F(x)=x^2-3x-2 if shifted 4 units left. The relics it g(x). What is g(x)?

Answers

Answer 1
in order to shift the function 4 units back you simply need to subtract 4 from the function so:
(x^2-3x-2) - (4)= x^2-3x-6=g(x)

Related Questions

Hi i have exams coming up soon within 4 months time what can i don't to focus more and not be easily distracted? ​

Answers

i would recommend setting a schedule for each day. a to do list can also help. this can help you stay on track make a list of things you need to do and have set goals for every week or month. if you're studying something you dont like, i would recommend doing pomodoros. you can find videos to follow along to.

i hope this was helpful!

which situation representd 24÷6

Answers

Answer:

= 4

Step-by-step explanation:

24÷6

= 4

A stright road is 1.4 long and 0.04 km wide.what area does it cover?​

Answers

Step-by-step explanation:

it is a rectangle !

a straight road and its width.

so, the area is (as for any other rectangle)

length×width

in our case

1.4 km × 0.04 km = 0.056 km²

Answer:

Area formula= length x width

length of road= 1.4 km

width of road= 0.04 km

Area= 1.4 x 0.04

= 0.056 km

need help with this problem ​

Answers

Answer:

(28)  61.5, or $61,500

(29) 49.25, or $49,250

(30) the median

Step-by-step explanation:

(28) the mean can be calculated by adding together the values and then dividing by the total number of values.

(45 + 47 + 47.5 + 51 + 53.5 + 125) / 6 = 61.5

(29) the median can be calculated by crossing off the values from the outside in, alternating sides

45, 47, 47.5, 51, 53.5, 125

47, 47.5, 51, 53.5

47.5, 51

you will end with two middle values since there are six values in the set, so average these to find the median

(47.5 + 51) / 2 = 49.25

(30) The median will better reflect the value of the homes because it is not as much influenced by the outlier value, 125, as the mean is.

A regular hexagonal prism has a height of 7 cm and base edge length of 4 cm. Identify its lateral area and surface area.

Answers

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

What is lateral and surface area of the regular hexagonal prism?

For a regular hexagonal prism, the Lateral surface area and the surface area is expressed as follows:

Lateral Area = 6a × h

Surface Area = 6ah + 3√3a²

Where a is base edge and h is height.

Given that;

Base edge length a = 4cmHeight h = 7cm

The Lateral Area of the regular hexagonal prism will be;

Lateral Area = 6a × h

Lateral Area = 6( 4cm ) × 7cm

Lateral Area = 24cm × 7cm

Lateral Area = 168cm²

The Surface Area of the regular hexagonal prism will be;

Surface Area = 6ah + 3(√3)a²

Surface Area = 6(4cm × 7cm) + 3(√3)(4cm)²

Surface Area = 168cm² + 3(√3)16cm²

Surface Area = 168cm² + 83.138cm²

Surface Area = 251.138cm²

Given the base edge and the height, the lateral area and surface area of the regular hexagonal prism are 168cm² and 251.138cm² respectively.

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Carol buys a house for £234 900
She pays a 10% deposit.
Work out the amount of deposit paid by Carol.

Answers

Answer:

211410

Step-by-step explanation:

234900x.10

23490

234900-23490

211410



Admission to a baseball game is $3.00 for general admission and $5.50 for reserved seats. The receipts were $3277.50 for 845 paid admissions. How many of each ticket were sold?

Answers

Answer:

548, 297

Step-by-step explanation:

We can set this up as a system of equations. The first equation is for how many tickets were sold, which is x+y=845. The second equation is for the cost of the tickets, which is 3x+5.5y=3277.50. The best method for this problem (other than graphing) is elimination. First, we need to multiply one equation to get the opposite of one of the variables. The easiest one to do for this problem is x. The opposite of 3 is -3, so we have to multiply ALL of the first equation by -3. If you do this, then you get -3x-3y=-2535. Now, combine the equations:

3x + 5.5y = 3277.50

-3x  -3y    = -2535

________________

0x+2.5y=742.5

Now, isolate y by dividing both sides by 2.5. If you do this, you get y=297. Now, plug this in for the y in the first equation. Isolate x.

x+297=845

  -297  -297

__________

      0      548

x=548

Hope this helps!


What are the domain and range of the function f(x)=x²-2x² -4?

