Answers
Answer:
y = -1/2x + 2
Step-by-step explanation:
Let the equation of the green line be y = mx + c
From the graph, (-6, 5) and (0, 2) are 2 points on the green line.
m = (2-5)/(0-(-6)) = -1/2 (using gradient/slope formula)
sub (0, 2) and m = -1/2:
2 = -1/2(0) + c
2 = c
therefore,
equation of the line: y = -1/2x + 2
Related Questions
One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, \small x, and the amount of donations in dollars, \small y, that the organization collected each week for 10 weeks. The data in the scatter plot suggest a linear association. A line to model the data is given by \small y=12x+41.
Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.
Answers
Answer:
The more hours she worked the more donations she would receive.
Step-by-step explanation:
In the chart the higher the number of how many hours she worked resulted in a higher amount of donations
The association between the variables is strong and positive.
The equation of a straight line is given by y = mx + c. can easily make use of a regression line to ascertain the nature of the relationship between two variables as we can see in the graph shown in the question.
From the graph shown in the question, it is easy to ascertain that the association between the variables is strong and positive. The association is strong because the points lie together and positive because the plot increases linearly.
Learn more about association of variable: https://brainly.com/question/2426761
find the equation of circle whose centre is at (3,4) and passing through (1,5)
Answers
Answer:
Step-by-step explanation:
Answer:
[tex](x-3)^{2} + (y-4)^{2} = r^{2} \\\\(1-3)^{2} + (5-4)^{2} = r^{2}\\r^{2} = 5 \\so the equation is \\(x-3)^{2} + (y-4)^{2} = 5[/tex]
Step-by-step explanation:
PLEASE ANSWER ASAP Find the slope of the line
Answers
Answer:
4
Step-by-step explanation:
Slope is [tex]\frac{rise}{run}[/tex]. Or, in other words the distance it travels in the y direction divided by the distance it travels in the x direction. Each time the y variable increments +4 and the x variable increments +1. Which means the line rises 4 units every time it runs 1 unit.
Slope=[tex]\frac{rise}{run}=\frac{4}{1}=4[/tex]
Find the deposit required to accumulate $7700 after investing 3 years in an account that pays an APR of 5% compounded quarterly. How much is earned in interest?
Answers
Answer:
The deposit required is $6633.62 and the interest earned is $366.38
Step-by-step explanation:
Compound interest occurs when the interest earned is reinvested rather than paying it out. When it happens interest in the next period is then earned on the principal sum plus previously accumulated interest.
The formula is:
[tex]{\displaystyle A=P\left(1+{\frac {r}{n}}\right)^{nt}}[/tex]
Where:
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
It's given the final amount A=$7700 after t=3 years of investment in an account that pays an APR of r=5%=0.05. Since the interests compound quarterly and there are 4 quarters in a year, then n=4.
To find the principal P, we solve the previous equation for P as follows:
[tex]{\displaystyle P=A\left(1+{\frac {r}{n}}\right)^{-nt}}[/tex]
Substituting:
[tex]{\displaystyle P=7700\left(1+{\frac {0.05}{4}}\right)^{-4\cdot 3}}[/tex]
[tex]{\displaystyle P=7700\left(1+0.0125}\right)^{-12}}[/tex]
P=$6633.62
The interest earned is:
I = A - P = $7700 - $6633.62 = $366.38
The deposit required is $6633.62 and the interest earned is $366.38
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
What is the remainder?
–10
–7
7
10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.
Answers
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
what does the power of 10 Mean
Answers
Answer:
[tex]x^{10}[/tex]
Step-by-step explanation:
for example, if the variable x stands for 2, [tex]2^{10}[/tex] stands for 2*2*2*2*2*2*2*2*2*2
If three servings of ice cream has 24g of fat, how many milligrams of fat does one serving have?
Answers
Answer:
600
Step-by-step explanation:
24 by 3 times 100
The number of milligrams of fat that one serving has is 8000 milligrams.
Firstly, it should be noted that
1000mg = 1 gram.
Since three servings of ice cream has 24g of fat, therefore, the fa that will be contained in each will be:
= 24/3
= 8g
Therefore, we'll convert 8 grams to milligrams and this will be:
= 8 × 1000
= 8000 milligrams.
Therefore, a serving has 8000 milligrams.
Read related link on:
https://brainly.com/question/17662451
In San Diego, the weather was sunny 90% of the says this past June. How many days was it sunny
Answers
Answer:
27 days
Step-by-step explanation:
June has 30 days, So our equation looks like this:
30*0.9=27 days.
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Answers
Answer:
Y = x + 3
Step-by-step explanation:
The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.
Answer:
Y = x + 3
Step-by-step explanation:
The first equation has a slope of 1 so this new one must get the y intercept you must subtract 1 from both the x and the y. Then use the same slope.
What is the value of 3-(-2)? 25 -3 -2 -1 0 1 5 0 1 O 5
Answers
Answer:
5
Step-by-step explanation:
(because when two negative meets it gives u positive )
Minus one thousand ,eight hundred and five point nine six as a number
Answers
Answer:
-1805.96
Step-by-step explanation:
I think that is the answer
Answer:
-9805.96 this is the answer
Which is NOT the graph of a function?
Οε:
te
Answers
D
explanation:
Solve the inequality: 13 – n + 2n > 9
Answers
Answer:
n > -4
Step-by-step explanation:
1) Combine like terms.
13 + n > 9
2) Isolate n. (subtract 13 from both sides)
n > -4
Find the range of the following piecewise function. [27,3) (-22,3] (27,3] [-22,3)
Answers
Answer:
The answer is "(27,3]"
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\to f(-5) = (-5)^2 + 2 = 25 +2 =27\\\\\to f(7)= 7-4 = 3\\\\answer \ is = ( 27, 3]\[/tex]
Answer
(27,3]
Step-by-step explanation:
Correct In HW
write 13.28 as a fraction in the lowest term
Answers
Answer:
13 wholes and 7/25
Step-by-step explanation:
write 28 over 100 and just simplify but don't forget 13
the mass of a rock same is 25 g and its density is d5d/cm cubed. What is the volume of the rock?
Answers
Answer:
וודי מסיפור הצעצועים יזיין אותך בלילה
Step-by-step explanation:
30+3000??????????????????
Answers
Answer:
3030
Step-by-step explanation:
it is the right answer wen you add it up
Graph: f (x)=−2/3 x−3
Answers
Answer:
-2/3 x-3 graphed will look whit the line going down the negative side (bottom left) of the graph and also passing the (right bottom side of the graph) the points will be (0,-3)
Step-by-step explanation:
What are the different ways to write multiplication in math
Answers
Answer:
Different ways to write multiplication include:
3 times 5
3x5
(3)(5)
3(5)
(3)5
etc
Step-by-step explanation:
I hope this helps!
Answer: 3 x 5, 3 · 5, 3 * 5 , (3) (5), 3 (5), and (3) 5. Hope this helps.
Step-by-step explanation:
A company finds that on average, they use 43 minutes for each meeting. An employee sketches a graph to show the total amount of time in minutes, T, used for m meetings. The graph shows the value of T for 1 to 5 meetings. If the employee counts by 10's, what should be the largest value on the T-axis of his or her graph so that the scale is the most appropriate for the given information? Drag and drop the correct number into the box. Response area
Answers
Answer:
220 just took the test
Step-by-step explanation:
Answer:
your answer is 220 :)
7. Find the value of x and y:
x=
y=
(10x - 61)
(18y + 5)º
(x + 10)
Answers
Answer:
y = 8º
y = 8º
Step-by-step explanation:
Given:
(10x - 61)º
(18y + 5)º
(x + 10)º
Find:
x and y
Computation:
(10x - 61) + (x + 10) = 180
11x - 51 = 180
11x = 231
x = 21º
(10x - 61)º = (18y + 5)º [Vertical opposite angle]
10x - 61 = 18y + 5
10x - 18y = 66
5(21) - 9y = 33
y = 8º
If triangle ABC is equilateral, and side AC is 7m long, how long is side BC?
Answers
Answer:
7m
Step-by-step explanation:
In an equilateral triangle all the sides and angles are the same
brian earns 420 a daywotking at a convenience store. write an algebraic expression to represent the money hre in will earn in d days
Answers
Answer:
420d
Step-by-step explanation:
5 X 420= 2,100
We would do the same thing no matter how many days he works.
* remember that in an algebraic expression having a variable and a constant next to each other indicates that they are being multiplied.
So we can write that as
Money earned= 420d
Let f(x)=2x+7 and g(x)=3x2+2 Find f(g(3))
Answers
The answer is 65
I hope it will help
The required simplified solutions of the function f(g(3) ) = 65.
Given that,
f(x)=2x+7 and g(x)=3x2+2, To find f(g(3)).
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,
g(3) = 3[3]² + 2 = 29
f(g(3)) = 2 [29] + 7 = 65
Thus, the required simplified solutions of the function f(g(3) ) = 65.
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A car salesperson earns a 5.8% commission on every car sold. How much commission will the salesperson earn on the sale of a $28,400 car? *
Answers
Answer:
1647.20
Step-by-step explanation:
You do .58 times 28,400. Then you move the decimal place over 1 place to the left. Because it is already 5.8%
Someone please explain to me how I go about to find this answer. My daughter is having trouble and her algebra 1 teacher ia no help!!!!
Answers
Answer:
3/4
Step-by-step explanation:
do you need a deep explanation? or just a quick one?
Answer: the slope is 4/3
Explanation :
1) pick 2 points on the graph. I picked ( 30, 20) and (60,60)
2) to find m, we do rise over run. Y is the rise and x is the run.
3) subtract the y exponents from eachother over the x exponents.
4) Do this : 60-20/ 60-30 . After solving, you should get 4/3.
5) good luck
What is the inverse operations of the equation shown n+4=
Answers
Answer:
i aint never seen two pretty bestfriends
Step-by-step explanation:
Find the equation of this line in slope intercept form y-2=1/2(x+8)
Answers
Root-(-12,0)
Vertical intercept- (0,6)
What is the domain and range of y=2x+5
Answers
What is the average daily temperature for all ten years?
49.6
50.8
52.4
53.6
Answers
Answer:
51.6
Step-by-step explanation:
Add them together and divide by 4
Answer: it would be D. 53.6
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