation:

$66,200  - the median selling price of a home in 1985

and the price increased by 30%:

66,200•30% = 66,200•0.3 = 19,860

66,200 + 19,860 = 86,060

$86,060 - the median selling price of a home in 1990

and the price increased by 15%

86,060•15% = 86,060•0.15 = 12,909

86,060 + 12,909 = 98,969

$98,969  - the median house price in Atlanta in 2005

1. The local ice cream shop has had a great month in sales. Based on the Information below, calculate the operating ratio.
cost of goods sold = $2,500.00
net sales = $18,200.00
operating expenses = $4,350.00
O 62 percent
O 38 percent
O 71 percent
O 32 percent

Answers

The operating ratio of the local ice cream shop is 38 percent

The cost of goods sold is $2,500

The net sales is $18,200

The operating expenses is $4,350

The operating ratio can be calculated as follows

= cost of goods sold+ operating expenses/total revenue

= 2500+4,350/18,200

= 6,850/18,200

= 0.376×100

= 37.6

= 38%

Hence the operating ratio is 38%  

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Answers

Answer:

10 = c

Step-by-step explanation:

Distribute -4 to the parentheses:

8 = 8c - 4(c + 8)

8 = 8c - 4c - 32

Add like terms:

8 = 4c - 32

Add 32 to both sides:

40 = 4c

10 = c

Answer:

Question:

8=8c-4(c+8)

Step-by-step explanation:

8=8c-4c-32

8=4c-32

8+32=4c

40=4c

Or

4c=40

c=10

The width of a rectangle measures (2.3a + 9.9) centimeters, and its length
measures (6.3a - 2.6) centimeters. Which expression represents the perimeter, in
centimeters, of the rectangle?
12.2a +3.7
O 7.3 + 8.60
O 17.2a + 14.6
O 7.4 +24.4a

Answers

Answer:

17.2a+14.6

Step-by-step explanation:

What is the multiplicity of each of the roots of the graph of
f(x) = 2x4 + 12x} + 16x2 – 12x – 18?
A.-3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1
B.-3, multiplicity 2; 1, multiplicity 2
C.-3, multiplicity 1; -1, multiplicity 1; 1, multiplicity 1
D.-3, multiplicity 2; -1, multiplicity 3; 1, multiplicity 1

Answers

Answer:

The correct option is;

C. -3, multiplicity 2; -1, multiplicity 1; 1, multiplicity 1

Please find attached the required function graph

Step-by-step explanation:

To solve the equation f(x) = 2·x⁴ + 12·x³ + 16·x² -12·x - 18, by graphing the function, we have;

x [tex]{}[/tex]       F(x)

-4[tex]{}[/tex]       30

-3[tex]{}[/tex]       0

-2[tex]{}[/tex]       6

-1[tex]{}[/tex]        0

0 [tex]{}[/tex]      -18

1[tex]{}[/tex]         0

2[tex]{}[/tex]       150

The shape of a graph with multiplicity of 2

Given that the graph bounces of the horizontal axis at the y-intercept at point x = -3, the factor (x - 3) must be a quadratic of the form (x - 3)², thereby having a multiplicity of 2 in the solution which are;

x = 1, -1, and, giving

(x - 1)·(x + 1)·(x - 3)² = 0

Therefore, the correct option is -3, multiplicity 2; -1, multiplicity 1; 1 multiplicity 1.

Answer:

C

Step-by-step explanation:

Where v is the final velocity (in m/s), u is the initial velocity (in m/s), a is the acceleration (in m/s²) and s is the distance (in meters). Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters. A. 15 m B. 130−−−√ m C. 178−−−√ m D. 13 m

Answers

Answer:

C. 178−−−√ m

Step-by-step explanation:

Given the following :

v = final velocity (in m/s)

u = initial velocity (in m/s)

a = acceleration (in m/s²)

s = distance (in meters).

