Answer:
The solutions listed from the smallest to the greatest are:
x: 
y: -1 1 -1 1
Step-by-step explanation:
The slope of the tangent line at a point of the curve is:
The tangent line is horizontal when 
. Then:
, for all 
, for all
The first four solutions are:
x:
y: 1 -1 1 -1
The solutions listed from the smallest to the greatest are:
x:
y: -1 1 -1 1
Answer:
Slope: 
Equation: 
Step-by-step explanation:
The line of the best fit passes through the points (0,8) and (4,6).
If the line passes through the points 
and 
then the slope of the line is
Hence, the slope of the line of the best fit is
The equation of the line is
where m is the slope and b is y-intercept, so the equation of the line of the best fit is
Answer:
He should have to spell at least 36 of these words correctly.
Step-by-step explanation:
40 words.
He must spell at least 90% of those words correctly.
At least how many words should he have to spell correctly to get the prize?
90% of 40. So
0.9*40 = 4*9 = 36
He should have to spell at least 36 of these words correctly.
5x² + 5x + 2x + 2
5x(x + 1) + 2(x + 1)
(5x + 2)(x + 1)
Answer:
amount of nuts = 2 pounds
amount of dried fruit = 4 pounds
Explanation:
We are given that x is the amount of nuts and y is the amount of dried fruit.
We are also given that:
1- Hunter needs to make 6 pounds of trail mix. This means that:
x + y = 6
This can be rewritten as:
x = 6 - y .........> equation I
2- x costs $4 per pound, y costs $3.5 and Hunter can spend a total of $22. This means that:
4x + 3.5y = 22 ..........> equation II
Substitute with equation I in equation II and solve for y as follows:
4x + 3.5y = 22
4(6-y) + 3.5y = 22
24 - 4y + 3.5y = 22
24-22 = 4y-3.5y
2 = 0.5y
y = 4 pounds
Substitute with y in equation I to get the value of x as follows:
x = 6-y
x = 6-4
x = 2 pounds
Hope this helps :)
