Answer:
Region D.
Step-by-step explanation:
Here we have two inequalities:
y ≤ 1/2x − 3
y < −2/3x + 1
First, we can see that the first inequality has a positive slope and the symbol (≤) so the values of the line itself are solutions, this line is the solid line in the graph.
And we have that:
y ≤ 1/2x − 3
y must be smaller or equal than the solid line, so here we look at the regions below the solid line, which are region D and region C.
Now let's look at the other one:
y < −2/3x + 1
y = (-2/3)*x + 1
is the dashed line in the graph.
And we have:
y < −2/3x + 1
So y is smaller than the values of the line, so we need to look at the region that is below de dashed line.
The regions below the dashed line are region A and region D.
The solution for the system:
y ≤ 1/2x − 3
y < −2/3x + 1
Is the region that is a solution for both inequalities, we can see that the only region that is a solution for both of them is region D.
Then the correct option is region D.
10.9297 anxdjehsimdudneueneieo
1,000,000 is 1,000 times greater then 1,000
Step-by-step explanation:
If you multiply 1,000x1,000 you'll get an answer of 1,000,000
Therefore, 1,000,000 is going to be 1,000 times greater
You started out with 260, and increased to 430.
The amount you increased was (430 - 260) = 170
170 is (170/260) = <em>65.4%</em> of what you started with.
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Another way:
The new amount is (430/260) of the old amount.
430 / 260 = 1.654 = 165.4%
The original amount was 260.
You started with 100% of it.
You ended up with 165.4% of it.
That's an increase of 65.4% .
Answer:y=15/4
Step-by-step explanation:
start with general form y = kx. substitute in the pair of values you know for x and y.
75/8 = k(5) multiply both sides by 1/5 to solve for k, getting
15/8 = k
So your equation is y = (15/8)x substitute 2 for x to find your new y.
y = (15/8)2
y = 15/4
