Answer:
D. Mr. X
Step-by-step explanation:
Answer:
48 yr. old
Step-by-step explanation:
Assume daughter is 4 and mom is 10 times her age, so mom is 40.
10 (woman) * 4 (daughter's age) = 40 yr. old mom
Present day...
40 (yr old mom) + 8 (yrs later) = 48 yr. old mom today
4 (yr old daughter) + 8 (yrs later) = 12 yr. old daughter today
So, if mom is 4 times as her daughter's age today...
48 (yr. old mom) / 12 (yr. old daughter) = 4
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.
Answer:
A. 8x+5y
Step-by-step explanation:
First day: 3x+2y
Second day: 5x+3y
Add both expressions together.
(3x+2y)+(5x+3y) =
= 3x+2y+5x+3y=8x+5y
Hope this helps!
If not, I am sorry.
Answer:
yes because rational numbers can be written as a fraction
Step-by-step explanation: