Answer:
x=1/3
Step-by-step explanation:
Step 1: Add 2x to both sides.
x+2x=−2x+1+2x
3x=1
Step 2: Divide both sides by 3.
3x/3=1/3
x=1/3
 PLEASE HELPPPPP ME PLEASE I DONT KNOW WHAT TO DO ☹️#7
Given:
The function is:
[tex]f(x)=-2x+5[/tex]
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
[tex]f(x)=-2x+5[/tex]
Step 1: Substitute [tex]f(x)=y[/tex] .
[tex]y=-2x+5[/tex]
Step 2: Interchange x and y.
[tex]x=-2y+5[/tex]
Step 3: Isolate variable y.
[tex]2y=5-x[/tex]
[tex]y=\dfrac{5-x}{2}[/tex]
Step 4: Substitute [tex]y=g(x)[/tex].
[tex]g(x)=\dfrac{5-x}{2}[/tex]
Hence, the inverse of the given function is [tex]g(x)=\dfrac{5-x}{2}[/tex] and the graphs of these functions are shown below.
A marketing professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course. Data collected on 10 students who took the course last quarter follow.
Hours Spent Studying Total Points Earned
45 40
30 35
90 75
60 65
105 90
65 50
90 90
80 80
55 45
75 65
a) Develop an estimated regression equation showing how total points earned is related to hours spent studying.
b) Test the significance of the model with alpha = .05.
c) Predict the total points earned by Mark Sweeney. He spent 78 hours studying.
d) Develop a 95% prediction interval for the total points earned by Mark Sweeney.
Answer:
ansber 5 good by. ............
What are the factors of -11x + 15 = -2/2 ?
a.y=(22+5)(2+3)
b.y= (2x - 5) (2 – 3)
c. y=(21 – 1) (2 – 15)
d.y= (2x + 1) (3 +15)
Answer:
c
Step-by-step explanation:
HELLLP PLSsssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssssss
Answer: A and D are your answers
Reflect triangle A in the line Y = 1
Answer:
(1,2); (4,4); (1,4)
Step-by-step explanation:
Just reflect it directly across the y axis starting at x=1.
Answer the question please
use the formula circumference = 2×π× radius, where π is approximately 3.14, to answer the question
A. 7.9 in
B. 15.7 in
C. 31.4 in
D. 62.8 in
Answer:
The correct answer is C. 31.4
Step-by-step explanation:
This is the floor plan of Andrew’s toy room. Andrew needs to determine the area of the floor so he can order new wood flooring. Enter the area, in square feet, of Andrew’s toy room floor.
Answer:
should be 76
Step-by-step explanation:
first, separate the floor into 3 different rectangles to calculate the area and then add them together.
area of rec=L*B
rec 1: 5*7=35
rec 2: (8-3.5)*(11-5-4)=9
rec 3:4*8=32
Then:
35+9+32=76
Write 1.5 : 6 as a whole number ratio in it's simplest from.
Answer: 1.5 : 6 = 1 : 4
Step-by-step explanation: Change values to whole numbers.
Convert any decimal numbers to integers by multiplying both sides by 101 = 10 to eliminate all, 1, decimal places.
We then have:
1.5 : 6 = 15 : 60
Try to reduce the ratio further with the greatest common factor (GCF).
The GCF of 15 and 60 is 15
Divide both terms by the GCF, 15:
15 ÷ 15 = 1
60 ÷ 15 = 4
The ratio 15 : 60 can be reduced to lowest terms by dividing both terms by the GCF = 15 :
15 : 60 = 1 : 4
Therefore:
1.5 : 6 = 1 : 4
If a number cube numbered 1-6 is tossed 300 times about how many times would you expect to land on the number 3?
50
200
150
100
What is 15/7 an mixed number
[tex]2 \frac{1}{7} [/tex]
is the answer
Answer:
answer: 2 1/7
Hope this helps
Jennifer is picking a ball out of a box without looking. The probability of picking a green ball is 1/12.
Which option best describes the likelihood of Jennifer picking a green ball?
Answer:
it's a
Step-by-step explanation:
Select the correct answer.
If 32% of a number is 64, what is the number?
A 50
B. 96
C. 100
D. 200
Answer:
20.48
Step-by-step explanation:
the answer is not in d option
Answer:
D. 200
Step-by-step explanation:
Let the number to be found be y.
Therefore, according to the question, we have the following linear equation:
32/100 × y = 64
Therefore, y = (64 × 100)/32 = 200
Hence, y is 200 and 32% of 200 is 64.
Help please I don’t get this problem
9514 1404 393
Answer:
920 square feet
Step-by-step explanation:
The surface area is the sum of the areas of the different surfaces of the solid. This solid has 5 surfaces: 2 triangular bases and 3 rectangular faces.
