Given function :-
[tex]\bf \implies g(x) = \dfrac{3}{x}+7[/tex]
To find its reverse , substitute y = g(x) .[tex]\bf \implies y = \dfrac{3}{x}+7[/tex]
Interchange x and y .[tex]\bf \implies x = \dfrac{3}{y}+7[/tex]
Solve for y .[tex]\bf\implies \dfrac{3}{y}= x -7 \\\\\bf\implies y =\dfrac{3}{x-7} [/tex]
Replace y with f-¹(x) .[tex]\implies\boxed{\red{\bf f^{-1}(x) = \dfrac{3}{x-7} }}[/tex]
Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y) --> (x - 3, y + 4) to move points on the screen. ( Look at the picture to answer options A,B,C and show your work. If correct I'll Mark Brainliest.
Answer:
your answer is c
Step-by-step explanation:
question 10. please i didnt listen to the lecture please help
Answer:
I wrote the answers in the screenshot
Write the equation in slope-intercept form.
6x – 3y = -18
Answer:
y = 2X + 6
Step-by-step explanation:
6x +18 = 3y
y = 6/3x + 18/3
I WILL GIVE CROWN
Jim has a bank account balance of −$15.46. As soon as he realizes this, he deposits $25.50 in the account.
What is Jim's bank account balance after the deposit is made?
Enter your answer in the box.
$
Answer:
the answer would be 773/1275 if your dividing if its multiplying its -394.24
Answer:
I know I'm late to answer this but the its 10.04 I hope this helps :D
Step-by-step explanation:
Help pleaseeeees x+1/6=3x/10
Answer:
X=1/174
Step-by-step explanation:
Answer:
x = -5/21
Step-by-step explanation:
The common denominator between all the terms in this equation is 30. Multiply everything by 30.
[x+1/6=3x/10] * 30
30x + 5 = 9x subtract 9x on both sides
21x+5 = 0 subtract 5 on both sides
21x = -5 divide 21 on both sides
x = -5/21
The length of a rectangular sign is 5 times its width. If the sign’s perimeter is 24 inches, what is the sign’s area?
Answer:
A=20
Step-by-step explanation:
Let the width be x
x=width. 5x =L
2(L+W)=p
2(5x+x) =24
10x+2x=24
12x=24
12x/12 =24/22
x=2
A =LxW
A = (5x2)x x
A =10 x2
A=20
An image of a book shown on a website is 1.5 inches wide and 3 inches tall on a computer monitor. The actual book is 9 inches wide.
1. What scale factor is being used to make the image?
A scale factor of
2. How tall is the actual book?
inches
Answer: 6, 18
Step-by-step explanation:
a. actual width/scaled width = 9/1.5 = 6
b. scaled width*scale factor = 3*6 = 18
If u guys help
Me this should be easy depending on who’s doing it ok what are the answers to this u guys have to figure it out This is 3rd grade homework I trying to help my friend and he doesn’t know what the rest are can u help please asap
Name
wrap
sign
wrote
gnaws
wring
knee
wreath
knit
knife
knight
knock
write
gnome
wrists
wreck
A. Write the spelling words that match the clues below.
1. street marker
S
4. a sharp tool
ínite
MA
2. tap on a door
5. cover a gift with paper
3. a ring of plants used for
decoration
B. Write the spelling word that best completes each sentence.
6. The doctor checked both her
after she fell.
P
7. He
a letter to the mayor about the park.
8. I am learning to
a wool scarf.
9. A beaver
trees into logs.
10. My friend likes to
silly poems about animals.
11. My little sisters
my room when they come in.
12. My story is about a brave
- who fights dragons.
13. I scraped my left
when I fell off my bike.
14. A
is small and usually wears a pointed hat.
15. We will
out the wet towels.
Answer: look at explanation
Step-by-step explanation:
number 3. wreath
number 8. knit
number 9. gnaws
number 10. write
number 11. wreck
number 12: knight
number 14: gnome
number 15: wring
NO LINKS/ NO ASSESSMENTS!!!
Part 1: Write a rule to describe each transformation
Answer:
(x, y) → (-x, y)Step-by-step explanation:
We can observe the figures are mirrored over y- axis.
This is a reflection and the rule is:
(x, y) → (-x, y)Find the length of AB to the nearest hundredth
Answer:
The required length of AB is 7.28 units.
Step-by-step explanation:
(First correct answers get brainliest or a lot of points)
0.5 divided by -0.667 times 0.75 minus 0.8
Good luck!
Answer:
I believe that it is −1.3622188906
Use the zeros and the labeled point to write the quadratic function
represented by the graph.
у
Х
-5
5
(3-6)
- 10
Answer:
y = 2x2 - 10x + 12
Step-by-step explanation:
The quadratic function represented by the graph is y= 2x² - 10x + 12.
