Answer:
230 in²
Step-by-step explanation:
14×5=70×3=210
(5×4)÷2=10×2=20
210+20=230
2/9=0.223
21%=0.21
4.3x10-2=41
-3/5=-0.6
0.023
arrange these in ascending order and you have
<span>-3/5=-0.6
</span><span>21%=0.21
</span><span>0.023
</span><span>2/9=0.223
</span><span>4.3x10-2=41
</span>
so in ascending order they are
-3/5, 21%, 0.023, 2/9, 4.3x10-2
hope this helps :)
The image translated 3 units to the right! A good way to tell is by looking at the values of the points on both triangles. For example, we can see that all the y values stayed the same, meaning that the image did not move up or down. However, we can see that that each x value increased by 3, meaning that the shape translated 3 units to the right.
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