Answer:
16
Step-by-step explanation:
To solve a quadratic equation by using the completing the square method, the coefficient of the square term i.e x² must be one (1).
Therefore, we would have to first make the coefficient of x² to be equal to 1.
4x² + 24x + 8 = 32
We would simplify the equation;
4x² + 24x = 32 - 8
4x² + 24x = 24
Divide all through by 4;
x² + 8x = 24
The value to be added = (8/2)² = 4² = 16
x² + 8x + 16 = 8 + 16
x² + 4x + 4x + 16 = 24
x(x + 4) + 4(x + 4) = 24
(x + 4)² = 24
Taking the square root of both sides;
x + 4 = ± 4.9
x = -4 ± 4.9
x = -4 + 4.9 = 0.9
or
x = -4 - 4.9 = - 8.9
<em>Therefore, 16 must be added to solve the quadratic equation by completing the square method. </em>
I think that it's an obtuse triangle.
Answer:
X = 24
Step-by-step explanation:
Add 9 To Both Sides
X - 9 + 9 = 15 + 9
Simplify
X = 24
Best Of Luck,
- I.A. -
Answer:
Mean: 5
Median: 5
Mode: 2
Range: 7
Step-by-step explanation:
We find the mean by adding all the numbers together to get 45. Then we divide the 45 by the amount of numbers in the set, for this one it is 9. 45 divided by 9 equals 5.
To find the median we put the numbers in the set in order from least to greatest. Next, we find the middle number. median=5
To find the mode we find the number repeated the most. In this set the number that repeats the most is 2.
Range is found by subtracting the largest number and the smallest number. 9-2=7
First, let's write down this inequality:
<span>There are at least 245 students enrolled in the school.
y≥245
This inequality says what the sentence says!
now, the number of teachers must be:
x≥2*(y/25)
(two times the number of groups of students of 25!)
so those two inequalities, taken together will be the answer!
</span>