What is the quadratic function represented by the graph?The task's requirements dictate that the quadratic function represented by the graph be identified.
As the roots of the quadratic function are p and q, the quadratic function can be described as y = a (x - p) (x - q), where a is a constant.
As a result, since the roots are 2 and 3, we obtain;
y = a (x - 2) (x -3) (x -3)
So, we must substitute the values defined by the provided point, (1, 4), as shown below in order to find the value of the constant, a.
4 = a (1 -2) (1 -3)
4 = a(-1) (-2)
4 = 2a
a = 2.
So, the required equation is y = 2 (x - 2) (x - 3).
Learn more about quadratic functions here:
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What is the probability
The answer is yes but not if so
A Child’s Growth and Prosperity
When a new baby enters this world, pediatricians will monitor the baby’s growth in many areas. Weight, head circumference, length, and body mass index are just a few of the measurements collected as newborns progress through childhood. Parents of newborns are not only concerned with their child’s measurements, but they typically consider their child’s medical and financial needs, too.
As you complete the task, keep these questions in mind: How can you use linear functions to describe and analyze measurements associated with babies’ growth? How can you use functions to calculate college savings and to determine how much medicine to administer?
Directions:
Complete each of the following tasks, reading the directions carefully as you go.
You will be graded on the work you show, or your solution process, in addition to your answers. Make sure to show all of your work and to answer each question as you complete the task. Type all of your work into this document so you can submit it to your teacher for a grade. You will be given partial credit based on the work you show and the completeness and accuracy of your explanations.
Answer:
a) 0.75 inch/month
b) y-20 = 0.75(x-4)
c) 17 inches
d) 44
a) 0.8 inch/month
b) yes
c) y = 0.8x + 18.8
d) 18.8 inches
Step-by-step explanation:
a) (21.5-20)/(6-4) = 1.5/2
= 0.75 inch/month
If this is correct, 2 months after the 6th month (month 8), it should be
21.5 + 2(0.75) = 23
Which it is
b) y-y1 = m(x-x1)
Where y is the length, x is the months, m is the slope and (x1,y1) is a known point
At x = 4, y = 20
y-20 = 0.75(x-4)
Or
y = 0.75x + c
20 = 0.75(4) + c
c = 20 - 3 = 17
y = 0.75x + 17
c) at birth, 4 months before month 4
So, 20 - 0.75(4) = 17
Which is also the y-intercept
d) y = 0.75(36) + 17
y = 27 + 4 = 44 inches
Generally, at the age of 3 years (36 month) the length is between 35 and 40 inches
a) slope = (30-22)/(14-4)
= 0.8 inch/month
b) 0.8 > 0.75, so yes
c) When x = 4, y = 22
y-22 = 0.8(x - 4)
y - 22 = 0.8x - 3.2
y = 0.8x + 18.8
y-intercept is 18.8
d) at birth, x = 0.
Length was 18.8 inches
Step-by-step explanation:
Slope
Find the slope for each line
Answer:
3. -3/2
4. 3/2
5. 5/3
6. 7/3
7. -6/2 or -3
8. 7/3
Step-by-step explanation:
Rise over run. (∆Y/∆X)
Answer:
3. -3/2
4. 3/2
5. 5/3
6. 7/3
7. -6/2 or -3
8. 7/3
Step-by-step explanation:
count up then over sideway y/x
SORMONE PLEASE HELP ME!! ASAP ILL MARK BRAINLIEST!!!
Answer:
C
Step-by-step explanation:
To write the equation of line when slope and one point is given
[tex]y2 - y1 = m(x2 - x1)[/tex]
here m = 3/4
(x1,y1) = 3,-2
Substitute all the values in Formula
[tex]y + 2 = \frac{3}{4} (x - 3) \\ y + 2 = \frac{3}{4} x - \frac{9}{4} \\ y = \frac{3}{4} x - \frac{9}{4} - 2 \\ = \frac{3}{4} x - \frac{17}{4} \\ 4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]
multiply by 4 on both sides
[tex]4y = 3x - 17 \\ - 3x + 4y = - 17[/tex]
Change 1/5 to a fraction
Answer:
.2
Step-by-step explanation:
Express 960% as a mixed number
Answer:
9 3/5
Step-by-step explanation:
When we see a percentage, we know that the base is 100. In other words, 960% is equal to 960/100
With this, its just a matter of transforming the improper fraction to a mixed number.
100 fits 9 times in 960 so there will be 9 wholes
the remaining 60/100 can be simplified to 3/5 through this process:
60/100 = 6/10 = 3/5
Answer:
9 3/5
Step-by-step explanation:
Step 1: Write down the percent divided by 100 like this:
960% = 960/100
Step 2: Multiply both top and bottom by 10 for every number after the decimal point:
As 960 is an integer, we don't have numbers after the decimal point. So, we just go to step 3.
