The table below shows the average annual salary of the workers at the Pearson
Corporation over the course of time since 1980. Let x represent the number of years
since 1980 with x = 0
representing the year 1980. Let y represent the average annual
salary of the workers. Complete the slope-intercept form of the equation for the line of
best fit below with the appropriate value for the slope.
Answers
Answer:
[tex]y = 1164x + 14242[/tex]
Step-by-step explanation:
From the question, we understand that
x = 0, when year = 1980
First, we need to determine the slope of the table.
Pick any two corresponding values of year and average salary
year = 1982, average salary = 16570
year = 2002, average salary = 39850
Convert years to x values
year = 1982 implies that x = 2 i.e. 1982 - 1980
year = 2002 implies that x = 22 i.e. 2002 - 198-
So, we have:
[tex](x_1,y_1) = (2,16570)[/tex]
[tex](x_2,y_2) = (22,39850)[/tex]
Determine the slope.
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{39850 -16570}{22 - 2}[/tex]
[tex]m = \frac{23280}{20}[/tex]
[tex]m = 1164[/tex]
The equation is calculated using:
[tex]y - y_1 = m(x - x_1)[/tex]
Where
[tex]m = 1164[/tex]
[tex](x_1,y_1) = (2,16570)[/tex]
So,
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - 16570 = 1164(x - 2)[/tex]
[tex]y - 16570 = 1164x - 1164*2[/tex]
[tex]y - 16570 = 1164x - 2328[/tex]
Add 16570 to both sides
[tex]y - 16570 + 16570 = 1164x - 2328 + 16570[/tex]
[tex]y = 1164x - 2328 + 16570[/tex]
[tex]y = 1164x + 14242[/tex]
Answer:
y = 1164x + 14,242
Step-by-step explanation:
Related Questions
What is the mean of integers
-16,-27,21,-19,14,-3
-
Answers
Answer:
-5
Step-by-step explanation:
-16+(-27)+21+(-19)+14+(-3)/6
-30/6
=-5
What is the distance between the points 4 and -5 on a number line?
Answers
Answer:
9
4--3--2--1--0--1--2--3--4--5
Positive Negative
Step-by-step explanation:
Find the slope of the linear function that passes through the points (−1, 5) and (8, 11).
Answers
Answer:
6 over 9
Step-by-step explanation:
y2-y1 over x2-x1
Large chocolate bar has a base area of 48.96 square feet and its length is 0.6 foot shorter than twice its width. Find the length and width 
Answers
Answer:
Length=9.6
Width=5.1
Step-by-step explanation:
Step one:
given data
for the large chocolate
Area=48.96ft^2
let the width be x
w=xft
let the length be l
l=(2x-0.6)
Step two:
we know that area A=length * width
48.96=(2x-0.6)*x
48.96=2x^2-0.6x
2x^2-0.6x-48.96=0
divide through by 2 we have
x^2-0.3x-24.48=0
solving the quadratic equation, the roots are
x=5.1
x=-4.8-----not correct cannot be -ve
so x=5.1
the width is 5.1
the length = 2(5.1)-0.6
l=10.2-0.6
l=9.6
check Area= 9.6*5.1= 48.96
The length and the width of the bar are 6.7ft and 7.3ft respectively
The formula for calculating the volume of the chocolate bar is expressed as:
V = Base area * heightGiven the following parameters
Base area = 48.96 square feet B = length * width48.96 square feet = lwIf the length is 0.6 foot shorter than twice its width, hence;
l = w - 0.6
The expression becomes;
[tex]48.96 = w(w-0.6)\\48.96 = w^2 - 0.6w\\w^2 - 0.6w - 48.96 - 0[/tex]
On factorizing the result, w = 7.3ft
Recall that l = w - 0.6
l = 7.3 - 0.6
l = 6.7ft
Hence the length and the width of the bar are 6.7ft and 7.3ft respectively.
Learn more here: https://brainly.com/question/2607596
i need help pls help me what is the answer to -2(8)
Answers
Answer:
-16
Step-by-step explanation:
hope this helps love <3
Felicia has grown five pumpkins. The first is 25.34 pounds. The second
weighs 10.23 pounds less than the first. Both the third and fourth pumpkin
are 13.2 pounds. If the combined weight of the pumpkins is 71.87 pounds,
how much does the fifth pumpkin weigh?
Answers
Answer:
5.02
Step-by-step explanation:
In 12 hours , the temperature fell steadily from 17F to -7F. What was the change in temperature
Answers
Answer:
the change was 24F
Step-by-step explanation:
So given a rectangle with a perimeter of 40, and
a length 7, what is the width?
Answers
Answer:
13
Step-by-step explanation:
7 x 2=14
40-14=26
26/2=13
Answer:
40 - 14 = 26
26/2 = 13
The width is 13
what are the possible degrees for the polynomial function
Answers
Answer:
Degree of the polynomial function = 5
Step-by-step explanation:
Since, the given graph of a polynomial has the x-intercepts at x = -2, -0.5, 0.5, 1.5, 3
Therefore, the equation of the polynomials with zero roots will be,
y = (x + 2)(x + 0.5)(x - 0.5)(x - 1.5)(x - 3)
When we solve this expression highest degree of the variable x will be 5.
Therefore, the possible degree of the polynomial function = 5
Answer:
i was going to screenshot the answer bc i got it right but its
"odd 5 degrees or greater" :)
hope all you guys are healthy and safe
What term is defined by the formula?
Answers
A family wanted to stay in a hotel for 4
days. The hotel charges $60 a night. What is the
total they will pay?
Answers
Answer:$240
Step-by-step explanation:
science pls help I give brainliest
Answers
Answer:
the answer is the third one
Step-by-step explanation:
Answer:
c snow sleet and hail
Step-by-step explanation:
rain snow sleet ice
MARKING PEOPLE AS BRAINLIST
Answers
Answer:
d
Step-by-step explanation:
Answer: The correct answer is D or number 4.
Step-by-step explanation:
I hope that this helped :)
the graph of linear function f passes through the point(-6, -1) and has a slope of 1/2 what is the zero of f? 2 or 11 or 4 or -4
Answers
I think the answer is 2.
BR⊕uh ∵㏑ w+f br㏒∝²³·ωβ←↑∫⇄°°∀⇆⊂∅║≤≈×∛∫∴∵°I will pick the brainiest answer! Thanks! :)
Answers
Answer:
The first one: if 2/3 is 12 then 1/3 is 6. 3/3 is 18. SO Jane had 18 stuffed animals before the donation.
The second one: 25 students then 13 are men so 25-13 is 12. 12/25 as a percentage is 48%
Hope this helps!
Answer:
[tex]Section \: A. \\before \: the \: donation \ : jane \: had \: \boxed{18 \: (stuffed \: animals)} \\
Section B.\\
\boxed{the\: percentage\: of\: female\: student\: is\: \boxed{48 \%}}
[/tex]
Step-by-step explanation:
[tex]Section A.\\let \: the \: total \: animals \: be \to \: t_{a} \\ let \: the \: donated\: animals \: be \to \: d_{a} \\ then \to \\ if \: d_{a} = \frac{2}{3} (t_{a} ) : we \: can \: find \: t_{a} \: by \to \\ 12 = \frac{2}{3} (t_{a} ) \\ 2(t_{a} )= 12 \times 3 \\ t_{a} = \frac{36}{2} \\ \boxed{ t_{a} = 18.}
\\ \\
Section B.\\
let \: the \: total \: number\: of \: students\: be \: be \to \: t_{s} \\ let \: the \: number\: of \: male\: student\: be \: be \to \: m_{s} \\ then \to \\ if \: t_{s} = m_{s} +1 3 \: then \\
m_{s} = t_{s} -13\\
m_{s} = 25-13 \\
m_{s} =12 \\
hence \: percentage \: of \: girls \: is = \frac{12}{25} \times 100 \\
the \: percentage\: is \to \boxed{m_{s} = 48\%}
[/tex]
♨Rage♨
4/9 is equivalent to 8/18 ?
Answers
Answer:
yes
Step-by-step explanation:Because if you divide 8/18 by 2 you get 4/9 so yes
Answer:
Yes.
Step-by-step explanation:
4/9 IS equivalent to 8/18. If you simplify 8/18 it is equal to 4/9, therefore they have the same value.
Hope this helps, have a good day :)
Solve the inequality: -2.2p > -8.8
Answers
Answer:
Less than -4
Step-by-step explanation:
negative numbers multiplied by negative numbers= positive numbers
so less than -4 makes the sum greater
Answer:
p<4
Step-by-step explanation:
REASON: The four has an open circle and it's four greater than the number/variable
~~Hope this helps~~
[tex]\pi - 1[/tex]
rational or irrational
Answers
because pi is an infinite number and subtracting 1 doesn’t really change the fact that it’s infinite/irrational
HELP PLEASE 15 [POINTS]
Answers
Answer:
A
Step-by-step explanation:
I just used Pythagorean Theorem for this one
I hope this helps!!
A lab technician cuz a 12 inch piece of tubing into two pieces in such a way that one piece is two times longer than the other
Answers
The question is not complete. I have assumed you want to calculate the length of each piece.
Answer:
The shortest piece is 4 inches long
The longest piece is 8 inches long
Step-by-step explanation:
Equations
One piece of tubing is two times the other.
Let's call
x=the shortest piece of tubing
2x=the longest piece of tubing
The total length of the piece of tubing is 12 inches, thus:
x + 2x = 12
Simplifying:
3x = 12
Dividing by 3:
x = 12 / 3 = 4
x=4, and 2x=8, thus:
The shortest piece is 4 inches long
The longest piece is 8 inches long
Mr. Desario wrote the equation y = −3x + 7 on the board and drew the graph shown below.
Answers
Answer:
ok what do you want help with?
Step-by-step explanation:
PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((
Answers
Answer:
2/5 or .4
Step-by-step explanation:
basically look at the points where the line meets the graph. two points would be 0,20 and 50,40. then count the amount that it changes vertically and then horizontally. +20vertical +50 horizonal giving the slope 20/50. this can then be simplified to 2/5 or the equivalent number .4
Answer:
If I remember correctly, the slope would be 2/5.
A baker has three banana muffin recipes. Recipe A uses 3 bananas to make 12 muffins. Recipe B uses 5 bananas to make 24 muffins. Recipe C uses 1 banana to make 48 muffins.
Order the recipes by the number of bananas per muffin from least to greatest.
Answers
Answer:
Step-by-step explanation:
3/12=1/4, which means 1 banana per muffin
5/24=4.8, which means 5 bananas per muffin
1/48, which means 1 banana per 48 muffins
simplify [tex]\sqrt{-121}[/tex]
Answers
Answer:
You cannot simplify because you cannot square root a negative.
Drilon got 63 out of 72 correct in his test.
What fraction of the marks did he get wrong?
Give your answer in its simplest form.
Answers
Answer:7/10
Step-by-step explanation:
Answer:
1/8
Step-by-step explanation:
He got 63/72 correct.
Since he got 9 wrong (72-63).
Fraction of wrong answers = 9/72
Which is equal to 1/8.
what is (40x33)+(4)x4??
Good luck
Answers
Answer:
1336
PLZ let me know if im wrong!!!
Stefan sells Jin a bicycle for $149 and a helmet for $16. The total cost for Jin is 150% of what Stefan spent originally to buy the bike and helmet. How much did Stefan spend originally? How much money did he make by selling the bicycle and helmet to Jin?
Answers
Answer:
55
Step-by-step explanation:
149+16=165, 165/150=1.1, 1.1*100=110, 165-110=55
Answer:
55
Step-by-step explanation:
i used a calculator cause IK the equation but I couldn't get the right answer
rewrite 5\11 and 3\7 so that they have common denominator
Answers
Answer:
It would be 35/77 and 33/77
Step-by-step explanation:
You multiply the denominators until they are equal
What is 17 + -176 + 19 + 14 - -1723 + 3 / 9.
Order of operations.
Answers
Answer:
1597.3333333333
Step-by-step explanation:
= 17-176+19+14+1723+3/9.
= 17-176+19+14+1723+0.33333333333333
= -159+19+14+1723+0.33333333333333
= -140+14+1723+0.33333333333333
= -126+1723+0.33333333333333
= 1597+0.33333333333333
= 1597.3333333333
Jared is 10 years old. His brother Peter is 15 years old. What are some chewy fruit worms they can share without having to make new cuts?
Answers
Answer:
gummy worms
Step-by-step explanation:
If you are trying to make an equal amount of distributed chewy fruit worms, then any number that is even will be okay, if they are only two people, and age doesn't really matter, unless one of them as some sort of age-induced medical problem or a sugar deficiency.
