Answer:
The equation of the line will be:
[tex]y\:=\:\frac{2}{5}x[/tex]Step-by-step explanation:
We know the slope-intercept of a line equation is
[tex]y = mx+b[/tex]
where m is the slope and b is the y-intercept
Given two points on a line graph
(0, 0)(25, 10)Finding the slope between two points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:0\right),\:\left(x_2,\:y_2\right)=\left(25,\:10\right)[/tex]
[tex]m=\frac{10-0}{25-0}[/tex]
[tex]m=\frac{2}{5}[/tex]
We know that the y-intercept on a line graph can be observed by setting x=0 and checking the corresponding value of y.
From the graph, it is clear
at x = 0, y = 0
Thus, the y-intercept = b = 0
Now, substituting b = 0, and m = 2/5 in the slope-intercept form
[tex]y = mx+b[/tex]
[tex]y\:=\:\frac{2}{5}x+0[/tex]
[tex]y\:=\:\frac{2}{5}x[/tex]
Therefore, the equation of the line will be:
[tex]y\:=\:\frac{2}{5}x[/tex]Can someone please help with writing this out as equation?
The student council has decided to sell t-shirts with a school logo to promote school spirit. Amanda investigated 1 company that would charge $75 to make the printing screen for the shirts, and then $5.50 per shirt. Adam checked out a 2nd company that would charge a straight $7 per shirt. Which company's option would respresent a proprtional relationship? You should support your answer with an equation, a table of values, or a graph.
Bob bought the 24 fish for $51.36. How much did each fish cost him? Show your calculation.
Answer:
2.14
Step-by-step explanation:
2.14x24=51.36
Identify the graph of the inequality 2(2x - 1) + 7 < 13 or -2x + 5 5–10.
-10
-5
0
5
10
+
5
O!
0
-10
5
10
-10
-5
0
5
10
DONE
Answer:
20
Step-by-step explanation:
good luck
Two of the side lengths of a triangle are 19 cm and 29 cm. If the third side
length is also an integer, what is the largest length it could be?
Answer:
47
Step-by-step explanation:
Please help me with 4-6 ASAP I will give 30 points
Answer:
i did that paper made 100 but i was looking for it to help u and when i got it i tripped with my enchaladas im tryna clean it to get the answers
Step-by-step explanation:
In triangle ABC, angle BAC = 90
Work out the size of angle DAC AND DCA?
Quick plz:)
Answer:
Easy man it 9999
Step-by-step explanation:
Find the sum. Write your answer as a decimal.
-5.74 + 5.5 =
Answer:
-0.24
Step-by-step explanation:
Math is math i just know it in my head i do nt know how tpo explain ita bag contains 3 red balls and 1 blue ball. what is the expected number of red balls in the first bag
Answer:
[tex]Expected\ Value = 3[/tex]
Step-by-step explanation:
Given
[tex]Red\ Balls = 3[/tex]
[tex]Blue\ Balls = 1[/tex]
Required
Determine the expected number of red balls
First, we calculate the probability of a red ball
[tex]P(Red\ Ball) = \frac{Red\ Ball}{Total}[/tex]
[tex]P(Red\ Ball) = \frac{3}{3 + 1}[/tex]
[tex]P(Red\ Ball) = \frac{3}{4}[/tex]
[tex]P(Red\ Ball) = 0.75[/tex]
The expected value is then calculated as:
[tex]Expected\ Value = P(Red\ Ball) * Total[/tex]
[tex]Expected\ Value = 0.75 * 4[/tex]
[tex]Expected\ Value = 3[/tex]
Carmen has taken out a loan for $800 to buy a car. She plans to pay back the loan at a rate of $40 per month. Ramona has borrowed $500 to buy a car, which she plans to pay back at a rate of $20 per month.
How long will it take Ramona to pay back her loan?
Answer:
It will take Ramona 25 months or 2 years and 1 month to pay back for the car.
please give answer please!!!!!!!!!!!!
All of them produce an angle of 90 degrees, therefore
90 degrees x 4 = 360 degrees
Find 4cos2a, if
[tex] \cos(a) = \frac{ \sqrt{3} }{2} [/tex]
If you mean to find 4 cos(2a), then recall the double angle identity for cosine:
cos(2x) = 2 cos²(x) - 1
so that
4 cos(2a) = 4 (2 cos²(x) - 1) = 4 (√3 - 1)
Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
100 miles in 2.5 hours
40 miles per hour
100
a. Yo
c.
25 miles per hour
1000
b. 250 miles per hour
d.
25
miles per hour
Please select the best answer from the choices provided
А
B
ОС
D
Answer:
c
Step-by-step explanation:
Answer:
A. 100 miles divide 2.5 hours = 40 miles per hour
Emily wants to determine the relationship between the number of people in a household (x) and the last 4 digits of their phone number(y) she selects 100 households in her town randomly and examined the data what is the best estimate of the correlation coefficient between x and y
Answer:
it should be -0.5
Step-by-step explanation:
a number, a variable, or a product of a number and one or more variables
Answer:
Polynomials
Step-by-step explanation:
In which quadrant does the point S(-3, -4) lie?
quadrant I
quadrant II
quadrant III
quadrant IV
It would be quadrant III
Answer:
Quadrant 3
Step-by-step explanation:
Quadrant 3: (-, -)
I NEED HELP ASAP IT IS DUE TODAY!!,
Lori needs a length of twine 8.5 meters long to mark a row in her garden. Andrew needs a length of twine 7.28 meters long for his row. They have one length of twine that measures 16.29 meters.
After they each take the lengths they need, how much twine will be left?
Answer:
.51 meters of twine
Step-by-step explanation:
add the numbers of twine they each need which is 15.78 then subtract the 16.29 they have minus the 15.78 they need now you have a left over .51 meters
The value 9 is 200% of what number?
Answer:
18
Step-by-step explanation:
If 100% is 9 then you need to multiply by 2 to get 200% which is 18.
Answer:
4.5
Step-by-step explanation:
To get from 200% to 100%, you have to divide by 2, so then do the same thing to 9.
9 divided by 2 is 4.5
i need help pls 1 - 8 thanks
Answer:
1. 0.5454
2. 8
3. 0.6785
4. 1.1428
5. 6
6. 1.5
7. 1.75
8. 1.6666
Step-by-step explanation:
calculator :)
The data was modeled with a linear best-fit function. What was the initial
purchase price?
X Y
4. 5,000
7. 6,875
9. 8,125
12. 10,000
A. $625
B. $2,500
C. $5,000
D. $5,625
Answer:
c
Step-by-step explanation:
Can someone help with this please?
Answer:
a) Function 1 has the greatest y-intercept
b) Only function 2 has a slope less than -2
c) Function 4 has the least steep slope
Answer:
1. Function 1
2. Function 2
3. Function 4
Step-by-step explanation:
y-intercept: Function 1: 4, Function 2: 1, Function 3: -5, Function 4: -2
- Function 1 has the highest y-intercept
slope less than -2: Function 1: 2, Function 2: -4, Function 3: 5, Function 4: -1
- Function 2 has a slope lower than -2
least steep graph: Function 1: steepness 2, Function 2: steepness 4, Function 3: steepness 5, Function 4: steepness 1
- Function 4 has the steepest graph
HEY YOU! can you help me ?❤️
3. Sam and Tim each have savings accounts. Every month they each put in some of their
earnings from mowing lawns. Use the tables to find the y-value of the solution to the
system shown.
х
1
2
3
4
f(x)
80
110
140
170
х
1
2
3
4
g(x)
100
120
140
160
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]
What is the type of correlation for the plot?
Which formula do we use to reflect over the y=x line
(x, y) → (y,x)
(x, y) → (-y, -x)
(x, y) = (-x, y)
(x, y) = (x, -y)
Answer:
the first one on the list because it said refect
A liter of water contains about 3.35•10^25 molecules. A certain river discharges about 2.8•10^8 litter of water every second. About how many molecules does the ...
Answer: [tex]9.38\times10^{33}[/tex]
Step-by-step explanation:
Given: Molecules in a liter of water = [tex]3.35\cdot10^{25}[/tex]
A certain river discharges about [tex]2.8\cdot10^8[/tex] liter of water every second.
Molecules in river = [tex]3.35\cdot10^{25}\times2.8\cdot10^8[/tex]
[tex]=3.35\cdot2.8\cdot10^{25}\cdot10^8\\\\= 9.38\times10^{25+8}\ \ \ \ [a^m\cdot a^n=a^{m+n}]\\\\= 9.38\times10^{33}[/tex]
Hence, there are [tex]9.38\times10^{33}[/tex] does the molecules in river per second.
$40 game; 30% off; 5% tax
Determine the equation of the line given by the graph.
A)y = -2/7x+2/5
B)y = -2/7x+5/2
C)y = -7/2x+2/5
D)y = -7/2x+5/2
Answer:
y=mx+c y= -2/7+5/2 if this is right can i get brainliest and if u need explanation just ask
Answer:
D. y = -7/2x+5/2
Step-by-step explanation:
The formula for the graph would be: y = mx + c where m is the slope and c is the y-intercept.
Based on the graph, you can see that the y-intercept is 5/2 (somewhere between 5 and 0) so A and C are out. Remaining are options B and C.
Now, the slope is either -2/7 or -7/2. We will have to calculate the slope then. I will be using the points (-1, 6) and (1, -1)
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-1-6}{1-(-1)}[/tex]
= [tex]\frac{-7}{2}[/tex]
= -[tex]\frac{7}{2}[/tex] (Same as option D)
Thus, the equation would have been: -[tex]\frac{7}{2}[/tex]x + [tex]\frac{5}{2}[/tex]
Is 500% of 9 less than 10, greater than 10 but less than 100, or greater than 100?
Each day Louders reads 30 pages
Answer:
woww
Step-by-step explanation:
Help quick!!!!!!!!!!!!