Answers
First one : y=1/3x+4.32
Second one: y=3x-2
Explanation: try Desmos. its a magical machine
Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (- 1, 4)
m = [tex]\frac{4-6}{-1-5}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex] , then
y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 1, 4 ) , then
4 = - [tex]\frac{1}{3}[/tex] + c ⇒ c = [tex]\frac{12}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]
y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of line
-----------------------------------------------------------------------
The equation of a line in point- slope form is
y - b = m(x - a)
m is the slope and (a, b) a point on the line
Here m = 3 and (a, b) = (- 2, 0 ) , then
y - 0 = 3(x - (- 2) ) , that is
y = 3(x + 2)
y = 3x + 6 ← equation of line
Related Questions
What does point H represent?
Answers
Answer:
C
Step-by-step explanation:
A waitress earned $73 for 6 hours of work. The total included $46 in tips. What was her hourly wage?
Answers
Answer: $4.5/hour
Step-by-step explanation:
Total earned in 6 hours subtracted tips equals wage over 6 hours.
Divide by 6 hours to find individual hourly wage.
Answer: $4.50 per hour
Step-by-step explanation:
First, find how much she earned, excluding the tips.
73-46= 27
She earned $27 in the 6 hours, without tips
To find her hourly wage, you divide 27 by six because, since she worked 6 hours to earn $27, we need to find the unit rate.
27/6 = 4 dollars 50 cents.
A map is drawn to a scale of 1 : 240 000.
(i) If a seawater lake has an area of 3.8 cm² on the map, find its actual area in square kilometres.
(ii) If the actual area of a plot of land is 2 908 800 m², calculate its area on the map.
Answers
Step-by-step explanation:
Above are the explanations
A map is drawn on a scale of 1: 240 000.
(i) Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
(ii) Area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
How to estimate the area on the map?(i) 1 cm: 240000 cm = 1 cm: 2.4km
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2.4^{2} \mathrm{~km}^{2}$[/tex]
[tex]$=1 \mathrm{cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$1 \mathrm{~cm}^{2}: 5.76 \mathrm{~km}^{2}$[/tex]
[tex]$3.8 \mathrm{~cm}^{2}: 21.888 \mathrm{~km}^{2}$[/tex]
Actual area [tex]$=21.888 \mathrm{~km}^{2}$[/tex]
[tex]$=21.9 \mathrm{~km}^{2}[/tex]
(ii) 1 cm: 240000 cm = 1 cm: 2400 m
Area scale [tex]$=1^{2} \mathrm{~cm}^{2}: 2400^{2} \mathrm{~m}^{2}$[/tex]
[tex]$=1 \mathrm{~cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$1cm}^{2}: 5760000 \mathrm{~m}^{2}$[/tex]
[tex]$0.505 \mathrm{~cm}^{2} ; 2108800 \mathrm{~m}^{2}$[/tex]
The area on the map = [tex]$0.505 \mathrm{~cm}^{2}$[/tex].
To learn more about the area on the map
https://brainly.com/question/24103758
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Meg plotted the graph below to show the relationship between the temperature of her city and the number of people at a swimming pool:
Part A: In your own words, describe the relationship between the temperature of the city and the number of people at the swimming pool. (5 points)
Part B: Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate slope and y-intercept. (5 points)
Answers
Answer:
Generally, the higher the temperature, the larger the population.
Step-by-step explanation:
The line goes from left to right, and from down to up, so we can see that the temperature affects the population at the pool.
Solve the word problem in the picture attached
Answers
Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3
Answers
Answer: um
Step-by-step explanation:
can anyone please help me?
Answers
Answer:
x = 1.4 or -1.4
Step-by-step explanation:
→ Substitute y = 4 into y = x² + 2
4 = x² + 2
→ Minus 2 from both sides
2 = x²
→ Square root both sides
√2 = x
→ Simplify
x = 1.4 or -1.4
The arc length of the shaded part of the circle is 5 pi inches. What is the circumference of the entire circle? Express the answer in terms of Pi. A circle. The shaded sector has an angle measure of 45 degrees. Recall the formula StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction. 10 pi inches 15 pi inches 40 pi inches 45 pi inches
Answers
Answer:
Can we have a picture please? That would help a lot! Thanks!~
Step-by-step explanation:
20 POINTS!!
A. Make an organized list to represent the sample space of tossing a coin and picking a number between 1 and 5, inclusive. [Hint: Inclusive means that 1 and 5 may be picked.]
