Answer:
See below.
Step-by-step explanation:
The y-intercept is the point where the line passes the y-axis. In this instance, that is at the point (0, 3).
The roots are the x-intercepts are the points where the line crosses the x-axis. In this instance, the roots are x = -3 and x = -1.
The turning point is the vertex of the equation. In this instance, the vertex is on the point (-2, -1).
Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h. Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Question:
A company produces boxes of DVDs at a rate of 52 boxes per hour they begin to produce boxes when they first opened for the day and after 3 hours have 400 boxes in stock.
- How many boxes were in stock when they opened?
- Write a linear model for the amount of boxes, b, as a function of the number of hours since they opened, h.
- Use your model to predict the number of boxes in stock at the end of an 8 hour shift.
Answer:
1. [tex]Initial = 244[/tex]
2. [tex]b = 244 + 52h[/tex]
3. 660 boxes
Step-by-step explanation:
Given
[tex]Rate = 52\ per\ hour[/tex]
[tex]Total\ boxes\ in\ 3\ hours = 400[/tex]
Solving (a): Initial Number of boxes
First, we calculate the number of boxes made in 3 hours
[tex]Boxes = Rate * Hours[/tex]
[tex]Boxes = 52 * 3[/tex]
[tex]Boxes = 156[/tex]
If they had 400 boxes at the 3rd hour.
Then, the number of boxes when they opened is:
[tex]Initial = 400 - 156[/tex]
[tex]Initial = 244[/tex]
Solving (b): Linear function
[tex]b = boxes[/tex]
[tex]h = hours[/tex]
Since, we have the rate and the initial number of boxes.
The linear function is:
[tex]Boxes = Initial + Rate * Hours[/tex]
i.e.
[tex]b = 244 + 52 * h[/tex]
[tex]b = 244 + 52h[/tex]
Solving (c): Boxes at the end of the 8th hour
We have:
[tex]b = 244 + 52h[/tex]
In this case:
[tex]h = 8[/tex]
Substitute 8 for h
[tex]b = 244 + 52 * 8[/tex]
[tex]b = 244 + 416[/tex]
[tex]b = 660[/tex]
Hence, there are 660 boxes at the end of the 8th hour
3 (x-2)
4x + 8
3x
What’s the expression for the perimeter of the figures shown? (I NEED HELP ASAP)
Answer:
1.3x -6 => 3x = 6 => x = 2
2.4x = -8 => x= -2
3.3x => if 3x = 0 ..x is> 0 too
but if 3x= 1 ..x is 1/3
i h○pe it helps u ...:)
What is 10% of 10$ plz
Answer:
1 dollar
Step-by-step explanation:
Answer:
1 dollar
Step-by-step explanation:
Hope this helps!
Pls answer ASAP I will give brainliest answer
Answer:
34.328125
Step-by-step explanation:
Write the expression two-cubed times seven as a numerical expression
Answer:
2^3x7
your welcome
Answer:
23× 7
Step-by-step explanation:
have a wonderful day!!! :) :)
If there were 1,593 Ronald McDonald's in the McDonald's, how many could fit?
Answer:
over 1,593
Step-by-step explanation:
if there was already 1,593 Ronalds in the McDonalds the McDonalds can most likely fit over that amount
-49-X = -8x + 70
helppp
Answer:
x=17
Step-by-step explanation:Get everything to one side by using addition and subtraction and combine like terms. Once you have that set it equal to zero and put the b in Mx+b on the other side then divide it by m and you’ll have x
use elimination to solve the system of equations 9x-2y=30 and x-2y=14
Answer:
Step-by-step explanation:
9x - 2y = 30
x - 2y = 14
9x - 2y = 30
-x + 2y = -14
8x = 16
x = 2
2 - 2y = 14
-2y = 12
y = -6
(2, -6)
WILL GIVE BRAINLIEST PLS HELP
Chantal is planning to hike with some friends in the mountains. The trail map below shows the actual distance of their route from the beginning of the Blue Trail to the junction with the Red Trail, and from there to the top of Peak 1.
Chantal determined that the length of their route on the map measured 4 1/2 inches. Based on that length, what is the scale on the map?
Blue trail: 2.4 miles, Red trail: 1.6, Green trail: 1.8
A. 1 inch : 1 1/4 miles
B. 1 mile : 1 1/8 inches
C. 1 mile : 8/9 inch
D. 1 inch : 8/9 mile
Answer:
the answer is C
Step-by-step explanation:
Simplify:(-3x3)(-2x)
A. -5x15
B
6x15
–5x²
6x
Step-by-step explanation:
[tex]( - {3x}^{3} )( - {2x}^{5} ) = 6x {}^{3 + 5} = {6x}^{8} [/tex]
I need help on this one
Help asp please
Answer:
(-2, -4)
(-3, 5)
(4, -2)
Step-by-step explanation:
Have a wonderful day! :)
Paralell to the line y=3x + 5 and has a y-intercept of -1
Step-by-step explanation:
Everything the parallel lines has the same slope
[tex]y = mx + b[/tex]
m = slope
b = y intercept
then the equation of the line is:
[tex]y = 3x - 1[/tex]
Is either x=9 or x=15 a solution to x-3=12?
A. x= 9 is a solution, but x =15 is not
B. they are both solutions
C. x=15 is a solution, but x=9 is not
D. neither is a solution
Answer:
It's 15
c. x=15 is a solution but x=9 is not
Step-by-step explanation:
15-3=12
9-3=6
What is the Distance between 6+3i, 6-3i
2-8..........
ITS UR ANSWER!,✌✌
How much to the next whole number from 3 9/10 to 4?
Answer:
1/10
Step-by-step explanation:
Which operation can be used to solve for x? -3.2x = -4.8
Answer:
-3.2x=-4.8 ÷(-3.2)
x=1.5
Step-by-step explanation:
prove me wrong
which letters show the function rising?
A) A
B) E
C) A and E
D) A, B, and E
Answer:
c) a and e
Step-by-step explanation:
literally look at it b is just highest point, c is decreasing, d is lowest point... a is rising and e is also rising
Can someone please help me Please I'm desperate
Rob is 7 years older than James. Kate is 2 years younger than James. If the sum of their ages is 116, how old are each of the siblings?
Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Answer:
Rob = 44
Kate = 35
James = 37
Step-by-step explanation:
Rob = 44 which is 7 years older than James
Kate = 35 which is 2 years younger than James
James = 37
The balance, B, in dollars, after T years of an investment that earns interest compounded annually is given by the function B(t) = 1500(1.045)^t .To the nearest hundredth of a percent what is the monthly interest rate for the investment?
A) 4.50%
B) 3.67%
C) 0.37%
D) 69.59%
Answer:
0.37%
Step-by-step explanation:
0.045 ÷ 12 = 0.37%
Find the point of intersection for the two functions through substitution. Show
your work
f(x) = - 4x + 7
g(x) = 2x + 13
Your answer
Choose the correct description of the pattern below. Then find the next 3 number
4 6 9 13.5
Each number is 1.5 times the previous number
Each number is 2/3 of the next number
Each number is 3/2 of the previous number
Written as decimals the next 3 numbers are
PlS HELP!
50 points
There are 63 female performers in a dance recital. The ratio of men to women is 4:9. How many men are in the dance recital?
Answer:
28
Step-by-step explanation:
63/9=7
7*4=28
4 + √2 divided by 3 - 5√2
Answer:
-2.59966329107
Step-by-step explanation:
pls help due in 2 mins
Answer:
Good luck
Step-by-step explanation:
Answer:
272 is the correct answer
Step-by-step explanation:
I found the answer by multiplying 16 to 17 because 7 + 7 is 14 then add the 3 it is 17!
Hope this Helps! :)
There is 7/8 of the pretzel bag left. If one serving is 1/4 of the bag. How many servings are left? Use the model to answer the question.
Answer:
5/8
Step-by-step explanation:
PLEASE HELP PLEASE I REALLY NEED HELP JUST SAY LIKE ABC OR D AND PLEASE DO THE CORRECT ANSWER
Answer:
c
Step-by-step explanation:
Julio tested the point (4, –2) to see whether it is a solution to this system of equations.
–3x – 2y = –8,
y = 2x – 5
His work is shown below.
Negative 3 (4) minus 2 (negative 2) = negative 8. Negative 12 + 4 = negative 8. Negative 8 = negative 8. Therefore, (4, negative 2) is a solution to the system.
Did Julio verify the solution?
No. He substituted 4 and –2 for the wrong variables.
No. He did not check the point in the second equation.
No. He simplified the equation incorrectly.
Yes. He verified that (4, –2) is a solution to the system of equations.
Answer:
the answer is B on edge
Step-by-step explanation:
B. No. He did not check the point in the second equation
can i get brainly so i can rank up?
Answer:
Like I said B
Step-by-step explanation:
Which math expression means "the difference of 40 and 12"?
Answer:C
Step-by-step explanation:This is because c has subtract sign and you are trying to find the difference and difference you need to subtract.And you need to find the difference of 40 and 12 so u write 40- 12 which is choice c.
Hope it helps and it does please give Brainliest .Thanks ;)
PLS help its about Triangles Thank you!!!
What is the common factor of 26 and 38
Answer: The GCF is 2 and the LCF is 1
Step-by-step explanation: