we know that
A number is an inequality solution if the number satisfies the inequality
<u>Part 1)</u> 
rewrite the inequality
The answer Part 1) is the option D 
Because satisfies the inequality
-----> is true
<u>Part 2)</u> 
The answer Part 2) is the option A 
Because satisfies the inequality
-----> is true
<u>Part 3)</u> 
we're going to verify every case
<u>case A)</u> For 
substitute the value of x in the inequality
------> is true
therefore
The number 
is a solution
<u>case B)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
<u>case C)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
<u>case D)</u> For 
substitute the value of x in the inequality
------> is not true
therefore
The number 
is not a solution
therefore
The answer Part 3) is the option A
It looks like the integral is
where <em>D</em> is the set
<em>D</em> = {(<em>x</em>, <em>y</em>) : 0 ≤ <em>x</em> ≤ 1 and <em>x</em> ² ≤ <em>y</em> ≤ √<em>x</em>}
So we have
Probability = no of outcomes / total outcomes
First draw = no of blue mables / total mables = 3 / (4 + 3 + 3) = 3/10
For the second draw, since there was no replacement of the first draw, the blue mables has reduced by one, and the total mables has reduced by one.
Second draw = no of remaining blue mables / total remaining mables = 2/9
Probability for both draws = 3/10 x 2/9 = 1/15
Answer:
The equation of the line would be y = -2x + 10
Step-by-step explanation:
In order to find the equation of this line, we first have to note that perpendicular lines have opposite and reciprocal slopes. Therefore, since the original line has a slope of 1/2, we know the new line will have a slope of -2. Now we can use that information along with the given point in point-slope form to find the equation.
y - y1 = m(x - x1)
y - 8 = -2(x - 1)
y - 8 = -2x + 2
y = -2x + 10
Answer:
Step-by-step explanation:
