15x²+16x+4 =0 (ax² +bx +c=0)
Δ = b²-4ac =256 - 4×15×4 =16
x1 = (-b+√Δ) / 2a = (-16+√16) / 30 =( -16+4) / 30 = -12/30 = - 2/5
x2 = (-b -√Δ) / 2a = (-16 -√16) / 30 = (-16 -4) /30 = -20/30 = -2/3
So use undistributive properyt]
ab+ac=a(b+c)
so factor 24a dadn 28 to find 'a' the common factor
24=2 times 2 times 2 times 3 tiems a
28=2 times 2 times 7
common one is 2 itmes 2=4
a=4
4(2 times3 times a)+4(7)=4(6a)+4(7)=4(6a+7)
The number beside the letter . for example 6x, 6 would be the variable
Answer:
The rate rate of change of radius is 
inches per second when the diameter is 12 inches.
The radius is changing more rapidly when the diameter is 12 inches.
Step-by-step explanation:
Consider the provided information.
A spherical balloon is being inflated at a rate of 3 cubic inches per second.
The volume of sphere is 
Differentiate the above formula with respect to time.
Substitute the respective values in the above formula,
The rate rate of change of radius is inches per second when the diameter is 12 inches.
When d=16
Thus, the radius is changing more rapidly when the diameter is 12 inches.
Answer:
Option D is not a rational number
Step-by-step explanation:
A rational number is one that can be represented in the form of fraction like X/Y, where X and Y are integers and X ≠ 0. While an irrational number is one that cannot be expressed in the form of simple fractions.
For example, ¾ is a rational number while √3 is an irrational number.
Now to the question;
A) The product of 2 and 0.3333 gives;
2 × 0.3333 = 0.6666.
This can be expressed as a fraction as; 6666/10000.
Thus it is a rational number
B) The sum of 2 + √3 and 5 - √3 gives;
2 + √3 + 5 - √3 = 7
As a fraction, it can be written as; 7/1
Thus it is a rational number.
C) The sum of 37 and 12 is;
37 + 12 = 49
Can be expressed as; 49/1
Thus,it's a rational number.
D) Product of 2 and √2 gives;
2 × √2 = 2√2
It can't be expressed as a fraction with integers. Thus, it's not a rational number.