The area of a triangle is given by the formula ...
A = 1/2·bh . . . . . where b is the base of the triangle, and h is its height
The dimensions shown on the "front" of the figure tell you the triangle has a base of 15 ft and a height of 8 ft. Its area is ...
A = (1/2)(15 ft)(8 ft) = 60 ft²
__
The rectangular faces all have a width of 20 ft. So, the sum of their rectangular areas will be that width multiplied by the sum of their lengths. We call this the "lateral area" of the prism.
lateral area = (base perimeter) × (prism width)
= (8 ft + 15 ft + 17 ft) × (20 ft) = 800 ft²
The sum of the areas of the two base triangles and the lateral area is the total surface area of the figure:
total area = 2×60 ft² + 800 ft²
total area = 920 ft²
Please help the question and answer choices are in the picture.
Answer:
B) 20
Step-by-step explanation:
2808 lb. / 140 lb. ≈ 20
A landscape engineer is designing a triangular area. He wants to place potted trees in the two largest corners. In which corners will he place the two potted trees?
Answer:
the picture is kinda blurry, i cant see the numbers
Step-by-step explanation:
Paula dives into a swimming pool from a diving board 2 feet above the water's surface. She descends to a depth 7 feet below the diving board. How far is Paula from the surface of the water:
1. What integer represents Paula's starting height above the water?
2. What integer represents the total distance Paula descends?
3. Write an addition expression to represent Paula's distance below the water's surface
4. At the end of her dive, Paula is ____feet below the surface of the water
5. Yolanda owes her friend $15. She also earns $8 each week in allowance. Write and solve an addition equation to show how the total amount of money that Yolanda has will change if she pays her friend back this week.
1) The integer representing Paula's starting height above the water is 2.
2) The integer that represents the total distance Paula descends is 7.
3) An addition expression to represent Paula's distance below the water's surface is 2 + 3.
4) At the end of her dive, Paula is 5 feet below the surface of the water.
5) If Yolanda pays her friend back this week, she will owe her only $7.
What is an integer?An integer is a whole number. It can be positive, negative, or zero but without fractions.
Addition expressions combine two or more addends with the addition operand and equation mark (=) to determine the sum (or the result of the addition operation).
Paula:Height of diving board = 2 feet
Depth of descent below the diving board = 7 feet
Distance below the water's surface = 5 feet (7 - 2)
5 feet = 2 + 3
Yolanda:Debt to a friend = $15
Earnings per week = $8
Total amount after paying friend = 8 - 15
= -$7
Learn more about addition operations at https://brainly.com/question/4721701
#SPJ1
please help it’s due in 35 minutes thanks if you do!!
Answer:
[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex] --- Trinomial
[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex] --- Binomial
Step-by-step explanation:
Given
[tex]n^2 + \frac{2n}{3}[/tex]
Solving (a): Perfect square trinomial
We have:
[tex]n^2 + \frac{2n}{3}[/tex]
Express as an equation
[tex]n^2 + \frac{2n}{3} =[/tex]
Start----------------------------
Take coefficient of n i.e. (2/3)
Half it: i.e. (1/3)
Square it: (1/63^2
Add to both sides of the equation
---------------------------End
So, we have:
[tex]n^2 + \frac{2n}{3} + (\frac{1}{3})^2 = (\frac{1}{3})^2[/tex]
Remove brackets
[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]
Solving (b): Binomial Squared
[tex]n^2 + \frac{2n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]
Expand
[tex]n^2 + \frac{n}{3}+ \frac{n}{3} + \frac{1}{9} = \frac{1}{9}[/tex]
Factorize:
[tex]n(n + \frac{1}{3})+ \frac{1}{3}(n + \frac{1}{3}) = \frac{1}{9}[/tex]
Factor out n + 1/3
[tex](n + \frac{1}{3})(n + \frac{1}{3}) = \frac{1}{9}[/tex]
Express as square
[tex](n + \frac{1}{3})^2 = \frac{1}{9}[/tex]
A paper concluded that there was a correlation between refined sugar consumption (calories per person per day) and annual rate of major depression (cases per 100 people) based on data from six countries. The following data were read from a graph that appeared in the paper.
Country Sugar Consumption Depression Rate
Korea 140 2.4
United States 310 3.1
France 360 4.5
Germany 385 5.1
Canada 400 5.1
New Zealand 470 5.8
Required:
a. Calculate the correlation coefficient for this data set.
b. Interpret the correlation coefficient for this data set.
c. Is it reasonable to conclude that increasing sugar consumption leads to higher rates of depression? Explain.
Answer:
Following are the responses to these question:
Step-by-step explanation:
In point a:
In the excel sheet with the information, you've been provided. The below is the output of the [tex]CORREL(B2:B7, C2:C7)[/tex] formula for determining correlation coefficients:
[tex]\to r=0.0762[/tex]
It was a good thing that there's a connection between the two. For both depression and sugar intake, there is a weak positive linear relationship.
In point b:
Yes, It's fair to assume which increased sugar intake leads to increased depression rates.
In point c:
Yes, This sample of countries does not appear to be reflective of an entire world. As a result, the inference could be applied to all countries.
THIS IS A GCF PROBLEM FOR A2 HELP!!!
PLEASE HELP MARKING BRAINLIST
Answer:
82?
Step-by-step explanation:
Sorry if wrong :> Please mark brainliest! Have a awesome day ^_^ You're a great person!!!!
Carlos is building a screen door. He height of the door is 1 foot more than twice the width. What is the width of the door if the height is 7 feet?
Answer:
The answer is 3 feet.
Step-by-step explanation:
First, the height is 7 right. Then take away 1 foot since is said 1 foot more than twice the width. Then divide by 2 meaning twice. Meaning 7-1=6 6/2=3. There you go! Hope these formulas helped!
Answer:
3 feet
Step-by-step explanation:
To relate the height and width of the door, we can write an equation, which is derived from what is given in the problem. If we define w as the width and h as the height, the words, "1 foot more than twice the width" can translate to:
2w + 1, and this is equal to the height, so
2w + 1 = h
Now, we are given the height is 7. We substitute 7 where the height, h, is.
2w + 1 = 7
We can subtract 1 from both sides and divide by 2 to isolate x:
2w + 1 = 7
-1 -1
2w = 6
w = 3 - the width is 3 feet
A rectangle has length of 6 inches and a breath of 4 inches. find the area in2
Answer:
area of rectangle=length ×breadth
6×424in²hope it helps
stay safe healthy and happy.A submarine was 350 feet below sea level. Then, it rose 75 feet, before diving back down another 100 feet. What is the current elevation of the submarine?
the radius of a circle is 6cm what is the diameter circumference and area of the formula?
Answer:
Diameter: 12
Circumference: 37.68
Area: 113.04
Step-by-step explanation:
The radius of the circle is 6 cm.
To find the diameter of a circle, multiply the radius by 2.
6 × 2 = 12.
12 is the diameter.
----------------------------------------------------------------------------------------------------------------
Formula for the circumference of a circle: πd (diameter).
In other words, to find the circumference of a circle, multiply the diameter by pi.
**3.14 IS A SUBSTITUTE FOR PI**
12 × 3.14 = 37.68
Therefore, 37.68 cm is the area of the circle.
----------------------------------------------------------------------------------------------------------------
Formula for area of a circle: πr² (r = radius).
3.14 × 6 × 6 = 113.04
Therefore, 113.04 cm² is the area of the circle.
A batted baseball leaves the bat at an angle of θ with the
horizontal and an initial velocity of v0 = 300 feet per second. The
ball is caught by an outfielder 530 feet from the home plate. The
range r of a projectile is given by sin 2
32
1 2
o r v
.
What is the value of the angle of the bat from the ground?
Answer:
Sixty Baseball Physics Problems © page 1 ! ! Sixty Baseball Physics Problems (many with correct solutions!) Sixty Baseball Physics Problems
Step-by-step explanation:
HELP ASAPPP! I WILL GIVE BRAINLIEST!
PICTURE BELOW.
PLEASE DO NOT PUT ANY NONE RELATED ANSWERS OR YOU WILL BE REPORTED !!
Answer:
Polygon A: A, D, E
Polygon B: F, G, H
Polygon C: K, L, M, N, O
Polygon D: S, T
Step-by-step explanation:
three times four and four fifths
Answer:
the answer is 12.8
Step-by-step explanation:
Answer:
14 [tex]\frac{2}{5}[/tex]
Step-by-step explanation:
3*4 [tex]\frac{4}{5}[/tex]
4 [tex]\frac{4}{5}[/tex] = [tex]\frac{24}{5}[/tex]
[tex]\frac{3}{1} * \frac{24}{5}[/tex]= [tex]\frac{72}{5}[/tex]
[tex]\frac{72}{5}[/tex] to a mixed number
[tex]\frac{72}{5}[/tex]= 14.4 =14
72-(5*14)=2
14 [tex]\frac{2}{5}[/tex]
which equation is represented by the graph below
20 POINTS HELP FAST
What is the total surface area of the square pyramid below?
A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.
132 m2
144 m2
160 m2
228 m2
Answer:
https://brainly.com/question/16576809
Step-by-step explanation:
Answer:
144 m2
Step-by-step explanation: