6 sec can take penny to strike the ground.
Solution:
Given data:
feet
feet
Re-arrange the terms from greatest degree to smallest degree.
We can solve it by applying quadratic formula,
Here a = –16, b = 48, c = 288
Now, write find two t's using plus and minus operation.
t = –3 (or) t = 6
We cannot write time is negative. so neglect t = –3.
Therefore t = 6.
Hence 6 sec can take penny to strike the ground.
Answer:
x = 9
Step-by-step explanation:
The outer and inner triangles are similar, thus the ratios of corresponding sides are equal, that is
= , that is
= ( cross- multiply )
12(x - 3) = 8x
12x - 36 = 8x ( subtract 8x from both sides )
4x - 36 = 0 ( add 36 to both sides )
4x = 36 ( divide both sides by 4 )
x = 9
Solve for k by simplifying both sides of the equation, then isolating the variable.
k= 14/5
Answer:
y=6
Step-by-step explanation:
y=kx
3=9k
k=3/9
k=1/3
y=kx
y=1/3 × 18
y=6
The dominant term is -2x⁴.
As X approaches infinite, y is naturally going to be really large as well.
Remember that a number with an even exponent, regardless of whether it's positive or negative, will be positive.
As x approaches infinite, y will approach -2 * ∞, or -∞. Therefore, the end behavior in the positive direction is y=-∞
As x approaches negative infinite, y will approach -2 *∞ again. This is because -∞⁴ = ∞. Therefore, the end behavior in the negative direction is also y=-∞
Basically, due to the dominance of the -2x^4 term, the function will look more or less like a downward facing parabola with a y-intercept of 3.