Solve for x over the real numbers:
2 x^2 - 4 x - 3 = 0
Divide both sides by 2:
x^2 - 2 x - 3/2 = 0
Add 3/2 to both sides:
x^2 - 2 x = 3/2
Add 1 to both sides:
x^2 - 2 x + 1 = 5/2
Write the left hand side as a square:
(x - 1)^2 = 5/2
Take the square root of both sides:
x - 1 = sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
x = 1 + sqrt(5/2) or x - 1 = -sqrt(5/2)
Add 1 to both sides:
Answer: x = 1 + sqrt(5/2) or x = 1 - sqrt(5/2)
Find the mean, median and mode of these sets of data: a. 14,12,24,36,23 c. 2,3,4,5,30 b. 114,112,124,136,123 d. x, 2x,3x,4x,5x
prisoha [69]
Answer:
first u need to rearrange the three sets of data in ascending order
i'll just do a set here as an example
a: 12, 14, 23, 24, 36
Mean: (12+14+23+24+36)/5 = 21.8
Median: 23
Mode: 0 (as none of the datum is repetitive)
Answer:
A
Step-by-step explanation:
At the vertex, the quadratic term in this notation must be zero, i.e., the (x-1) part. This happens for x=1. So you can already rule out answers C and D.
Now fill in x=-2 in both remaining answers and see what happens.
For A: y = -2(-2 - 1)² + 3 = -15
For B: y = (-2 - 1)² + 3 = 12
That eliminates B and leaves A.
Answer:
$51.75
Step-by-step explanation:
percentage of tip times cost of meal= tip
tip plus cost of meal is the formula
15%×$45.00=$6.75
$6.75+$45.00= $51.75
Answer:
Option D
Step-by-step explanation:
If two triangles are said to be congruent then they have exactly the same three sides and the same three angles.
Since the option D indicates that all the three sides are equal (represented as SSS), Hence, it is the right answer
