Answer:
c: is the answer 2 (3 x + 4) (x + 2)
Step-by-step explanation:
Factor the following:
6 x^2 + 20 x + 16
Factor 2 out of 6 x^2 + 20 x + 16:
2 (3 x^2 + 10 x + 8)
Factor the quadratic 3 x^2 + 10 x + 8. The coefficient of x^2 is 3 and the constant term is 8. The product of 3 and 8 is 24. The factors of 24 which sum to 10 are 4 and 6. So 3 x^2 + 10 x + 8 = 3 x^2 + 6 x + 4 x + 8 = 2 (3 x + 4) + x (3 x + 4):
2 2 (3 x + 4) + x (3 x + 4)
Factor 3 x + 4 from 2 (3 x + 4) + x (3 x + 4):
Answer: 2 (3 x + 4) (x + 2)
The height of the building is 3.27 m
Since the question described free-fall under gravity, we will be using the equation for fall under gravity.
Using v² = u² - 2gh where u = initial velocity of toy = 0 m/s (since it is falls from rest), v = final velocity of toy as it hits the ground = 8 m/s, g = acceleration due to gravity = 9.8 m/s² and h = distance the ball falls = height of building
So, making h subject of the formula, we have
h = -(v² - u²)/2g
Substituting the values of the variables into the equation, we have
h = -(v² - u²)/2g
h = -[(8 m/s)² - (0 m/s)²)/(2 × 9.8 m/s²)
h = -(64 m²/s² - 0 m²/s²)/(2 × 9.8 m/s²)
h = -64 m²/s²/19.6 m/s²
h = -3.265 m
h ≅ -3.27 m
The value is negative since we take the top of the building as 0 m and downward direction as negative.
So, the height of the building is 3.27 m
Learn more about free fall here:
brainly.com/question/23180622
Answer:
(A) 1100 and 1300 hours
Step-by-step explanation:
In a normal distribution, we can say that 68% of the values is between the range [µ-σ;µ+σ] with µ = the mean and σ is the standard deviation.
95% of the values are between the range [µ -2σ; µ+2σ] = [1100;1300]
99.7% of the values are between the range [µ -3σ; µ+3σ] = [1050;1350]
To find 75% of the values, we have to use the z-score
for 75% the Z-score = 1.15
This gives the range: [µ -Zσ; µ+Zσ] ⇒ [1200 - 1.15*50;1200+1.15*50] = [1142.5 ; 1257.5]
We can say that at least 75% (or more) is in the range [1100;1300]
Answer:
10. (4,-3) 11. (-3,-2)
Step-by-step explanation:
The left number is x and the right number is y.
So you just need to look for each coordinate and see if the line is touching it.