Find v when u is 8 m/s, a is 3 m/s², and s is 19 meters

Using the 3rd equation of motion :

v^2 = u^2 + 2as

v^2 = 8^2 + 2(3)(19)

v^2 = 64 + 114

v^2 = 178

Take the square root of both sides :

√v^2 = √178

v = √178

can any one help me in this..???? please

Answers

Answer:

(i) a1/a2 =/ b1/b2

(ii) a1/a2=b1/b2 =/ c1/c2

(iii) a1/a2=b1/b2=c1/c2

Step-by-step explanation:

=/ means not equal to.

graphical repesentation of

1.intersecting lines

2.coincident lines

3.parallel lines

a1/a2 and next two slots is basically dividing the coefficents if each equation.

for eg. 1. a1/a2= 2/4=1/2 and so on.

parallel lines are inconsistent whereas intersecting and coincident lines are consistent.

based on the graph the coordinates for do1 of x

Answers

Answer:

(4,0)

Step-by-step explanation:

1. X= (4,0) the coordinates of x

What is the volume of this rectangular prism?

Answers

Answer:

1

Step-by-step explanation:

rectangular prism volume = Width * Height * Length

Width = 1.33

Height = .6

Length = 1.25

volume = 1

Help anyone can help me do the question,I will mark brainlest.​

Answers

area of shaded region is 537.5cm^2

If graphs have a linear equations in a system are concurrent having the same slope and the same y-intercept what does that mean about possible solutions

Answers

Answer:

Infinite Amount of Solutions

Step-by-step explanation:

Since we have concurrent systems (same slope + same y-int), we know that the systems of equations would be the exact same line. If that is the case, the we would know that ANY value input would work. You could even test it mathematically, and it would give you infinite amount of solutions.

A machine fills 680 bottles in 5hours how many bottles will it fill in three hours?

Answers

Answer:

408 bottles

Step-by-step explanation:

the machine can fill 136 bottles in 1 hour, 136×3=408

Answer:

408

Step-by-step explanation:

680 bottles in 5 hours

in three hours:

1 hour =680/5=136

in three hours:it will be 136*3=408

how many terms are there in the expressions 1 + 2k - j

Answers

Answer:

3 terms

Step-by-step explanation:

A term in mathematics, especially in Algebra, could be a number, a variable, variable together with a number or variables multiplied together as a single whole. Terms are usually separated with either negative or positive sign in an expression.

In the expression, [tex] 1 + 2k - j [/tex] , there are 3 terms here spared by either the negative sign or the positive.

The 3 terms are: [tex] 1, 2k, j [/tex].

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION WHILE ANSWERING THE QUESTION!!
A data set with less variation will have a smaller ____________________.
A. minimum
B. median
C. mean
D. interquartile range

Answers

Answer:

c. mean

Step-by-step explanation:

the data set that has less variation will have smaller distribution over a large area or variation measures.

Answer:

D. Interquile Range

Step-by-step explanation:

The datasets that have less variation are those that have smaller dispersion or variation measures.

Some of these measures of variance are variance, standard deviation, mean absolute deviation, range and interquartile range. Among the options shown, the only one that is used as a measure of variation is the interquartile range. The interquartile range is the difference between the third quartile and the first quartile of a data distribution. In other words, the interquartile range measures the range between the central 50% of the data.

268×7{34_56}÷890

Ayudaaa

Answers

268×7(34-56)÷890

= -5159

Must click thanks and mark brainliest

Help me!!! Please to solve this problem of o. Math

a) Given a function f(x) = 2x + 3. Find (a) f(1), (b) f(-5), (c) f(a), (d) f(a + 2) (e) f(b)?

b) let f(x) = x + 4 define a function in the closed interval of -55x55, find f(-2), f(3) and f(7). ​

Answers

a:-

f(x)=2x+3

[tex]\\ \rm\Rrightarrow f(1)=2(1)+3=2+3=5[/tex]

[tex]\\ \rm\Rrightarrow f(-5)=2(-5)+3=-10+3=-7[/tex]

[tex]\\ \rm\Rrightarrow f(a)=2a+3[/tex]

[tex]\\ \rm\Rrightarrow f(a+2)=2(a+2)+3=2a+4+3=2a+7[/tex]

[tex]\\ \rm\Rrightarrow f(b)=2b+3[/tex]

b:-

f(x)=x+4

[tex]\\ \rm\Rrightarrow f(-2)=(-2)+4=2[/tex]

[tex]\\ \rm\Rrightarrow f(3)=3+4=7[/tex]

[tex]\\ \rm\Rrightarrow f(7)=7+4=11[/tex]

Step-by-step explanation:

[tex]thank \: you[/tex]

A wall in Marcus's bedroom is 8 2/5 feet high and 16 2/3 feet long. If he paints 1/2 the wall blue, how many square feet will be blue?

