Answer:
Step 1: Simplify both sides of the equation.
6(3x−5)−7x=25
(6)(3x)+(6)(−5)+−7x=25(Distribute)
18x+−30+−7x=25
(18x+−7x)+(−30)=25(Combine Like Terms)
11x+−30=25
11x−30=25
Step 2: Add 30 to both sides.
11x−30+30=25+30
11x=55
Step 3: Divide both sides by 11.
x=5
Step-by-step explanation:
So the function is

the intial value is where x=0
where x=0, the value of f(0)=3
grouth is 1/3 but it is decay, so it might be correct, or not because it is decay
it is exponential decay
true it is a stretch of the funciton f(x)=(1/3)^x
when x=3, then f(3)=1/9
the true things are
The function shows exponential decay.
The function is a stretch of the function f(x) = (1/3)x .
For this case we have that by definition, the equation of a line of the slope-intersection form is given by:

Where:
m: It's the slope
b: It is the cut-off point with the y axis
In this case we have the following equation of the line:

Where:

By definition, if two lines are parallel then their slopes are equal. Thus, a parallel line will have an equation of the form:

Substitute the given point
to find "b":

Finally, the equation of the requested line is:

Answer:

Answer:
It should be represented Minutes on the x-axis, and Temperature (°C) on the y-axis, and the axis increment on the x-axis sould be 1, and on the y-axis should be 5
Step-by-step explanation:
Minutes Temperature (°C)
1 -2
2 5
3 10
4 24
5 35
6 22
7 6
8 -8
Answer:
a) 0.35
b) 420 drawing pins
Step-by-step explanation:
a) The question relates to the relative frequency of the pins pointing up which is found by the formula as follows;

The total number of pins land 'point up' = 3 + 5 + 6 + 2 + 4 + 7 + 3 + 3 + 4 + 5
The total number of pins land 'point up' = 42 successful trials
Total number of trials = 12 × 10 = 120 trials

Due to the large number of trials, the relative frequency ≈ Probability and the probability that a single pin will land point up = 7/20 = 0.35
b) Given that the number of trials now = 12 × 100 = 1200, we have;
The expected number of drawing pins in total that would land point up = 0.35×1200 = 420 pins.