Answer:
third option
Step-by-step explanation:
Given
x² + 4x - 4 = 0 ( add 4 to both sides )
x² + 4x = 4
Using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 4 + 4, that is
(x + 2)² = 8 ( take the square root of both sides )
x + 2 = ±
= ± 2
( subtract 2 from both sides )
x = - 2 ± 2
let "a number" = x
(x) + (x + 1) + (x + 2) = 72
Simplify. Combine like terms
3x + 3 = 72
Isolate the x. Note the equal sign. What you do to one side, you do to the other. Do the opposite of PEMDAS.
3x + 3 (-3) = 72 (-3)
3x = 72 - 3
3x = 69
3x/3 = 69/3
x = 69/3
x = 23
23 is the smallest number
hope this helps
Answer:
a) 54 mph to 144 mph
Step-by-step explanation:
We don't know the shape of the distribution, so we use Chebyshev's Theorem to solve this question. It states that:
At least 75% of the measures are within 2 standard deviations of the mean.
At least 89% of the measures are within 3 standard deviations of the mean.
At least eight-ninths of the player's serves.
8/9 is approximately 89%
So
Mean: 99, standard deviation: 15
99 - 3*15 = 54
99 + 3*15 = 144
So the correct answer is:
a) 54 mph to 144 mph
Both measurements are correct if you're rounding the dogs height.
But the more precise measurement would be 11 1/4.
Mainly because its a smaller fraction so it has more meaning to it instead of just plain 11
It would get more precise as the fraction got larger
For example.
Not very precise
11, 11 1/2, 11 1/4,
Precise
11 1/8, 11 1/16
Hope this helps!
Brainliest is always appreciated if you feel its deserved!<span />
Answer:
1. f = -9
2. x = -7
3. x = -9
4. x = -20
5. y = 7.5
Step-by-step explanation:
Hope this helps