Answer:
y = -5/4x -8
Step-by-step explanation:
There is a y-intercept of -8
There is a slope of -5/4
Answer:
See attached image for the graph of the function
Step-by-step explanation:
Notice that this is the product of a power function (
) times the trigonometric and periodic function cos(x). So the zeros (crossings of the x axis will be driven by the values at which they independently give zero. That is the roots of the power function (only x=0) and the many roots of the cos function:
, and their nagetiva values.
Notice that the blue curve in the graph represents the original function f(x), with its appropriate zeros (crossings of the x-axis), while the orange trace is that of "-f(x)". Of course for both the zeroes will be the same, while the rest of the curves will be the reflection over the x-axis since one is the negative of the other.
A and b are legs
a^2+b^2=c^2
lets say
a>b
so
a=13+3b
c=14+3b
a^2+b^2=c^2
(13+3b)^2+b^2=(14+3b)^2
9b^2+78b+169+b^2=9b^2+84b+196
10b^2+78b+169=9b^2+84b+196
minus 9b^2 both sides
b^2+78b+169=84b+196
minus 84b both sides
b^2-6b+169=196
minus 196 both sides
b^2-6b-27=0
factor
(b+3)(b-9)=0
set to zero
b+3=0
b=-3, false, dimentions cannot be negative
b-9=0
b=9
shorter leg is 9
a=13+3b
a=13+3(9)
a=13+27
a=40
c=14+3b
c=14+27
c=41
side legnths are
9in, 40in, 41in
Answer:
Step-by-step explanation:
(2x-5)(x+2)
roots are 5/2 and -2
Answer:
Domain means all the numbers that the function passes on the x-axis. for example, when you have a straight line horizontally without stopping, your domain is ∞ since it passes every number on the x axis. The same applies to the y-axis, but now it's every number that passes the y-axis of up and down. A straight line going up and down
without stopping has a range of ∞