Answer:
Step-by-step explanation:
x intercepts are -3,-1
f(x)=-(x²+x+3x+3)=-(x²+4x)-3=-(x²+4x+4-4)-3=-(x+2)²+4-3
or f(x)=-(x+2)²+1
vertex is (-2,1)
so it is an inverted parabola with vertex (-2,1) and x-intercepts (-3,0) and (-1,0)
Answer:
3
Step-by-step explanation:
f(x)=a*b^x - is a formula of exponential function
As we know the point (x=0; y=3) lies at the function's graph.
So we have to put in formula f(x)=a*b^x x=0 f(x)=y=3
3=a*b^0 (b^0=1) => 3=a*1 => 3=a
Consider a trapezoid GJKF with:
GH=JH (hypothesis)
FL=KL (hypothesis)
so HL is the median of trapezoid GJKF
so: HL=1/2(2.5+1.2)=1.85
Answer:
d. 690.1 units²
Step-by-step explanation:
1. You can use the Heron's formula to calculate the area of the triangle, which is:

Where:

2. Calculate
:

3. Substitute values into the formula shown above and calculate the area, as following:

4. Therefore, the area is 690.1 units².
Answer:
Women has better study habit than men.
Step-by-step explanation:
For knowing who has better study habits and attitudes toward learning we have to find the mean of both the women and men data.
The first step is that we only take first 18 values of both women(X) and men(Y) data, to make them of same length
Mean is used to measure the central tendency of data which represents the whole data in the best way. It can be found as the ratio of the sum of all the observations to the total number of observations.
Calculating all values:
= 141.0556
= 121.25
Thus, women has better study habit than men. Since Mean of X is larger than Mean of Y.