Answer:
17.9°
Step-by-step explanation:
From trigonometry:
Opposite = 14
Adjacent = x
theta = 38°
hence;
tan theta = opposite/ adjacent
tan38° = 14/x
x = 14/tan38°
x = 17.9°
In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).
Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.
Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.
x = -3 because x is smaller than or greater than -3 but not equal.
x = 3 since greater than 3 in one of the inequalities.
x = 5 since x is smaller than 5 in one of the limits.
Answer: 31, 932.74
Step-by-step explanation:
The population of the small town = 39,668
Yearly rate of decline = 1.5%
Therefore, to calculate 1.5% of 39,668 = 1.5 x 39,668
------------------
100
= 595.02
So, the population is declining by 595.02 on yearly basis.
To ascertain what will the population would have declined to in the next 13 years,
We multiply , = 595.02 x 13
=7,735.26
Now population in 13 years = 39,668 - 7,735.26
= 31,932.74
Answer:
y = -4x + 2
Step-by-step explanation:
y = mx + b ( slope-intercept)
1. Find Slope:
Lets name 2 as y2 and 10 as y1. And 0 as x2 and 2 as x1.
= 
= -4
m/slope = -4
2. Find y-intercept:
2 = -4(0) + b
= 2 = b
Y-intercept/b = 2
3. Put into slope-intercept form:
y = mx + b
= y = -4x + 2
Hope that helps! :D
Answer:
a) 
b) 
Step-by-step explanation:
a) We have to simplify the below expression in standard form.
The expression is 
Now,
= 
= 
{Since 
}
= 
= (Answer)
b) We have to simplify the below expression in standard form.
The expression is 
Now,
= 
= 
{Since 
}
= (Answer)
