Answer:
The x-intercept of the line will be at (32,0)
Step-by-step explanation:
The equation of a straight line passing through the two known points and is given by
Therefore, the equation of the straight line passing through the points (-12,14) and (-2,21) will be
⇒ 10(y - 14) = 7(x + 12)
⇒ 7x - 10y + 224 = 0 .......... (1)
Now, putting y = 0, we will get the x-intercept as 7x = - 224
⇒ x = - 32
Therefore, the x-intercept of the line will be at (- 32,0) (Answer)
We need to find 82.5% of 40 men (the total on the team.). The 200 lbs is extra information that we do not need to use in our calculation - so ignore that.
To find 82.5 percent - move the decimal two places to the left (.825) and multiply by 40.
40 x .825 = 33. 33 men are over 200 lbs on the team.
The interval notation is
Explanation:
The inequality is
Let us complete the square, we get,
Simplifying, we have,
Adding both sides of the equation by 11, we get,
Since, we know that for , if n is even then
Thus, writing the above expression in this form, we get,
Also, if then and
Then ,we have,
and
Solving the inequalities, we get,
and
Merging the intervals, we have,
Hence, writing the solution in interval notation, we have,
Therefore, the answer is
Y = - 2/3x + c , ( -9 , 7 )
7 = - 2/3 ( - 9 ) + c
c = 13
y = - 2/3x + 13
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