Answer:
a) 6 gigabytes
b) $100
Step-by-step explanation:
Let c represent the total cost in dollars and d represent the amount of data used in gigabytes.
For the first smartphone
One smartphone plan costs $52 per month for talk and messaging and $8 per gigabyte of data used each month.
Equation =
c = 52 + 8d
For the Second smartphone
A second smartphone plan costs $82 per month for talk and messaging and $3 per gigabyte of data used each month.
Equation =>
c = 82 + 3d
How many gigabytes would have to be used for the plans to cost the same?
We would equate both cost to each other
52 + 8d = 82 + 3d
Collect like terms
8d - 3d = 82 - 52
5d = 30
d = 30/5
d = 6
Therefore,
a) The number of gigabytes for the cost of both Smartphone data plans to be the same = 6 gigabytes.
b) The cost of both plans if 6 gigabytes is used =>
c = 52 + 8d
c = 52 + 8 × 6
c = $100
9514 1404 393
Answer:
a) (2.64 -2/9 -0.35 +5/8)/4
b) perform the sum, then the division, then round as needed
Step-by-step explanation:
a) The average of a number of items is their sum, divided by the number of items. Here, we want the average of 4 changes, so we compute it as the sum of the changes divided by 4.
average change = (2.64 -2/9 -0.35 +5/8)/4
__
b) My calculator is capable of adding these numbers directly. For a result rounded to the nearest hundredth, it can be a good idea to represent the fractions using at least 3 decimal digits.
So, the steps would be ...
- convert fractions to their decimal equivalents, using 3 decimal digits
- add up the values
- divide by 4
- round to hundredths
Performing these steps, we get ...
average change = (2.64 -0.222 -0.35 +0.625)/4 = 2.693/4
average change ≈ 0.67 . . . degrees
The average daily temperature change of a city was 0.67 degrees.
Answer:
B.
Step-by-step explanation:
Reflection in the x-axis. when you reflect in the x axis, the x -axis remains the same but the y-axis becomes opposite. (It's sign is changed)
Answer:
cm
Step-by-step explanation:
The volume of the box is:
V = height * length * width
V = x*(66 - 2*x)*(90 - 2*x)
V = (66*x - 2*x^2)*(90 - 2*x)
V = 5940*x - 132*x^2 - 180*x^2 + 4*x^3
V = 4*x^3 - 312*x^2 + 5940*x
where x is the length of the sides of the squares, in cm.
The mathematical problem is :
Maximize: V = 4*x^3 - 312*x^2 + 5940*x
subject to:
x > 0
2*x < 66 <=> x < 33
In the maximum, the first derivative of V, dV/dx, is equal to zero
dV/dx = 12*x^2 - 624*x + 5940
From quadratic formula
But 
, then is not the correct answer.
Answer:
(x - 26)(x + 14)
Step-by-step explanation:
We need to find 2 numbers that add up to -12 and multiply to -364.
We know we will need one positive number and one negative number:
-26 and 14 work to multiply to -364.
-26 and 14 add up to -12.
∴ (x - 26)(x + 14)
