Answers
Answer:
Problem 1: y = 4x + 6
Problem 2: 48 soda bottles per minute
Step-by-step explanation:
Problem 1:
Equation of a line in slope-intercept form is given as y = mx + b.
Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.
Thus,
m = hourly fee = $4
b = initial deposit = $6
Substitute m = 4 and b = 6 into y = mx + b
Equation would be:
y = 4x + 6
Problem 2:
What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute
Using the two points (3, 144) and (8, 384),
Slope = ∆y/∆x = (384 - 144)/(8 - 3)
Slope = 240/5 = 48
Thus, the machine will make 48 bottles per minute
Related Questions
Tuition for one year at Tarleton University is about $14,500. McKenzie wants to attend this university and will save money each month for the next 4 years. Her father will give her $6300 for her first year of tuition, and she received a $3,000 Grant. What is the amount of money McKenzie must save per month to have enough money to pay for her first year of tuition?
Answers
Answer:
5200
Step-by-step explanation:
You know that she needs 14,500 for her first year
she has a total of 3000+6300 so far
To find out how much she needs just take the difference
14500-(3000+6300)=5200
please help will give brainliest
Answers
Answer:
I think it is C.
Step-by-step explanation:
Answer:
volume is length x width x height, the answer is 160 cubed feet.
Step-by-step explanation:
Length x width x height and bam, there is your answer
In a family of 6 children what is the probability there are exactly 4 girls?
Answers
Answer:
sonn 12 laalkznjsnl nalslaonhfj. alallkzhdbb nLaojahdnldl
factorise 49m²-84mn+36n² using the identity x²+(a+b)x+ab=(x+a)(x+b)
Answers
Answer:
(7m-6n)(7m-6n)Step-by-step explanation:
Given the expression 49m²-84mn+36n², this can also be written as;
49m²-84mn+36n²
= 7²m² - 84mn + 6²n²
= (7m)²-2*7m*6n+ (6n)²
= (7m-6n)²
= (7m-6n)(7m-6n)
Hence the expanded form is (7m-6n)(7m-6n)
If you chose to use substitution to solve this system what should your equation look
like?
y=5x-5
y= -4x+22
Answers
Step-by-step explanation:
y=5x-5
y= -4x+22
1- use y=5x-5 solve for y (here you don't really have to do anything)
This stays the same, Therefore y = 5x-5
2- you will substitute y=5x-5 for y in y= -4x+22. The problem should now look like this:
5x-5= -4x+22
Solving for xnow, with the equation above you will solve for x-
5x-5= -4x+22 (add 4x to both sides)
9x-5= 22 (add 5 to both sides)
9x=27 (divide by 9)
x=3
Solving for yNow that you Know that x=3 you can substitute x=3 for x in y=5x-5. The problem should look like this:
y= 5(3)-5
Now with the equation above you can solve for y
y= 5(3)-5 (multiply 5 by 3)
y= 15-5 (subtract)
y=10
Now you have your answers X=3 Y=10
i hope this helps!
The parking lot is 4 km wide. The area of the parking lot is 24 kilometers. What is length of the parking lot?
Answers
Reason: The area of a rectangle is length times width equals area so to find length from with in the area you divide area by height. 24/4=6
Answer:
6
Step-by-step explanation:
divide 4 and 24
The slope below the line is -1/7. Write a point-slope equation of the line using the coordinates on the labeled point.
Answers
Answer: y – 3 = –1/7(x – 3)
_______divisible by both 2 and 5
Answers
Step-by-step explanation:
____2__divisible by both 2 and 5
the graph of y=(1/3)x-1
Answers
Answer:
Step-by-step explanation:
help with 4 please thank you
Answers
Answer:
=3x^2+4
Step-by-step explanation:
Subtract 8 from 12.
3x^2+4
Please help me, i am honestly confused, its about 1am, and i rlly, rlly need help
Answers
y=2
There is no slope because the y value stays constant. When the table is graphed, it is a horizontal line at 2. I hope this helps!
12 1/2 − 9 1/4
This problem comes from subtract mixed numbers
5 3/4 - 2 5/12
7 1/5 - 3 7/10
11 2/3 - 8 1/2
Answers
12 1/2 = 2 * 12 + 1 = 25/2
9 1/4 = 4 * 9 + 1 = 37/4
Multiply 25/2 by 2/2 to have a common denominator:
25/2 * 2/2 = 50/4
50/4 - 37/4 = 13/4 or 4 1/3
Please help!! 10-15 much appreciated! :)
Answers
Answer:
Step-by-step explanation: sin β = [tex]\frac{oposite }{hypotenuse}[/tex] ; cos β = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
10) sin [tex]32^{0}[/tex] = [tex]\frac{x}{18}[/tex]
18 sin [tex]32^{0}[/tex] = x
18 (0.53) = x
x= 9.5 units
cos [tex]32^{0}[/tex] = [tex]\frac{y}{18}[/tex]
18 cos [tex]32^{0}[/tex] = y
y = 18 (0.85)
y = 15.3 units
You use the same strategy for the rest of the questions. Feel free to reach out if you have more questions.
Write the equation in slope intercept form of the line passing through the following points (0,5) and (-5, -1).
Answers
Answer:
y = 6/5x
Step-by-step explanation:
1. [tex]y = \frac{-1-5 }{-5-0}[/tex]
2. subtract the two number on the top of the fraction bar to get 6
3. do the same for the denominator to get 5
4. your final answer is [tex]\frac{6}{5}[/tex]
Simplify the expression ((x^3 * y^-3))^4/ 2x^1 * y^4
Answers
= (X^12 * Y^-12)/2x * y^4
Courtney is flying a kite and 125 ft of the string is let out. The angle of elevation between the kite and the ground is 48°. Find the approximate height of the kite.
Answers
Answer:
rrrrrrreeeeeeeeeee
Step-by-step explanation:
jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj
Ethan uses the function f(x) = 2x2 + 2x + 4 to track the temperature of a substance over 8 hours. You know that f(3) = 28 meaning that the temperature of the substance is 28°C when you plug in a 3 for x. What is the domain of Ethan’s function?
Answers
The domain of the function f(x) = 2x² + 2x + 4 is (-∞, ∞).
What is Quadratic equation?The polynomial equation whose highest degree is two is called a quadratic equation or sometimes just quadratics. It is expressed in the form of:
ax² + bx + c = 0
where x is the unknown variable and a, b and c are the constant terms.
You have the quadratic function
f(x) = 2x² + 2x + 4 ,
and remember that all quadratic functions are parabolas opening at point called the vertex.
Since you can plug any real number in our parabola here, its domain is all the real numbers, and this is true for all the quadratic functions of the form ax² + bx + c = 0.
Thus, in interval notation the domain of the function is (-∞, ∞).
Learn more about Quadratic Equation from;
https://brainly.com/question/2263981
#SPJ1
what is - 3/4 x (- 2/7) x 4/3? Explain your work
Answers
In the equation 5b = 45, b = 10
True or False
Answers
Answer:
False b=9
Step-by-step explanation:
In the equation 5b+45, b is equal to 9
The way we get this answer is by dividing each term by 5 and then simplifying
45/5
45/5=9
Hope this helps :)
If you know this please answer all fake answers will be reported thanks
Answers
Answer:
50.24 inches
Step-by-step explanation:
[tex]3.14 * 4^{2}[/tex]
3.14 * 16
= 50.24
Kimberly's family has a dinner bill of $56.95 and wants to leave a 15% tip for their server. How much will this family spend for the meal plus the tip? 50 points!
Answers
Answer:
This family spend for the meal plus the tip : $56.95 + $8.54 = $65.49
The tip = $56.95 x 15% =$8.54
Step-by-step explanation:
Tony made $208 for 13 hours of work. At the same rate, how many hours would he have ro work to make $144
Answers
Answer:
9 hours
Step-by-step explanation:
208 / 13 = $16 per hour
144 / 16 = 9 hours
Answer:
9 hours
Step-by-step explanation:
208 divided by 13 is 16. So then u take 16 and divide it by 144, and if you do long division you would get 9. Hopefully this helps
Suppose that y varies directly with x and inversely with z, and y = 6 when x = 8 and z = 4. Write the equation that models the relationship. Then find y when x = 2 and z = 3
Answers
Answer:
y=18
Step-by-step explanation:
explanation is in the attachment above
PLEASE HELP!! I’ve been stuck on this problem for a while!!!!!!!!!!
Answers
Answer:
What are the options?
Step-by-step explanation:
I'll do it once it the options
A soda costs $1.25 in a vending machine. A 12-pack of the same soda costs $3.49 at a grocery store. How much do you save by buying a dozen cans at the grocery store?
Answers
Answer:
you would save 11.51 dollars
Step-by-step explanation:
12 cans times the vending machine price of 1.25$= $15
15-3.49=11.51
Are heart rate and age proportional or non proportional for each method
Answers
Answer:
Yes
Step-by-step explanation:
For example
Doctors have two methods of calculating maximum heart rate. With the first method, maximum heart rate, y, in beats per minute is y=220−x, where x is the person’s age.
Question: The table shows pairs of random digits. The pairs in each group simulate the 5 shots taken by the opponent.
The paired digits 00 to 99 represent 100 shots.
Let 00 to 72 = a shot that is saved. Which digits represent a goal scored? Explain.
Answers
Answer:
ANSWER
Step-by-step explanation:
Which would be an equivalent way to write y= 2 - 3x ?
a) y= -3x - 2
b) y= -3x + 2
c) y= 3x - 2
d) y= 3x + 2
Answers
i really need help please help me
Answers
Answer:
5.667 yards of fabric was used to make a cape
Step-by-step explanation:
(Total Yard of Fabric)1/3 = (What's Used)
Total Yard Fabric = 17
What's Used = x
1 third = 1/3
(17)1/3 = x
x = 17/3 or about 5.667 yards of fabric used
Double Check:
5.667/17 = 0.3334 which is about 1/3
If you want to find how much he has left:
1 - 1/3 = 2/3
17(2/3) = x
x = 34/3 or about 11.333 yards of fabric left.
Double Check:
11.333/17 = 0.6666 which is about 2/3
What is the sum of all exterior angles in a polygon?
