The graphs below have the same shape. What is the equation of the blue
graph?
F(X) = x2
5
G(X) = ?
5
G(X) =

Answers

Answer 1

Answer:

[tex]g(x) = (x - 2)^2 + 1[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x^2[/tex]

Required

Determine g(x)

f(x) represents the parent function. And from the graph, we have:

[tex]f(x) = x^2[/tex]

f(x) is first shifted 2 units right.

The rule is:

[tex]f'(x) = f(x - 2)[/tex]

So, we have:

[tex]f'(x) = (x - 2)^2[/tex]

Next, f'(x) is shifted 1 unit up to give g(x), the blue graph.

The rule to this is:

[tex]g(x) = f'(x) + 1[/tex]

[tex]g(x) = (x - 2)^2 + 1[/tex]

The Graphs Below Have The Same Shape. What Is The Equation Of The Bluegraph?F(X) = X25G(X) = ?5G(X) =

Related Questions

Find the square root of 75​

Answers

Answer:

8.66  =  9

Step-by-step explanation:

The square root of 75 is approximately equal to 8.66 but if rounded 9

The length of rectangle is 3 cm longer than its breadth. If the perimeter of the rectangle is 54 cm, find its length,in cm​

Answers

Answer:

Length=15cm

Hope this answer is right!!

Step-by-step explanation:

Length be 3 cm longer than the breadth.

So, x=y+3

Perimeter = 2(x+y)54

So, x+y=27 =>x=15

x-y=3 =>x=12

So, length is 15 cm

Seema is travelling to California. She travels a distance of 7,800 km by plane to Lima and then another 6,700 km to Los Angeles. Both planes fly at an average speed of 900 kmh-1.
What is her total flight time in hours and minutes, to the nearest minute?

Answers

16 hours 6 minutes

See the image above

John can jog twice as fast as he can walk. He was able to jog the first 5 miles to his grandmothers house, but the he tired and walked the remaining 2 miles.If the total trip took 0.9 hours, then what was his average jogging speed?

Answers

Formula for speed = distance/ time
S = 7/.9 = 7.77 miles per hour or 8 mph if you round up.

I don't understand help plz​

Answers

It’s a and b are the correct answer
A and b are the correct answers

A bag contains 6 red balls and 5 black balls . Two balls are picked , one after the other . Find the probability that :
i. Both are black
ii. The first is black
iii. Both are of the same colour
Given that :
a. it is without replacement
b. it is with replacement

Answers

Answer:

There are:

6 red balls - R5 black balls - BTotal number = 11 ballsA. Without replacement

i. Two blacks

P(BB) = 5/11*4/10 = 2/11

ii. The first is black

P(B) = 5/11

or, alternatively

P(BR or BB) = 5/11*6/10 + 2/11 = 3/11 + 2/11 = 5/11

iii. Both are of same colour

P(BB or RR) = 2/11 + 6/11*5/10 = 2/11 + 3/11 = 5/11B. With replacement

i. Two blacks

P(BB) = 5/11*5/11 = 25/121

ii. The first is black

P(B) = 5/11

or alternatively

P(BR or BB) = 5/11*6/11 + 25/121 = 30/121 + 25/121 = 55/121 = 5/11

iii. Both are of same colour

P(BB or RR) = 5/11*5/11 + 6/11*6/11 = 25/121 + 36/121 = 61/121

Factor the polynomial 3x^2+6x

Answers

Answer:

1. [tex]3x(x+2)[/tex]

Step-by-step explanation:

1: Find the GCF (Greatest Common Factor) of the polynomial

Answer: 3x

Then use it to factor out 3x^2 + 6x

3x(x + 2)

Dominic is deciding if he should become a member of his local ice rink. The $144 annual membership fee at the ice rink includes admission and parking, members pay $4.00 per visit to rent ice skates. Non-members pay $11 admissions, $5.00 for parking and they also pay $4.00 per visit to rent ice skates. 1. When is it better to be a member? After 4 visits how much would each pay? Member: $_________ Non-Member: $__________ After 6 visits how much would each pay? Member: $_________ Non-Member: $__________

Answers

Answer:

1. members = $ 160 , non members = $ 80

2. members = $ 168 , non members = $ 120

Step-by-step explanation:

For members

Annual membership = $ 144

rent per visit charges = $ 4

For Non members

parking charges = $ 5

admission charges = $ 11

rent per visit = $ 4

(1) for 4 visits

Members pay = $ 144 + 4 x $ 4 = $ 160

Non members pay = 4 x $ 11 + 4 x $ 5 + 4 x $ 4 = $ 80

So, non member ship is better.    

(2) for 6 visits

Members pay = $ 144 + 6 x $ 4 = $ 168

Non members pay = 6 x $ 11 + 6 x $ 5 + 6 x $ 4 = $ 120

So, non member ship is better.    

