Question 7(Multiple Choice Worth 1 points)
(02.05 MC)
Write the equation of a function whose parent function, f(x) = x + 6, is shifted 4 units to the right.
Og(x)=x-10
Og(x)=x-4
Og(x)=x+2
g(x) = x + 10
Question 8(Multiple Choice Worth 1 points)
100.05
7
2

Answer:

[tex]\huge\boxed{\sf y = -2x - 3}[/tex]

Step-by-step explanation:

m = -2

y = mx + c

(x,y) = (-5,7)

So, x = -5, y = 7

To find c, Put the values of x, y and m in the slope-intercept form.

7 = (-2)(-5) + c

7 = 10 + c

7 - 10 = c

-3 = c

c = -3

Now, put the values of m and c in the slope intercept form.

y = -2x - 3

[tex]\rule[225]{225}{2}[/tex]

Answer:

c. a[b(b + 6)+7(a²-2)]

Step-by-step explanation:

look at the pic

The equivalent expression of the expression ab² + 6ab + 7a³ - 14a is

C. a [b (b + 6) + 7 (a² - 2)]

Option C is the correct answer.

We have,

To find the expression that is equivalent to ab² + 6ab + 7a³ - 14a, we can factor out common terms from the given expression.

The common terms in the expression are "a" and "(b + 7)".

Step 1:

Factor out "a" from the expression:

ab² + 6ab + 7a³ - 14a = a(b² + 6b + 7a² - 14)

Step 2:

Factor the quadratic expression inside the parenthesis:

b² + 6b can be factored as b(b + 6)

7a² - 14 can be factored as 7(a² - 2)

Step 3:

Putting it all together, the equivalent expression is:

a [b (b + 6) + 7 (a² - 2)]

Now let's check which option matches this expression:

a. (b + 7)(b + 6)(a² - 2) - Not equivalent

b. b(b + 6) + 7(a^2 - 2) - Not equivalent

c. a[b(b + 6) + 7(a² - 2)] - Equivalent

d. a[(b + 6)(b + 7a² - 14)] -Not equivalent

Thus,

The equivalent expression is

C. a [b (b + 6) + 7 (a² - 2)]

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ7

A function assigns the value of each element of one set to the other specific element of another set. The third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively

A function assigns the value of each element of one set to the other specific element of another set.

Given the nth term of the sequence is given by the formula,

[tex]a_n = a_{(n-1)}+a_{(n-2)}[/tex]

Also, the first term and the second term of the sequence are 2 and 3 respectively, therefore, the other terms of the sequence are,

[tex]a_3 = a_{(3-1)}+a_{(3-2)}\\\\a_3 = a_2 + a_1\\\\a_3 = 3 + 2\\\\a_3 = 5[/tex]

[tex]a_4 = a_{(4-1)}+a_{(4-2)}\\\\a_4 = a_3 + a_2\\\\a_4 = 5 + 3\\\\a_4 = 8[/tex]

[tex]a_5 = a_{(5-1)}+a_{(5-2)}\\\\a_5 = a_4 + a_3\\\\a_5 = 8 + 5\\\\a_5 = 13[/tex]

Hence, the third, fourth, and fifth terms of the sequence are 5, 8, and 13 respectively.

Learn more about Function:

https://brainly.com/question/5245372

#SPJ1

The Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

It is defined as the curve which is the intersection of cone and plane. There are three major conic sections; parabola, hyperbola, and ellipse (circle is a special of type of ellipse).

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

From the graph:

a) The domain: all values of x

The range: all values of y

Except: Values at asymptotes are excluded.

Domain = (-∞, -2) U (-2, 2) U (2, ∞)

Range = (-∞, -2) U [-1, ∞)

b)

x-intercept = (-1.5, 0), (1.5, 0)

y-intercept = (0, -1)

c) Horiznotal asymptotes: y = -2

d)Vetical asymptotes: x = -2, x = 2

e) Oblique asymptotes: There is no oblique asymptotes

Thus, the Domain is (-∞, -2) U (-2, 2) U (2, ∞) and Range is (-∞, -2) U [-1, ∞) and x-intercept = (-1.5, 0), (1.5, 0) and y-intercept = (0, -1).

Learn more about the conic section here:

brainly.com/question/8412465

#SPJ1

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\mathsf{67 + x = 90^\circ}[/tex]

[tex]\mathsf{x+ 67 = 90^\circ}[/tex]

[tex]\large\textsf{SUBTRACT 67 to BOTH SIDES}[/tex]

[tex]\mathsf{x + 67 - 67 = 90^\circ - 67}[/tex]

[tex]\large\textsf{SIMPLIFY IT!}[/tex]

[tex]\mathsf{x = 90 - 67}[/tex]

[tex]\mathsf{x = 23}[/tex]

[tex]\huge\textsf{Therefore, your answer should be: \boxed{\mathsf{x = 23}}}\huge\checkmark[/tex]

[tex]\huge\textsf{Good luck on your assignment \& enjoy your day!}[/tex]

The standard deviation is 3.807.

A standard deviation (or σ) is a measure of how dispersed the data is in relation to the mean.

Given:

variance= 14.5

standard deviation = √variance

                               = √14.5

                              = 3.807

Hence, the standard deviation is 3.807.

Learn more about standard deviation here:

https://brainly.com/question/11092141

#SPJ1

Answer:

the correct answer is 0 54,577.41

Step-by-step explanation:

you needed to take the withdrawal amount divide it by 35 and divide that answer by the 4.5 percentage rate

Answer:

C. $535,528.03

Step-by-step explanation:

Trust me

Answer:

You can tell if the sum of the degrees of all the angles adds up to 180.

Answer:

slope = -2

Step-by-step explanation:

The general structure of an equation in slope-intercept form is:

y = mx + b

In this form, "m" represents the slope and "b" represents the y-intercept. Since the given equation is not in the exact slope-intercept form, we need to rearrange it to identify the slope.

y + 2x = 5                         <----- Given equation

y = -2x + 5                       <----- Subtract 2x from both sides

Now, we can see that in the "m" position, there is a value of -2. This makes the slope = -2.

Answer:

12

Step-by-step explanation:

First solve the inside brackets.

[tex]3[6-(+2)]=3[6-2]\\\\=18-6\\\\=12[/tex]

Answer:

y=2/3x±3

Step-by-step explanation:

use the formula y=MX+b m being alive b being the y intercept

Hello,

f(x) = ax + b

We know f(0) = 3 = b

a = ∆y/∆x = 3/2

equation that represents the line → y = 3/2x + 3

[tex]\huge\underline{\red{A}\green{n}\blue{s}\purple{w}\pink{e}\orange{r} →}[/tex]

The amount or the strength of force is called its magnitude.

Step-by-step explanation:

The amount or the strength of force is named magnitude.

Force is that the push or pull on an object with mass that causes it to alter its velocity. Force is an external agent capable of adjusting the state of rest or motion of a selected body. it's a magnitude and a direction.

The term which is true is magnitude. The magnitude of a force is expressed within the SI unit of force called Newton. 1 Newton is that the force which might make an object of 1 kilogram mass to  at a speed of 1 meter per second. Magnitude is essentially the most extent of size and also the direction of an object. Magnitude is employed as a typical think about vector and scalar quantities. Magnitude of earthquake is measured by Richter scale.

Hence the number or the strength of force is named its magnitude.

Learn more about force at https://brainly.com/question/12970081

#SPJ2

[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]

Find the point-slope equation of the line, with the info given

[tex]\Large\maltese\underline{\textsf{This problem has been solved}}[/tex]

Formula used, [tex]\bf y-y1=m(x-x1)[/tex]

[tex]\bf y-5=13(x-0)}[/tex] | result

[tex]\rule{300}{1.7}[/tex]

[tex]\boxed{\bf aesthetic\not101}}[/tex]

Answer:

160 boxes = 384 pounds

Step-by-step explanation:

sgshshdhdjd

Answer: Options 2, 3, 6

Step-by-step explanation:

Option 2: Correct because both sides are multiplied by 6.

Option 3: Correct because the distributive property is used on the left.

Option 6: Correct because 4 is subtracted from both sides.

The answer to the question has to be filled into the blank as

This is described as the likelihood of the test correctly rejecting the null hypothesis on the basis that the alternative hypothesis is correct.

This question requires us to fill in the blank with the details that we have been given.

Read more on statistics here:

https://brainly.com/question/14724376

#SPJ1

How to determine whether or not the paired t test is appropriate for a two-sample hypothesis is: The  two samples are independent.

Two-sample hypothesis can be defined as  a test that is conducted on two samples  so as to determine whether the two samples are independent.

A  paired t-test is appropriate when the scores are of  equal subject or  equal variances.

Therefore how to determine whether or not the paired t test is appropriate for a two-sample hypothesis is: The  two samples are independent.

Learn more about Two-sample hypothesis here:https://brainly.com/question/4232174

#SPJ1

The amount of pounds of chlorine needed is 62. 5 pounds. Option D

WE have the perimeter of a rectangle to be;

Volume = l × h × w

L = length = 50 meters

w = width = 25 meters

height = 3 meters

Substitute into the formula

Volume = [tex]50[/tex] × [tex]25[/tex] × [tex]3[/tex]

Volume = [tex]3750[/tex] cubic meters

If 0. 25 pounds of chlorine is in 15 cubic meters of water

x pounds would be 3750 cubic meters

Cross multiply

0. 25 × 3750 = 15x

937. 5 = 15x

x = [tex]\frac{937. 5}{15}[/tex]

x = 62. 5 pounds

Thus, the amount of pounds of chlorine needed is 62. 5 pounds. Option D

Learn more about volume of a rectangle here:

https://brainly.com/question/4062480

#SPJ1

The perimeter of the hexagon is 180 ft.

The area of the hexagon is 2338.3 ft

The perimeter of the polygon can be found as follows:

The polygon is a regular hexagon.

Therefore,

perimeter of the hexagon = 30 × 6 = 180 ft

Area of the hexagon = 3√3 / 2 × s²

where

Therefore,

Area of the hexagon = 3√3 / 2 × 30²

Area of the hexagon =  3√3 / 2 × 900

Area of the hexagon = 450 × 3√3

Area of the hexagon = 2338.26859022

Area of the hexagon = 2338.3 ft

learn more on polygon here: https://brainly.com/question/4014163

#SPJ1

Answer:

Step-by-step explanation:

given:f(x)=x/x+6

let, f(x)=y

y=x/x+6

interchanging the roles of x and y

or, x=y/y+6

or, xy+6x=y

therefore,inverse of f is xy+6x

The coordinates of B is (-2, 3).

In geometry, translation is the movement of a point or shape from one position to another.

Here, The translation from ΔABC to ΔA'B'C' is (x, y) → (x + a, y + b)

Now, given coordinate

A ≡ (5, 1)      ⇒       A' ≡ (6, -2)

                             A' ≡ (1+5, 1 - 3)

                      On comparing this coordinate with translation coordinate

                       (x + a, y + b), we get

                          a = 1 and b = -3

Now translation coordinates is (x + 1, y - 3),

Now, Another coordinate;

B' ≡ (-1, 0)                   and the coordinate of B ≡ (x, y)

B' ≡ (-2+1, 3-3)

On comparing this coordinate with translation coordinate (x + 1, y - 3), we get

x = -2 and y = 3

Thus, the coordinates of B is (-2, 3).

Learn more about Translation coordinate from:

https://brainly.com/question/26906246

#SPJ1

Hi !

[tex]f(x) = \frac{4}{x - 9} [/tex]

[tex]x-9[/tex] must be different from 0.

[tex]x -9 \ne0 \\ x \ne9[/tex]

[tex] = = > \: D_f=\mathbb{R}-\{9\}[/tex]

Have a nice day ;)

Answer:

710

Step-by-step explanation:

Numeration of pages goes from 1.

9 pages with 1-digit numbers, from 1 to 9.

90 pages with 2-digit numbers, from 10 to 99.

So,  2*90 + 9 = 189 digits are just used to numerate 9 + 90 = 99 pages.

The rest of numbers are 3-digit.

   [tex]\frac{(2022-189)}{3}[/tex] = 611  pages with 3-digit numbers.

Total pages = 9 + 90 + 611 = 710.

There are 6,840 different top 3 finishes.

We need to count the number of options for each position.

The number of different top 3 finishes is given by the product between the numbers of options, so we have:

20*19*18 = 6,840

There are 6,840 different top 3 finishes.

If you want to learn more about combinations:

https://brainly.com/question/11732255

#SPJ1

The solution to the expression [tex]3(5-\frac{1}{6} x)+\frac{1}{8}(32+6x)+7.3x -5*0.05x[/tex] is 27.03

An equation is an expression that shows the relationship between two or more variables and numbers.

The expression is given as:

[tex]3(5-\frac{1}{6} x)+\frac{1}{8}(32+6x)+7.3x -5*0.05x\\\\When \ x=1\frac{1}{10}=\frac{11}{10} \\\\=3(5-\frac{1}{6} *\frac{11}{10} )+\frac{1}{8}(32+6(\frac{11}{10} ))+7.3(\frac{11}{10} ) -5*0.05(\frac{11}{10} )\\\\=27.03[/tex]

The solution to the expression [tex]3(5-\frac{1}{6} x)+\frac{1}{8}(32+6x)+7.3x -5*0.05x[/tex] is 27.03

Find out more on equation at: https://brainly.com/question/13763238

#SPJ1

The numeric value of the expression for [tex]x = 1\frac{1}{10} = \frac{11}{10} = 1.1[/tex] is: 27.03.

To find the numeric value of an expression, we replace all instances of x by the desired value.

In this problem, the expression is:

[tex]3\left(5 - \frac{x}{6}\right) + \frac{1}{8}(32 + 6x) + 7.3x - 5(0.05x)[/tex]

The value of x is:

[tex]1\frac{1}{10} = \frac{11}{10} = 1.1[/tex]

Hence the numeric value of the expression is:

[tex]3\left(5 - \frac{1.1}{6}\right) + \frac{1}{8}(32 + 6(1.1)) + 7.3(1.1) - 5(0.05(1.1)) = 27.03[/tex]

More can be learned about the numeric value of an expression at https://brainly.com/question/14556096

#SPJ1

Answer:

1

Step-by-step explanation:

the mode is the number that is repeated more often than any other numbers. the given numbers are 1,2,3,4,5,6,7,8 firstly, the numbers should be counted accordingly.

the number 1 is counted as 1.

the number 2 is counted as 1.

the number 3 is counted as 1.

the number 4 is counted as 1.

the number 5 is counted as 1.

the number 6 is counted as 1.

the number 7 is counted as 1.

the number 8 is counted as 1.

after counting the numbers, the maximum number counted (or) repeated most is 1 as 1 times.

the mode of the given values is 1.

Answer:

[tex]1024x^{40}[/tex]

Step-by-step explanation:

So the first step is to add like terms since you can simplify the numerator by adding the two values sine they have the same variable and degree.

Add like terms:

[tex][\frac{8x^9}{2x}]^5[/tex]

Divide by 2x (divide coefficient by 2, subtract coefficient degrees)

[tex][4x^8]^5[/tex]

Multiply exponents and raise 4 to the power of 5

[tex]1024x^{40}[/tex]

The reason you multiply exponents is because you can think about it like this:

(4 * x * x * x * x * x * x * x * x) (this has one 4 and 8 x's because x is raised to the power of 8. Now if you do that 5 times which is what the exponent is doing you're going to have 40 x's and 8 4's. So it's essentially

(4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x) * (4 * x * x * x * x * x * x * x * x). If you group like terms you'll get (4 * 4 * 4 * 4 * 4) *  (x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x * x). Which simplifies to 4^5 * x ^ (8 * 5) which further simplifies to the answer 1024x^40

Answer:

1024x^40

Step-by-step explanation:

Apply exponent rule: (a/b)^c = a^c / b^c = (5x^9 + 3x^9)^5 / (2x)^5

Simplify:

(5x^9 + 3x^9)^5: 32768x^45

= 32768x^45 / (2x)^5

Simplify:

(2x)^5: 32x^5

= 32768x^45 / 32x^5

Divide the numbers: 32768 / 32 = 1024

= 1024x^45 / x^5

Apply exponent rule: x^a / x^b = x^a - b

x^45 / x^5 = x^45 - 5

= 1024x^45 - 5

Subtract the numbers: 45 - 5 = 40

= 1024x^40

Answer:

b

Step-by-step explanation:

The lower class boundary for the third class is 0.50.

The lower class boundary of a class can be determined by calculating the average the upper limit of the previous class and the lower limit of the given class.

The lower class boundary = ( 1296 - 1295) / 2 = 0.50

To learn more about the lower class boundary, please check: https://brainly.com/question/7949481

#SPJ1