The table shows the total amounts y (in thousands of dollars) of money a homeowner saves on electric bills x years after installing solar panels.
a. Write an equation that models the total amount of money saved as a function of the number of years after the solar panels were installed.
y = _______
b. Interpret the slope and y-intercept of the line of fit.
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
A linear equation is given by:
y = mx + b
where y, x are variables, m is the rate of change, b is the initial value of y (y intercept).
Let y represent the total money in thousand dollar saved for x years.
Taking the points (0, -12) and (20, 20).
The equation is given as:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-(-12)=\frac{20-(-12)}{20-0} (x-0)\\\\y+12=1.6x \\\\y=1.6x-12[/tex]
The slope of the line means that the homeowner saves 1.6 thousand dollars per year while the y intercept means that the cost of installing the solar panels is 12 thousand dollars.
Find out more at: https://brainly.com/question/13911928
Identify all the word phrases that can be represented using the expression 3t – 5.
(Choose 2)
Answer:
B
Step-by-step explanation:
3t is also represented as 3(t)
which is multyplication
theirfor the product
Answer:
Step-by-step explanation:
3t - 5
can you keep the options?
my answers would be
5 less than product of 3 and a number
Please help thanks!!!
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
Answer: ?
Step-by-step explanation:
What happens if I find the sum of two even numbers
I don't know what you mean by this but you'll just get a value larger than the two sums that you added
5 + 7 = 12
3 + 4 = 7
Answer:
The sum will always be even
Step-by-step explanation:
You are paid 82.50 for 7 1/2 what is ur rate of par
HELP ASAP!!!
What are the exact solutions of x2 − 3x − 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 3 plus or minus the square root of 5 all over 2
x = the quantity of negative 3 plus or minus the square root of 5 all over 2
x = the quantity of 3 plus or minus the square root of 13 all over 2
x = the quantity of negative 3 plus or minus the square root of 13 all over 2
Explanation:
The given equation is in the form [tex]ax^2+bx+c=0[/tex], where,
a = 1b = -3c = -1Use the quadratic formula to get the following
[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(-3)\pm\sqrt{(-3)^2-4(1)(-1)}}{2(1)}\\\\x = \frac{3\pm\sqrt{9+4}}{2}\\\\x = \frac{3\pm\sqrt{13}}{2}\\\\[/tex]
The last equation matches with choice C.
The number of board games cannot be negative. Write this constraint.
The number of role-playing games cannot be negative. Write this constraint
Step-by-step explanation:
回答 你今天在做什么 我父亲是一个地球仪 并将其邮寄给今日印度的中央政府组 为年轻人提供在线学习 答案是肯定的 我不确定你是否
what is the equation in slope intercept form of the line that has a slope of -7 and y intercept of 3/11
Answer:
y = -7x + 3/11
Step-by-step explanation:
Combine Like Terms:
7X + 3M - 2(2X + 8) + 24 + 8M - X
so hard
Answer:
11M + 2X + 8
Step-by-step explanation:
Hope this helps!! :))
Answer:
11M + 2x + 8
I did the math
it rights tho
Four glasses of milk and 3 snack bars have a total of 96 carbohydrates (carbs), and 2 glasses of milk and 4 snack bars have
many carbs are in one glass of milk and in one snack bar,
total of 78 carbs. Determine how many carbs are in one glass of milk
Answer:
Each snack bar contains 12 carbs and each milk contains 15 carbs.
Step-by-step explanation:
Let M be the carbs in milk and S the carbs in a snack bar.
We are told:
4M + 3S = 96, and
2M + 4S = 78
===
We can eliminate one of the variables and then solve for the other. Let's multiply the second equation by -2 and then add it to the first. This will eliminate the M:
4M + 3S = 96
-4M - 8S = -156
-5S = - 60
S = 12
Each snack bar has 12 carbs. Use either equation to find M. I'll use the second:
====
2M + 4S = 78
2M + 4*(12) = 78
2M + 48 = 78
2M = 30
M = 15
Each milk contains 15 carbs
Find the quotient: 8,441 ÷ 21 = ________. (1 point)
400 r 12
400 r 20
401 r 12
401 r 20
Pls Help ASAP!!! Thank you!!
