Answer:
x-intercept= -4
I could be wrong though
Step-by-step explanation:
Answer:
sin^2(θ)+cos^2(θ)=1
Step-by-step explanation:
We know that the statement above is true because of the Pythagorean identity theorem, which states the aforementioned equation. If you solve the equation for 1 you get the same equation.
To do this first multiply both sides by cos(θ), this gives you (cos^2θ)/1+sinθ = 1-sinθ
Then, multiply both sides by sinθ. This equals cos^θ=1-sin^2θ.
Finally, add sin^2θ to both sides. This equals the final answer of cos^2θ+sin^2θ=1. Which is true.
Answer:
the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
Step-by-step explanation:
Given the data in the question;
mean X" = 86
SD σx = 10
Y" = 76
SD σy = 8.2
r = 0.6
Here, Exam 2 is dependent and Exam 1 is independent.
The Regression equation is
y - Y" = r × σy/σx ( x - x" )
we substitute
y - 76 = 0.6 × 8.2/10 ( x - 86 )
y - 76 = 0.492( x - 86 )
y - 76 = 0.492x - 42.312
y = 0.492x - 42.312 + 76
y = 0.492x + 33.688
Hence, the slope of the regression equation for predicting our Exam 2 scores from Exam 1 scores is 0.492
And the y-intercept of the regression equation for predicting our Exam 2 scores from Exam 1 is 33.688
Let x = first plane's speed.
We have the equation:
2 hours * x km/h + 1.5 hours * (x+60) km/h = 3135 km.
3.5 hours*x km/h + 90 km = 3135km
3.5hours*x km/h = 3045km
x = 870 km/h.
The first plane is traveling at 870 km/h, therefore since it is 60 km/h faster, the second plane is traveling at 930 km/h.
Answer with Step-by-step explanation:
We are given that a function

We have to find the graph of the given function.
y-intercept:It is that value of y where the graph cut the y- axis.
Let

Substitute x=0
Then, we get

y-intercept of the graph=-15
x- intercept: It is that value of x where the graph cut the x- axis.
Substitute y=0

Substitute x=-1

Therefore,x=-1 is a solution of given equation.





Hence, the x-intercept are
-3,-1 and 5