Step 3: Simplify (or reduce) the above fraction by dividing both numerator and denominator by the GCD (Greatest Common Divisor) between them. In this case, GCD(960,100) = 20. So,
(960÷20)/(100÷20) = 48/5 when reduced to the simplest form.
As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 960/100 is also equal to 9 3/5 when expressed as a mixed number.
pls help find the area of this triangle
Answer:
c
Step-by-step explanation:
h × b then Divide by 2......
HELP PLZ HELP FAST THIS IS DUE
Answer:
False
Step-by-step explanation:
The angles are different degrees
Answer: false
Step-by-step explanation: dont really have an explenantion
The cost of bananas, y, is directly
proportional to x, the pounds of bananas
purchased. If 2.5 lbs of bananas costs
$1.50, find the total cost of a lbs of
bananas.
The equation is y = 0.60x. Then the total cost of 9 lbs of bananas will be 5.4 lbs.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
The cost of bananas, y, is directly proportional to x, the pounds of bananas purchased. Then the relationship is given as,
y ∝ x
y = kx
Then the relationship between 'x' and 'y' will be linear. If 2.5 lbs of bananas cost $1.50. Then we have
1.50 = k (2.5)
k = 0.60
Then the equation is given as,
y = 0.60 x
Then the total cost of 9 lbs of bananas will be given as,
y = 0.60 (9)
y = 5.4 lbs
The equation is y = 0.60x. Then the total cost of 9 lbs of bananas will be 5.4 lbs.
More about the ratio and the proportion link is given below.
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5. Write an equation in point-slope form for the line through the given point with the given slope.
Answer:
C. y+3= -1/4(x-8)
Step-by-step explanation:
The slope-intercept form:
m - slope
b - y-intercept
We have the slope
and point (8, -3). Substitute:
add 2 to both sides
Answer:
The point-slope form:
Substitute:
ANSWER: y+3= -1/4(x-8)
Find each product -1(9)
Answer:
-9
Step-by-step explanation:
-1×9. that is how it is
Formule una propiedad algebraica basica del sistema de numeros reales para justificar cada uno de los siguientes enunciados, donde Y y Z representan numeros reales. a) (y + 2)z+3=(yz+2z)+3 b) (4+7)y=y(4+7) C) (1+4)+3=4+(1+3)
Answer:
Nose :>
Step-by-step explanation:
.
The algebraic properties that can be applied in this case are: distributive property, commutative property, associative property.
What properties can we apply in this situation?a) Distributive Property: (y + 2)z + 3 = yz + 2z + 3. The distributive property establishes that multiplication is distributed over addition or subtraction, allowing us to simplify the original expression by adding the product of y and z to 2z and then adding 3.b) Commutative property: 4y + 7y = y(4 + 7). The Commutative Property of Multiplication states that the order of the factors does not affect the result. Here, 4y and 7y can be rearranged as y(4) and y(7) respectively, keeping the same result.c) Associative Property: (1 + 4) + 3 = 4 + (1 + 3). The Associative Property of Addition states that numbers can be grouped in different ways without changing the sum total. Both sides of the equation group the numbers the same way.Note: The question is in Spanish. Here is the question in English:
Formulate a basic algebraic property of the real number system to justify each of the following statements, where Y and Z represent real numbers. a) (y + 2)z + 3 = (yz + 2z) + 3
b) (4 + 7)y = y (4 + 7)
c) (1 + 4) + 3 = 4 + (1 + 3)
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x-5<2 or x-5>7
The solutions to the compound iniquity are _ or _.
Answer:
from your DVR to record the points you like
Step-by-step explanation:
because I only want the points
khan acdemy vdieo on Compound inequalities:
https://www.khanacademy.org/math/algebra/x2f8bb11595b61c86:solve-equations-inequalities/x2f8bb11595b61c86:compound-inequalities/v/compund-inequalities
3x + (2 + x) + 5 x 2 as a product of two factors
Answer:
4x+12
I think that's it............
Lynette wanted to run one mile in eight minutes. To be on pace to reach
her goal, how far will she need to run in 2 minutes? ?
3
Answer:
0.25 miles
Step-by-step explanation:
assuming that she keeps a constant Velocity/ speed,
find the speed she intends to run with, ie total distance/time
[tex]\frac{1}{8} miles \: per \: minute[/tex]
find the distance she travels in two minutes, ie speed multiplied by time.
[tex] \frac{1}{8} \times 2 = \frac{1}{4 } = 0.25[/tex]
Write 125 as a power of 5.
Answer: The answer would be 5^3
Step-by-step explanation:
5 x 5 x 5= 125
How many tens are
there in 350?
Answer:
35 because 35 times ten equals 350
Step-by-step explanation:
True or False? No matter how the colonial government was setup, England had the ultimate say within the colonies
Answer:
true
Step-by-step explanation:
England claimed the colonies, so they ruled over them.