Answer:
The coordinates of the science lab is:
x = -14/3 , y = 1
Step-by-step explanation:
∵ P is (-8 , -1) and Q is (2 , 5)
∵ The point of the science lab is (x , y)
∵ The science lab point divided PQ at ratio 2 : 1 from Q (two thirds PQ)
∴ 
∴ 
∴ 
∴ 
∴ The point of science lab = (-14/3 , 1)
Slope =(9+3)/(-2-4) = 12/-6 = -2
Y+3 = -2 (×-4) => y=-2×+5
D is the line asked
Slope: -1/3
D: y-6 = -1/3 (×-3) or y= -1/3× + 7
Answer:
10 percent
Step-by-step explanation:
- Before 1997, people with a minimum FBGL of 140mg/dl were diagnosed as diabetic
- After 1997, people with a minimum FBGL of 126mg/dl were diagnosed as diabetic
- What is the proportion of people who were not considered diabetic before 1997 but are now considered diabetic (after 1997)?
140 - 126 = 14
In percentage, this proportion is = 14/140 × 100
= 10%
Hence, 10% of the people who were not considered diabetic before 1997 are now or will now be considered diabetic.
Answer:
3x(2x^2 +x-1)
Step-by-step explanation:
f(x) = 11x^3 + 3x^2 - 4x + 2,
g(x) = 5x^3 - 7x + 2,
f(x) - g(x) =11x^3+3x^2-4x+2 - (5x^3-7x + 2)=
11x^3+3x^2 -4x+2-5x^3+7x-2=
(11x^3-5x^3)+3x^2+(-4x+7x)+(2-2)=
6x^3 +3x^2 - 3x=
3x(2x^2 +x-1)
The correct answer is 48%
There are 10 even numbers from 1 to 21.
That makes the probability of an even number 10 out 21.
10 / 21 x 100 = 48%