For which pair of functions is the vertex of g(x) 2 units to the right of the
vertex of f(x)?
A. f(x) = x2 and g(x) = x2 + 2
B. f(x) = x2 and g(x) = x2 - 2
c. f(x) = x2 and g(x) = (x + 2)2
D. f(x) = x2 and g(x) = (x - 2)2

Answers

Answer 1

Answer:

D

Step-by-step explanation:

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then shift left by a units

• If a < 0 then shift right by a units

Here the shift is 2 units to the right

Then

f(x) = x² and g(x) = (x - 2)² → D


Related Questions

có bao nhiêu hình tứ giác

Answers

Answer:

si si amigo adila

Step-by-step explanation:

PLEASE HELP ME WILL MARK YPU IF YOU HELP ME

Answers

ok check image file in the image is answers with color code

What is the range of g(x) = -2 [X + 3] + 2? ​

Answers

Answer:

A.

Step-by-step explanation:

When x = -3 g(x) = + 2 and this is the maximum value of g(x).

All other values of x give a value of g(x) < 2.

The range is (-∞, 2]

Can someone please help me?

Answers

Answer:

The Answer for your question is B

Answer:

78%

Step-by-step explanation:

They are asking for spotted animals and dogs so

Spotted animals=40%

Dogs=38%

So just add them to get 78%

(Don’t get confused by the 12% spotted dogs those are from the 38%)

Select the correct answer.
Given: ABC with DE||AC
Prove: AD/DB = CE/EB​

Answers

Answer:

AB/DB = CB/EB

Step-by-step explanation:

This is the answer on Pluto. I got lucky when I guessed

The solution is given below.

What is alternate angles?

The alternate exterior angle theorem states that if two lines are parallel and are intersected by a transversal, then the alternate exterior angles are considered as congruent angles or angles of equal measure.

Here  given:  

AB II DE, AC = CE

Now, in ΔABC and ΔEDC

As,  AB II DE (given)

⇒∠BAC = ∠CED   (Alternative pairs of angles)

and  ∠ABC = ∠CDE  (Alternative pairs of angles)

and AC = CE (given)

So, by the congruent  property of AAS

(ANGLE ANGLE SIDE) which states that two triangle are congruent if two angles and one side of one triangle is equal to the two angles and one side of the other triangle.

                               ΔABC ≅  ΔEDC

to learn more on alternate angle click:

brainly.com/question/7197938

#SPJ7

complete question:

Given: AB II DE, AC = CE

Prove: A ABC = A EDC

Find the mean for the following data set: 5, 3, 6, 8, 1, 1 *

Answers

Answer:

add all the numbers

which will get you 24

then divide by how many numbers you got which will give you 6

the answer is six

Step-by-step explanation:

Hope this helps :D

Answer:

The mean is equal to 4.

Step-by-step explanation:

To find the mean of any set of numbers, you have to add all of those numbers and divide the result by however many numbers their are.

For example, the mean of 2,5,6, and 7 would be the following: 2+5+6+7/4

The mean of 5,3,6,8,1, and 1 is the following: 5+3+6+8+1+1/6=24/6=4

The mean is equal to 4.

x-value of 0
f(x) = |x|
f(x) = |x| + 3
f(x) = |x + 3|
f(x) = |x| − 6
f(x) = |x + 3| – 6

Answers

9514 1404 393

Answer:

  0, 3, 3, -6, -3

Step-by-step explanation:

Maybe you want to find f(0) in each case. Put 0 where x is, and do the arithmetic.

  f(0) = |0| = 0

  f(0) = |0| +3 = 3

  f(0) = |0 +3| = 3

  f(0) = |0| -6 = -6

  f(0) = |0 +3| -6 = -3

The vertices of a trapezoid are located at (1, 2), (3, 1), (3, 5), (1, 4). The trapezoid is translated 4 units to the right. What are the coordinates of the image of the trapezoid?

Answers

Answer:

Suppose that we have a given point (x, y)

If we translate this point N units to the right, then the new coordinates of the point are:

(x + N, y)

Ok, now if we know that the vertices of the trapezoid are:

(1, 2), (3, 1), (3, 5), (1, 4)

And we move the whole figure 4 units to the right, then all the vertices are moved 4 units to the right.

Then the new vertices of the figure will be:

(1 + 4, 2) = (5, 2)

(3 + 4, 1) = (7, 1)

(3 + 4, 5) = (7, 5)

(1 + 4, 4) = (5, 4)

Then the coordinates of the image of the trapezoid (of the new vertices) are:

(5, 2),  (7, 1), (7, 5),  (5, 4)

It is A (45). Hope this helps!

Answers

What do you need help with? :0

Choose the inequality that repersents the following graph

Answers

Answer:

B. x</=-3

Step-by-step explanation:

the arrow is pointed to the left which means less than and the end is shaded which means or equal to

If f(x) is a linear function, f(−2)=4, and f(1)=−1, find an equation for f(x)

Answers

Answer:

[tex]y = -\frac{5}{3}x+\frac{2}{3}[/tex]

Step-by-step explanation:

Given

[tex]f(-2) = 4[/tex]

[tex]f(1) = -1[/tex]

Required

The equation of the function

The given parameters means that:

[tex](x_1,y_1) = (-2,4)[/tex]

[tex](x_2,y_2) = (1,-1)[/tex]

Calculate the slope (m)

[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]

[tex]m = \frac{-1-4}{1--2}[/tex]

[tex]m = \frac{-5}{3}[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

This gives:

[tex]y =\frac{-5}{3}(x--2)+4[/tex]

[tex]y =\frac{-5}{3}(x+2)+4[/tex]

Open bracket

[tex]y = -\frac{5}{3}x-\frac{10}{3}+4[/tex]

Take LCM

[tex]y = -\frac{5}{3}x+\frac{-10+12}{3}[/tex]

[tex]y = -\frac{5}{3}x+\frac{2}{3}[/tex]

find the equation of common tangent of x²+y²=4ax and y²=4ax.​

Answers

Step-by-step explanation:

x² +4ax+y² =0

x² +4ax+4a² +y² =4a²

(x+2a) ² +y² =4a² ......(i)

y² =4ax.........(ii)

By tracing the circle and the parabola we can clearly see that they touch each other along the y axis

So the equation of common tangent is x=0.

Find the lowest common multiple of 10 and 12

Answers

It is 2


2(5) is 10 2(6) is 12. Lower than that is 1 and that is not viable
The lowest common multiple is 60

Lydiagrace33

Image attached
A) 1 point Write an inequality for this graph . Use the shift key and the key or key to type the < or > symbol . *

B) Water boils when the temperature is at least 212 degrees F. Which inequality shows this situation ?

C) When the temperature drops below 50 degrees F , crickets usually stop chirping . Which inequality shows this situation ?

D) Explain the difference between the meaning of a closed
circle and an open circle on a graph of an inequality .

Answers

x is greater than -1.5
D
A
a closed circle shows that the variable can be equal to the number it is on, and an open circle shows that it cannot
Hope this helps!

Find the area of the parallelogram below

Answers

Step-by-step explanation:

area of the parallelogram = 7 × 14

=98 cm²

Answer: 98

Explanation: To find the area of a parallelogram, you need to multiply the base and the height. The base in this case is 14, and the height is 7. The only number that will not be used is 9. This will not be used as the height since it it slanted.

Equation: 7x14=98


Hope this helps!

The list price on slacks is $22, and the list price on jumpers is $37. If Petit’s Clothing Store orders 30 pairs of slacks and 40 jumpers at a discount rate of 11%, what is the trade discount on the purchase?

Answers

Step-by-step explanation:

Calculate the value of decimal equivalents of complements, net decimal equivalent and net price with the help of given data:

List price= $200

Trade discount series= 20/10

Calculate the decimal equivalents of complements using given formula:

Complements of successive discount = 

= 80% / 90%

Hence, decimal equivalent of complements are 80% / 90%.

Answer:

Trade discount = $235.40

Step-by-step explanation:

List price :

Slacks = 22

Jumpers = 37

Total amount before discount = (30 x 22) + ( 40 x 37)

                                              = 660  +  1480

                                              = 2140

Discount rate = 11%

So,

  [tex]Discount \ price = 11 \% \ of \ 2140\\\\Discount \ price = \frac{11}{100} \times 2140 = 235.40[/tex]

. How much time, in minutes, did she spend studying Spanish?

The time Kathleen spent studying Spanish is


SEE IMAGE BELOW AND ONLY ANSWER IF YOU KNOW THE ANSWER

Answers

2/3 because it is and i say so

At a basketball game, a vender sold a combined total of 101 sodas and hot dogs. The number of sodas sold was 37 more than the number of hot dogs sold. Find
the number of sodas sold and the number of hot dogs sold.

Answers

Answer:

101 - 37 = 64

I hope this is correct

Help need help fast

Answers

Answer:

Answer is in bold form

Step-by-step explanation:

Given

radius = 3feet

Height = 6feet

Volume of the cylinder = πr²h

Volume of the cylinder = 3.14 * 3² * 6

Volume of the cylinder = 169.56ft³

volume of the cone = Volume of cylinder/3

volume of the cone = 169.56/3

volume of the cone = 56.52ft³

Volume of the sphere = 4/3πr³

Volume of the sphere = 4/3*3.14*(3)³

Volume of the sphere = 4 * 3.14* 9

Volume of the sphere = 113.04ft³

Are these triangles congruent?

Answers

Answer:

yes...

Step-by-step explanation:

its a congrate triangle

Yes the triangles are congruent because they have the same sides but not the same lengths and width.

the temperature of a cup of coffee obeys newton's law of cooling. The initial temperature of the coffee is 150F and 1 minute later it is 135F. The temperature of the room is 70F. If T(t) represents the temperature of the coffee at time T the correct differential equation for the temperature for this condition is

Answers

Answer:

Newton's law of cooling says that:

T(t) = Tₐ + (T₀ - Tₐ)*e^(k*t)

or:

[tex]\frac{dT}{dt} = -k*(T - T_a)[/tex]

in the differential form.

where:

T is the temperature as a function of time

Tₐ  is the ambient temperature, in this case, 70F

T₀ is the initial temperature of the object, in this case, 150F

k is a constant, and we want to find the value of k.

Then our equation is:

T = 70F + (150F - 70F)*e^(k*t)

Now we also know that after a minute, or 60 seconds, the temperature was 135F

then:

135F = 70F + (150F - 70F)*e^(k*60s)

We can solve this for k:

135F = 70F + 80F*e^(k*60s)

135F - 70F = 80F*e^(k*60s)

65F =  80F*e^(k*60s)

(65/80) = e^(k*60s)

Now we can apply the Ln(x) function to both sides to get:

Ln(65/80) = Ln(e^(k*60s))

Ln(65/80) = k*60s

Ln(65/80)/60s = k = -0.0035 s^-1

Then the differential equation is:

[tex]\frac{dT}{dt} = -0.0035 s^-1*(T - 70F)[/tex]

Find tan 0, where is the angle shown. Give an exact value, not a decimal approximation. (PLZ HELP DUE SOON I GIVE BRAINLIST :D)​

Answers

Answer:

[tex]\frac{24}{7}[/tex]

Step-by-step explanation:

Tanθ=Opposite/Adjacent

we have the adjacent side but need the oppsoite

We will use a²+b²=c²

25²=7²+b²

576=b²

b=24

Therefore the answer is

[tex]\frac{24}{7}[/tex]

f(x)=3x-3

g(x) 3x^3+5
Find F(-3) and g(-2)

Answers

Answer:

f(-3) = -12

g(-2) = -19

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

FunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 3x - 3

g(x) = 3x³ + 5

f(-3) is x = -3 for function f(x)

g(-2) is x = -2 for function g(x)

Step 2: Evaluate

f(-3)

Substitute in x [Function f(x)]:                                                                           f(-3) = 3(-3) - 3Multiply:                                                                                                             f(-3) = -9 - 3Subtract:                                                                                                            f(-3) = -12

g(-2)

Substitute in x [Function g(x)]:                                                                         g(-2) = 3(-2)³ + 5Exponents:                                                                                                        g(-2) = 3(-8) + 5Multiply:                                                                                                            g(-2) = -24 + 5Add:                                                                                                                   g(-2) = -19

Answer:

f(-3) = -12

g(-2) = -19

Step-by-step explanation:

1.

f(x) = 3x - 3

One is asked to find (f(-3)), substitute (-3) into the given function (f) in place of (-3), and solve to evaluate,

f(-3) = 3(-3) - 3

Simplify,

= -9 - 3

= -12

2.

g(x) = [tex]3x^3+5[/tex]

The problem asks one to find (g(-2)), subtitute (-2) into the function in place of (x) and solve to find tis value,

g(-2) = [tex]3(-2)^3+5\\[/tex]

Remember any number raised to an exponent is equal to the base (the number that is being raised to the exponent) times itself the number of times that the exponent indicates,

[tex]=3(-8)+5\\=-24+5\\=-19[/tex]

A triangle has side lengths of 24 centimeters and 35. The third side has a length of x centimeters. Complete the inequality to show all the possible values of x.