Answers

Answer:

70 ft^2

Step-by-step explanation:

Find the area of the wall

A = l*w where l is the length and w is the width

A = 8 2/5 * 16 2/3

Change to improper fractions

A = 42/5 *50/3

  Rewriting

A = 42/3 * 50/5

    = 14 * 10

A = 140 ft^2

He paints 1/2

1/2 (140) = 70 ft^2

Find the values of the unknown angles marked with letters. 50 points!!!!!!!
a ?
b ?
c ?
d ?

Answers

Answer:

a = 115°, alternate interior angles are congruentb = 70°, same as abovec = 180° - 115° = 65°, angles forming a straight angle are supplementaryd = 180° - 70° = 110°, same as above

a=115°(Alternate interior angles)b=70°(Alternate interior angles

C:-

[tex]\\ \sf\longmapsto c+115=180[/tex]

[tex]\\ \sf\longmapsto c=180-115[/tex]

[tex]\\ \sf\longmapsto c=65°[/tex]

D:-

[tex]\\ \sf\longmapsto d+70=180[/tex]

[tex]\\ \sf\longmapsto d=180-70[/tex]

[tex]\\ \sf\longmapsto d=110°[/tex]

A woman sold an article for 200 GH cedis and made a profit of 25%. Find the cost price of the article.

Answers

Answer:

160

Step-by-step explanation:

x = original price

x+ 25% x = 200

Change to decimal form

x + .25x = 200

1.25x = 200

Divide each side by 1.25

x = 200/1.25

x =160

The original price was 160

collen family plans to paint the window of their house. her father will paint twice as many window as her mother, and collen and her 2 brothers will paint an equal number of the rest of the windows

Answers

Answer:

21 windows

Step-by-step explanation:

colleen's family plans to paint the windows of their house. her father will paint twice as many windows as her mother, and Colleen and her 2 brothers will paint an equal number of the rest of the windows. Colleen decided to do her own share and her mother's share and paints 7 window, which is one less than her father's share. how many windows are in their house?

Answer: Let the number of window Colleen father would paint be x while that of her mother be y. Since her father will paint twice as many window as her mother, therefore the number of windows painted by the father x = 2y

Let the number of windows each painted by Colleen and her 2 brothers be z since they would paint the same number of windows. The total number of windows to be painted = 2y + y + z + z + z = 3y + 3z = 3(y + z).

Then number of windows needed to be painted by Colleen and her mother is given as z + y. Since Colleen painted 7 windows as her share and her mother share i.e. y + z = 7

Therefore the total number of windows = 3(y + z) = 3(7) = 21 windows

What is the sign of y + x?
y
0
Choose 1 answer:
Positive
B
Negative
Zero

Answers

Answer:

C

Step-by-step explanation:

As y is zero, y/x will be zero

What is the length of segment AB
A) 3
B) [tex]\sqrt{20}[/tex]
C) [tex]\sqrt{41}[/tex]
D) 9

Answers

Answer: [tex]\large \boldsymbol {C) \ AB=\sqrt{41} }[/tex]

Step-by-step explanation:

The formula for the distance between points:[tex]\bf AB= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]  Coordinates of point A (0;5 ); coordinates of point B(4;0)[tex]\bf AB= \sqrt{(0-4)^2+(5-0)^2} =\sqrt{16+25} =\sqrt{41}[/tex]

PLEASE HELP WILL MARK BRAINLIEST

Answers

Answer:

C

Step-by-step explanation:

Its the only answer where the y intercept is 16.

We know its 16 because the line crosses the y axis at 16

Who’s salary represents the median of the data in the table?

Answers

Answer:

Rajesh salary is the median

Step-by-step explanation:

Am not good in explanation

Answer:

1: Ram

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. The median is sometimes used as opposed to the mean when there are outliers in the sequence that might skew the average of the values

if we put these salaries in order we can find out what the median salary is.

32,701 , 45,600 , 52,000 , 67,250 , 71860.

The number in the centre or the middle is 52,000. That is Ram's salary.

The answer is 1. Ram

I hope you find this useful, rate me the brainliest if you did ;)

can u help me on this... I will mark u as brilliant students.. plz ​

Answers

Answer:

For number 5 . a= 3 and b = -1

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