The standard form of a quadratic equation is ,
ax² + bx + c = 0.
And the formula to find the discriminant is b² - 4ac.
Here the first step is to change the given equation into standard form. So, add 1 to each sides of the equation. Therefore,
2x² – 9x + 2+1 = –1 + 1
2x² – 9x + 3 = 0
Next step is to compare the given equation with this equation to get the value of a, b and c.
After comparing the equations we will get a = 2, b = -9 and c = 3.
So, discriminant = b²- 4ac
=( -9)²-4 (2)(3)
= 81 - 24
= 57
So, discriminant of the given equation is 57.
57 is greater than 0 and square root of 57 will result real number.
So, the correct choice is C: The discriminant is greater than 0, so there are two real roots.
Answer: y = 8
Step-by-step explanation:
Answer:
The function of height has a maximum value.
Step-by-step explanation:
Maximum or Minimum:
A given function f(x).
- Find out f'(x) and f''(x)
- Then set f'(x)=0 which gives x=a.
- f''(a) > 0 , then at x=a , f(x) has minimum value.
- If f''(a)<0 , then at x=a, f(x) has maximum value.
Given that, a baseball is thrown with with an velocity of 32 feet per second.
The equation of height is
Differentiating with respect to t
Again differentiating with respect to t
Next, we set h'=0
Now 
Since at t=1, h''<0.
The function of height has a maximum value.
The maximum of h is = -16.(1)²+32
= -16+32
=16 feet
Answer:
1. True
2. False
3. True
4. False
5. True
Step-by-step explanation:
1. For a real number a, a + 0 = a.
This is true, any number plus zero is that number.
2. For a real number a, a + (-a) = 1.
This is false. Adding a negative number is the same as subtracting that number. So a + (-a) = a - a = 0
3. For a real numbers a and b la-bl = |b-al.
This is true. Absolute value represents the distance between two numbers. This number can never be negative, therefore la-bl = |b-al.
4. For real numbers a, b, and c, a +(bº c) = (a + b)(a + c).
False. a + (b * c) = a + bc.
If you foil (a + b)(a + c) you will see its equal to a²+ab+ac+bc, which is definitely different than a + (b*c)
5. For rational numbers a and b when b# o, is always a rational number.
True, a rational number is one that can be written as a fraction with two integers. The quotient of two rational numbers can always be written as a fraction with integers.
Answer:
39,6
Step-by-step explanation:
= 18 x 11
= 198
= 198 ÷ 5
= 39,6
The answer is 39,6
