The values that make these two tables inverses of each other are a = -3.8, b = -2.6, c = 1.7, d = 4.4, and e = 1.0
Given: There are two rows in the given table.
namely x and y.
What are the inverses for an ordered pair?
For a given ordered pair (x, y) the inverse is defined as (y, x). The x and y values interchange their places.
In functional terms, for a given function y = f(x), the inverse is finding the value of x that will be x = f⁻¹(y).
So the inverse for the given function y = f(x) is x = f⁻¹(y).
In graphical terms the inverse can be defined as the points which are mirror image with respect to the axis. That is when we fold the graph about the line of symmetry or let's say axis, the two points in the opposite region of the graph coincides.
Why are inverses important?
Inverses are important because they reverse the mathematical function. Finding the invert is also one of the most important question in mathematics.
Now let's solve the question.
Observe the given table. From the given grey and orange table we see that the values of x are placed in the values of y and the value of y are placed in the value of x respectively.
We can say that the orange table is the inverse of the grey table or the grey table is the inverse of the orange table.
Therefore by comparing and equating values in both grey and orange table we find that:
a = -3.8
b = -2.6
c = 1.7
d = 4.4
e = 1.0
Hence values that make these two tables inverses of each other are a = -3.8, b = -2.6, c = 1.7, d = 4.4, and e = 1.0
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Disclaimer: The question is incomplete. The complete question is given below:
Find the values of a through e that make these two relations inverses of each other which are a, b, c, d, and e.
c(a + b)- d = f, for a
Answer:
Step-by-step explanation:
C(a + b) = f + d
a + b = (f + d)/C
a = (f + d)/C - b
The four walls of a room including the doors and windows have to be painted.
The dimensions of the room are 5m x 5m x 6 m. Find the area to be painted.
Answer:
600
Step-by-step explanation:
5x5=25 25x6= 150x4 walls=600
What’s the answer to this step by step
Answer:
x = -12
Step-by-step explanation:
Step 1: Subtract 1/10x from both sides.
\(\frac{3}{5}x - 10 - \frac{1}{10}x = \frac{1}{10}x - 16 - \frac{1}{10} x\) \(\frac{1}{2}x - 10 = -16\)Step 2: Add 10 to both sides.
\(\frac{1}{2}x - 10 + 10 = -16 + 10\) \(\frac{1}{2}x = -6\)Step 3: Multiply both sides by 2.
\(\frac{1}{2}x * 2 = -6 * 2\) \(x = -12\)Answer:
3/5x – 10= 1/10x - 16
+ 10 +10
3/5x = 1/10x - 6
-1/10x -1/10x
1/2x = -6
x = -12
So, x= -12
Step-by-step explanation:
An Atmosphere pizza restaurant contains 2 workers, 3 customers, and 30 rats. What is the ratio of customers to rats?
Step-by-step explanation:
it'll be 3:30
when you simplify
1:10
:)
= Homework: Module 4: Part 4 ( Question 10, *4.7.2 A salesperson earns $338 selling $2600 worth of stereos. What is the commission rate? The salesperson's commission rate is ?%. (Simplify your answer. Type an integer or a decimal.)
Answer:
13%
Step-by-step explanation:
338/2600
13/ 100
I hope it help
HELP QUICK!! IL MARK YOU BRAINLIEST
Explain why systems of measurement are defined and provide an example to support your answer.
Answer:
Step-by-step explanation:
Systems of measurement are defined because we all need to use the same measurements. For example, if we said something is 2 "feet" long, then a person with big feet would make it longer than someone with small feet.
Answer:
to support commerce
Step-by-step explanation:
Units of length, mass (weight), and time are defined as national and international standards in order to support commerce.
When you go to purchase a given length of material, you can only do that if your unit of length is the same as the merchant's unit of length.
The same is true for a mass of material. You can only be assured of obtaining 10 pounds of apples, if your pound is the same as the merchant's pound.
If you contract your time at some rate per hour, you and your employer will only be satisfied if your time units are the same.
That is, standard units of length, mass, and time are required for orderly conduct of business.
