Answer:
-6
Step-by-step explanation:
The average rate of change of a function, f(x), on interval [a,b] is (f(b)-f(a))/(b-a).
So the avereage rate of change of a function, f(x)=x^2+5x+1, on [-9,-2] is
(f(-2)-f(-9))/(-2--9)
(f(-2)-f(-9))/(7)
Stop!
To find f(-2), you replace x in f(x) = x^2 + 5x + 1, with (-2) giving you f(-2)=(-2)^2+5(-2)+1=4-10+1=-6+1=-5.
To find f(-9), you replace x in f(x) = x^2 + 5x + 1, with (-9) giving you f(-2)=(-9)^2+5(-9)+1=81-45+1=36+1=37.
Continue!
(f(-2)-f(-9))/(7)
=(-5-37)/7
=(-42)/7
=-42/7
=-6
Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
Given Points are (8 , 30) and (18 , 60)
here x₁ = 8 and x₂ = 18 and y₁ = 30 and y₂ = 60
We know that the form of line passing through point (x₀ , y₀) and having slope m is : y - y₀ = m(x - x₀)
Here the line passes through the point (8 , 30)
⇒ x₀ = 8 and y₀ = 30
We found Slope(m) = 3
Substituting all the values in the standard form, We get :
Equation of the line : y - 30 = 3(x - 8)
Let d be the x-intercept of this line
⇒ The line passes through the point (d , 0) as at x-intercept, y-coordinate is zero.
⇒ 0 - 30 = 3(d - 8)
⇒ 3d - 24 = -30
⇒ 3d = -30 + 24
⇒ 3d = -6
⇒ d = -2
⇒ The x - coordinate of the x-intercept of the line is -2
Answer:
All pair COMBINATION are supplementary (Opposite)
Step-by-step explanation:
According to theorem about inscribed quadrilateral
- The opposite interior angles of an inscribed quadrilateral are supplementary .
- I.e there sum is equal to 180°
<O+<Q=180
<P+<R=180
Because 20 students are boy and they pick more boys because there are 20 boys students
Answer:
The range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.
Step-by-step explanation:
Hi, to solve this problem you need to calculate the total number of customers that are pleased with the service, based on the 150 people sample.
so:
(72,000 x 103 )÷150 = 49,440
The next step is to calculate the 5% margin of error of that result.
49,440 x 0.05= 2,472
Finally, to obtain the range you need to add and subtract the margin to the total number of customers that are pleased with the service.
49,440-2,472= 46,968
49,440 + 2,472=51,912
So, the range of the number of people that are satisfied is option A. 46,968 to 51,912 customers.
