Answer:
-2
Step-by-step explanation:
down 4 over 2 meaning it's negative; simplify
Answer:
58cm squared
Step-by-step explanation:
Ok so what we first want to do is find out the total area of that rectangle.
The way we do this is by multiplying the width x height which in this case is 10 cm and 7 cm.
This gives us 70 cm as the total area of the rectangle if the circular hole wasn't there. Now we need to find the area of the circle.
The way we do this is by taking the circle and finding the radius. The radius is shown as 2cm.
Now the formula to find the area of a circle is which means it is about 3.14 multiplied by r squared.
R squared in this problem is going to be 2 x 2 which is 4.
Now we just do 3.14 times 4 which gives us about 12.
What we do next is subtract 12 from the total area of the rectangle which is 70.
This gives us 58cm squared as an answer.
Hope this helped ! !
<3
Answer:
Step-by-step explanation:
Slope= -3/1
plot from point (-2,4)
Answer:
Step-by-step explanation:
From the given information
Principal Initially Invested, P =$419
Annual Rate, r=9.2% =0,092
Time, t = 20 Years
Since it is compounded continuously, the value after t years is determined using the given model:
Substituting the given values
The value of the account after 20 years is (correct to the nearest cent)
When we say that a function is continuous between x = -3 and x = 0 it means that it exists for all values of x in between -3 and 0. Let's take a look at each choice individually:
A: f(x) = (-x + 1)/(x + 2)
Now we don't actually need to know what the graph of this function looks like to see which values it is continuous for, instead we should look at which values of x will make this function undefined - in this case that would be x = -2. The reasoning behind this is that a number divided by 0 would be undefined, so when we search for which value of x would make the denominator of the equation 0, we get:
x + 2 = 0
x = -2
Since x = -2 is within the interval [-3, 0] we cannot say the function is continuous over this interval
B: f(x) = -2/(x + 1)
Using the same method as above we get:
x + 1 = 0
x = -1
x = -1 is again within the interval [-3, 0] and so the function is not continuous within this interval
C: f(x) = 3x/(x - 2)
x - 2 = 0
x = 2
x = 2 is outside the interval of [-3, 0] and so the function is continuous within this interval and C is the correct answer.
Just for the sake of it however we can look at D as well:
D: f(x) = 1/(2x + 1)
2x + 1 = 0
x = -1/2
-1/2 is within [-3, 0] and so D is not continuous over this interval