Question is a bit vague. If you wish to graph this inequality, you'll need to know what the graph of the absolute value function y = |x| looks like; it's a " V " with the vertex at the origin. The slope of the right half of the graph is m=1. Draw this function.
Next, subtract 2 from both sides. We'll get <span> |x + 1| < –1 - 2
or
</span> |x + 1| < –3. We can stop here! Why! because the absolute value function is never smaller than zero, and so <span> |x + 1| is never smaller than -3.
You could, of course, graph y = |x+1|; start with your graph for y = |x| and then move the whole graph 1 unit to the left (away from the origin). If you do this properly you'll see that the entire graph is above the x-axis, except for the vertex (-1,0). Again, that tells us that the given inequality has no solution.
</span>
Answer:
4
Step-by-step explanation:
y^2-7y-8
-4^2-7(-4)-8
−16−(7)(−4)−8
−16−(−28)−8
12−8
4
Answer: x=26
Let’s start with rewriting the equation
3x-14+4+2x+(-18+3x)=180
Now let’s distribute. We’ll do this by multiplying the 1 with the -18, and the 1 with the 3x.
3x-14+4+2x+(-18+3x)=180
3x-14+4+2x-18+3x=180
Now let’s combine like terms. These are the numbers that share the same variable, or lack of.
3x-14+4+2x-18+3x=180
8x-28=180
Our goal is to get x alone on the left side. Our first step in doing this is to add 28 on both sides.
8x-28=180
+28 +28
_________
8x=208
Now to finally get x alone on the left side (and get our final answer) we need to divide 8x and 208 by 8.
8x=208
8x/8=208/8
x=26
This is the final answer!
Hope this helps comment below for more questions :)
Answer:
d So y = 10 (.5)^x the 10 is the initial amount of the sample at the time it was discovered
Step-by-step explanation:
When we have an equation of the form
y = ab^x
a is the initial value at time x=0
b is the growth (or decay ) factor
and x is the time
So y = 10 (.5)^x the 10 is the initial amount of the sample at the time it was discovered