Answers

Answer:

The domain is -∞, ∞

The range is -∞, -4

Step-by-step explanation:

The domain is the data in a set representing the possible real numbers for a function.

The range is the range that this function's result is likely to be in.

factorize that x^4+4y^4​

Answers

Answer:

(x² + 2y² + 2xy)(x² + 2y² - 2xy)

Step-by-step explanation:

Given binomial:

x⁴ + 4y⁴

In order to factorize it, follow the steps:

Complete the square:

x⁴ + 4y⁴ = (x²)² + 2*(x²)*(2y²) + (2y²)² - 2*(x²)*(2y²) = (x² + 2y²)² - (2xy)² = (x² + 2y² + 2xy)(x² + 2y² - 2xy)

Used identities:

(a + b)² = a² + 2ab + b²a² - b² = (a + b)(a - b)

A box shaped like a rectangular prism has a length of 8 inches and width of 8 inches. Its volume is 512 cubic inches. What is the height of the box?

Answers

Answer = 8 in.
Volume = L x W x H
we know volume =512
L=8
W= 8
512 = 8 x 8 x H
512 = 64H
Divide both sides by 64 to isolate H
8 = H

Check your work
8 x 8 x 8 = 512

1.
In AXYZ, |XZ| = 13 cm, XY = 12 cm and
ZXYZ = 90°. Find YZ if the area of the
triangle is 30 cm².

Answers

Step-by-step explanation:

I think you mean triangle XYZ. and angle XYZ.

so, the angle at Y is 90°.

that makes XZ the Hypotenuse (baseline opposite of the 90° angle) of the right-angled triangle.

so, we can actually use Pythagoras (we don't need the area of the triangle to solve) :

13² = 12² + YZ²

169 = 144 + YZ²

25 = YZ²

YZ = 5 cm

just to check - the area of this triangle is (remember, it is a right-angled triangle, so XY and YZ serve also as baseline and height) :

area = 12 × 5 / 2 = 60/2 = 30 cm²

correct, it fits.

Find the Volume
I need correct answer

Answers

Answer:

70 cm^3; 1000 cm^3; 343 cm^3; 30 cm^3; 48 cm^3

Step-by-step explanation:

to find the volume to all of these shapes you can just multiply all the sides together

one looks like this

2 * 5 * 7 = 70

70 is the answer for the first one

you repeat this 4 more times

since a cube has all equal sides for 2 and 3 you can just cube your side length

10^3 = 1000

7^3 = 343

afterwards since they are all just rectangular prisms you can just multiply all the sides together

1 * 5 * 6 = 30

4 * 6 * 2 = 48

those are your answers

dont forget to add ^3 behind the cm

Step-by-step explanation:

70cm kr 5ko 12m y x W L H V

ksk

How would you apply the fundamental counting principle to a bike lock combination with 5 numbers?

1. 10+ 10+ 10+ 10+10
2. 10x5
3. 10x10x10x10x10
4.none of these

Answers

Answer:

3

Step-by-step explanation:

a puppy weighs 1 pound. what does the puppy weigh after 4 weeks​

Answers

i think it would be around 7 lbs
(i could be wrong but i think this is about right)

Stephanie read 45 pages from a book of 120 pages. Which of the following equations shows the number of pages (n) Stephanie still needs to read?

Answers

The equation of the number of pages Stephanie still needs to read will be n + 45 = 120. Then the correct option is A.

The missing options are given below.

A.  n + 45 = 120

B.  n - 45 = 120

C.  45ⁿ = 120

D.  n/45 = 120

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Stephanie read 45 pages from a book of 120 pages.

Let n be the number of remaining pages.

Then the equation, we have

n + 45 = 120

Then the correct option is A.

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twice a number added to 13 is equal to 27 what is the number

Answers

Let's think that The NUMBER is x so it would be 2x+13=27 so this goes to 2x=27-13 which is 2x=14 so x equal to 7

The number is 7. Let's represent the number as "x." According to the given information, "Twice a number added to 13 is equal to 27," which can be expressed as an equation.

2x + 13 = 27

Now, solve the equation for "x":

Subtract 13 from both sides:

2x = 27 - 13

2x = 14

Divide both sides by 2:

x = 14 / 2

x = 7

Therefore, the number is 7.

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write a Pythagorean triplet whose smallest member is 6​

Answers

Answer:

6, 8, 10

Step-by-step explanation:

Where:

a = 6

b = 8

c = 10

Pythagorean theorem: [tex]a^2 + b^2 = c^2[/tex]

[tex]6^2 + 8^2 = c^2[/tex]

[tex]36 + 64 = c^2[/tex]

[tex]100 = c^2[/tex]

c = [tex]\sqrt{100}[/tex]

c = 10

Many of the amenities at a local ski hill are operated using gas generators. To transport gasoline to the top of the mountain, a special trailer has been designed. The trailer bed is in the shape of a square with a side length of 1.5 m. They wish to attach a cylindrical shaped gas tank to the trailer which is as large as possible, but cannot be taller than the trailer bed is. Determine the dimensions, volume and surface area of the gas tank.

Answers

The Dimension of the Cylinder:    Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

What is Cylinder?

A cylinder is a three-dimensional solid figure which has two identical circular bases joined by a curved surface at a particular distance from the center which is the height of the cylinder.

Here, Trailer bed dimension = 1.5 m X 1.5 m

  So, height of the cylindrical = 1.5 m

         Radius = 1.5/2 = 0.75 m

Now, Volume of Cylinder = πr²h

                                          = 3.14 X (0.75)²X1.5

                                          = 2.649 m³

Surface area of cylinder = 2πrh + 2πr²

                                        = 2πr (h + r)

                                       = 2 X 3.14 X 0.75 ( 1.5 + 0.75)

                                       = 10.59 m²

Thus, The Dimension of the Cylinder: Height = 1.5 m and radius = 0.75 m

Volume of Cylinder = 2.649 m³

Surface Area = 10.59 m²

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find the product of
2a(a+b)
3xy(2x-3y)

Answers

Answer:

2a² + 2ab , 6x²y - 9xy²

Step-by-step explanation:

using the distributive property

a(b + c) = ab + ac

given

2a(a + b) ← multiply each term in the parenthesis by 2a

= 2a² + 2ab

given

3xy(2x - 3y) ← multiply each term in the parenthesis by 3xy

= 6x²y - 9xy²

Answer:

6x2-9x2

Step-by-step explanation:

because I don't know the explanation

What is 6 months to 5 years expressed as a ratio

Answers

Answer:

6:5

Step-by-step explanation:

6:5

the To represents :
this makes 6:5

Choose the best answer. The diagonals of a square:
A. bisect each other at different angles
B. are the same length and intersect at a right angle
C. do not bisect each other and intersect at right angles
D. are the same length and intersect at different angles

Answers

Answer:

D

Step-by-step explanation:

are the same length and intersect at different angles

What’s the answer to the picture I took?

Answers

Answer:

y = - x

Step-by-step explanation:

From the given table:-

( x_1,x_2): (5,-5)

( y_1,y_2): (6,-6)

1) Let's find the slope (m):-

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{ - 6( - 5)}{6 - 5} = \frac{ - 6 + 5}{1} = \frac{ - 1}{1} = - 1[/tex]

2) Substitute x_1= 5, y_1=-5 and m=-1 into y-y_1=m(x-x_1)

[tex]y - ( - 5) = - 1(x - 5)[/tex]

[tex]y + 5 = - x + 5[/tex]

[tex]y = - x + 5 - 5[/tex]

[tex]y = - x[/tex]

Connor leaves Omaha heading directly east at a rate of 32 miles per hour.
One hour later, Jason leaves from Omaha heading in the same direction at a rate of 50 miles per hour.
How long, in hours, after Jason leaves does Jason catch up with Connor?
Round your answer to the nearest hundredths place if necessary.

Answers

Answer:

1.02 miles

Step-by-step explanation:

Find the length of the following curve. If you have a​ grapher, you may want to graph the curve to see what it looks like.
y=1/27((9x^2)+(6))^3/2 ,from x=3 to x=6

Answers

The length of the curve [tex]y = \frac{1}{27}(9x^2 + 6)^\frac 32[/tex] from x = 3 to x = 6 is 192 units

How to determine the length of the curve?

The curve is given as:

[tex]y = \frac{1}{27}(9x^2 + 6)^\frac 32[/tex] from x = 3 to x = 6

Start by differentiating the curve function

[tex]y' = \frac 32 * \frac{1}{27}(9x^2 + 6)^\frac 12 * 18x[/tex]

Evaluate

[tex]y' = x(9x^2 + 6)^\frac 12[/tex]

The length of the curve is calculated using:

[tex]L =\int\limits^a_b {\sqrt{1 + y'^2}} \, dx[/tex]

This gives

[tex]L =\int\limits^6_3 {\sqrt{1 + [x(9x^2 + 6)^\frac 12]^2}\ dx[/tex]

Expand

[tex]L =\int\limits^6_3 {\sqrt{1 + x^2(9x^2 + 6)}\ dx[/tex]

This gives

[tex]L =\int\limits^6_3 {\sqrt{9x^4 + 6x^2 + 1}\ dx[/tex]

Express as a perfect square

[tex]L =\int\limits^6_3 {\sqrt{(3x^2 + 1)^2}\ dx[/tex]

Evaluate the exponent

[tex]L =\int\limits^6_3 {3x^2 + 1} \ dx[/tex]

Differentiate

[tex]L = x^3 + x|\limits^6_3[/tex]

Expand

L = (6³ + 6) - (3³ + 3)

Evaluate

L = 192

Hence, the length of the curve is 192 units

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a) The scale of a map is 1:20 000. What distance in metres does 4cm on the map represent?​

Answers

Answer:

80 000

Step-by-step explanation:

1 cm : 20 000 (The question does not state the unit of the other half)

So

4 cm : 4×20 000

4 cm : 80 000

I'm not sure about units but hope this helped and brainliest please

Answer:

80 000 meters

Step-by-step explanation:

In the map:

1 cm = 20000 m

4 cm = 4(20000) = 80 000 meters

4 cm on the map represents 80 km in reality.

Hope this helps

If f(x) = 1-x, which value is equivalent to fi)?​

Answers

Answer:

[tex]\sqrt 2[/tex]

Step-by-step explanation:

[tex]f(x) = 1-x\\\\|f(i)| = |1-i| = \sqrt{1^2 +1^2 } =\sqrt 2[/tex]

a web adminitrator is interested in the average number of visitors per day that her website receives. Match the vocab word with its corresponding example'

Answers

The correct matching of the vocabulary words and the examples given of the web administrator's process are:

Population - All the days that the website has been in existence.Statistic - The average number of visitors per day for the 42 days that the administrator tracked.Sample - The 42 randomly selected days that the administrator tracked.Variable - The number of visitors that the website receives on a given day.Data - The list of visitor counts for the 42 days that were tracked. Parameter - The average number of visitors per day that have come to the website since it was created.

What metrics are used by the website administrator?

The entire population being looked at would best be all the days that the website has existed and the sample will be some selected days that have been tracked.

Parameters can be created such as the average number of visitors per say and then data would be derived on this. A statistic would simple show certain information such as the average visits in the days tracked.

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There is a circular pool in the backyard with an approximate area of 113 square inches. What was the diameter?

A.12 inches
B.36 inches
C.48 inches
D.144 inches

Answers

A circle is a curve sketched out by a point moving in a plane. The diameter of the circular poll is 12 inches. Thus, the correct option is A.

What is a circle?

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.

The area of a circle is given as πR², where r is the radius of the circle. Since the area of the pool is 113 sq. inches, therefore, the radius of the circle will be,

Area of pool = πR²

113 sq. inches. = πR²

113/π = R²

R = √35.9690

R = 5.9974 ≈ 6 inches

Now, since the diameter of a circle is twice the radius of the circle, therefore, the diameter of the circle will be,

Diameter of the circle = 2 × 6 inches = 12 inches

Hence, the diameter of the circular poll is 12 inches. Thus, the correct option is A.

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Answer:

a. 12 inches

Step-by-step explanation:

113 ÷ 3.14 = 35.98726114649682

2√35.98726114649682 = 5.998938334947011

5.998938334947011 x 2 = 11.99787666989402

keyword approximate ;)

math
any help please

Answers

Step-by-step explanation:

the answer is true

the statement is true

Which of the following values are solutions to the inequality -5 -6x > -8?
I. - 4
II. - 3
III. - 5

Answers

The answer is :x< 1/2

Answer:

I. - 4

II. - 3

III. - 5

Step-by-step explanation:

All values are the solution to the inequality

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