Answer:
66°
Step-by-step explanation:
x+114°=180°
x+114°-114°=180°-114°
x=66°
First you would simplify the left side to get,
ln( ( 3x+1 ) / ( 5+x ) ) = ln 2
Then raise both sides as the power of e, so it would basically cancel out the ln's.
3x+1 / 5+x = 2
3x+1 = 2( 5+x )
3x+1 = 10+2x
x = 9
4+1 = 5
5 is the answer but you could also just subtract it a normal way
See attachment for the graph of the piecewise function h(x)
<h3>How to plot the function?</h3>
The function is given as:
h(x) = | -4, x < 3
| x + 5, x >= 3
The above function is a piecewise function.
It has 2 separate functions at two domains
This means that we plot the sub-functions in the piecewise function at their respective domain
See attachment for the graph of the piecewise function h(x)
Read more about piecewise function at:
brainly.com/question/27262465
#SPJ1
Answer:
R = 0.8815 ;
y = 6.14679X + 2.33028 ;
14.624
Step-by-step explanation:
Using an online correlation Coefficient calculator, the correlation Coefficient, R between the number of lawn fertilizer sold and the number of lawn mowers sold is 0.8815. This R value depicts a strong positive correlation between both variables.
The regression line equation obtained by Plotting the values to generate a linear model is :
y = 6.147X + 2.330
With ;
Slope or gradient being 6.147
Intercept = 2.330
C.)
x = 2
y = 6.147X + 2.330
y = 6.147(2) + 2.330
y = 14.624