The graph of g is the graph of translated horizontally 5 units to the right. If f(x) = 3x + 2 , what is the equation of the function g?

Answers

Answer 1

Answer:

f(x) = 3(x-5) + 2

Step-by-step explanation:

The x coordinates are all shifted to the right, which is the positive direction. Subtracting 5 from the x coordinate is a horizontal right shift.


Related Questions

Ruth is at the park standing next to a slide.
Ruth is 5 feet tall, and her shadow is 3 feet
long. If the shadow of the slide is 7.5 feet
long, what is the height of the slide? Assume
the triangles are similar.

Answers

Answer:

The slide is approximately 12.75 feet.

Step-by-step explanation:

We know that Ruth is 5 feet tall, and her shadow is 3 feet tall.

5 ÷ 3 = 1.7 when rounded to the nearest tenth

Therefore, the shadow height of an object multiplied by 1.7 is the height of the actual object.

If the shadow of the slide is 7.5 feet, we need to multiply 7.5 by 1.7.

7.5 x 1.7 = 12.75

Therefore, the slide is approximately 12.75 feet.

Hope this helps! :D

What what is the range for the function f(x)=20x+4

Answers

Range: (−∞,∞),{y|y∈R}(-∞,∞),{y|y∈ℝ }

Write the algebraic expression for...
The product of a number x and 10

Answers

Answer:

10x

Step-by-step explanation:

product In math means multiplication, whiles and means addition

Need help someone please help me!!

Answers

Step-by-step explanation:

g(r) = 25 - 3r

When r = 4, g(4) = 25 - 3(4) = 25 - 12 = 13.

Answer:

[tex]\boxed{\pink{\sf The\ required\ answer\ is\ 13 .}}[/tex]

Step-by-step explanation:

According to the Question , a function is given to us which is ,

[tex]\implies g(r) = 25 - 3r [/tex]

And we need to find the value of g(4) . So , substituting r = 4 , we have ;

[tex]\implies g(r) = 25 - 3r \\\\\implies g(4) = 25 - 3(4) \\\\ \implies g(4) = 25 - 12 \\\\\boxed{\red{\tt\implies g(4) = 13 }}[/tex]

Hence the required answer is 13.

Write a polynomial for the given real-world situation. If the length of a rectangle is 3x^2-4x+5 and the width is 2x + 1, write and simplify a polynomial expression for the area of the rectangle. 3 points for mathematical process and 2 points for correct answer.

Answers

Answer:

[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]

Step-by-step explanation:

Given that:

Length of a rectangle = [tex]3x^2-4x+5[/tex]

Width of rectangle = [tex]2x + 1[/tex]

To find:

Simple polynomial expression for finding the area of rectangle.

Solution:

First of all, we should know about the formula for finding the area of rectangle. Then we should know how to multiply two polynomials.

Formula for area of a rectangle in terms of its length and width is:

[tex]Area= Length \times Width[/tex]

Putting the given values:

[tex]Area = (3x^2-4x+5)(2x+1)[/tex]

Here, we can use the distributive property of multiplication for finding the value of the above multiplication expression.

[tex](A+B)\times (C+D) = A\times C + A\times D+ B\times C + B \times D[/tex]

Therefore, the multiplication of above polynomials can be written as:

[tex]Area = (3x^2-4x+5)(2x+1)\\\Rightarrow Area = 3x^2(2x+1)-4x(2x+1)+5(2x+1)\\\Rightarrow Area = 6x^3+3x^{2} -8x^{2} -4x+10x+5\\\Rightarrow Area = 6x^3+-5x^{2} +6x+5[/tex]

Therefore, the answer is:

[tex]Area = 6x^3+-5x^{2} +6x+5[/tex]

Write a 3-digit number that can be divided by 3 but not by 10.

Answers

Answer:

Hi

999

Step-by-step explanation:

• How many terms are in this expression? What
are they?
6x + 4y - 9
Please help

Answers

There are 3 terms and the terms are 6x, 4x, and -9

what type of transformation is described by (x,y)-(x+2,y+3)​

Answers

Answer:

reflection across the x axis.

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

What is the answer to this math problem it's confusing? 40-(27+3)/2

Answers

Answer:

Anwsers is 25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

Use the correct order of operations.

40 - (27 + 3)/2 = 40 - 30/2 = 40 - 15 = 25

Answer: 25

50 to the 9th power.

Answers

Answer: 1.953125e+15

Step-by-step explanation:

50 with a small 9 at the top

Last year, Nancy bought a mountain bike for $570. Her bike has depreciated since she bought it. It is now worth $410. What percent did the value of Nancy’s bike depreciate over the past year? Round the the nearest whole percent.

Answers

It’s worth about 72% of the original value so about a 28% depreciation over the year

The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the standard deviation is 3.1 years. Use the empirical rule (68-95-99.7\%) to estimate the probability of a gorilla living between 11.5 and 27 years.

Answers

Answer:

go to a called math and  way but without  the space or the and

Step-by-step explanation:

Answer:

97.35%

Step-by-step explanation:

Khan academy

​If six people share 4 pints of lemonade equally, how much ​lemonade will each person receive? ​​

Answers

Answer:

1.5

i think

Step-by-step explanation:

plzzzzzzzzzzzzzzzzzzzzzzzz

Answers

Happy new year have a good day

1) Graph the quadratic function given in standard form and identify the key features. Include at least 5 points on your
graph.
y = -x2 - 2x + 1
Axis of Symmetry:
Vertex:
Y-intercept:
Domain:
Range:

Answers

Answer:

Please find attached the graph of the quadratic function is created using Microsoft Excel

1) The line of symmetry is x = -1

2) The vertex is (-1, 2)

3) The y-intercept is (0, 1)

4) The domain is -∞ ≤ x ≤ ∞

5) The range is 2 ≥ y ≥ -∞

Step-by-step explanation:

The given equation is y = -x² - 2·x + 1

The general vertex form is y = a·(x - h)² + k

h = -b/(2·a) = 2/(-2) = -1

k = f(h) = -(-1)² - 2×(-1) + 1 = 2

Therefore;

1) The line of symmetry goes through the vertex and the line of symmetry is x = -1

2) The vertex = (h, k) = (-1, 2)

3) The y-intercept is the coordinate of the point where x = 0 which is  (0, 1)

4) The domain are the possible x-values, therefore, the domain = -∞ ≤ x ≤ ∞

5) The range is the possible values y-values.

From the graph, we have the range = 2 ≥ y ≥ -∞

The graph of the quadratic function is created using Microsoft Excel by generating y-values based on the equation and using the graphing function to insert a two dimensional graph of the generated combination of x and y values as shown in the attached figure.

write - 1/2x+ y = 10 in slope-intercept form,​

Answers

Answer:

y = 1/2x + 10

Step-by-step explanation:

y = mx + b (slope intercept form equation)

-1/2x + y = 10

+1/2x         +1/2x (What you do to one side must be due to the other)

y = 10 + 1/2x or y = 1/2x + 10 (use to commutative property to swap the terms)

y = 1/2x + 10 (therefore this is in slope intercept form)

A box of cereal has a width of 4 inches, and a length of 8 inches and a height of 12 inches. What is the volume of the box, in cubic inches?

A box has a width of 4 inches, a length of 8 inches, and a height of 12 inches.
Use the formula V = l w h, where V represents the volume, l represents the length, w represents the width, and h represents the height.

Answers

Answer:

Volume=384 inches squared

Step-by-step explanation:

Multiply the width to the length. Therefore it would be 32. Next you multiply 32 to your height, giving you an answer of 384

Simple. 12in cubed.

Also if u wanted me to be VERY specific as to what 12in cubed equals it would be 1728.

the points (-5,4)and (1,r) lie on a line with slope -1. Find the missing coordinates r.

Answers

Answer:

R has to be -2

Step-by-step explanation:

So to find a slope the formula is written as

Y2-Y1/ X2 -X1

We know X1 and X2 and Y1.

If we plug those in and put Y2 as the variable ”r”

You’ll get

[tex]\frac{r-4}{1+5}[/tex]

Now make that equal to -1 since thats the slope

If you solve the equation it should get you -2

50KM into CM.Full step pls​

Answers

Answer:

Step-by-step explanation:

1km = 100000cm

50 km = 50 x 100000 = 5000000cm

Can someone help me

Answers

Answer:

ok sooo just go over the grfat and mm  count it up to the dot.

Step-by-step explanation:

given the graphs of f(x)=5x+1 and g(x)=x+5, find the solution to this system of equations
y=-5x=1
y-x=5
a. (0,1)
b.(0,5)
c. (1,6)
d. (-5,0)

Answers

Answer:

C. (1,6)

Step-by-step explanation:

y=5x+1

y=x+5

x+5 = 5x+1

4x = 4

x = 1

y = 1 + 5 = 6

(x,y) = (1,6)

For f(x) = 4x + 1 and g(x) = x ^ 2 - 5 , find (f o g)(4)

Answers

Step-by-step explanation:

(f o g)(x)

= f(x² - 5)

= 4(x² - 5) + 1

= 4x² - 19.

Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.

Answer:

[tex]\boxed {\boxed {\sf 45}}[/tex]

Step-by-step explanation:

When solving a composition of function composition, work from the inside to the outside.

We have the composition:

(f o g)(4)

We must start on the inside, and find g(4) first.

1. g(4)

The function for g is:

[tex]g(x)=x^2-5[/tex]

Since we want to find g(4), we have to substitute 4 in for x.

[tex]g(4)=(4)^2-5[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.

(4)²= 4*4= 16

[tex]g(4)=16-5[/tex]

Subtract 5 from 16.

[tex]g(4)= 11[/tex]

Now, since g(4) equals 11, we have:

(f o g)(4)= f(11)

2. f(11)

The function for f is:

[tex]f(x)= 4x+1[/tex]

We want to find f(11), so substitute 11 in for x.

[tex]f(11)= 4(11)+1[/tex]

Solve according to PEMDAS and multiply first.

[tex]f(11)= 44+1[/tex]

Add.

[tex]f(11)= 45[/tex]

(f o g)(4) is equal to 45.

an article bought for rupees 350 is sold at a profit of 20% find its selling price​

Answers

Answer:

420

Step-by-step explanation:

20 percent of 350 is 70, so adding that on will give us the price it is sold at for profit of 70 (20%).

Answer:

350 is our cost price and if we add our proft we get selling price

our profit=( 20/100)×350

i.e.70 so our profit is 70

then,

350+70= selling price

we get 420 as selling price

On a scavenger hunt, you find 19 out of 20 objects. Write "19 out of 20" as a fraction, a decimal, and a percent

Answers

Fraction: 19/20

Decimal: 0.95

Percent: 95%

Lena makes home deliveries of groceries for a supermarket. Her only stops after she leaves the supermarket are at traffic lights and the homes where she makes the deliveries. The graph shows her distance from the store on her first trip of the day.
Give the domain of the function and relate the domain to the relationship described

Answers

What is the greatest possible number of stops she
made at traffic lights? Answer: 3

shreya has 40 pairs of shoes stacked in boxes if a pair is 2 shoes how many shoes does shreya have

Answers

Answer:

80 shoes

Step-by-step explanation:

40 times 2= 80

will mark brainliest ~ Select the correct answer. Which function is the inverse of f(x)= x^2 – 16 if the domain is
[tex]x \geqslant 0[/tex]

Answers

Step-by-step explanation:

y = x² - 16

x² = y + 16

x = sqrt(y + 16) as x is non-negative.

Therefore f^-1(x) = sqrt(x + 16). (A)

Answer:

the answer is A

Step-by-step explanation:

solve for x
−2(x+14)+1=5

Answers

Answer:

x=-16

Step-by-step explanation:

−2(x+14)+1=5

Step 1: Simplify both sides of the equation.

−2(x+14)+1=5

(−2)(x)+(−2)(14)+1=5(Distribute)

−2x+−28+1=5

(−2x)+(−28+1)=5(Combine Like Terms)

−2x+−27=5

−2x−27=5

Step 2: Add 27 to both sides.

−2x−27+27=5+27

−2x=32

Step 3: Divide both sides by -2.

−2x

−2

=

32

−2

x=−16

Answer:

x=−16

 

Answer:

-2(x + 14) + 1 = 5

-2x - 28 + 1 = 5

-2x - 27 = 5

-2x = 32

x = -16

Pls help!!!! I will give brainilist

Answers

Answer:

I dont know bhai mara majo gonna be roky

Step-by-step explanation:

no only I did u lolamavo

1/4 , 1, 4, 16, 64, ________, ________, ________

Answers

Answer:

256, 1024, 4096

Step-by-step explanation:

Multiply the number by 4 to get the next one.

Brainliest please

I think the answer is 256, 1024,4096
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