M=2
The slope intercept form is y=Mx+b,where m is the slope and b is the y intercept y=Mx+b
Using the slope intercept form the slope is 2 m=2
All lines that are parallel to y =2x-5 have the same slope of 2
M=2
First translate the English phrase "Four times the sum of a number and 15 is at least 120" into a mathematical inequality.
"Four times..." means we're multiplying something by 4.
"... the sum of a number and 15..." means we're adding an unknown and 15 and then multiplying the result by 4.
"... is at least 120" means when we substitute the unknown for a value, in order for that value to be in the solution set, it can only be less than or equal to 120.
So, the resulting inequality is 4(x + 15) ≤ 120.
Simplify the inequality.
4(x + 15) ≤ 120
4x + 60 ≤ 120 <-- Using the distributive property
4x ≤ 60 <-- Subtract both sides by 60
x ≤ 15 <-- Divide both sides by 4
Now that we have the inequality in a simplified form, we can easily see that in order to be in the solution set, the variable x can be no bigger than 15.
In interval notation it would look something like this:
[15, ∞)
In set builder notation it would look something like this:
{x | x ∈ R, x ≤ 15}
It is read as "the set of all x, such that x is a member of the real numbers and x is less than or equal to 15".
Answer:
A.
Step-by-step explanation:
15x1=15 so 2x as many men 15x2=30 30+ 15 is 45.
Answer:
70
Step-by-step explanation:
By exterior angle theorem:
We know the compound interest formula is given by
Now, we have been given that 24,000 is invested for 2 years with an APR of 6% and daily compounding. Thus, we have
On substituting these values in the above formula for the compound interest, we get
Therefore, the balance in the account after 2 years is 27059.7
