Answer:
13.50+0.81= $14.31
Step-by-step explanation:
Hope this helps!
Hi!
The measure of angle x is 60 degrees so the measure of angles 2x is 120 degrees.
Answer:
The answer is 4.2 kilograms of dog food
Step-by-step explanation:
it says that ray feeds his dog 0.12 kilogram of food each day
he needs for 1 month
1 month = 31 days or 30 days
since 1 day food is 0.12 kilograms you'll have to multiply 0.12 with 1 month
i.e; 0.12*31 or 0.12*30
0.12*31=3.72 and 0.12*30=3.6
since we don't have an option we'll have to choose something bigger than this
therefore, the answer is 4.2
Answer:
150%
Step-by-step explanation:
25-10= 15
15/10 = 1.5
1.5 = 150%
Answer:
Roots are not real
Step-by-step explanation:
To prove : The roots of x^2 +(1-k)x+k-3=0x
2
+(1−k)x+k−3=0 are real for all real values of k ?
Solution :
The roots are real when discriminant is greater than equal to zero.
i.e. b^2-4ac\geq 0b
2
−4ac≥0
The quadratic equation x^2 +(1-k)x+k-3=0x
2
+(1−k)x+k−3=0
Here, a=1, b=1-k and c=k-3
Substitute the values,
We find the discriminant,
D=(1-k)^2-4(1)(k-3)D=(1−k)
2
−4(1)(k−3)
D=1+k^2-2k-4k+12D=1+k
2
−2k−4k+12
D=k^2-6k+13D=k
2
−6k+13
D=(k-(3+2i))(k+(3+2i))D=(k−(3+2i))(k+(3+2i))
For roots to be real, D ≥ 0
But the roots are imaginary therefore the roots of the given equation are not real for any value of k.