*2 answers*

Answers

Answer: [tex]11<x<59[/tex]

Step-by-step explanation:

Given

The side of the triangle are [tex]24\ \text{and }35[/tex]

Suppose the third side is [tex]x[/tex]

Also, the sum of the two sides of the triangle is always greater than the third

[tex]\therefore x<24+35\\\Rightarrow x<59\quad \ldots(i)[/tex]

Similarly,

[tex]\Rightarrow x+35>24\\\Rightarrow x>-11[/tex]

Also,

[tex]\Rightarrow x+24>35\\\Rightarrow x>11\quad \ldots(ii)[/tex]

From (i) and (ii) we get

[tex]\Rightarrow 11<x<59[/tex]

Jenny made 200 bracelets. She sold 64% of the bracelets at a craft fair.
a. How many bracelets did she sell?
b. How many bracelets were not sold?

Answers

Step-by-step explanation:

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Answer:

Jenny sold 128 braclets. 72 bracelets weren't sold.

Step-by-step explanation:

IMPORTANT FORMULA: TO CONVERT A NUMBER TO A PERCENT, YOU HAVE TO MULTIPLY BY 100. TO CONVERT A PERCENT TO A NUMBER, YOU HAVE TO DIVIDE BY 100.

a) How many bracelets did she sell?

Using the formula that is shown above, I can conclude that 64%=64/100=32/50=16/25

Jenny sold 64% of the 200 bracelets.

In mathematics, the word "of" means multiplication.

64% of 200 = 16/25 * 200 = 128

Jenny sold 128 braclets.

to answer part 2, 200 bracelets - 128 bracelets = 72 bracelets.

72 bracelets weren't sold.

Identify the type of observational study​ (cross-sectional, retrospective, or​ prospective) described below. A research company uses a device to record the viewing habits of about 7500 ​households, and the data collected today will be used to determine the proportion of households tuned to a particular sports program. Which type of observational study is described in the problem​ statement?

Answers

Answer:

Cross sectional study

Step-by-step explanation:

Cross sectional study, also known as traverse or prevalence study caloukdnbe defined as a form of observational study which involves analysing a certain sample of data which is selected based on a variable of interest. This data is collected at a given point in time across the sample population. In the scenario described above, the record of viewing habit of 7500 household smoke obtained today(point in time) will be used to determine the proportion tuned to a particular sport programme. (data collected is based on the variable to be analyzed).

A right cone has a surface area of 440 square inches and a radius of 7 inches. Find its slant height.

Answers

Answer:

13 inches

Step-by-step explanation:

Surface area of a right cone = pi*r(r+L)

i,e, 440 = 22/7*7(7+L)

440 = 22(7+L)

440 = 154 + 22L

440 - 154 = 22L

286 = 22L

286/22 = L

13 = L

Therefore the slant height is 13inches

Hope u understand

Thank You

Point B has coordinates (4,2). The x-coordinate of point A is - 1. The distance between point A and
point B is 13 units. What are the possible coordinates of point A?

Answers

Answer:

A (-1,-10) ; A (-1,14)

Step-by-step explanation:

[tex]\sqrt{(-1-4)^2 + (y-2)^2} = 13 \\ 25 + y^2 + 4 -4y = 169[/tex]

y^2 -4y - 140 = 0

Δ/4 = 4 + 140 = 144

y1 = 2 + 12 = 14

y2 = 2 -12= -10

Hello, I need help with this math question please

Answers

Option B:-  x = -3/2 or x = 2

HELP !!!! look at the picture

Answers

Answer:

Option C:

g(x) = -3^x

Step-by-step explanation:

Here we can see the graphs of f(x) and the graph of g(x).

By only looking at that, we can see that g(x) is a reflection across the x-axis of f(x).

Remember that for a general function f(x), the reflection across the x-axis is written as:

g(x) = -f(x).

Then, if f(x) = 3^x

and g(x) = -f(x)

replacing f(x) we get:

g(x) = -(3^x) = -3^x

The correct option is C.

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