B. 8+(-10)
Explanation:
8-10 is -2
If you try all the answers, 8+-10=-2
Answer: (2,5)
Step-by-step explanation:
To find the x coordinate of the vertex, you will set x-2=0 and solve for x
x-2=0
+2 +2
x = 2
Now since we know the vertex has an x coordinate of 2 we have to solve for y by plotting in the x value.
y= 1/2(2-2)^2 + 5
y = 0 +5
y =5
(2,5)
Answer:
The population in the study is the entire set of high school students in the United States
Step-by-step explanation:
The goal of the study is to study the texting habits of hogh school students
Answer:
Step-by-step explanation:
Given : For each sandwich:
Quantity of meat used = 4 ounces
Quantity of cheese used = 3 ounces
The combined ounces of meat and cheese are used on each sandwich =
Quantity of meat used + Quantity of cheese used
= 4 ounces + 3 ounces
= 7 ounces
Hence, The combined ounces of meat and cheese are used on each sandwich = 7 ounces
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.