__
Additional comment
The SI system of units defines the meter, kilogram, and second using specific numbers of wavelengths of light. These are presumed to be immutable properties of the universe. (We're not so sure anymore.)
juan has 12 pencils. two-thirds of these pencils are sharpned which model represents the number of sharpend pencils juan has?
Answer:
8
Step-by-step explanation:
Answer: Do you have a picture?
Find the area of the figure below.
Enter the answer as square inches.
Answer:
42
Step-by-step explanation:
Rectangle: A = 6 x 5 = 30
Triangle: A = 1/2(6 x 4) = 12
Area of figure: 30 + 12 = 42
This is due in 20 minutes. (100 points) if anyone is good at math, could you please help me? also, I get a lot of people that just write in crazy responses just for points so I'm BEGGING you to not do that. If you have ANY morals can u pls just not do it. You wouldn't want someone to do that to you. So please help? Thank you.
Answer:
1st
5x²+10x+2x+4
5x(x+2)+2(x+2)
(x+2)(5x+2)
(x+2)=0 and 5x+2=0 is a required answer.
2nd
4x²-16x-5x+20
4x(x-4)-5(x-4)
(4x-5)(x-4) is a required equation.
And
4x²-16x-5x+204x(x-4)-5(x-4)(4x-5)(x-4)An arcade manager wants to know how many of his 750 regular customers prefer to visit in the winter. Each of five staff members randomly surveys 25 regular customers. The table shows the results.
Preferred Season to Visit Arcade
Spring Summer Fall Winter
A 4 4 6 11
B 5 3 7 10
C 5 5 5 9
D 4 5 6 10
E 4 4 5 12
Question 1
a. Use each sample to make an estimate for the number of regular customers who prefer to visit in the winter.
Sample A B C D E
Estimate
Question 2
b. Describe the variation of the estimates.
Range:
customers
Answer:
brainly?
Step-by-step explanation:
hope this helps
The base of the triangle, b, is 3 inches greater than the height
What is the area of the triangle?
Answer:
b=10cm²
Step-by-step explanation:
4inx5in=20
20/2=10cm²
Let me know if this helps
The steps for inscribing a circle in a triangle are shown:Step 1Construct the perpendicular bisector of one angle of the triangle.Step 2Construct the angle bisector of another angle of the triangle.Step 3Indicate the point of intersection of the bisectors with a point representing the center of the circle.Step 4Construct a perpendicular line from the center to a side of the triangle.Step 5Place the compass on the center, adjust its length to where the perpendicular line intersects a side of the triangle, and draw your inscribed circle.Which step is incorrect, and how can it be fixed?
Solution
- The correct steps for drawing a circle in a triangle are given below:
1. Bisect one of the angles
2. Bisect another angle
3. Where they cross is the center of the inscribed circle, called the incenter
4. Construct a perpendicular from the center point to one side of the triangle
5. Place compass on the center point, adjust its length to where the perpendicular crosses the triangle, and draw your inscribed circle!
- Based on these steps above and comparing them with the steps given in the question, every step given in the question is correct except Step 1.
- Step 1 given in the question, says we should construct a perpendicular bisector of one angle in the triangle. This is not correct because of the use of perpendicular bisector. This is only used for bisecting lines, not angles.
Final Answer
The answer is Step 1
An HVAC technician is comparing pension plans for two different job offers. First offer: $58,000 average annual wage, 1.6% per year of service, with a monthly pension payment of $1,546.67 after 20 years of service Second offer: $64,900 average annual wage, 1.3% per year of service The technician plans to work for the same amount of time at each company. What is the difference in monthly pension payments?
Answer:
First, we need to calculate the total amount of the pension for the first offer:
$58,000 x 0.016 x 20 = $18,560 per year
Then, we can calculate the monthly pension payment:
$18,560 / 12 = $1,546.67 per month
For the second offer, we need to calculate the annual pension amount:
$64,900 x 0.013 x 20 = $16,828 per year
And then the monthly pension payment:
$16,828 / 12 = $1,402.33 per month
Finally, we can calculate the difference in monthly pension payments:
$1,546.67 - $1,402.33 = $144.34
Therefore, the difference in monthly pension payments is $144.34.
1. Solve 2|x-1| = x+8 for x.
20
x = ²0
O{0,-/2}
Ox= -1/32
O no solutions
O
Answer:
no solution
Step-by-step explanation:
2|x-1|=½X+8
|x-1|=x+1
2(x+1)=½X+8
2x+2=½X+8
multiple both side by 2
4x+4=x+16
4x-x=16-4
3x=12
x=4
Plz help I need help plz
Answer:
28.6 m
Step-by-step explanation:
The first answer.
edge- a line segment where two __ meet
Hey there!
\(Answer:\boxed{\text{verticles}}\)
Edge - a line segment where two verticals meet.
Hope this helps!
\(\text{-TestedHyperr}\)
Select the values that make the inequality -q> -7 true. Then write an equivalent inequality, in terms of q. (Numbers written in order from least to greatest going across.)
The inequality relation -q > -7 can be represented in the form of q as q < 7
The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
What is an Inequality Equation?
Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.
Given data ,
Let the inequality equation be A
The value of A is - q > - 7
Now , multiplying by (-1) on both sides of the equation , we get
( -1 ) ( -q ) > ( -1 ) ( - 7 )
The inequality relation will change the sign from > to < and ,
q < 7
So , the value of the inequality relation A is q < 7
Now , all the values in the number line which satisfy the inequality equation q < 7 are given in set A
The numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
Hence , The inequality relation -q > -7 can be represented in the form of q as q < 7 and numbers in set A = { -8 , -7.1 , -7 , -6.9 , -6 , -2 , 0 , 2 , 6 , 6.9 }
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Write the answer in standard form: (−5x^4 + 6x^3 − 43) + (6x^5 − x^2 + 12x + 12) Please Show work
Answer:
The answer in standard form to the given expression is 6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
Step-by-step explanation:
(-5x⁴ + 6x³ - 43) + (6x⁵ - x² + 12x + 12)
Combine like terms. When the problem says to put the equation in standard form, it means that the terms will go in order from greatest to least exponential number.
6x⁵ - 5x⁴ + 6x³ - x² + 12x - 31
QUESTION 5 · 1 POINT
Factor: 2x2 + x - 3.
Provide your answer below:
(2x+3)(x - 1)
I’m not sure if my answer is correct
Answer:
( x - 1) ( 2x + 3)
Step-by-step explanation:
It's actually the other way round.
2x^2- + x - 3
( 2x^2 - 2x) + (3x-3)
2x ( x-1 ) + 3( x-1)
( x - 1)(2x+3)
Its the other way around
HOPE IT HELPED
When you multiply a given fraction by a fraction equal to 1, the product will______ be equal to the original fraction.
Answer:
always?
Step-by-step explanation:
when you multiply a fraction by 1, like whole numbers, it's gonna stay the same. so the word choice in that statement would be. always. lol.
How many 10 oz servings are in a 5-quart pitcher of lemonade?
There are ? Servings
Answer:
There are 16 servings
Step-by-step explanation:
First, find how many oz are in 5 quarts.
Think: In one quart there are 32 ounces, in 5 quarts how many ounces would that be?
5 x 32 = 160 ounces
Next, divide 160 ounces by 10 servings
160 / 10 = 16 servings
So there are 16 servings in a 5 quart pitcher.
Hope this helps ;)
Jenny bought 5 pounds of carrots for $2.50. What is the unit rate for
Jenny's purchase? Identify the true statement that corresponds to this
situation.
A. 2 pounds of carrots per $1
B. $5 per pound
Answer:
A. 2 pounds of carrots per $1
Step-by-step explanation:
\(\frac{5 pounds }{2.5 dollars}=\frac{2pounds }{1 dollars}\)
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
king monatla surprised his wife on birthday by buying her 55 inch television set.the repayment period is 36 months and the monthly installment is R570,00
write down the item number of the television
Answer:
The final price of the television set is $ 20,520.
Step-by-step explanation:
Given that King Monatla surprised his wife on birthday by buying her a 55 inch television set, and the repayment period is 36 months and the monthly installment is $ 570.00, to determine the final price of the television set the following calculation must be performed:
570 x 36 = X
20.520 = X
Therefore, the final price of the television set is $ 20,520.
