Answer:
-1 3/4 =x
Step-by-step explanation:
-3 1/2= 1/2x+1/2x+x
Combine like terms
-3 1/2 = 2x
Change to an improper fraction
- ( 2*3+1)/2 = 2x
-7/2 = 2x
Multiply each side by 1/2
-7/2 *1/2 = 2x* 1/2
-7/4 = x
Changing to a mixed number
-4/4 -3/4 =x
-1 3/4 =x
Step-by-step explanation:
(6+r)^2 = 81 + r^2
36 + 12r+ r^2 = 81 + r^2
12r = 81-36 = 45
r = 15/4 = 3.75
Answer:
22.4 litres
Step-by-step explanation:
Reaction:
2Mg (s) + O2 (g) → 2 MgO (s)
From the reaction, we know that 2 moles of Mg (s) react with 1 mol of O2
STP conditions mean:
- absolute temperature of 273.15 K
- absolute pressure of 1 atm
Using the equation of state for ideal gases:
PV = nRT
where P is the absolute pressure, T is the absolute temperature, n are the moles, V is the volume, and R is the gas constant = 0.082 atm*L/(mol*K). Solving for V and replacing:
V = nRT/P
V = 1*0.082*273.15/1
V = 22.4 litres
Answer:
0.4394
Step-by-step explanation:
given that an auto parts store is examining how many items were purchased per transaction at the store as compared to their online website
The data is shown below:
Frequency Frequency*Midpt
Midpt Online Total Online Total
1-3 2 40 147 80 294
4-6 5 60 103 300 515
7-9 8 15 32 120 256
10-12 11 5 18 55 198
120 300 555 1263
Thus we find total items purchased on line = 555
and total items overall purchased = 1263
Hence the probability that a randomly selected item was purchased online
=
Answer: (B)
Explanation: If you are unsure about where to start, you could always plot some numbers down until you see a general pattern.
But a more intuitive way is to determine what happens during each transformation.
A regular y = |x| will have its vertex at the origin, because nothing is changed for a y = |x| graph. We have a ray that is reflected at the origin about the y-axis.
Now, let's explore the different transformations for an absolute value graph by taking a y = |x + h| graph.
What happens to the graph?
Well, we have shifted the graph -h units, just like a normal trigonometric, linear, or even parabolic graph. That is, we have shifted the graph h units to its negative side (to the left).
What about the y = |x| + h graph?
Well, like a parabola, we shift it h units upwards, and if h is negative, we shift it h units downwards.
So, if you understand what each transformation does, then you would be able to identify the changes in the shape's location.