You need to find points where the line g(x) intercepts the quadratic function f(x) in one and only one point.
Then 3x^2 + 4x -2 = mx - 5
solve 3x^2 + 4x - mx -2 + 5 = 0
3x^2 + (4 - m)x + 3 = 0
In order to there be only one solution (one intersection point) the radicand of the quadratic formula must be 0 =>
b^2 - 4ac = (4 - m)^2 - 4(3)(3) = 0
(4 - m)^2 = 24
4 - m = +/- √(24)
m = 4 +/- √(24) = 4 +/- 2√(6)
Then m, the slope of the line, may be 4 + 2√6 and 4 - 2√6
Answer:
It costs $0.216 to make smaller can and $0.324 to make larger can
Step-by-step explanation:
Given:
The ratio of the surface areas = 4:9
Area of smaller cans = 36 sq in
Cost = $0.006 per square inch
To Find:
how much does it cost to make each can = ?
Solution:
Lets the area of the larger can be x
the ratio is 4 : 9
then 4x = 9.(36)
4x = 216
x = 54
The area of the larger can is 54 sq in
Now the cost of making the smaller can = 
= $0.216
The cost of making the Larger can = 
=$0.324
Answer:
V = 235.6 cm³
Step-by-step explanation:
the formula for the volume of a cylinder of radius r and length h is
V = πr²h.
Here, r = 2.5 cm and h = 12 cm, so the volume is:
V = π(2.5 cm)²(12 cm) = 75π cm³
To the nearest tenth, this volume would be V = 235.6 cm³
Answer:
A) Red and Blue Bulbs
B) 262 lightbulbs.
Step-by-step explanation:
A) red and blue = 85+52=137
Yellow and green = 76+49=125
Answer to A is Red and Blue bulbs
Bulbs in all: We already know from A that there are 137 and 125 so 137+125 is 262.
Hope this helps plz hit the crown :D
Well I would solve it but where's the problem?
