Answer: -4
Step-by-step explanation: I am guessing you meant ...99 + 2(8*3)...
3x + 99 + 2(8 x 3) = 135
3x + 99 + 2(24) = 135
3x + 99 +48 = 135
3x + 147 = 135
(3x + 147) - 147 = (135) - 147
3x = -12
(3x) ÷ 3 = (-12) ÷ 3
x = -4
Step-by-step explanation:
his father's age= 4x
his mother's age= 4x- 7
his age= x
x+4x+4x-7=101
x+ 4x+ 4x= 101+ 7
9x= 108
= 
x= 12
Tesfa is 12 years old
Answer:
Slope would be -1/3
Step-by-step explanation:
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:
25.6 meters
Step-by-step explanation:
4 minutes times 6.4 meters
4 • 6.4= 25.6
