Answer:
Once. at (3,0)
Step-by-step explanation:
It is handy to have a graphing calculator for this kind of question.
Otherwise work it out.
All the terms are multiples of 3, so simplify.
then factor (x -3)(x-3)
Set each equal to 0 and solve for x.
x - 3 = 0 x = 3
OH ! they are identical! So there is only One value for x that will produce an output of 0.
So it intersects (touches) only once.
Funtion ! in vertex form is given by
<span>f(x) = 4x^2 + 8x + 1</span> = 4(x^2 + 2x + 1/4) = 4(x^2 + 2x + 1 + 1/4 - 1) = 4(x + 1)^2 + 4(-3/4) = 4(x + 1)^2 - 3
Thus, the least minimun value is (-1, -3)
Also, the least minimum value of function 2 is (-1, 0)
Therefore, function 1 has the least minimum value at (-1, -3)
Try to start by reading the manual it came with. If it didn't come with a manual, then your teacher in school will teach you how to use it for specific commands. Otherwise it's just like using a regular calculator but with the ability to do more things, what do you need to know on it?
Answer:
100 pi cm^2
or approximately 314 cm^2
Step-by-step explanation:
The surface area of a sphere is given by
SA = 4 pi r^2
The radius is 5
SA = 4 *pi * 5^2
SA = 4*pi(25
SA = 100 pi cm^2
If pi is 3.14
SA = 100 *3.14 = 314 cm^2
Answer:
11/19
Step-by-step explanation:
Firstly, we need to know the total number of instructors. This is equal to 7+5+4+3 = 19 instructors.
The probability of selecting a science instructor is 4/19
The probability of selecting a math instructor is 7/19
The probability of selecting either a science or a maths instructor is 4/19 + 7/19 = 11/19
