Part A:
The y-intercept is $1,500
The x-intercept is 20 days
Part B:
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
f(x) = -75·x + 1500
Part D:
$1,125
Step-by-step explanation:
The information given are;
x, g(x)
0, $1,500
2, $1,350
4, $1,200
The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is y = m·x + c
Where;
m = The slope
c = The y-intercept
From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);
The y-intercept = y at x = 0 = 1,500
y = -75·x + 1500
x = 1500/75 = 20
Part B:
The equation in point-slope form is y - y₁ = m×(x - x₁)
Which gives;
Equation of the line in point-slope form is y - 1350 = -75×(x - 2)
Equation of the line in slope-intercept form is y = -75·x + 1500
Equation of the line in standard form is y + 75·x = 1500
Part C:
The equation of the line using function notation is f(x) = -75·x + 1500
Part D:
The balance in the bank after 5 days is f(5) = -75 × 5 + 1500 = $1,125
Mike sold half of his comic books and then bought 8 more. He now has 18. How many did he begin with?
Answer: 20
Step-by-step explanation:
Answer:
20.
Step-by-step explanation:
If he sold half of them, bought 8 more, and now has 18, he had 20 to begin with.
Heather wants to purchase an electric guitar the price of the guitar with tax is $2,240.if she can save $90 per month how linf will it take her to save up for the guitar
Answer:
25
Step-by-step explanation:
Polynomial function R is the difference of two degree-2 polynomial functions P and Q. What are the possible degrees of R? Explain.
Answer:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
Step-by-step explanation:
The possible degrees are 0, 1, and 2. Let's explain why by assuming the following is given:
P = 6x² - 3x - 2
Q = 3x² + 2x - 6
Let R = P - Q
Thus:
(6x² - 3x - 2) - (3x² + 2x - 6)
Open parentheses by distributing the factor of -1
6x² - 3x - 2 - 3x² - 2x + 6
Add like terms together
6x² - 3x² - 3x - 2x - 2 + 6
R = 3x² - 5x + 4
The leading term of R has a degree of 2. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 2.
Also, let us assume the following:
P = 4x² + 4x - 3
Q = 4x² + x - 8
Let R = P - Q
R = (4x² + 4x - 3) - (4x² + x - 8)
R = 4x² + 4x - 3 - 4x² - x + 8
Collect like terms
R = 4x² - 4x² + 4x - x - 3 + 8
R = 4x + 5 (4x² cancels 4x²)
The leading term of R has a degree of 1. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 1.
Also, let us assume the following:
P = x² + 2x - 3
Q = x² + 2x - 8
Let R = P - Q
R = (x² + 2x - 3) - (x² + 2x - 8)
R = x² + 2x - 3 - x² - 2x + 8
Collect like terms
R = x² - x² + 2x - 2x - 3 + 8
R = 5 (x² cancels x², and 2x cancels 2x)
The polynomial R has a degree of 0. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 0.
Therefore we can conclude that:
D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.
The domain of the function f(x)=−3x is restricted to the negative integers. Which values are elements of the range?
answer
[tex]fx = - 3x \\ \frac{fx}{x} = - \frac{3x}{x} \\ f = - 3[/tex]
Answer:
learning only kang po yan
Step-by-step explanation:
basa lang
How to round 141.999 to the nearest one
Answer:
It's 142
(✿◠‿◠)
If you have a 5 or more on the tenths place, then you make one go up to the next number.
Answer:
142Step-by-step explanation:
To round 141.999 to the nearest hundredth consider the thousandths’ value of 141.999, which is 9 and equal or more than 5. Therefore, the hundredths value of 141.999 increases by 1 to 0.Mutiply. Express your answer 7/10 times 2/5
Answer:
7/25
Step-by-step explanation:
the answer is 7/25
because 7/10 x 2/5 =7/25
Problem number 26 of the Rhind Papyrus says:
Find a quantity such that when it is added to StartFraction 1 Over 4 EndFraction of itself the result is a 15.
The modern day equation that models this problem is x plus StartFraction 1 over 4 EndFraction x equals 15..
What is the solution to the equation?
x = 10
x = 12
x = 15
x = 30
Answer:
X=12 on edg
Step-by-step explanation:
Answer:
I can confirm, the answer is 12.
What is the product?
W/4 -4=3
Solve the eqution pls!
Answer:
W=28
Step-by-step explanation:
(W/4)-4=3
(W/4)=7
W=28
التاريخ / /
اليوم
موضوع الدرس
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what is
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area
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How many combinations are possible if you select one flavor of ice cream and one
topping?
Flavors Toppings
vanilla
chocolate
strawberry
fudge
marshmallow
caramel
Answer:
9
Step-by-step explanation:
7 more than 3 times a number is 49.What is the number?
Answer:
14
Step-by-step explanation:
Let x be the missing number
3x + 7 = 49 [Given equation]
3x = 42 [Subtract 7 from both sides of the equal sign]
x = 14 [Simplify]
Hope this helps! I apologize if I get this incorrect.
Answer:14
Step-by-step explanation: I hope this helps plz tell me if its wrong so i can fix it :)
Which postulate or theorem would you use to prove these two triangles congruent?
Answer:
ASA
Step-by-step explanation:
Both triangles are marked on the Angle, a Side, and Another Angle
If f(x) = 8x+9 and g(x) = 4x-3, what is (f+g)(x)?
O A 4x-12
B. 4x+12
0
C 12x+6
D. 32x-27
I need help please
Answer:
n=1/3
Step-by-step explanation:
Answer:
There’s no error
Step-by-step explanation:
Pls answer quick, I’ll give brainliest!
Answer:
not sure if I understand the question but a=3,b=0,c=1
Step-by-step explanation:
-2+2(1)-3(-1)=3
-2+1-(-1)=0
2(-2)+2(1)-3(-1)=1
Refer to the Newsela article "The Lakota Tribe Wants to Educate People Through Music Project."
Part A
What is an implied idea about the Lakota Music Project in the article?
It was created to unite Native American musicians and their diverse ideas.
It was established with the intent to increase human connectivity.
It was intended to celebrate the uniqueness of Native American music and not to limit it.
It was viewed as an idea that covered all areas of the human experience.
Part B
Which two sentences from the text that best support the answer in Part A?
“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”
“‘I find the Lakota Music Project a visionary undertaking, and I feel it deserves to be more widely known,’ said Joseph Horowitz.”
"The Lakota Music Project's focus remains on building bridges through music."
“Some of the orchestra's musicians and the Porcupine Singers, a drumming circle on the reservation, met to exchange ideas and play music for one another.”
Answer: part A
It was established with the intent to increase human connectivity.
part B
"The Lakota Music Project's focus remains on building bridges through music."
“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”
Step-by-step explanation: I took the test ok k12 sooo...
Answer for part A
It was established with the intent to increase human connectivity.
Answer for part B
"The Lakota Music Project's focus remains on building bridges through music."
AND
“Gier was eager to develop community programs, and he learned about tensions in his new community between Native and non-Native Americans.”
Note
I also took the K12 test, and got it correct! :D (Note: I forgot to click on the "Gier was eager to develop'... thats why it's yellow.)
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSSssssssss
if i could get 3 apples, and i got 5 mapples, how much apples do i get?
Answer:
3 Apples and 5 Mapples!!!
Step-by-step explanation:
Answer:
you have 8 apples
Step-by-step explanation:
Which expression is equivalent to (2g^5)^3
Answer:
Your answer should be 8g^15
Step-by-step explanation:
If cubed (power of 3) is on a parenthesis, that means you have to cube every expression inside that parenthesis. In order to distribute exponents, mutliply them. This gives you g^5 times ^3, which is g^15. ^3 has to also be distributed to the 2, which is 2^3 = 8. 8 and g^15 is 8g^15.
Kira wants to cover hr rectangular patio in cement. The patio measures 4yd long and 3yd wide.
Answer:
The answer is 12 yds.
Step-by-step explanation:
The formula for calculating area is L x W = Area, so we multiply 4 by 3, which gives us 12.
Hope this helped!
Y+5<3 inequality solution
Answer:
y=2
Step-by-step explanation:
y + 5 < 3
- 5 -5
y = 2
.................................
You are permitted to use your calculator to solve an equation, find the derivative of a function at a point, or calculate the value of a definite integral. However, you must clearly indicate the setup of your question, namely the equation, function, or integral you are using. If you use other built-in features or programs, you must show the mathematical steps necessary to produce your results. Your work must be expressed in standard mathematical notation rather than calculator syntax.
Show all of your work, even though the question may not explicitly remind you to do so. Clearly label any functions, graphs, tables, or other objects that you use. Justifications require that you give mathematical reasons, and that you verify the needed conditions under which relevant theorems, properties, definitions, or tests are applied. Your work will be scored on the correctness and completeness of your methods as well as your answers. Answers without supporting work will usually not receive credit. Unless otherwise specified, answers (numeric or algebraic) need not be simplified. If your answer is given as a decimal approximation, it should be correct to three places after the decimal point.
Unless otherwise specified, the domain of a function f is assumed to be the set of all real numbers x for which f(x) is a real number.
x -3 0 3 6
f(x) -5 4 1 7
f'(x) -1 2 -2 4
The table above gives values of a twice-differentiable function f and its first derivative f' for selected values of x. Let g be the function defined by
g(x)= f(x^3-x )
Required:
What is the value of g (3)?
Answer:
17
Step-by-step explanation:
Alli can mop Strong Hall in 10 hours. Working together, Alli and Zach mop Strong Hall in 4 hours. How long would it take Zach to do this job alone?
Answer:
8 hour
Step-by-step explanation:
g Benton Industries manufactures carpets and draperies in the Atlanta area. Employee absenteeism was becoming a problem, so HR conducted a study involving a random sample of employees. The number of absences during the past year was tabulated by marital status. What is the probability that an employee is not married and has between 1 and 5 absences in the past year
Answer:
The probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.
Step-by-step explanation:
The probability of an event, say E is the ratio of the favorable number of outcomes to the total number of outcomes.
[tex]P(E)=\frac{n (E)}{N}[/tex]
The number of absences during the past year tabulated by marital status is as follows:
Marital Status 0 Absences 1 - 5 Absences More than 5 Absences
Married 100 98 52
Not Married 77 102 71
Compute the probability that an employee is not married and has between 1 and 5 absences in the past year as follows:
[tex]P(\text{NM}\cap 1-5\ \text{Absences})=\frac{n(\text{NM}\cap 1-5\ \text{Absences})}{N}[/tex]
[tex]=\frac{102}{100+98+52+77+102+71}\\\\=\frac{102}{500}\\\\=0.204[/tex]
Thus, the probability that an employee is not married and has between 1 and 5 absences in the past year is 0.204.
Which expressions are in simplest form? Check all that apply.
x Superscript negative 3 Baseline + y cubed
StartFraction 1 Over x Superscript 4 EndFraction
StartFraction w Superscript 7 Over x squared EndFraction
a Superscript negative 9
StartFraction 1 Over a squared EndFraction + b squared
StartFraction 1 Over b Superscript 5 EndFraction
Answer:
b. 1/x^4
c. w^7/x^2
e. 1/a^2+b^2
f. 1/b^5
Step-by-step explanation:
Simpilest form means that the exponents must be a postive number. That's what the Edge guy said. I entered these answers in and I got it right on Edge 2021. Today is Janurary 3rd.
The expressions in the simplest forms would be as follows:
b). [tex]1/x^4[/tex]
c). [tex]w^7/x^2[/tex]
e). [tex]1/a^2+b^2[/tex]
f). [tex]1/b^5[/tex]
Write the expressions in the simplest forms:
The simplest form is described as the most compact form of an expression that cannot be broken anymore and does not have any other factor in common than 1.
All the above-mentioned expressions exemplify the simplest forms as they do not have any other factor in common except for 1.
Thus, options b, c, e, and f are the correct answers.
Learn more about "Expressions" here:
brainly.com/question/13947055
There are 40 players on Bill's football team, 2/5 of the players walk to practice and 1/4 of the players ride with their parents. The remaining players ride the bus. How many students ride the bus?
Answer:
22 students.
Step-by-step explanation:
There are a total of 40 players on the football team. 2/5 walk, 1/4 ride with their parents, and the rest ride the bus. To solve, I'm going to be using fractions to find out how many students ride the bus.
1/4 of 40 or 40/4 is equal to 10.
So we know 10 players ride with their parents.
2/5 of 40 or 40/5 is equal to 8.
Cool, 8 students walk to practice.
Now the rest ride the bus. Let's use addition to find the total amount of players that dont use the bus and subtract it from the total amount of players.
10+8=18
40-18=22.
22 students/players ride the bus to football practice.
Question is in the picture below please help
Answer:
3
Step-by-step explanation:
3(8)(4)/8(4) = 3
Answer:
3
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Define
a = 8
b = 4
(3ab)/(8b)
Step 2: Substitute and Evaluate
(3 · 8 · 4)/(8 · 4)
(24 · 4)/32
96/32
3
A line passes through -1,-1and .-3,5
What is the equation of the line in slope-intercept form?
Answer:
y=-3x - 4
Step-by-step explanation:
y2 -y1 = 5- -1 =-4
x2 -x1=-3 - -1=-2
slope is -3
What is 8x - 6x + 4 +5 = 19
Answer: x = 5
The step-by-step explanation is below.
Combine like terms
8x-6x = 2x
4+5=9
2x+9=19
Subtract 9
2x=10
Divide by 2
x = 5
Hope this helps!
4.
Which of the following lists is ordered from least to greatest?
1-1.51, -2,0
2 3
5 4
0-2
2 3
-2, -1.5, 0,
5'4.
32
-2, -1.5, 0,
4' 5
2 3
-1.5, -2,0
5'4
Answer:
2 3
2 3
-2 - 1.5 0
4 5
Step-by-step explanation:
-10 - 9 - 8 - 7 - 6 - 5 - 4 - 3 - 2 - 1 0 1 2 3 4 5 6 7 8 9 1 0