The graph of g(x) is a translation of the function f(x) = x2. The vertex of g(x) is located 5 units above and 7 units to
the right of the vertex of f(x). Which equation represents g(x)?

Answers

Answer 1

Answer:

The function [tex]g(x) = x^2 - 10 x + 32[/tex]

Step-by-step explanation:

(h, k) = (5, 7)

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

[tex]y = x^2[/tex]

By replacing y = y - 7 and x = x -5, we get the function g(x).

[tex]y - 7 = (x - 5)^2\\\\y - 7 = x^2 + 25 - 10 x \\\\y = x^2 - 10 x + 32\\\\g(x) = x^2 - 10 x + 32[/tex]

Answer 2

Answer:b

Step-by-step explanation: i took the test


Related Questions

A pharmaceutical company interviews 12 people for eight openings in the research department of the company. 7 of the 12 people are women. If all 12 are qualified, in how many ways can the employer fill the 8 positions if
(a) the selection is random

Answers

Answer:

7

Step-by-step explanation:

Kendal is doing her science homework. For each problem, she uses 3/4 of a sheet of paper. How many sheets of paper will she need to complete 12 problems? * 1 ຄະແນນ A. 6 sheets B. 7 1/2 sheets C. 9 sheets D. 10 1/2 sheets

Answers

Answer:

C)

Step-by-step explanation:

3/4 · 12 = 9

Write the decimal -0.43 as a fraction in simplest form​

Answers

Answer:

-0.43/100

Step-by-step explanation:

then divide those two numbers by a number that they both can be divided by/the GCF

John saved $33. which was 30% of
the money he eamed. How much did
he earn in total?

Answers

Answer:

money earned = 110

Step-by-step explanation:

Money earned * percent saved = money saved

money earned * 30% = 33

Change to decimal form

money earned * .30 = 33

Divide each side by .3

money earned = 33/.3

money earned = 110

I would work it out in ratio form
33 = 30

11 = 10 (easiest way is to X by 10)
22= 20
33= 30 (what you have)
44= 40
55= 50
66= 60
77= 70
88= 80
99= 90
110=100 (what your trying to find)

the diameter of a circle is 12 centimeters. What is the circumference?

Answers

Answer:

the circumference is 37.7 cm

Answer:

circumference = 37.7

Step-by-step explanation:

in the photo I explained the formula of how to find the circumference

LIVE
Carlos is saving money to buy a set of golf clubs that cost $530. He already has $80.00 saved and can earn the rest of the money by mowing 15
lawns. If m represents how much he earns for mowing each lawn, which of the following equations can be solved to find how much Carlos is paid for
mowing each lawn?

Answers

Answer:

15m+80 would be the correct equation

Answer:

15*m=(530-80)

Step-by-step explanation:

30$ per lawn. 530-80=450. This gives us how much money he still needs to buy his gulf clubs. But, the question says that Carlos can earn the rest of the money ($450) by mowing 15 lawns.

Here's how we model that as an expression:

15m=(530-80)

15 lawns for m dollars would get him 530-80 (450) or the remaining amount.

Hope this helps!

-5(x+7)<-10 write an inequality for x

Answers

Answer:

x > -5

Step-by-step explanation:

[tex]-5(x+7)<-10\\x+7>2\\x>-5[/tex]

Answer:

x > -5

Step-by-step explanation:

-5 (x+7) < -10

The next step is to divide both sides by -5 and flip the sign

(x+7) > [(-10/(-5)]

x+7 > 2

Finally, subtract both sides by 7

x > 2-7

x > -5

Simplify
[tex] \frac{6 { {}^{7} }^{} }{6 {}^{5} } [/tex]
Leaving answer in index form

Answers

Answer:

[tex]6^{7-5} = 6^2[/tex]

Step-by-step explanation:

Answer:

36.

Step-by-step explanation:

6^7 / 6^5

= 6^(7-5)

= 6^2

= 36.

the problitiy is that a sweet stawberry flavor is 0.8 what is the problity is that a sweet is orang flavor what is anwer

Answers

Answer:

0.2 or less

Step-by-step explanation:

since there is no explanation whether the rest of the sweets are orange or not, the probabilty of it is 1-0.8=0.2 or less

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

Assuming that there are only 2 flavors of the sweet strawberry & orange.

____________________

P (strawberry flavored sweet) = 0.8

P (orange flavored sweet) = ?

____________________

Now, we know that the value of probability ≤ 1. So, the probability of orange flavored sweets is less than 1.

____________________

So,

P (orange flavored sweet) = 1 - P (strawberry flavored sweet)

P (orange flavored sweet) = [tex]\large\bold{1.0 - 0.8}[/tex]

P (orange flavored sweet) = [tex]\large\bold{0.2}[/tex]

____________________

The probability that the sweet is orange flavored is 0.2

____________________

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

The diagram shows a right-angled triangle.
hcm
12 cm
47°
What is the value of h?
Give your answer correct to 1 decimal place.​

Answers

Answer:

[tex] \cos(47 \degree) = \frac{h}{12} \\ h = 12 \cos(47 \degree) \\ h = 8.2 \: cm[/tex]

you need to use cos

function

please help me solve

Answers

Answer:

Step-by-step explanation:

take angle A as reference amgle

using cos rule

cos A=adjacent/hypotenuse

0.9659=c/25

0.9659*25=c

24.1475=c

solve for b: -5-b < 3

Answers

Answer:

b < -2

Step-by-step explanation:

-5 - b < 3

-5 - b + -5 < 3 + -5

b < -2

please help break it down

Answers

Answer:

18

Step-by-step explanation:

g(x) = x^2

g(3) = 3^2 =9

g(-3) = (-3)^2 = 9

g(3) + g(-3) = 9+9 =18

Answer:

18

Step-by-step explanation:

g ( x) = x²

g ( 3 ) = ( 3 )² = 9

g ( -3 ) = ( - 3 )²

g ( - 3 ) = 9

g( 3 ) + g ( -3 ) = 9 + 9 = 18

An envelope has an area of 40 square inches and a perimeter of 28 inches. What are the dimensions of the envelope?

Answers

Answer:

10 inches by 4 inches

Step-by-step explanation:

Area of envelope, A = 40 in²

Perimeter of envelope, P = 28 in

Area = Length * width, L*W

Perimeter = 2(L + W)

40 = LW - - - (1)

28 = 2(L+W)

28/2 = L+W

14 = L+W - - - (2)

Solving like a quadratic equation ;

We need two numbers whose sum gives 14 and product gives 40

The numbers are 10 and 4

(10*4) = 40 and (10+4) = 14

x^2 - 81y^2

can someone please answer this ?​

Answers

Answer:

Since both terms are perfect squares, factor using the difference of squares formula.

(x+9y)(x−9y)

Answer:

Step-by-step explanation:

x^2-81y^2

=(x)^2-(9y)^2

=(x-9y)(x+9y)

What is the equation of the line that passes through the point (-8,5) and has a slope of -1/4​

Answers

Answer:

[tex]y=\frac{-1}{4} x+3\\[/tex]

Step-by-step explanation:

[tex](y-5)=\frac{-1}{4} (x--8)\\(y-5)=\frac{-1}{4} (x+8)\\y=\frac{-1}{4} x-\frac{8}{4}+5 \\y=\frac{-1}{4} x-2+5\\y=\frac{-1}{4} x+3\\[/tex]

See the picture! Hope it helps!

solve for b (exact values) i got 2 sqrt 3 / 3 = b but i’m not sure if it’s right :(

Answers

Answer:

tan30°= opp÷adj = b÷1/2 =0.577=b÷0.5 then, b=0.2885

find the square of the number 5/6

Answers

Answer:

25

----

36

Step-by-step explanation:

Square both the numerator and the denominator of this fraction, 5/6:

25

----

36

The sqaure will be like this;

= 5/6 × 5/6

= 25/36

EASY!!

Find the measure of each interior angle and each exterior angle of the indicated regular polygon. 25-gon

Answers

Each exterior angle of a regular 25-gon = 360/25 = 14.4 deg. and each interior angle= 165.6 deg.

The exterior angles add to 360
25x = 360
x = 360 / 25 = 14.4 degrees
Interior angle = 180 - 14.4 = 165.6 degrees

You could find the interior angles first
Sum interior angles = 180(n - 2)
Each interior angle = 180 x (25 - 2) / 25 = 165.6 degrees

Expand and simplify (X+2)(x+3)(x+6)

Answers

Answer:

x³ + 11x² + 36x + 36

Step-by-step explanation:

(x+2)(x+3)

x² + 3x + 2x + 6

x² + 5x + 6

(x² + 5x + 6)(x+6)

x³ + 6x² + 5x² + 30x + 6x + 36

x³ + 5x² + 6x² + 30x + 6x + 36

x³ + 11x² + 36x + 36

Select the correct answer from each drop-down menu.
The number 5 is
BIS
May than -1; because - lies
on a vertical number line.
Reset
Next
less
greater

Answers

Answer:

The number -7/5 is greater than -1 1/5

Answer:so -7-5 is graeter than  - 1 /1/5 and it above 1/1/5

Step-by-step explanation:

0
Homework Progress
107 / 285
A sequence has three terms.
Its term-to-term rule is
multiply by 6 and then add 13
a) The first term of the sequence is -2
Work out the third term.
b) The order of the three terms of the sequence is reversed.
Describe the term-to-term rule of the new sequence.
Submit Answer​

Answers

Answer:

It's C

Step-by-step explanation: I took the test and got it wrong

The third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex] is reversed will be [tex]$\frac{a-13}{6}$[/tex].

What is a sequence?

The sequence exists in a particular order in which connected things follow each other.

The term-to-term rule of the sequence stands 6a+13, where a stands for the first term First-term a = -2

Second term b will be [tex]$-2*6+13=1$[/tex]

The rule for the third term will be 6b+13, where b will be the second term. So the third term will be [tex]$6* 1+13=19$[/tex]

So, the sequence will be [tex]$-2,1,19 \ldots \ldots . .$[/tex]

If the order of the above sequence stands reversed, the new sequence will be [tex]$19,1,-2 \ldots \ldots .$[/tex]

If we subtract 13 from first term 19 and then divide by 6 we will get 1 which stands for the second term of the new sequence [tex]$19,1,-2 \ldots \ldots .$[/tex]

So a new term-to-term sequence rule will be [tex]$\frac{a-13}{6}$[/tex] where a stands for the first term.

Therefore, the third term of the given sequence exists 19.

Term to term rule when the sequence [tex]$-2,1,19 \ldots .$[/tex]  exists reversed will be [tex]$\frac{a-13}{6}$[/tex].

To learn more about sequence

https://brainly.com/question/12200498

#SPJ2

help finding the area

Answers

Answer:

1,100 is your area

Step-by-step explanation:

First we cut the shape into three, two triangles and a square, the formula to find the area of a square is A=a^2 (a is the side)

A=25^2

A=625

now to find the triangles the formula to find the are we use the right angled triangle formula twice which is A=a*b/2

A=25*19/2

A=475/2

A=237.5

now add them all up

625+237.5+237.5=

1,100

In the diagram, the measure of angle 6 is 989
1/2
43
516
817
What is the measure of angle 7?

Answers

Answer:

82 degrees is the answer

Step-by-step explanation:

angle 6 and 7 are adjacent angles and adjacent angles add up to 180 deg. thus

angle 7 = 180 - 98 = 82 deg

The measure of ∠6 and ∠7 are on a straight line. This means there sum is equals to 180 degrees. Therefore, the measure of ∠7 is 82 degrees.

What is the sum of angle on a straight line?

The sum of angle on a straight line is 180 degrees. This simply means the total angle on a straight line is 180 degrees.

∠6 = 98 degrees

Therefore,

∠6 + ∠7 = 180°(angles on a straight line)

∠6 = 98 degrees

Hence,

98 + ∠7 = 180

subtract 98 from both sides

98 - 98 + ∠7 = 180 - 98

∠7 = 82 degrees.

learn more on angle on a straight line here: https://brainly.com/question/16025966

The lines represented by the equations y = 5x + 7 and 25y - 5x = 125 are

Answers

Answer:

The lines are parallel because they have the same slope(5x)

First answer gets brainliest

Answers

Answer:

Step-by-step explanation:

First blank is 4

second blank is 2/4

third blank is 4

fourth blank is 9

Answer:

first blank : increase

second blank : +2

third blank : -1

fourth blank : 4

fifth blank : 5

Step-by-step explanation:

Complete the missing parts of the
table for the following function.
y = ()*
X-2 -1
0 1 2 3
y 36 [?] 1 1
1
216

Answers

Answer:

Remember the property:

a^-1 = (1/a)^1

and:

(a/b)^n = (a^n)/(b^n)

A table for a function like:

[tex]\left[\begin{array}{ccc}x&f(x)\\&\\&\\&\\&\end{array}\right][/tex]

Is just completed as:

[tex]\left[\begin{array}{ccc}x&f(x)\\x_1&f(x_1)\\x_2&f(x_2)\\x_3&f(x_3)\\x_4&f(x_4)\end{array}\right][/tex]

So, here we have:

y = f(x) = (1/6)^x

To complete the table, we need to find:

f(-1)

and

f(2)

So let's find these two values:

f(-1) = (1/6)^-1 = (6/1)^1 = 6

and the other value is:

f(2) = (1/6)^2 = 1/36

Then the complete table is:

[tex]\left[\begin{array}{ccc}x&f(x)\\-2&36\\-1&6\\0&1\\1&1/6\\2&1/36\\1&1/216\end{array}\right][/tex]


Which tables could be used to verify that the functions they represent are inverses of each other? Select two
options.

Answers

Answers:  C and D

Why? Because they are mirrors of each other. In other words, one table has its x and y row swapped compared to the other table.

The input x = -120 leads to the output y = 627 in table C. Then in table D, we have the input x = 627 to go the output y = -120. Refer to the first column of each table mentioned. The same applies for the other columns as well. The inverse table undoes everything the original table does.

The tables that could be used to verify inverse functions are tables C and D

What are inverse functions?

The inverse of a function are the opposites of the function

From the list of options, we can see that:

The x values of table C are the y values of table D

Also, the x values of table D are the y values of table C

This means that tables C and D are inverse functions

Hence, the tables that could be used to verify inverse functions are tables C and D

Read more about inverse functions at:

https://brainly.com/question/14391067

Find tan 0, where is the angle shown give an exact value not a decimal approximation plz help due soon !

Answers

Answer:

tanθ = [tex]\frac{15}{8}[/tex]

Step-by-step explanation:

let the unknown side be x , then

Using Pythagoras' identity in the right triangle

x² + 5² = 17²

x² + 25 = 289 ( subtract 25 from both sides )

x² = 225 ( take the square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

Then

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{15}{8}[/tex]

What is the value of x?

Answers

Answer:

x =127

Step-by-step explanation:

Since this is a 6 sided figure, the sum of the interior angles is 720

128+133+112+x+120+100 = 720

Combine like terms

x+593=720

Subtract 593 from each side

x+593-593 = 720-593

x =127

Hint :

Sum of angles of the 6 sided figure = [tex] {720}^{o} [/tex]

Answer:

[tex] {x}^{o} = {127}^{o} [/tex]

Step-by-step explanation:

[tex] {x}^{o} + {112}^{o} + {133}^{o} + {128}^{o} + {100}^{o} + {120}^{o} = {720}^{o} \\ {x}^{o} + {593}^{o} = {720}^{o} \\ {x}^{o} = {720}^{o} - {593}^{o} \\ {x}^{o} = { 127}^{o} [/tex]

Hope it is helpful....
Other Questions
Swifty Football Co. had a player contract with Watts that is recorded in its books at $8340000 on July 1, 2020. Blossom Football Co. had a player contract with Kurtz that is recorded in its books at $10700000 on July 1, 2020. On this date, Swifty traded Watts to Blossom for Kurtz and paid a cash difference of $1070000. The fair value of the Kurtz contract was $12600000 on the exchange date. The exchange had no commercial substance. After the exchange, the Kurtz contract should be recorded in Swifty's books at:_______. 37. A baseball is pitched at a speed of 40 m/s. How long does it take the ball to travel 27meters from the pitcher's mound to home plate? Area = nm? 6 mm b b b= mm please help solve for the missing sides 30-60-90 triangle show work please and thank you Please help I'll give Brainliest!!!!Describe the shape of the land where you live. What is the nearest body of water? (2 points) How detailed is your mental map of where you live? (1 point) What words would you use to describe the dominant culture of your town? (2 points) Name at least one counterculture in your town or neighborhood. (2 points) What are some of the social norms in your town or neighborhood? Try to think of some that might be unique to your area. (3 points) Describe how cultural diffusion from other areas has affected your neighborhood. (Hint: Look at food, clothing, and music.) (2 points) What part of your local culture might give a foreigner culture shock? (2 points) How would you describe the population density of your town or neighborhood? (2 points) What other areas of the world do you think your town or neighborhood is similar to? (4 points) What advantage does a corporation have over a sole proprietorship or a partnership?a) It's not considered a separate legal entity from the people who own it.b)It's not subject to double taxation, whereby the business income is taxed, and then the owners are taxed.c)It's faster to establish and doesn't require the permission of the state or federal government.Correct Answer:d)The business is responsible for its debt, not the people who own the business. An expression equivalent to 4 - 2 (x + 5) A sample of O2 gas is put into a bottle at STP. If the volume of the bottle is 0.52 L, how many moles of O2 will the bottle contain?please help!! No links please...... Vincent has $5 bills and $20 bills. He has a total of 24 bills and the total amount is $210. How many $5 bills does he have?Help pls CINDY IS A HOSTESS AT A COUNTRY CLUBON THE WEEKENDS. SHE WORKED 3 HOURSON FRIDAY NIGHT AND 5 HOURS ONSATURDAY. IF SHE EARNED A TOTAL OF$105 THIS WEEKEND AND IS PAID THE SAMEAMOUNT EACH HOUR SHE WORKS, HOW MUCHDOES SHE EARN PER HOUR? IN NEED OF HELP WITH ELECTRICITY & CIRCUITS PLEASE!!6. Describe the energy transformations that occur in a circuit that includes a battery, wire, and anincandescent light bulb.7. How can you determine if a circuit is a series circuit or a parallel circuit?8. What changes might you make to a circuit in order to slow the flow of electrical energy?which contains all the circuit9. Many electronic devices use a(n)parts in a miniature form.10.design electrical circuits for larger power grids and for all kinds of devicessuch as phones, televisions, robots, electric cars, and computers. What is one characteristic of a complex sentence?A. It states an author's purpose for writing as well as his or heropinion on a toploB. It has at least one dependent and one independent clauseO. It contains two or more simple sentences joined togetherD. It consists of one olause covering one main idea -4.3 + x equals 0 selected place on the number line to positive value of x Why is meiosis important for organisms? a. Name two different ways to name the plane shown in the figure.b. Name any three collinear points in the plane.c. Name any two intersecting lines in the given plane. Can someone help me out with this it's on desmos- ;-; A bike ramp is in the shape of a right triangle. What is the height of the ramp? Ramp 10 ft 8 ft O A. 13 ft B. 36 ft O C. 18 ft O D. 6 ft Which is a direct benefit of prohibiting nicotine and tobacco use in schools?an increase in student enrollmentthe prevention of second-hand smokean increase in participation in sportsO a decrease in the sale of e-cigarettes 15) If a magnet produces a force on a current-carrying wire, the wireA) produces a force on the magnet.B) may or may not produce a force on the magnet.C) neither of these