PLEASE HELP ME ASAP !!!!!
Answer:
Step-by-step explanation:
1a) the y intercept, or 20
b) from 0 weeks to 1 week the difference is 10
c) its y=mx+b m is the slope(difference) and b is the y-int so y = 10x+20
2a) the y int, is the same as the x(number of games played) being zero, so here it is 25
2b) after 3 games it was a loss of 1.50 !!! IMPORTANT !! after THREE weeks, so its 1.5/3=0.5 amount on card per week
2c) (ref 1c) but with that same formula/equation - we get y=0.5x+25
in this figure below triangle GHI is similar to Triangle MHL what is the distance between M and H 12 16 24 or 27
I'll mark anyone who answers this question brainliest please help I'm about to fail
The distance between M and H is given as follows:
x = 21.3.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.The proportional relationship between the side lengths is given as follows:
x/18 = 24/16
Applying cross multiplication, the distance between M and H is obtained as follows:
16x = 24(18)
x = 24 x 18/16
x = 27.
Missing InformationThe diagram is given by the image presented at the end of the answer.
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HELP NO LINKS THOUGH!!!!!!!!
\( \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} \)
\(\sf \longmapsto \frac{4}{3} \div \frac{7}{4} \)
\(\sf \longmapsto \frac{4}{3} \times \frac{4}{7} \)
\(\sf \longmapsto \frac{4 \times 4}{3 \times 7} \)
\(\sf \longmapsto \frac{16}{21} \)
Therefore, the answer is :
\(\sf \frac{16}{21} \)
Solve the system. 9=4x-2y 2x+6=y
Step-by-step explanation:
4x-2y = 9 ...1
2x-y = -6 ...2
if ...2 × 2
4x-2y = -12
9 is not equal to -12
Cierto turista contrata un paquete de viaje internacional a un costo
de 720 dólares, pero también recibe la información, que si desea
tours extras a los que contiene su paquete de viaje le costará 35
dólares por cada tour adicional. Determinar ¿Cuál es la función de
inversión del turista?
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
According the question,
The tourist's investment function can be expressed as follows:
f(x) = 720 + 35x
Where x represents the quantity of additional tours that the tourist wants to add to their travel package.
The function f(x) represents the total cost of the travel package plus the additional cost of the extra tours.
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Pls help me last question on math I got to finish the packet
The solutions to the linear function are;
1. The soccer team makes more money per car ($8) than the French club ($5).
2. The graph that demonstrates Arnold's journey is graph 3
3. The graph that demonstrates Francisco's journey is graph 1
4. The graph that demonstrates Celia's journey is graph 2
How do you solve for the linear function?
To determine which group makes the most money per car, we can calculate the slope of the linear function representing the amount earned per car washed for both the French club and the soccer team. The slope of a linear function is the change in the dependent variable (y) divided by the change in the independent variable (x).
Let's calculate the slope for the soccer team. We can choose any two points to calculate the slope. Let's use the points (3, 24) and (6, 48):
Slope (m) = (change in y) / (change in x) = (48 - 24) / (6 - 3) = 24 / 3 = 8
The soccer team earns $8 per car washed.
We can choose any two points to calculate the slope for the French club. Let's use the points (2, 10) and (4, 20):
(20 - 10) / (4 - 2) = 10 / 2 = 5
The French club earns $5 per car washed
The above answer is dependent on the questions below;
The french club and soccer team are washing cars to earn money. The amount earned, (y) dollars for washind (x) cars is a linear function. Which group makes the most money per car? explain
French club
Number of cars (x) Amount earned (y)
2 10
4 20
6 30
8 40
10 50
Soccer team
Number of cars (x) Amount earned (y)
3 24
6 48
9 72
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In the town of Centralburg (Figure 1), which is laid out in a uniform block grid, the grocery store is three blocks East and four blocks North of the post office. Which of the following is a correct equation for the quantities represented in this scenario?
Answer:
tan(θ)= dn/de
θ=arctan(dn/de)
Step-by-step explanation: