Answer:
C) Both functions are decreasing and both are positive on the interval (0;2)
Step-by-step explanation:
As known the exponent function has no minimum and has no maximum.
Otherwise exponent function can be only or increasing or decreasing for all x.
That means that in case y(x2)>y(x1) and if x2>x1- function is increasing.
That means that in case y(x2)<y(x1) and if x2>x1- function is decreasing.
Lets check what is going on with the function f(x)
If x1=0 f(x1)=24
If x2=2 f(x2)=0
So x2>x1 however f(x2)<f(x1)=> function is decreasing
Similarly g(x)
If x1=0 g(x1)=15
If x2=2 g(x2)=0
So x2>x1 however g(x2)<g(x1) => function is decreasing
So bothfunctions are decreasing.
Because f(x) is decreasing the function meaning with argument x1=0 has max in the interval x∈(0;2) And function meaning has the minimum if argument x2=2. So the function F(x) in interval (0;2) is changing from 24 to 0 => is positive on the interval (0,2)
The same is with g(x) . g(x) gonna be positive on the interval (0;2)
Answer:
Step-by-step explanation:
When given a point and a slope, the best equation to use is the point-slope formula, y - k = m(x - h)
which here becomes:
y - 0 = m(x + 1), or y = (-2/3)(x + 1), or y = (-2/3)x - 2/3
If you want this in standard form, first clear the fractions by multiplying all terms by 3: 3y = -2x - 2
Now add 2x to both sides, obtaining: 2x + 3y = -2 (in "standard form."
Answer:
Below in bold.
Step-by-step explanation:
Arrange the data in ascending order:
1. 1 1 2 3 4 7 9
Median = middle number = 3.
Q1 = 1
Q3 = 7.
2. 26 31 34 38 42 66 74 78
Median = mean of 2 middle numbers = 40.
Q1 = 31.
Q3 = 74.
3. 36 45 49 52 53 64 81 87 93
Median = middle number = 53.
Q1 = 47.
Q3 = 84.
Answer:
Ax: x=2y+5
Ay: y= 1/2 x+ -5/2
Bx: x=5/3+8/3
By: y=3/5x+-8/5
Step-by-step explanation:
if you're asking for the intersect solution: (-9,-7)
I hope one of those answers can help you :3
