Answer:
C(x) = 25 + 1.5x
Step-by-step explanation:
A function is a mathematical equation that describes how two variables are related. To write a function that models the cost of having a carpet installed, we can use the information provided in the problem.
The cost of having a carpet installed is:
C(x) = 25 + 1.5x
Where C(x) represents the total cost of the carpet installation and x represents the number of square yards of carpet.
25 is a fixed cost for delivery , and $1.5 is cost per sq yard.
So, C(x) = 25 + 1.5x this function is representing the cost of having a carpet installed in x sq yard.
The polynomial
[tex] { - 3x}^{2} + 400x[/tex]
represents the budget surplus of the town of Alphaville for the year 2010. Alphaville's surplus in 2011 can be modeled by
[tex] { - 1.5x}^{2} + 300x[/tex]
If x represents the yearly tax revenue in thousands, enter a polynomial for how much Alphaville's budget surplus increased from 2010 to 2011. If Alphaville took in $450,000 in tax revenue in 2011, what was the budget surplus that year?
The surplus increased by __________
Alphaville's budget surplus was $_____ thousand, or$ ______ million
Answer:
Answer:
Question 1: Budget Surplus Increase = 12x(exponent 2) - 200x
Question 2: Budget surplus in 2011 = $3.04 * 10 (exponent 12)
Step-by-step explanation:
Question 1
Budget surplus in 2010 =
Budget surplus in 2011 =
Increase in buget surplus = Budget surplus in 2011 - Budget surplus in 2010
Question 2
2011 yearly tax revenue, x = $450,000
Budget surplus in 2011 =
Budget surplus in 2011 ≅ $
Step-by-step explanation:
help........................................................................
Step-by-step explanation:
what is Fahrenheit use celsius bruuuhhhh
Answer:
C. The temperature decreased by 6.75 degrees F
Step-by-step explanation:
Jen rode her bike 15of a mile to her friend's house. It took her 5 minutes to get there. What was Jen's speed?
Answer:
2.4MPH
Step-by-step explanation:
Use the principle of rate x time:
(1/5)*5=1
1 mile per 25 minutes= 2.4 mph
MARK AS BRAINLIEST
3.) 4(m + 5) + 42, (m = -2)
Answer:
54
Step-by-step explanation:
The variable m equals -2, so what you would do is plug it into the equation.
4(-2+5)+42
Next you would distribute the 4 into -2 & 5.
(-8+20) + 42
Add what's in the parenthesis.
12 + 42
Once you add that you will be left with your answer which is 54.
Hope this helped!
Please Help!
Which Triangles are similar and why?
Both because they are all the same triangle
What is an equation of the line that passes through the point (6,1) and is perpendicular to the line 2x+3y=18?
Answer
y = 3/2x -8
Step-by-step explanation:
The first thing you should do is change the equation into slope intercept form. Subtract 2x from both sides to get: 3y = -2x + 18. Divide all parts of the equation by 3 to get your equation in slope intercept: y = -2/3x + 6. One thing you should know when finding the slope of a perpendicular line is that it is the opposite reciprocal. So, the slope is going to be 3/2. This is your current equation: y = 3/2x + b. Plug in the point to the equation, it should look like this: 1 = 3/2(6) + b. Multiply 3/2 by 6 to get 9. This is what it should look like: 1 = 9 + b. Then, subtract 9 from both sides of the equation to get your y-intercept of -8. Go back to your other equation and plug in -8 for b. This is your final equation: y = 3/2x -8.
Which one is it???????
Answer:
up 6
mayby
.........
Answer:
Left 6 is the answer
Step-by-step explanation:
You must move it in the left to be able to solve it
I’m confused about this problem
x= arctan (114/180)
=32.34744..
rounded to the nearest tenth =32.3
Step-by-step explanation:
Please help I do not understand it,Cos A=
Please help!!!
What is the missing value and why?
Answer:
11
Step-by-step explanation:
if the x variant of 24 was 8 how to I solve?
Answer:
you substitue 8 for x then you sovle it like a normal equations
Step-by-step explanation:
thanks for points :D
Answer:
8 times 3
Step-by-step explanation:
since 8 times 3 = 24
umm what is this?????
Answer: The correct answer is 1/2 ÷ 1/11.
Step-by-step explanation:
Answer:
1/2 ÷ 1/11 :)
Step-by-step explanation:
11/2= 5.5 and so does 1/2 ÷ 1/11
None of the other answers equal to the same amount.
1/2 ÷ 3/14= 2.3
1/2 + 1/10= 5
8/11 + 1/2= 1.45
Hope this helps! <3
What is the equation of a line that has a slope of -5 and passes through the point (0, 2)?
y = -5x
y = 2x - 5
y = -5x + 2
Answer:
y= -5x+2 is the equation.
Answer:
y= -5x + 2
Step-by-step explanation:
y = mx + b(we will put the points of "x" and "y" into this formula)
2= -5 (0) +b( as "x" is "0" and is multiplied by "-5" it will become "0" giving us the value of "b")
2=b(finally we will substitute this answer in the formula we've written)
therefore the answer will be:
y= -5x + 2
Christopher is 20 years younger than Ishaan. Ishaan and Christopher first met two years ago. Fourteen years ago, Ishan was 3 times as old as Christopher
Answer:
Let Ishaan's age be x. Then, Christopher's age is x-20. These are their current ages.
14 years ago,
x-14 = 3(x-20-14) (we need to subtract 14 from both of their ages')
x - 14 = 3(x - 34)
x - 14 = 3x - 102
2x = 88
x = 44
Ishaan is 44 years old now.
Answer:
Christopher is 44 and ishaan is 24
Step-by-step explanation:
So im guessing this question is asking how old they are now
if christopher is 20 years older he will always be 20 years older
so we need to find how old he was 14 years ago
he was 1/3rd the age meaning that 20 is 2/3s so that means that ishaan was 10 years old
then add 14 years and he is 24
The eighth-grade class is planning a trip to Washington, D.C. this spring. They need a minimum of
75 people to attend in order to reserve buses. If one-third of the 8th-grade class plus 17 parent
chaperones have signed up and this is enough to satisfy the requirement, how many students must
be in the 8th-grade class?
Pls answer with an equation
Answer:
There needs to be 174 Students in the 8th grade class.
Step-by-step explanation:
173(1/3) is 58
58+17=75
PLEASE HELP!!!!!!!!!!
Answer:
a = 30
b = 15
c = 3
d = 30
e = 10
f = 20
Step-by-step explanation:
60 deg and a + 30 are alt int <S and congruent
a + 30 = 60
a = 30
a + 30 and a + 2b are corresponding angles and congruent
a + 2b = a + 30
2b = 30
b = 15
a + 2b and 5b - 5c are vertical angles and congruent
5b - 5c = a + 2b
5(15) - 5c = 30 + 2(15)
75 - 5c = 30 + 30
75 - 5c = 60
-5c = -15
c = 3
a + 2b and 10c + d are corresponding angles and congruent
10c + d = a + 2b
10(3) + d = 30 + 2(15)
d + 30 = 60
d = 30
5b - 5c and 2d + 6e are supplementary and add to 180
5b - 5c + 2d + 6e = 180
5(15) - 5(3) + 2(30) + 6e = 180
75 - 15 + 60 + 6e = 180
6e + 120 = 180
6e = 60
e = 10
2d + 6e and 4f + 4e are alt int angles and congruent.
4f + 4e = 2d + 6e
4f + 4(10) + 2(30) + 6(10)
4f + 40 = 60 + 60
4f + 40 = 120
4f = 80
f = 20
What is this number in standard form?
(5×100)+(6×1/10)+(7×1/100)
Enter your answer in the box. (1/10 and 1/100 are fractions)
Answer:
500.61
Step-by-step explanation:
5 multiplied by 100 = 500
1/10 = 0.1, So 6 multiplied by 0.1 = 0.6
1/100 = 0.01, So 1 multiplied by 1 = 0.01
500 + 0.6 + 0.01 = 500.61
[tex](5 \times 100) + (6 \times \frac{1}{10} ) + (7 \times \frac{1}{100} )[/tex]
[tex]5 \times 100 = 500[/tex]
[tex] \frac{6}{1} \times \frac{1}{10} = \frac{6}{10} = 0.60[/tex]
[tex] \frac{7}{1} \times \frac{1}{100} = \frac{7}{100} = 0.07[/tex]
[tex]500 + 0.60 + 0.07 = 500.67[/tex]
Do the points A(-2,1), B(-2,4), C(3, 4), D(3, 1) form a square?
Answer: i don't think they do
Step-by-step explanation: tell me if i wrong
Each week, the price of oranges at the farmer's market increases by 20%. The price of oranges this week is 2.50 What was the price last week
Answer:4.50
Step-by-step explanation:
There are 27 boys and 38 girls in the Bounders athletics club.
a. write the ratio of boys to girls in the form 1:n
Answer:
27:38 no more simplfying
Step-by-step explanation:
-(2g - 4)
I don’t what the answer is
Answer:
−2+4
Step-by-step explanation:
Answer:
-2g+4
Step-by-step explanation:
you have to distriute the negitive
-2g+4
so that is your answer
i hope this helps :)
please help me! where are the black dots located?!
the bottom square: -6,-5
the top square: -2,1
Identify any solutions to the system shown here.
2x + 3y 26
3x +2y 56
Answer:
Add more points (0.5, 2), (-2,4)
Step-by-step explanation:
please help giving all my points
Answer:
Step-by-step explanation:
1. Subtraction
2.multiplication
Answer:
number 2. is Subtraction Property of equality and number 3 is multiplication property of equality.
Step-by-step explanation:
Find the slope of the line parallel to the line through the given points (4,-2),(-1,8)
Answer:
-2
Step-by-step explanation:
Parallel lines have the same slope, so find the slope of this line
Use rise over run, (y2 - y1) / (x2 - x1)
(y2 - y1) / (x2 - x1)
(8 + 2) / (-1 - 4)
10 / -5
= -2
So, the slope of the line is -2
solve for x: 17/x+10 = 16/x
x=____
Answer:
X = -1/10
Step-by-step explanation:
[tex] \frac{17}{x} - \frac{16}{x} = - 10 \\ \frac{1}{x} = - 10 \\ 1 = - 10x \\ x = \frac{1}{ - 10} [/tex]
−14 − 8x = −2(−3x + 7)
Answer:
-8x=6x+14-14
-8x-6x=0
-14x=0
X=0/14
X=0
?????
Answer:
X= 0 or Zero
Step-by-step explanation:
Steps To solve this problem... (8 steps)
1) Rearrange terms:
−14 − 8x = −2(−3x + 7)
−8x − 14 = −2(−3x + 7)
2) Distribute:
−8x − 14 = −2−(3x + 7)
−8x − 14 = 6x - 14
3) Add 14 to both sides of the equation:
−8x − 14 = 6x - 14
−8x − 14 + 14 = 6x - 14 + 14
4) Simplify (Add the numbers):
-8x = 6x
5) Subtract 6x from both sides of the equation:
-8x = 6x
-8x - 6x = 6x - 6x
6) Simplify (Combine like terms):
-14x = 0
7) Divide both sides of the equation by the same term:
-14x = 0
-14x/-14 = 0/-14
8) Simplify (Cancel terms that are in both the numerator and denominator):
X= 0/-14
Hope this Helped! :)
How would you solve this question?
Answer:
K
Step-by-step explanation:
techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477
show graph of f(-x+2)
what is this type of question called and how can i solve it?
Answer:
Total number of year pass [n] = 22 year (Approx)
Step-by-step explanation:
Given:
Beginning price of cottage [P] = $25,000
Price reduce every year [r] = 10% = 0.1
Final price [A] = $2,500
Find:
Total number of year pass [n]
Computation:
A = P[1-r]ⁿ
2,500 = 25,000[1-0.1]ⁿ
0.1 = [0.9]ⁿ
Total number of year pass [n] = 22 year (Approx)