Answer:
(-∞, ∞)
Step-by-step explanation:
As you can see for each value of x , f(x) is defined
example , for x = -8000 , f(x) is defined to be -7999.
for x = 0 , f(x) is defined to be 1.
for x = 8000 , f(x) is defined to be 8001.
Also,
By its graph , Which is a straight line , So, it is defined everywhere
Thus,
its domain is(-∞, ∞)
The values of the two numbers are 14 and 22 respectively.
Let the numbers be represented by x and y
Based on the information given, the equation to represent the information will be:
x + y = 36 ..... i
2x - y = 6....... ii
Add equation i and ii together
3x = 42
x = 42/3
x = 14
Since x + y = 36
Then, we'll put the value of x into the equation and this will be:
x + y = 36
14 + y = 36
y = 36 - 14
y = 22
Therefore, the values of x and y are 14 and 22 respectively.
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Explain why or why not.
Answer:
Step-by-step explanation:
No because the quadratic form is ax^2 + bx + c = 0. The equation, xº -5x + 6 = 0, is not in quadratic form because xº is not x^2, yet the rest of the equation follows the quadratic equation template.
Pop-A-Lot Pop Kornz Pop-arazzi Kernels Popcorn
Size 7 ounces 8 ounces 17 ounces 3 ounces
Cost $3.50 $4.25 $7.49 $2.09
Part A: Calculate the corresponding unit rate for each package.
Part B: Interpret what the unit rates found in Part A represent.
Part C: Choose which package is the best buy.
Data given:
➀ Pop-A-Lot: 7 ounces for $3.50
➁ Pop Kornz: 8 ounces for $4.25
➂ Pop-arazzi: 17 ounces for $7.49
➃ Kernels Popcorn: 3 ounces for $2.05
Explaination:
We divide the cost by the number the ounces to find the unit price. a.k.a the price per ounce.
Work:
➀ 3.50 ÷ 7 = 0.5
50 cents
➁ 4.25 ÷ 8 = 0.53125
53 cents (rounded)
➂ 7.49 ÷ 17 = 0.440588235
44 cents (rounded)
➃ 2.05 ÷ 3 = 0.683333333
68 cents (rounded)
Answer:
Part A:
➀ Pop-A-Lot: 50 cents per ounce of popcorn
➁ Pop Kornz: 53 cents per ounce of popcorn
➂ Pop-arazzi: 44 cents per ounce of popcorn
➃ Kernels Popcorn: 68 cents per ounce of popcorn
Part B: The unit rates found in Part A represent the cost per each ounce of popcorn
Part C: The best package to buy is Pop-arazzi because it cost less per-pound of popcorn. (44 cents per ounce of popcorn)
44¢ < 50¢ < 53¢ < 68¢
➂ < ➀ < ➁ < ➃
Pop-arazzi < Pop-A-Lot < Pop Kornz < Kernels Popcorn
Answer:
PART A
Unit Rate for Pop-A-Lot Pop Kornz = $7.44 / 6 ounces
Unit Rate for Pop-arazzi Kernels Popcorn = $4.32 / 8 ounces
Unit Rate for Pop Kornz = $6.27 / 11 ounces
Calculating these unit rates:
Unit Rate for Pop-A-Lot Pop Kornz ≈ $1.24 per ounce
Unit Rate for Pop-arazzi Kernels Popcorn ≈ $0.54 per ounce
Unit Rate for Pop Kornz ≈ $0.57 per ounce
PART B
Brepresent the cost per ounce of each package. It shows how much you would need to pay for each ounce of popcorn in each specific package.
PART C
To determine the best buy, we compare the unit rates.
Pop-A-Lot Pop Kornz: $1.24 per ounce
Pop-arazzi Kernels Popcorn: $0.54 per ounce
Pop Kornz: $0.57 per ounce
Based on the unit rates, the best buy would be Pop-arazzi Kernels Popcorn, as it has the lowest unit rate of $0.54 per ounce.
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THANKS TO evalynsky FOR HELPING ME OUT
Line b: 5y=3x-2
Line c: 10x -6y =-4
Answer:
Line A and B are parallel
Step-by-step explanation:
We need to put these lines on a Graph to easily see which lines are parallel or perpendicular. To do this first we need to turn these equations into slope-intercept form (y=mx*b). At the bottom, I'll tell you where you can find more about this form.
To do this using a tool, you can search 'Graph Calculator' and using one of the graph creators, type the equations.
To do this by hand, you can isolate the Y term to the left side of the equation.
Line A: y = 3/5x + 1
Line B: 5y = 3x - 2
---> 5y / 5 = (3x - 2) /5
---> y = y = 3/5x + 1
Line C: 10x -6y =-4
---> 10x -6y -10x = -4 -10x
---> -6y / -6 = (-4 - 10x) / -6z
---> y = 0.666... + 10/6x
---> y = 10/6x + 0.666...
Here's how the graph looks after adding the lines. (Attachment below)
A is blue, B is green, and C is Purple.
Now you can see that the Line A and B are parallel. This is because if you look at the slope of these lines, they are both 3/5 (y = 3/5x + 1 and y = 3/5x + 1 ). This makes them perpendicular since the Y-intercept is different.
Slope intercept form
You can search "intro to slope intercept form" and click on one of the articles and read through if you want to know more about what Slope-intercept form is.
(Sorry I can't explain this very well, I'm also learning about this as well.)
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