The answer you are looking for is 12.0
Discriminant of a quadratic equation can be calculated as:
Discriminant = b² - 4ac
b = coefficient of x term = 2
a = coefficient of squared term = 1
c = constant = 7
So,
Discriminant = 4 - 4(1)(7) = -24
So, the correct answer to this question is option C
I’m assuming what you’re asking here is how to *factor* this expression. For that, let’s rearrange the expression into a more familiar form:
-c^2-4c+21
From here, we’ll factor out a -1 so that we have:
-(c^2+4c-21)
Let’s focus on the quadratic expression inside the parentheses. To find our factors (c + x)(c + y), we’ll need to find two terms x and y that multiply together to make -21 and add together to make 4. It turns out that the numbers -3 and 7 work out perfectly for that purpose (-3 x 7 = -21 and 7 + (-3) = 4), so substituting them in for x and y, we have:
(c + (-3))(c + 7)
(c - 3)(c + 7)
And adding back on the negative from a few steps earlier:
-(c - 3)(c + 7)
Answer:
33,11,−11,−33,<u>-55,-77.</u>
Step-by-step explanation:
For an AP 
.
In this given AP,
It means the given sequence is an AP.
First term, a = 33
d = -22
Fifth term :
Sixth term :
So, the sequence is 33,11,−11,−33,<u>-55,-77.</u>
Answer: The mixed number is 5 5/8 cups of trail mix.
Step-by-step explanation:
- Find the least common multiple of 4, 6, 2, 8, and 3, which is 24.
- Convert the fractions so they have 24 as their denominator.
- 2 1/4 ; 9/4 = 54/24
- 5/6 = 20/24
- 1/2 = 12/24
- 1 3/8 ; 11/8 = 33/24
- 2/3 = 16/24
3. Add the numerators, 54 + 20 + 12 + 33 + 16. 54 +16 = 70. 70 + 20 = 90. 90 + 12 = 102. 102 + 33 = 135.
4. The improper fraction is 135/24. Simplify it by 3 on both numerator and denominator which results in 45/8. 45/8 as a mixed number is 5 5/8 since 8 goes into 45, 5 times and the remainder is 5, which results the denominator to be 8.
