Answer:
[tex]f(x) = 1500x +3000[/tex]
Step-by-step explanation:
Given
Represent the months with x and the earnings with y.
So:
[tex](x_1,y_1) = (1,4500)[/tex]
[tex](x_2,y_2) = (2,6000)[/tex]
Required
Determine the linear function
First, calculate slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{6000 - 4500}{2 - 1}[/tex]
[tex]m = \frac{1500}{1}[/tex]
[tex]m = 1500[/tex]
The equation is then calculated using:
[tex]y = m(x - x_1) + y_1[/tex]
[tex]y = 1500(x - 1) + 4500[/tex]
[tex]y = 1500x - 1500 + 4500[/tex]
[tex]y = 1500x +3000[/tex]
As a function, we have:
[tex]f(x) = 1500x +3000[/tex]
62. Which of the following polynomials cannot
be factored by factoring out a GCF?
a. 9x2 - 81x + 27
b. 15x2 + 3x
c. 2x + 4
d. 3x2 + 12x + 14
Step-by-step explanation:
d
joke mmmk,k
nm,iikkk,mk
The polynomial 3x²+12x+14 cannot be factored by factoring out a GCF. Therefore, option D is the correct answer.
What is factorization?The factorization method uses basic factorization formula to reduce any algebraic or quadratic equation into its simpler form, where the equations are represented as the product of factors instead of expanding the brackets. The factors of any equation can be an integer, a variable, or an algebraic expression itself.
Here,
a) 9x²-81x+27
In the given trinomial, in each term 9 is the common factor, so, the GCF of the trinomial is 9.
Thus, 9(x²-9x+3)
b) 15x²+3x
The factors of each terms of binomial is listed below
15x²=3×5×x×x
3x=3×x
So, the GCF is 3x
Now, 3x(5x+1)
c) 2x+4
The factors of each terms of binomial is listed below
2x=2×x
4=2×2
So, the GCF is 2
Now, 2(x+2)
d) 3x²+12x+14
In this trinomial there is no common term.
Therefore, option D is the correct answer.
To learn more about the factorization visit:
https://brainly.com/question/26923098.
#SPJ2
Find the volume of the cone. What is the radius? 12 What is the height? 5 Write the volume in terms of pi (1/3 times radius squared times the height only). π km3 Solve for the volume (Multiply by 3.14 this time). km3
Answer:
can you post a pitcure of the question... i cant really understand the words like this.
Step-by-step explanation:
if the radius of the circle becomes two times what will be the new area of the circle
Answer: So when you double the radius, the area goes up by 4 times because 2 squared is 4. The area will always go up by the square of how much the radius goes up. By contrast, the circumference will only double -- from 12.56 to 25.12 because you do not square the radius (or diameter) -- you just multiply it by pi.
Step-by-step explanation:
Evaluate each function.
f(t) = t– 5t; Find f(t - 2)
Answer: -4t+8 is your answer.
also can you make me the brainiest please
Thank You
-Parshv
Use the distributive property to write an expression that is equivalent to 8(a + 4).
?
la semana pasada compramos berenjenas a un precio de 2,7soles/kg y patatas aun precio de 0,7soles/kg pagamdo por ellas en total de 15,1soles. sin embargo, esata semana hemos pagado 18 soles por una compra con la misma cantidad de estas hortalizas a un precio de 2soles por kilo de berenjenas y 1,2soles por kilo de patatas.calcula la cantidad de hortalizas que se compran
Simplify the expression.
7.5(–5.9)
–44.25
14.25
–11.21
44.25
Answer:
[tex] - 44.25[/tex]
Step-by-step explanation:
All i did was put it in a calculator
Answer:
hi the answer is :
-44.25
plzzz help with this
Mr mcClary writes the equation 3(3x-10)=5(x+10)
Write an equation to find the total number of hours h the instructor exercises in any number of weeks w
Plz help ASAP!!
Which two rational numbers does v14 lie between?
Answer:
19/8 and 22/7
Step-by-step explanation:
Answer:
[A. 19/6 and 22/7]
Step-by-step explanation:
Please help me I want to finish my math Homework!!
Answer: X<-10/7
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable
Help me please ????????
Answer:
300
Step-by-step explanation:
YOU CAN TAKE WHATEVER THE ANSWER AND L x W x H to get that right answer
Answer:
1700 cm squared :)
Step-by-step explanation:
if a person runs 1.5 miles in 8 mins how far can they run in 2 hours
1. Circle or highlight the letter that correctly identifies the following exponential equation into its equivalent logarithmic form.
am = p
A. logp(a) = m B. loga(p) = m C. loga(m) = p D. Not Shown
9514 1404 393
Answer:
B. loga(p) = m
Step-by-step explanation:
Equivalent forms are ...
[tex]a^m=p\quad\longleftrightarrow\quad\log_a(p)=m[/tex]
_____
Additional comment
It helps me to remember that a logarithm is an exponent. The base of the exponent is the base of the logarithm.
Triangle ABC is reflected across line m to form triangle PRS.
B
R
A
s
Which statement must be true?
O The length of AB = the length of SR.
O The length of BC = the length of RP.
0 m 4 = m/s
OmZB =mZR
Answer: D
Step-by-step explanation:
First, rewrite 1/9 and 2/15 so that they have a common denominator. Then use to order 1/9 and 2/15.
Answer: 1/9= 5/45 or 2/15= 6/45
Step-by-step explanation:
1/9 *5/5 = 5/45
1*5 =5 (numerator)
9*5=45 (denominator)
-----------------------------------------------------------------------------------
2/15 *3/3 = 6/45
2*3= 6 (numerator)
15*3= 45 (denominator)
HELP PLEASE!!! ILL MARK BRAINLIEST FOR WHOEVER ANSWERS FIRST!!!!! MATH QUESTIONS!!!! ONLY GOING FOR 35 MINUTES!!!!!
Fill in the blanks to describe how to find solutions to systems of equations by graphing.
The solution to a system of equations is the _________________________ where the two lines
_______________.
If the two lines in the system have different slopes, there will be _______________ solution(s).
If the two lines in the system have the same slope and different y-intercepts, there will be
_______________ solution(s).
If the two lines in the system have the same slope and the same y-intercept, there will be
_______________ solution(s).
Step-by-step explanation:
2nd is same solution
3rd is different solution
4th is same solution
(how I did this is by simply mathematics )
+ - = -
+ += +
3. Describe how you would find the unknown amount in the story.
Answer:
Identify all equations or possible expressions to solve for and evaluate. Find clues, use context clues and try to find out/identify other problems then solve for it bit by bit put them together to solve for.
(also there is no story)
How are the ateas of the squares related? HELP
Answer:
c
Step-by-step explanation:
i did this b4
5 plus square root of 45 divided by 4
5+ sqrt45/4
5+5/4
6.75
Can someone explain please? Answer + explanation :(
Answer:
I don't understand this please explain what I am looking at
Step-by-step explanation:
please help , thank you !!!!!!1
The total length of a road trip was 19.6 hours. If highway signs are posted every 0.7 hours, including one at the end of the road trip, how many highway signs will there be on the road trip.
Answer:
28
we can do it by dividing the journey time by in how after how many time the sign is place so 19.6/0.7=28
Hope you like it please make me the brainiest.
Thank You
-Parshv
For your vacation, you pack 3 shirts,
2 pairs of pants, and 2 pairs of
shoes. How many combinations of
unique outfits can you make?
Answer:
12
Step-by-step explanation:
3 shirts x 2 pants x 2 pair shoes= 12 outfits
Write the following numbers in order from least (smallest) to greatest (largest). *
1, 3, -1, 0, -5
Answer:
-5 , -1 , 0 , 1 , 3
Step-by-step explanation:
find the volume of the cylinder please, I'll mark brainliest if you can help!
A person whose eyes are 5 feet above the ground is standing on the runway of an airport 100 feet from the control tower. That person spots one of the air traffic controller at the window of the 132 foot tall tower. What is the angle of elevation to the nearest tenth of a degree?
Answer:
132-5 therefore the height from the eyes to the window is 127
100 feet away from the base of the tower
This forms two legs of a triangle
trying to find the degrees of this triangle.
Since its the two legs, you can use tanx which = to opposite side/adjacent side
Therefore, it is tanx = 127/100
But you are looking for x so arctan(1.27)
Must use calculator to find x.
у
What is the relation between the variables in the equation x?
10 ?
a. x varies directly with the square of y
b. y squared varies inversely with x
c. y varies directly with x squared
d. y varies inversely with x squared
Answer:
We need an equation to complete this question. please post another question, including an equation
giving brainliest! (look in attached image)
Answer: 50$
Step-by-step explanation:
15:3=5$
25:5=5$
30:6=5$
60:12=5$
5$ x 10=5=50$