Answer:
401 r 20
Step-by-step explanation:
Suppose a candy bar weighs ounces. How much does a pack of bars weigh?
Answer: it ways ounces?????????????
Step-by-step explanation:
help please??? really don't understand this:)
Answer:
9.4
Step-by-step explanation:
Each pay 7.05.
7.05 times 4 equals 28.20, so it is 28.20 for 3 tickets, they all pitched in.
Each ticket costs 9.4
Please mark brainliest
Answer:
Each ticket costs $9.4
Step-by-step explanation:
Since they're using the Cinema tickets offer, all four friends are paying actually paying for a total of 3 tickets. They get 1 ticket for free.
7.05 x 4 = 28.2 (Amount paid from all 4 friends)
Now divide 28.2 by the # of tickets they're paying for.
28.2/3 = 9.4 (Cost of each ticket)
Hope this helps! Please mark me as brainliest! :D
Directions: Solve for x, then find each angle measure
Answer:
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
so
9x + 3 + 11x - 21 + 5x - 2 = 180
25x = 180 - 3 + 21 + 2
25x = 200
x = 200 : 25
x = 8
----------------
E = 9 * 8 + 3 = 75°
D = 5 * 8 -2 = 38°
F = 11 * 8 - 21 = 67
-------------------------
check
75 + 37 + 67 = 180°
The required simplified value of the x is 8, as of the given condition.
A figure of the triangle is given, from the measures of the angle we have to determine the value of the x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
As for the property of a triangle, the sum of the angle is 180,
5x - 2 + 11x -21 + 9x + 3 = 180
25x -20 = 180
25x = 200
x = 8
Thus, the required simplified value of the x is 8.
Learn more about simplification here:
https://brainly.com/question/12501526
#SPJ2
Determine the range of the following graph:
Answer:
5,_5,5,
_8,_3,5,
Step-by-step explanation:
from 5 u get _8,from _5 you get _3 and so on
Hi i need the answer to this asap please
2 divided by 3
please explain how you got answer like show work
please do not answer in decimal form or the answer from go ogle
and please dont just answer for points
If i can get 2 prego pasta sauce for $8 how much would it be for 1 prego pasta?
Answer: $4
Step-by-step explanation:
If you have 2 Prego pasta sauces at $8 and you only want half of that (1), you divide 8 by 2 to get 4. 1 pasta sauce equals $4
Answer:
$4
Step-by-step explanation:
divide 8 by two
to find the price of one prego pasta divide the cost of your object by the amount of objects
what is the place value of 2 in 842567
Answer:
842567
the answer is thousands
7 is ones
6 is tens
5 is hundreth
2 is thousands
4 is ten thousands
8 is hundred thousands
Hope This Helps!!!
please is for today and fast
Answer:
slope= [tex]\frac{2}{3}[/tex] or 0.6
y-intercept= -1
y= 0.6x+ -1
Step-by-step explanation:
slope= [tex]\frac{rise}{run}[/tex]
the y-intercept is where the line crosses the y axis
the equation for a line is y=mx+b where m is slope and b is y
Answer:
Slope: 1.5
Y-intercept: (0,-1)
Equation of the line: y=1.5x-1
Step-by-step explanation:
Slope=
change of y/change of x=
3/2 (or 1.5)
Equation of the line:
y=1.5x+b
-1=1.5(0)+b
-1=b
y=1.5x-1
Please HeLp 100 PoInTs + bRaNlEyIsT
Answer:
It is congruent doe to the angle side angle congruence thereom AKA ASA
Step-by-step explanation:
That means there are two angles and one side in between. A pair of triangles that follow this rule has an angle that is congruent to one angle. Then a side that has a tick mark after the angle must match another. Then the last angle has to match another angle ( and it can't be the same angle as before). Usually the first pair angles have 1 semicircle and the second pair has 2 semicircles.
SOMEONE HELP MEEEEE PLEASEEEEE
Answers:
A.(1.5,0.75)
B.(1.75,0.5)
C.(0.75,1.5)
D.(1.5,1.75)
D is the answer, not A
1,8,27,64
find the rule and show how did you find it
Answer:
Its a cubic number formula
Step-by-step explanation:
1, 8, 27, 64, 125, 216, 343
Consider the line y = 3/5x + 4.
Find the equation of the line that is parallel to this line and passes through the point left (- 5,-1)
Answer:
y=3/5x + 2
Step-by-step explanation:
y-(-1)=3/5(x-(-5))
y+1=3/5(x+5)
5y+5=3x+15
5y=3x+10
y=3/5x+2
Using partial quotients to solve 604 ÷ 5, which is the best choice for the first number to be subtracted from 604?
500
5
5,000
50
Please be quick
Answer:
500
Step-by-step explanation:
Umm I dont know how to explain but im 100% sure
I got it right on my quiz so...
Answer: 500
Step-by-step explanation:
the first one
HURRY! THIS IS OVERDUE!
Pls help! I will mark brainliest!! No links, no stealing points, and only correct answers!!! I will report nonsense answers!!!
In which table does y vary directly with x?
Answer:
Answer is D
Step-by-step explanation:
The equation for D is y = x · 4
X | Y
1 · 4 = 4
2 · 4 = 8
3 · 4 = 12
So Y varies directly with x in table D
Can someone explain the concept of conversion tables to me? I don't understand how to use them, (mainly because of the amount of numbers involved) and I need some help.
Answer:
Conversion tables are very important. I can help you if you let me know what unit of conversion (meters, grams, gallons, etc)
Step-by-step explanation:
I WILL GIVE BRAINLIEST!! PLS HELP
Answer:
BC is congruent to EC by definition of bisect.
<ABE is congruent to <BED by alternate interior angles.
<ACB is congruent to <ECD by vertical angle theorem.
Triangle ABC is congruent to triangle DEC by ASA congruence theorem
Answer:
Ooook. One thing at a time
C is the midpoint of AD and BE: The two segments bisects each other.
Being the midpoint AC≅CD and BC ≅CE.
The triangles are congruent by SSS.
Side note: there are more information than needed. Only the first line (the congruence between the two angles) and the fact that C is the midpoint of BE would be enough to prove the congruence of the triangles. Funnily enough, the second line alone is not enough to prove it tho.
What are complex integers ?
Answer:
In mathematics, a complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is a symbol, called the imaginary unit, that satisfies the equation i² = −1. Because no real number satisfies this equation, i was called an imaginary number by René Descartes.
Step-by-step explanation:
Complex Integer
(or Gaussian integer), a number of the form a + bi, where a and b are integers. An example is 4 – 7i. Geometrically, complex integers are represented by the points of the complex plane that have integral coordinates.
Complex integers were introduced by K. Gauss in 1831 in his investigation of the theory of biquadratic residues. The advances made in such areas of number theory as the theory of higher-degree residues and Fermat’s theorem through the use of complex integers helped clarify the role of complex numbers in mathematics. The further development of the theory of complex integers led to the creation of the theory of algebraic integers.
The arithmetic of complex integers is similar to that of integers. The sum, difference, and product of complex integers are complex integers; in other words, the complex integers form a ring.
Answer:
An immediate consequence of the definition of arithmetical operations on complex numbers is that the sum, the difference, and the product of two or more complex numbers.
Step-by-step explanation:
Which number is both a factor AND a multiple of 4? 1,2,4,8
Answer:
1,2,4,
Step-by-step explanation:
A researcher is following the growth of a particular type of flower. She writes the given equation to show the height of the flower g(n), in inches, after n days.
g(n) = 10(1.02)n
What does the average rate of change of the function represent?
A.
the number of days flower grew
B.
the average height of the flower after 5 days
C.
the average growth of the flower from day 1 to day 5
D.
the average time it takes for the flower to grow from 1-5 inches
The expression given represents an exponential growth relation. The average rate of change is the average growth of the flower from day 1 to days 5
The rate of change of the flower can be deduced frommthe equation as :
1.02 - 1 = 0.02Hence, the growth rate of the flower per day = 0.02
The number of days, n = 5
Therefore, the average growth rate is the average growth of the flower within the number of days given.
Learn more : https://brainly.com/question/25449918
Answer:
C
Step-by-step explanation:
I got it right