For what value of k will the relation y = kx² + 8x + 8 have only one zero? (3 marks)

Answers

Answer:

2

Step-by-step explanation:

2x^2 + 8x + 8

factor the 2 out : 2(x^2 + 4x + 4)

2(x + 2)^2

x = -2

Carol wants to tile her utility room. Each tile is 1 square foot. She draws the shape of her room on a grid. Each square unit on the grid represents 1 square foot. How many tiles will she need?

Answers

Answer:

1

Step-by-step explanation:

that's a very vague question

The side of a right triangle opposite the right angle.

Answers

Answer:

hypotenuse

Step-by-step explanation:

The side opposite the right angle has a special name - hypotenuse

The other two sides of the right triangle are called legs

Please help 50 points
Simplify the expression

Answers

your answer is 2x+6, which is the third one :)

Answer:

c

Step-by-step explanation:

Write and Graph Inequalities


1. When cooking a turkey, the recommended internal temperature of the turkey is 165 °F. A lower internal temperature will undercook the turkey. Write an inequality that is true only for temperatures that which the turkey will be undercooked.


I want the answer in words pls and thank u

Answers

Answer:

Turkeys with an internal temperature of less than 165° F are undercooked.

determine the number of terms in the sequence: 1/4, -1/-2, 1, 16384
(full answer )

Answers

Answer:245

Step-by-step explanation:

What's the area of this shape?

Answers

Answer:

[tex] 365.97\: cm^2[/tex]

Step-by-step explanation:

Area of the shape = Area of triangle with base 22 cm and height 16 cm + Area of semicircle with radius (22/2 = 11) 11 cm

[tex] = \frac{1}{2}bh + \frac{1}{2} \pi {r}^{2} \\ \\ = \frac{1}{2} \times 22 \times 16 + \frac{1}{2} \times \times 3.14 {(11)}^{2} \\ \\ = 11 \times 16 + 3.14 \times 60.5 \\ \\ = 176 + 189.97 \\ \\ = 365.97 \: {cm}^{2} [/tex]

Step-by-step explanation:

The radius would be 11 which is half of the width and the height is 16.

A= πr(r+√h²+r²)

A= π•11•(11+√16²+11²)

A≈ 1051.11836

find the unit rate of computers per day using the graph

Answers

Answer:

You need to look at the graph and find an ordered pair.  Once you find an ordered pair divide the x value by the y value to get the unit rate.

Step-by-step explanation:

WHAT IS THE VALUE OF ANGLE N?

Answers

Answer:

32 degrees

Step-by-step explanation:

An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. Angle N perfectly fits this description. An inscribed angle is equal to 1/2 of its intercepted arc (the arc opposite the angle). The arc opposite angle N is equal to 64 degrees, so angle N is equal to 1/2 of that, or 32 degrees

Multiply (−4) × (−2) × (−5).

Answers

Answer: -40 or negative forty

Step-by-step explanation:

Answer: (-4) * (-2)= 8
(-5) * 8= -40

-40

Hope this helps :))

Linear equation


Gina is 3 years older than Susan. The sum of their ages is 12 years more than Susan’s age. How old is Susan ?

Answers

Answer:

Susan = x

Gina = 3x

Sum of their ages = 12

Susan's age = ?

We can see that,

[tex]2x=10

x = \frac{10}{2}x=

2

10

x = 5x=5[/tex]

Susan is 3 years old.

Convert to polar form

Answers

Please click on the above picture and view the full answer.

Step-by-step explanation:

Hope it helps you.^_^

The account that appears in the chart of accounts for a merchandising entity but not for a service entity is

Answers

yeshir yeshir is the answer to this question no cap slatt I keep a Glizzy on my side jig

What is the domain to this graph

Answers

Answer:

x > 0

Step-by-step explanation:

The domain of the graph are all the possible values of x. Since the graph never touches the negative part of the graph, x will always be greater than 0. Thus, x > 0 meaning x will be greater (not equal to) 0.

What is the answer for earning in dollars

A. 200

B.150

C.110

D.120

Answers

Answer:

D. 120

Step-by-step explanation:

Answer:

120

5*24=120

5*20=100

5*16=80

need to find volume, step by step explanation pls



Answers

Given:

A figure of combination of hemisphere, cylinder and cone.

Radius of hemisphere, cylinder and cone = 6 units.

Height of cylinder = 12 units

Slant height of cone = 10 units.

To find:

The volume of the given figure.

Solution:

Volume of hemisphere is:

[tex]V_1=\dfrac{2}{3}\pi r^3[/tex]

Where, r is the radius of the hemisphere.

[tex]V_1=\dfrac{2}{3}(3.14)(6)^3[/tex]

[tex]V_1=\dfrac{6.28}{3}(216)[/tex]

[tex]V_1=452.16[/tex]

Volume of cylinder is:

[tex]V_2=\pi r^2h[/tex]

Where, r is the radius of the cylinder and h is the height of the cylinder.

[tex]V_2=(3.14)(6)^2(12)[/tex]

[tex]V_2=(3.14)(36)(12)[/tex]

[tex]V_2=1356.48[/tex]

We know that,

[tex]l^2=r^2+h^2[/tex]                               [Pythagoras theorem]

Where, l is length, r is the radius and h is the height of the cone.

[tex](10)^2=(6)^2+h^2[/tex]

[tex]100-36=h^2[/tex]

[tex]\sqrt{64}=h[/tex]

[tex]8=h[/tex]

Volume of cone is:

[tex]V_3=\dfrac{1}{3}\pi r^2h[/tex]

Where, r is the radius of the cone and h is the height of the cone.

[tex]V_3=\dfrac{1}{3}(3.14)(6)^2(8)[/tex]

[tex]V_3=\dfrac{25.12}{3}(36)[/tex]

[tex]V_3=301.44[/tex]

Now, the volume of the combined figure is:

[tex]V=V_1+V_2+V_3[/tex]

[tex]V=452.16+1356.48+301.44[/tex]

[tex]V=2110.08[/tex]

Therefore, the volume of the given figure is 2110.08 cubic units.

x+y-6=0, x-y=0. What is the solution set of the system?

A. (3,3)
B. (-3,3)
C. (3, -3)​

Answers

Answer:

A. (3,3)

Step-by-step explanation:

Find the perimeter of the given image. Round your answers to the
nearest tenth.

Answers

Answer:

52.6 mm

Step-by-step explanation:

split this figure and form one square and semi circle

for semicircle

radius = 4mm

find diameter

radius = diameter /2

4*2 = diameter

8 mm = diameter

now find perimeter of square

POS = 4l

=4*8

=32 mm

perimeter of semicircle= πr + 2r

=3.14^4 + 2*4

=12.56 + 8

=20.56 mm

area of the figure = perimeter of square + perimeter of semicircle

=32 + 20.56 mm

=52.56 mm

=52.6 mm

split ur figure as shown below

Answer:

28.6 (by the assumption that 4 is the radius)

Step-by-step explanation:

4 is the radius.

Circumference of a circle is  πd or  2πr

But its a semi circle so our equation will be  2πr/2 + d

So subsitute, 2* π*4/2 + 8

=8 π/2 + 8

=4 π + 8

=20.6

This is only the circumference of the semi-circle

Now for the square, perimeter is equal to 4*S

so from the equation above we know that the diameter is 8(d=2r). The diameter is also one side of the square. Since squares have all sides equal, 4*8= 32

Now add

32+20.6

52.6

Round

52.6

All this is on the assumption that 4 is the radius.

A
B
Peanut
Butter
Peanut Butter
150g
400g
$2.14
$6.50
Which of the jars shown above is the BETTER buy?

Answers

Answer:

I guess 400g good for your diet. and health

Solve 5x + 6 = 3x - 10​

Answers

[tex]\boxed{x\:=\:-8 }[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➺ \: 5x - 3x = - 10 - 6[/tex]

[tex]➺ \: 2x = - 16[/tex]

[tex]➺ \: x = \frac{ - 16}{2} [/tex]

[tex]➺ \: x = - 8[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\blue{To\:verify}}{\blue{:}}}}}[/tex]

[tex]5x + 6 = 3x - 10[/tex]

[tex]➼ \: 5 \times ( - 8 )+ 6 = 3 \times ( - 8) - 10[/tex]

[tex]➼ \: - 40 + 6 = - 24 - 10[/tex]

[tex]➼ \: - 34 = - 34[/tex]

[tex]➼ \: L.H.S.=R. H. S[/tex]

Hence verified.

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35♛}}}}}[/tex]

Answer:

-8

Step-by-step explanation:

5x + 6 = 3x − 10

Subtract 3x from both sides:

5x + 6 - 3x = 3x - 10 - 3x

2x + 6 = -10

Subtract from 6 both sides:

2x + 6 - 6 = -10 - 6

2x = -16

Divide both sides by 2:

2x         -16

____ = ____

  2           2

      -16

x = ____   (divide)

        2

final answer: x = -8

4. Find H. C.F. of 60,75 & 90​

Answers

Answer:

H.C.F = 15

Step-by-step explanation:

60 = 2 × 2 × 3 × 5

75 = 3 × 5 × 5

90 = 2 × 3 × 3 × 5

HCF = 3 × 5 = 15

Express in the form n : 1.
Give n as a fully simplified fraction.
20 : 15

Answers

Answer:

this is the answer

Step-by-step explanation:

20:15=20/15=4/3=n

Hence, 1:n=3:4

20 : 15 = 20/15 : 15/15 = 4/3 : 1

n = 4/3 which is simple but some people prefer 1 1/3
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