Answer:
3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Remark
I take it that 24 is in front of j which means that the term is 24j. There shouldn't be a comma there.
Both numbers have 8 in common, and that's all they have in common. The GCF is therefore, 8
24j - 16 = 8(3j - 2) That's the answer.
Answer: 8 (3j - 2)
Answer:
graph (b)
Explanation:
The farm started with 40 sheep and the number doubled each year.
So, the equation modeling this situation would be:
N(x) = 40*(2)^2
By getting the equation, we can notice that we already excluded the third and fourth choices as they have the wrong equations.
Now, we will need to select the right graph which is either graph a or graph b.
To do this, we will get the value of N(x) for different values of x as follows:
At x = 0: N(0) = 40*(2)^0 = 40
At x = 1: N(1) = 40*(2)^1 = 80
At x = 1: N(2) = 40*(2)^2 = 160
Now, taking a look at graph a, we will find that:
N(1) = 120
N(2) = 360
These numbers are not the same as the numbers we calculated, therefore, this graph is wrong
Taking a look at graph b, we will find that:
N(1) = 80
N(2) = 160
These numbers are exactly the same as the ones calculated, therefore, this graph is the correct one.
Hope this helps :)
Answer:
The hotel bill in the first city before tax would be $ 650
Step-by-step explanation:
Let x be the hotel charges ( in dollars ) before tax in the first city,
∵ Hotel charges before tax in the second city were $1500 lower than in the first.
So, the hotel charges in second city = ( x - 1500 ) dollars,
Now, percentage of tax in,
First city = 8%
Second city = 10%,
So, the total tax in both city = 8% of x + 10% of (x-1500)
According to the question,
Hence, the hotel bill in the first city before tax would be $ 650.
For the line that has a positive slope, the equation is y = 2x - 1
This is because slope is rise over run(rise/run) or m = y₂-y₁ / x₂-x₁. The line goes up(rise) 2 units, and goes to the right(run) by 1 unit.
The y-intercept(the point the line touches when x = 0) is -1.
You use the equation y = mx + b, try to find m and b(y-intercept) and plug it into the equation.
For the line that has a negative slope, the equation is y = -x + 5
