Answers
Answer:
We kindly invite you to see the image attached for further details.
Step-by-step explanation:
From Analytical Geometry we get that linear functions can be found after knowing a point and its slope. The standard form of a linear function is represented by the following formula:
[tex]y =m\cdot x +b[/tex] (Eq. 1)
Where:
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]m[/tex] - Slope, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
At first we need to calculate the y-Intercept, which is cleared within (Eq. 1):
[tex]b = y-m\cdot x[/tex]
If we know that [tex]y = 1[/tex], [tex]x = 2[/tex] and [tex]m = \frac{5}{3}[/tex], then the y-Intercept of the linear function is:
[tex]b = 1-\left(\frac{5}{3} \right)\cdot (2)[/tex]
[tex]b = -\frac{7}{3}[/tex]
Line with a slope of [tex]\frac{5}{3}[/tex] that goes through the point (2, 1) is represented by [tex]y = \frac{5}{3}\cdot x -\frac{7}{3}[/tex].
Lastly, we graph the line by using a plotting software (i.e. Desmos), whose result is included below as attachment.
Related Questions
A deluxe bakery sells a cookie for $2.38, a brownie for $3.07 and a cake for $14.87. On Wednesday they sold 13 cookies, 4 brownies and 4 cakes. The cost in ingredients for each cookie is $1.7, for each brownie is $1.91 and for each cake is $5.83. How much profit did they make on Wednesday?
Answers
Answer:
$ 49.64
Step-by-step explanation:
Selling price of cookie on Wednesday = 13 × 2.38 = $30.94
Selling price for brownie on Wednesday = 4 × 3.07 = $ 12.28
Selling price for cakes on Wednesday = 4 × 14.87 = $ 59.48
Cost price for cookie = 13 × 1.7 = $ 22.1
Cost price for brownie = 4 × 1.91 = $ 7.64
Cost price for cakes = 4 × 5.83 =$ 23.32
Total profit for Wednesday= Total selling price - total cost price
That is;
(30.94 + 12.28 + 59.48) - (22.1 + 7.64 +23.32) = $ 49.64
the sum of two numbers is -18. if the first number is 10 which equation represents this situation and what is the second number?
Answers
10+ -28= -18
Is this associative property? Distributive? Or something else?
Answers
Answer: Commutative Property
The Commutative Property states that any multiplication or addition equation flipped around will have the same value. For example:
[tex]3 + 8 = 8 + 3[/tex]
Hope this helps you!
Pls help
Solve 2/3x- 1/5>1
Answers
Answer:
x > 9/5
Step-by-step explanation:
Step 1: Write inequality
2/3x - 1/5 > 1
Step 2: Solve for x
Add 1/5 to both sides: 2/3x > 6/5Divide both sides by 2/3: x > 9/5Here we see that any x value greater than 9/5 will work.
answerrrr please . thanks xoxo
y-2>11
Answers
Answer:
y >13
Step-by-step explanation:
y - 2 > 11
solve like how you would solve an equation, with inverse operations
y -2 > 11
+2 +2
y > 13
Answer:
it shoud just be y>13
Step-by-step explanation:
bc you add 2 to each side which cancels the -2 on the left and makes the 11 on the right 13
A) 3(a+7) + 4 over a + 2
B) 3(a+2) +4 over a + 2
C) 3(f(a)+5)+4 over f (a) + 2
Answers
Answer:
b
Step-by-step explanation:
I think it is b because none of the others
Because of the plus 2
HELP ME PLEASE!!!!!!!!!
Answers
Find the measure of the missing angles.
b
103
b=
C=
Answers
Answer: both b and c equal 77 degrees
Step-by-step explanation:
103+103=206
360-206=154
154/2=77
Elisa is practicing her clarinet. She plays 1/8 of a song in 1/2 minute. At this
rate, she will play a whole song in how many minutes?
Answers
1/8 2/8 3/8 4/8 5/8 6/8 7/8 8/8
1/2 1 1/2 1 1/2 1. 1/2 1
4Minutes
The temperature in Coldspot is -7o F and increasing 2.5o per hour. The temperature in Frostberg is 19 degrees F and decreasing 4 degrees per hour.
a. How long will it be until the temperatures are the same?
b. What will the temperature be then?
Answers
Answer:
It will take 4 hours for the temperatures to be the same. The temperature will be 3° at that time.
Step-by-step explanation:
Coldspot = -7 + 2.5x
Frostberg = 19 - 4x
First, we are going to input our values into the variable in a table.
Coldspot Frostberg
1 -7 + 2.5(1) = -4.5 19 - 4(1) = 15
2 -7 + 2.5(2) = -2 19 - 4(2) = 11
3 -7 + 2.5(3) = 0.5 19 - 4(3) = 7
4 -7 + 2.5(4) = 3 19 - 4(4) = 3
It will take 4 hours for the temperatures to be the same. The temperature will be 3° at that time.
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
4 hours
Step-by-step explanation:
what is the approximate volume of the cone? use 3.14 for p? help immediately
Answers
Answer:
V=157
Step-by-step explanation:
Formula-
V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]
1.) Place height and radius in the formula.
V=π[tex]5^{2}[/tex][tex]\frac{6}{3}[/tex]
2.) Now all you have to do is simplify.
V=3.14 x 25 x 2
3.) Now solve.
V=157.07963
Answer:
I say 157 cubic centimeters
Step-by-step explanation:
If you deposit $5000 at the end of each year for 30 years using an annual interest rate of 9% compounded annually, how much money will you have after 30 years?
Answers
5000(0.09) x 30 = 13,500
5000 x 30 = 150,000
Altogether 163,500
Would the answer to this be 6 or 4?
Answers
Answer:
6 or -1
Step-by-step explanation:
6=a^2-5a
=a^2-5a-6
(a-6)(a+1)
a=6, -1
Charlotte is working two summer jobs, making $18 per hour lifeguarding and making $6 per hour walking dogs. In a given week, she can work at most 15 total hours and must earn a minimum of $150. If Charlotte worked 5 hours walking dogs, determine the minimum number of whole hours lifeguarding that she must work to meet her requirements. If there are no possible solutions, submit an empty answer.
Answers
Answer:
the answer is 6.6 or at estimation 7Answer:7
Step-by-step explanation:
Marco has saved $279 for karate lessons. He bought a uniform for $56 and pays $14 per class. Which inequality represents the number of classes, c, Marco can take and stay within his budget
Answers
Answer:
B.
Step-by-step explanation:
Since the main goal for Marco is to stay under his budget which is 279, it's expected that he would want to spend less than or equal to his budget and that is the point to spend less than our goal of spending limit. If the cost of uniform and the cost of each of his classes are less than how much money he wants to spend, than that is going to still be within his budget even if the equation equals to 279 it is still within his budget anything greater would be consider over spending past his budget. Therefore making all other equations false.
Mrs. Santos is buying binders for the students in her class. She determined that 15 binders would cost $22.50.
Answers
What is the question?
Price for one binder: 1.5
Jeremy is saving $250 per month for his vacation . How much will Jeremy save up for his vacation in 1 year and 6 months?
Answers
Answer:
The expression shows the number of dollars he will have saved by the end of the year is given by 35(7)+40(5)=\$44535(7)+40(5)=$445
Step-by-step explanation:
Since we have given that
Amount he saved per month over the first 7 months = $35
Amount he saved per month over the next 5 months = $40
So, total saving by the end of the year is given by
\begin{gathered}35\times 7+40\times 5\\\\=\$245+\$200\\\\=\$445\end{gathered}
35×7+40×5
=$245+$200
=$445
Hence, the expression shows the number of dollars he will have saved by the end of the year is given by
35(7)+40(5)=\$44535(7)+40(5)=$445
Elisha is paid $280 a week plus commission of $15 per sale. This week, she 2oints wants to earn at least $635. Which inequality represents this inequality??
Answers
Answer:
$280 + $15x ≥ $635
Step-by-step explanation
weekly pay (280) + commision per sale (15x) ≥ goal (635)
how do I find angle k?
Answers
Answer:
I believe (not confident) You take 180-28 and divide that by 2. (76 degrees)
We know that the top angle of the triangle is 28 degrees because vertical angles are congruent.
Step-by-step explanation:
Answer:
i think ?? CORRECT ME IF IM WRONG -check my user
Step-by-step explanation:
do an opposite angle to get the top of the left triangle so it will be 28
180-28=152
152÷2=76 (because its an isosceles)
a counselor charges a client $110 for 4 hours of therapy. how much does the counselor earn per hour
Answers
A. It has reflectional symmetry with one line of symmetry.
B. It has rotational symmetry with an angle of rotation of 120°.
C. It has no reflectional symmetry.
D. It has rotational symmetry with an angle of rotation of 60°.
NEED HELP!
Answers
EMERGENCY! PLEASE ANSWER ASAP!
Answers
Answer:
Its the second one
Step-by-step explanation:
find the value of x so that f(x)=7.
Answers
find the value of x so that f(x)=7
The answer is:
x = 5
The value of x such that f(x) = 7 is 5.
What is Function?A function is a relation from a set A to a set B where the elements in set A only maps to one and only one image in set B. No elements in set A has more than one image in set B.
Given a graph of a function f(x).
The graph is a straight line where there is a unique value of y for each value of x.
We have to calculate the value of x when y = 7.
Taking the y coordinate to 7, the x coordinate corresponding to the y coordinate is 5.
Hence the value of x is 5.
To learn more about Functions, click on the link :
https://brainly.com/question/12431044
#SPJ2
Which numbers are divisible by 5?
1: 124, 333, 315, 266, 391
2: 135, 205, 330, 275, 365
3:135, 211, 330, 274, 252
4:232, 250, 365, 225, 210
Answers
Answer:
2. 134, 205, 330, 275, 365
Step-by-step explanation:
All number ending in 0 or 5 can be divisible by 5, besides 0, obviously. So, looking at the options, we can rule out 1, 3 and 4, leaving 2.
Hope this helps :)
Drag the tiles to the correct boxes to complete the pairs. Match each division problem to its quotient. Tiles -34 ÷ 4.25 20 ÷ -4 -30 ÷ -6 33.6 ÷ 4.2 Pairs: 5 8 -5 -8
Answers
Answer:
Step-by-step explanation:
5= -33÷-6
8= 33.6÷4.2
-5= 20÷-4
-7= -34÷4.25
PLEEEEEEEEEEEEEEEASE HELP ME WITH THIS! IT IS DUE TOMORROW!!!
Answers
Answer:
lines a and b would be parallel, and the reason is <3 and <6 are alternate interior angles
Step-by-step explanation:
The sluggers go out for pizza after a game. Seven large pizzas plus two medium pizzas together have 100 slices. Five large pizzas plus six medium pizzas have 108 slices. How many slices are in each size?
Answers
Answer:
Large pizzas= 12 Medium= 8
Step-by-step explanation:
if you 12 by 5 and 8 by 6 and add them together you get 108
solveeee pleaseeee . thanks xoxo
t-4>-7
Answers
Answer:
t>-3 is the answer. hope this helped!
Step-by-step explanation:
Its simple you add 4 to both sides. t-4+4 > -7+4= t > -3
There are two twins. One twin wants to explore the planet near Proxima Centauri and leaves on a spaceship traveling at 90% of the speed of light, while the other twin stays home on Earth. How much does the twin on Earth age while the other twin travels to Proxima Centauri?
Answers
Answer:
4.7 years
Step-by-step explanation:
Distance of planet from Earth = 1.3 parsec
We know that 1 parsec = 3.26 light years
And a light year is the distance traveled by light in time period of 1 year.
So, Distance of planet from Earth = 1.3 [tex]\times[/tex] 3.26 = 4.24 light years
Given that, the person travels at a speed equal to 90% of the light speed.
To travel to the planet from Earth, Light takes 4.24 years.
To travel the distance [tex]D[/tex], at a speed [tex]s[/tex] light takes time of 4.24 years.
To travel the distance [tex]D[/tex], at a speed [tex]0.90s[/tex], the person takes time:
[tex]\dfrac{4.24}{0.90} = \bold{4.7\ years}[/tex]
So, the twin on Earth ages by 4.7 years.
Answer:
4.7 years
Step-by-step explanation:
What does (+7)-(-3) equal
Answers
Answer:
10
Step-by-step explanation:
7−(−3)
=7−(−3)
=7+3
=10
Answer:
10
Step-by-step explanation: calculator