Answer:
[tex]y = 30x +50[/tex] --- Sam
[tex]y = 20x +80[/tex] --- Tim
Step-by-step explanation:
Given
Sam Tim
х --- f(x) --------------- g(x)
1 --- 80 --------------- 100
2 --- 110 --------------- 120
3 --- 140 --------------- 140
4 --- 170 -------------- 160
Required
Determine the y value
y value implies the equation of the table
Calculating the equation of Sam
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,80)[/tex]
[tex](x_2,y_2) = (4,170)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{170 - 80}{4 - 1}[/tex]
[tex]m = \frac{90}{3}[/tex]
[tex]m = 30[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 80 = 30(x - 1)[/tex]
[tex]y - 80 = 30x - 30[/tex]
Make y the subject
[tex]y = 30x - 30 + 80[/tex]
[tex]y = 30x +50[/tex]
Calculating the equation of Tim
First, we need to take any corresponding values of x and y
[tex](x_1,y_1) = (1,100)[/tex]
[tex](x_2,y_2) = (4,160)[/tex]
Next, we calculate the slope (m)
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{160 - 100}{4 - 1}[/tex]
[tex]m = \frac{60}{3}[/tex]
[tex]m = 20[/tex]
Next, we calculate the line equation using:
[tex]y - y_1=m(x-x_1)[/tex]
[tex]y - 100 = 20(x - 1)[/tex]
[tex]y - 100 = 20x - 20[/tex]
Make y the subject
[tex]y = 20x - 20+100[/tex]
[tex]y = 20x +80[/tex]
Which of the following is an example of a complex number that is not in the set of real numbers?
O-7
O 2+ V3
O 4 + 9
Ол
Answer:
C) 4+9i
Step-by-step explanation:
A complex number is represented as: [tex]a + bi[/tex].
Where: [tex]a \to[/tex] Real part and
[tex]bi \to[/tex] Imaginary part
From the given numbers, [tex]4 + 9i[/tex] is a complex number
The given numbers are:
[tex]-7[/tex]
[tex]2 + \sqrt 3[/tex]
[tex]4 + 9i[/tex]
[tex]\pi[/tex]
By comparing [tex]a + bi[/tex] with the given numbers;
We can conclude that: [tex]4 + 9i[/tex] is a complex number
Because it has a real part (4) and an imaginary part (9i)
Read more about complex numbers at:
https://brainly.com/question/19007885
help asap
As x + 0, y →-00
The y-intercept of the graph is -1.
The graph has no relative minimum value.
the graph has a maximum value at x = 5.
The graph has a relative maximum value at x = -3.
As x + -00, y → -
Answer:
e
Step-by-step explanation:
Find the slope on the graph
Answer:
Slope is 1/4
Step-by-step explanation:
Count the rise over run from somewhere the line is matched up with a whole point, like 20 or 60. The next place the point is a whole (if starting from 20) is 60. Run is 4. The Rise from 20 to 60 is 1
Answer:
[tex]\frac14[/tex]
Step-by-step explanation:
Hello!
Slope can be calculated by the formula [tex]\frac{Rise}{Run}[/tex].
Rise is the change in y between two pointsRun is the change in x between two pointsWe need two points to calculate the slope.
The two points I'm picking are (20,10) and (60,20)
Calculate the SlopeChange in y (10 and 20) is 10Change in x (20 and 60) is 40.Plugging it into the formula:
[tex]\frac{10}{40}[/tex][tex]\frac14[/tex]The slope is [tex]\frac14[/tex].
The value of 2x/3 - 7 = 5 is
Answer:
x = 18
Step-by-step explanation:
2x/ 3 - 7 = 5 (multiply both sides by 3 to get rid of the 3 under the 2x)
2x - 21 = 15 ( add 21 to both sides)
2x = 36 (divide both sides by 2)
x = 18
HOpe this helps ya!!
Catalinas mother recorded her Height each year. The table below shows her height in inches
A researcher conducts an experiment to determine whether moderate doses of St. John's Wort have any effect of memory for college students. For this study, what is the independent variable
Answer:
Consumption of moderate doses of St. John's Wort
Step-by-step explanation:
A variable that changes without depending on the other variable is called the independent variable and the variable that changes relative to the independent variable is called the dependent variable.
Here the effect of St. John's Wort on memory is being studied.
So, the independent variable would be the consumption of moderate doses of St. John's Wort and the dependent variable would be the effect it has on the person's memory.
Today, there were 3 students absent from the math class. Each students that attended school solved 17 equations in math class. At the end of the class the teacher told the students that together they solved 408 equations today. How many students are this class if no one is absent?
Answer:
27 studentsStep-by-step explanation:
Number of students present in the math class:
408/17 = 24Number of students in this class:
24 + 3 = 27Trevor was reading a book for a book report. Last week, he read 35 pages of the book. This week, he read 4.5 times as many pages as he read last week.
How many pages of the book has Trevor read this week? Complete the explanation.
I only need like a
35
x 4.5
---------------
[ ]
[ ]
---------------
[ ]
9514 1404 393
Answer:
see below
Step-by-step explanation:
Multiply the numbers as though they were integers, then mark off a number of decimal places in the product equal to the total number of decimal places in the numbers being multiplied (1).
Lae bought grapes for $1.50 per pound. A 2-column table has 4 rows. Column 1 is labeled Pounds x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.50, 3.00, 4.50, 6.00. Create a graph of the relationship between the two quantities. Complete the statements. Use the numbers in the table to create . are graphed on the x-axis. are graphed on the y-axis. Plot the on the graph. Draw a that starts at the origin and connects all the points.
The graph of dollar and pound table of Lae is graphed below in which pounds are graphed on the x-axis and dollars are graphed on the y-axis.
How to plot a graph from table?To plot a graph from a table, make the ordered pair of values of coulom 1 and 2 of the table. Plot a line or curve with these ordered pair on the graph.
Lae bought grapes for $1.50 per pound. A 2-column table has 4 rows.
Column 1 is labeled Pounds x with entries 1, 2, 3, 4. Column 2 is labeled Dollars y with entries 1.50, 3.00, 4.50, 6.00.The created graph of the relationship between the two quantities is attached below. Now lets complete the statements.
Use the numbers in the table to create ordered pair. Pounds are graphed on the x-axis. Dollars are graphed on the y-axis. Plot the ordered pair on the graph. Draw a straight line that starts at the origin and connects all the points.Hence, the graph of dollar and pound table of Lae is graphed below in which pounds are graphed on the x-axis and dollars are graphed on the y-axis.
Learn more about plot a graph here;
https://brainly.com/question/26403321
Answer:
1. ordered pairs
2. pounds
3. dollars
4. ordered pairs
5. straight line
I apologize if im late!
Find the first 5 terms of the sequence, and state its rule.
12n-12
Need it asap i will mark brainliest
Answer:
Sequence; 12, 24, 36, 48, 60, 72, 84, 89, 108...
12th value: 144
The sum of all numbers go through the 12th : 936
Step-by-step explanation:
Answer:
It’s rule is to find the first 5 terms of the variable “n”
Step-by-step explanation:
A pizzeria's gains and losses for 3 months are: $627, -$480, and $854. What is the pizzeria's total profit or loss after 3 months?
A. $1961
B. $147
C. $374
D. $1001
Answer:
1001
Step-by-step explanation:
Answer:
$1001
Step-by-step explanation:
$627 -$480 + $854 = 1001$
Mr. Vitorello spends 35% of his salary on rent. He makes $2,500 each month. How much does he spend on rent each month?
Answer: He spends 875 a month on rent.
Step-by-step explanation:
35 x 2500 = 87500
87500 / 100 = 875
Hope this helps :)
Answer:
He spends $10,500
Step-by-step explanation:
Since salary is yearly we multiply 2500 by 12 and we get 30000
And 35% of 30000 is 10500
Dylan makes $336 for 32 hours of work, and Angela makes $441 for 42
hours of work. What is the constant of proportionality? *
It’s the first question just to let you know
Hope this helps:)
9100 dollard placed into an account with an annual intrest of 5% to the neareast year how long will it take for the account to value 36900 dollars
Answer:
81 years
Step-by-step explanation:
The answer is 81 because 5% of 9100 is 455 and 36900 divided by 455 is rounded to 81.
Which angle corresponds to angle 6
how can you tell whether or not a figure is a scaled copy of another figure?
Answer:
If they are divisible by the numbers in the original shape, then try and see if the others sides of the scaled copy are scaled by the same factor. If they are, then they are a scaled copy.
Step-by-step explanation:
Martha read 1/6of her library books on Saturday and 5/12 of her book on Sunday, how much more does Martha have left to read
Answer: She has 5/12 left of her book to read as well
Step-by-step explanation:
Martha read 1/6 books on Saturday and 5/12 books on Sunday, then the books left to read will be 5/12.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the given information in the question,
Books read by Martha on Saturday = 1/6
Books read by Martha on Sunday = 5/12
Then, the number of books left to read is,
1 - (1/6 + 5/12)
Take LCM as 12,
[12 - (2 + 5)]/12
= (12 - 7)/12
= 5 / 12
To know more about arithmetic operations:
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Please help! this is algebra 2!
Can someone solve this for me please?
1/3h = -2/3
Answer:
h = -2
Step-by-step explanation:
Just plug it into a calculator
Answer:
h=-2
Step-by-step explanation:
1/3h = -2/3
To find the h divide both sides by 1/3.
1/3h÷1/3 = -2/3÷1/3
h=-2
What is an equation if the line that passes thriugh the point (-4,-6) and is parallel to the line 3x - y = 6
Answer:
the desired equation is 3x - y = -6
Step-by-step explanation:
Recall that parallel lines have the same slope. Thus, the desired line has an equation of the form 3x - y = C, where C is determined by the coordinates of the point (-4, -6).
3x - y = C becomes 3(-4) - (-6) = C after substitution of -4 and -6 for x and y respectively. Then -12 + 6 = C, and C = -6.
Thus, the desired equation is 3x - y = -6
HELP, it’s question 17
Answer: A
Step-by-step explanation:
Answer:
1/3 of 60 = 20
2/5 x 3 = 1 1/5
A: 1 1/5 cans of paint
Step-by-step explanation:
SOMEONE PLEASE HELP!!!!!
Answer:
on the first triangle it is equal, 1.5 on the left of it is half of 3 on the right triangle, 5 on the left is half of 10 on the right triangle. so the answer is 8 becuase each side on the left is 2 times the side on the right
Step-by-step explanation:
hope this helps
is the earth flat because i was watching YouTub.e and someone told me it was
Answer:
The Earth is flat when displayed on a map. The world is also a sphere when displayed on a globe. If you look at a picture of Earth from space it is a sphere. It kinda depends who you ask. My classmate have been debating that since 6th grade and we are in 9th now XD.
The price of a Thanksgiving turkey sold at Fry's is equal to the original cost in dollars that Fry's paid
for it plus a markup of 6/10 of that original cost (so they can make a profit). If the original cost of the
turkey is x, write an expression to represent the final cost of
the turkey
Answer: The largest per pound at which turkeys sold
Step-by-step explanation:
hope this helps!
Answer:
x + 6/10x =t
Step-by-step explanation:
the t is for the final cost, if this doesnt work, type this into keyboard and you might find a different answer
It takes Ernie 45 hours to paint the house alone. Silene can do it in 36 hours alone. How long
would it take them to paint the house together?
Mark bought gifts for his friends, and each gift cost $9. Let y represent the total cost and represent the number of gifts. Write an equation to represent the proportional relationship between the total cost and the number of gifts he bought. (4 points) Oy=8x a 1 y = 8 x Oy=9x O 1 y = 9 x
Answer:
y=9x (O 1)
Step-by-step explanation:
9 times the number of gifts he bought which lets say is x will equal your answer (y).
Q#2 Pleaseeee answer my guy it’s literally the biggest grade I got and I’m tiredddd
Answer:
Add 3 to both sides.
2x=9+3
simplify 9+3 to 12
2x=12
Divide both sides by 12
x= 12
2
simplify
x=12
please help
There are 2 answers for this (use a comma to separate them)
Emma got 90% of the questions on her history test correct if she answered 27 questions correctly, how many questions did Emma get wrong?
There were (A) questions on the test so she got (B) questions wrong
Step-by-step explanation:
we can make it as a ratio
90/100=27/total Q
total Q= (27*100)/90=30
So wrong questions=30-27=3
hope this helps!
What is the ratio
18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours
Use a standard inch ruler to answer each question. Then, write a multiplication equation and a division equation that answer the question. a. How many s are in 7? b. How many s are in 6? c. How many s are in?
Answer:
5
Step-by-step explanation: