he solution set is
{
x
∣
x
>
1
}
.
Explanation
For each of these inequalities, there will be a set of
x
-values that make them true. For example, it's pretty clear that large values of
x
(like 1,000) work for both, and negative values (like -1,000) will not work for either.
Since we're asked to solve a "this OR that" pair of inequalities, what we'd like to know are all the
x
-values that will work for at least one of them. To do this, we solve both inequalities for
x
, and then overlap the two solution set
Answer:
5
Step-by-step explanation:
The exchange rate is 10 CAD = 7 USD
Which means:
10/7 CAD for EACH USD
So, d USD would be:
d * 10/7 = (10d)/7 CAD
This is what she has now, after exchange (in CAD).
She spends 60 and has "d" left, so finding d:
Hence, d = 140
The digits of d are 1, 4, and 0
The sum is:
1 + 4 + 0 = 5
The sum is 5
for the second pair of angles, the angle of reference is really about 26.57°. Now, the tangent is only negative in two quadrants, the II and IV Quadrants, using the angle of reference, it'd give us those angles.
Make sure your calculator is in Degree mode.
Answer:
Step-by-step explanation:
<u>Given:</u>
- Weight on Earth = 70 pounds
- Weight on Mars = 28 pounds
<u>As per given the proportion is:</u>
<u>A rock that weights 250 pounds on Mars would weigh on Earth:</u>
- 250/x = 2/5
- x = 250*5/2
- x = 625 pounds
Answer:
Step-by-step explanation:
The given line is passing through coordinates (-1,0) and (0,2), when it clearly shows that the y-intercept is at 2, which means b=2.
Now, we need to find the slope with the formula
Replacing the given points, we have
Then, we use the slope-intercept form
Where and
Replacing these values, we have
Therefore, the equation which represents the given line is
However, Leo's line is perpendicular to this one, that means the slope most be in opposite number and sign, that is
Now, we use this slope for the perpendicular line. So, Leo's equation must be