The function g(x) has a greater slope and the function f(x) has a greater y-intercept
<h3>How to compare the slopes?</h3>
The function is given as:
Function f(x)
x f(x)
-1 -6
0 -3
1 0
g(x) = 4x - 5
The slope of f(x) is calculated using:
This gives
Evaluate
m = 3
By the general format of a linear equation, the slope of the function g(x) is:
m = 4
4 is greater than 3
Hence, the function g(x) has a greater slope
<h3>How to compare the y-intercepts?</h3>
This is when x = 0
For the function f(x), we have:
f(0) = -3
For the function g(x), we have:
g(0) = 5-
-3 is greater than -5
Hence, the function f(x) has a greater y-intercept
Read more about linear functions at:
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Y+2x=24
product is max
xy=max
we have
y+2x=24
minus 2x both sides
y=24-2x
sub that for y in xy=max
(24-2x)(x)=max
-2x^2+24x=max
we have a parabola opening down
the coordinates of the vertex is our answer
the x value of the vertex is -b/2a where
ax^2+bx+c=y
-24/2(-2)=-24/-4=6
xvalue=6
we can just sub
y=24-2x
y=24-2(6)
y=24-12
y=12
the numbers are 6 and 12
the product is 72
the numbers are 6 and 12
Answer:
Mars is the fourth planet from the sun. It has been a favorite object of skywatchers for centuries and of space explorers for decades. The distance to Mars depends on when you measure it, and which vantage points you're considering. Just how far away is the Red Planet?
Hope this helps!
Answer:
47.45754235
31.46697634
Hey do you need to show your work for these? I found an answer key
Step-by-step explanation:
We need to use law of cosines
c²=a²+b²-2abcos(C)
let x= angle xzy
plugging in what we have the equation looks like
17²=22²+20²-2*22*20*cos(x)
289=484+400-880cos(x)
.676136364=cos(x)
x=47.45754235
b.)
The smallest angle should be opposite to the smallest side
Using the law of cosines again we get
9²=13²+17²-2*13*17*cos(x)
81=458-442cos(x)
.852941176=cos(x)
x=31.46697634
It's rational
Rational numbers are numbers that you can put into the form of a/b.