B. In your list from A, which are favorable outcomes of the following event: choosing an odd number?
Answers
Answer:
A. 3 (1,2,3,4,5) B 60%
Step-by-step explanation:
Answer:
a) {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T} b) 1H,3H,5H,1T,3T,5T
Step-by-step explanation:
a)
sample space is basically all possible outcomes in a list so {1H,2H,3H,4H,5H,1T,2T,3T,4T,5T}
b)
favorable outcomes of choosing an odd number are the outcomes with odd numbers so 1H,3H,5H,1T,3T,5T
Question 14 (1 point)
A local bakery called "Becky's Bakery" makes 100 batches of cookies in 8 hours. If they keep up this
pace, how many batches of cookies would they make in 12
hours
Answers
Answer:
150 = x
Step-by-step explanation:
We can use a ratio to solve
100 batches x batches
------------------- = ---------------------
8 hours 12 hours
Using cross products
100 * 12 = 8x
1200 = 8x
Divide by 8
1200/8 = 8x/8
150 = x
Answer:
150
Step-by-step explanation:
Find how many batches in one hour
100/8 = 12.5
Multiply 12 hours with 12.5 batches
12 x 12.5 = 150
So, in 12 hours 150 batches are made.
A cylinder has a radius of 14 inches and a height of 10 inches. A rectangular prism has
square bases with side lengths of 8 inches. The two figures have the same surface
area. What is the approximate height of the rectangular prism?
Answers
Answer:
61.973
Step-by-step explanation:
let the unknow side be x
surf of prism = 2*(8*8+8x+8x) = 2*(64+16x) = 128+ 32x
again, surface of cylinder = 2pi*r*(r+h) = 2 * pi * 14 * (14+10) = 672pi
now solve for x, when
128+32x = 672pi
I really need help with this question please!
Answers
Answer:
y = -2x+7
Step-by-step explanation:
The slope intercept form of an equation is
y = mx+b where m is the slope and b is the y intercept
y = -2x +b
Substitute the point into the equation and solve for b
5 = -2(1)+b
5 = -2+b
Add 2 to each side
5+2 = -2+b+2
7=b
y = -2x+7
There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library?
Answers
Answer:
7.1
Step-by-step explanation:
6 children with an average age of 5 = 6*5 = 30 so the sum of their ages is 30
20 - 6 = 14
14 children have an average age of 8 14*8 =112 so the sum of their ages is 112
Add the two sums
30+112 = 142
Divide by the total number of children
142/20 =7.1
The average age of all the 20 children is 7.1
Answer: 7.1
Step-by-step explanation:
Solve the equation -10(g - 6) = 65.
Answers
Answer:
g = -1/2
Step-by-step explanation:
-10(g - 6) = 65
Distribute
-10g +60 = 65
Subtract 60 from each side
-10g+60-60 = 65-60
-10g = 5
Divide by -10
-10g/-10 = 5/-10
g = -1/2
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{-10(g - 6) = 65}\\\\\rightarrow\large\textsf{-10g + 60 = 65}\\\\\large\text{SUBTRACT 60 to BOTH SIDES}\\\\\large\textsf{-10g + 60 - 60 = 65 - 60}\\\\\large\text{CANCEL out: 60 - 60 because that gives you 0}\\\\\large\text{KEEP: 65 - 60 because that helps you solve for your g-value}\\\\\large\textsf{65 - 60 = \bf 5}\\\\\large\text{DIVIDE -10 to BOTH SIDES}\\\\\mathsf{\dfrac{-10g}{-10}=\dfrac{5}{-10}}\\\\\large\text{CANCEL out:: }\mathsf{\dfrac{-10}{-10}}\large\text{ because that gives you 1}[/tex]
[tex]\large\text{KEEP: }\mathsf{\dfrac{5}{-10}}\large\text{ because that gives you the g-value answer}\\\\\large\textsf{g = }\mathsf{\dfrac{5}{-10}}\\\\\large\textsf{g =}\mathsf{\dfrac{5\div5}{-10\div5}}\\\\\large\textsf{g = }\mathsf{\bf - \dfrac{1}{2}}\\\\\\\\\boxed{\boxed{\large\textsf{Therefore, your answer is: g = }\mathsf{- \bf \dfrac{1}{2}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}\\\\\\\\\\\frak{Amphitrite1040:)}[/tex]
Integrate the following. ∫[tex]5x^{4} dx[/tex]
Option A: [tex]x^{5}[/tex]
Option B: [tex]5x^{5} +C[/tex]
Option C:[tex]5x^{5}[/tex]
Option D: [tex]x^{5} + C[/tex]
Answers
Answer:
[tex] \displaystyle D) {x}^{5} + \rm C[/tex]
Step-by-step explanation:
we would like to integrate the following Integral:
[tex] \displaystyle \int 5 {x}^{4} \, dx [/tex]
well, to get the constant we can consider the following Integration rule:
[tex] \displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx[/tex]
therefore,
[tex] \displaystyle 5\int {x}^{4} \, dx [/tex]
recall exponent integration rule:
[tex] \displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1} [/tex]
so let,
[tex]n = 4[/tex]Thus integrate:
[tex] \displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)[/tex]
simplify addition:
[tex] \displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)[/tex]
reduce fraction:
[tex] \displaystyle = {x}^{5} [/tex]
finally we of course have to add the constant of integration:
[tex] \displaystyle \boxed{ {x}^{5} + \rm C}[/tex]
hence,
our answer is D)
What is the formula for finding the volume of a cube?
2x*x
E^3
2*x=3x(3+4)
Answers
[tex]\sf \: The \: formula \: for \: finding \: the \: volume \: of \: a \: cube \: is \hookrightarrow \boxed{ \underline{ \bf{E}^{3} }} \\ \\ \sf \: The \: volume \: of \: the \: cube \: can \: be \: found \: by \: \\ \sf \: multiplying \: the \: edge \: length \: three \: times. \: For \: instance, \: \\ \sf \: if \: the \: length \: of \: an \: edge \: of \: a \: cube \: is \: \bf \: 4, \: \sf t he \: volume \\ \sf \: will \: be \longrightarrow \bf{4}^{3}. [/tex]
1) Terrance brought chocolates to school on Monday. Each day after Monday, he gave half of his chocolate pile away. On Friday, he had 3 chocolates left. How many chocolates did he start with on Monday?
36 chocolates
100 chocolates
48 chocolates
64 chocolates
Answers
Answer:
48 Chocolates
Step-by-step explanation:
Monday: 48
Tuesday: 24
Wednesday: 12
Thursday: 6
Friday: 3
Please whoever knows they can solve this, help me!
I have attached the questions down below. Please add diagrams if the questions permit you to do so. I will be marking the brainiest. Thanks.
ANYONE??
Answers
Write the equation (in point-slope form) for the line parallel to y = x + 4 and passes
through (5, -2).
Answers
Answer:
[tex]y = x-7[/tex]
Step-by-step explanation:
Step 1: Write the equation in point-slope form
Point Slope Form: [tex]y-y_{1}=m\left(x-x_{1}\right)[/tex]
Plug in the numbers and solve
[tex]y - (-2) = 1(x - 5)[/tex]
[tex]y + 2 = x - 5[/tex]
[tex]y + 2 - 2 = x - 5 - 2[/tex]
[tex]y = x-7[/tex]
Answer: [tex]y = x-7[/tex]
100 POINTS
My neighborhood is full of one-way streets. To drive from my house to the grocery store, I have to go 1 block south, then 1 block east, then 5 blocks north, then 2 blocks east. Each block is 1/16 of a mile. How much shorter would my trip be if I could fly like a bird (that is, travel in a straight line)?
I FOUND THE distance for non bird which is 9/16. I wanna apply the pythagoreum theorum and draw a straight line to make it a triangle so I can do so but don't know where to place it
Answers
Answer:
1/4
Step-by-step explanation:
1 block south from here puts you at (0, -1/16)
1 block east from here now puts you at (1/16, -1/16)
5 blocks north from here puts you at (1/16, 4/16)
2 blocks east from here puts you at (3/16, 4/16)
You have traveled (1/16) ( 1 + 1 + 5 + 2) = 9 / 16 of a mile
The "straightline" distance between (0, 0) and (3/16, 4/16) =
sqrt [ (3/16^2 + (4/16)^2 ] = sqrt [ 25 / 256] = 5/16 of a mile
Your trip would be { 9/16 - 5/16 } equals 4/16 and simplifies equals 1/4 of a mile.
Goodluck and I hope this helped!
Please Help Will Give Points
Answers
Answer:
2
Step-by-step explanation:
The graphs of functions f(x) and g(x) = f(x) + k are shown below
what is the value of k?
Answers
Answer:
k = 2
Step-by-step explanation:
f(x) and g(x) = f(x) + k
G(x) is the function f(x) moved up k units
G(x) is moved up 2 units so k is 2
Answer:
The answer is k = 2. The value of k is 2.
Step-by-step explanation:
I hope this answers your question :) Have a great day :)
graph a line with the slope of -5 and the y intercept of 4
PLEZZ HELP!!!!!!!!!!!!!!!!
Answers
Answer:
Slope m = -5
y intercept = 4
so the equation of the line is,
y = -5x+4
Plot two points, (0,4) and (1,-1)
then connect them, I've attached a graph, your graph should look like that
Answered by GAUTHMATH
Answer:
y=-5x+4
Step-by-step explanation:
y=mx+b
the slope is m
the y intercept is b
-5/1= one right and down 5
4 is the starting point on the y-axis (the vertical one)
Candy counted to 600 by 6's, beginning with 6. Danny counted to 600 by 4's beginning with 4. How many the numbers that candy counted were also counted by Danny?
Answers
Step-by-step explanation:
If we count for both numbers up to 36, we start seeing a pattern...
Candy: 6 12 18 24 30 36
Danny: 4 8 12 16 20 24 28 32 36
Every other number in Candy's counting is also counted by Danny. So here's what we'll do:
Divide 600 by 6600/6 = 100
This is how many numbers Candy counted overall.
Divide the result by 2.100/2 = 50
This is how many numbers Danny counted that were also numbers Candy counted.
Answer:
50 of the numbers that candy counted were also counted by Danny.
Answer:
50
Step-by-step explanation:
Greshak Corp. reports the following revenues:
2015 $10,000,000
2016 $11,250,000
2017 $12,500,000
2018 $13,500,000
2019 $12,750,000
2020 $12,900,000
What was Greshak’s compound annual growth rate (CAGR) in revenues over the 6-year period 2015 through 2020?
Answers
Answer
around 10%
Step-by-step explanation:
perioh pooh
hope it right
There is a blueprint for a house that is a scale drawing for the entire house. One part of the house has a triangular base. The drawing of the width of the triangle is 4cm and the length is 6cm. If the width of
Answers
Please answer this question with any of the 4 choices i have been struggling with this
Answers
Answer:
Choice A. [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Turn the mixed numbers into improper fractions:
[tex]\frac{14}{9} /\frac{7}{3}[/tex]Flip the second term and multiply:
[tex]\frac{14}{9} /\frac{3}{7}[/tex][tex]\frac{42}{63}[/tex]Simplify:
[tex]\frac{2}{3}[/tex]Answer:
A
Step-by-step explanation:
math problem i will give brainliest
Answers
Answer:
19.5
Step-by-step explanation:
Please help me with this question. will give brainliest I need this by today pleaseeeeeee its an assignment
Answers
Answer:
i would say 7
Step-by-step explanation:
Click on pictures for question and graph
