Answer:
A
Step-by-step explanation:
Complex roots of quadratic functions occur when the <u>discriminant is negative</u>.
<u>Discriminant</u>
Evaluate the discriminant of each of the given equations.
As -24 < 0 the equation will have complex roots.
As 41 > 0 the equation does not have complex roots.
As 48 > 0 the equation does not have complex roots.
As 33 > 0 the equation does not have complex roots.
Learn more about discriminants here:
brainly.com/question/27444516
brainly.com/question/27869538
Learn more about complex roots here:
brainly.com/question/26344541
Answer:
47.4%
Step-by-step explanation:
The total amount Louise spent on Frappuccinos was 4×$4.50 = $18. The fraction that is of the total is ...
Fraps/Total = $18/$38 = 9/19
That can be converted to a percentage by multiplying by 100%:
9/19 = (9/19)×100% ≈ 47.4%
Louise spent 47.4% of the $38 on Frappuccinos.
_____
<em>Additional comment</em>
The decimal equivalent of 9/19 is a repeating decimal with an 18-digit repeat.
Answer: B, x=20; angle measure is 30°.
Step-by-step explanation:
Opposite angles are always the same.
You can see that 30° and 3x are opposite angles therefore 3x=30°.
In algebra, when a letter and a number are next to each other, it means times.
So, 3x=30° means 3 times something equals 30.
And we know that 3×10=30 so, x=10.
Hope this helps :)
(a) From the histogram, you can see that there are 2 students with scores between 50 and 60; 3 between 60 and 70; 7 between 70 and 80; 9 between 80 and 90; and 1 between 90 and 100. So there are a total of 2 + 3 + 7 + 9 + 1 = 22 students.
(b) This is entirely up to whoever constructed the histogram to begin with... It's ambiguous as to which of the groups contains students with a score of exactly 60 - are they placed in the 50-60 group, or in the 60-70 group?
On the other hand, if a student gets a score of 100, then they would certainly be put in the 90-100 group. So for the sake of consistency, you should probably assume that the groups are assigned as follows:
50 ≤ score ≤ 60 ==> 50-60
60 < score ≤ 70 ==> 60-70
70 < score ≤ 80 ==> 70-80
80 < score ≤ 90 ==> 80-90
90 < score ≤ 100 ==> 90-100
Then a student who scored a 60 should be added to the 50-60 category.
B because it =90 so it is Complementary