A line that contains the point (0,4) if the slope of the line is m=5 write the equation of the line using slope intercept form
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Answer:
27 and 32.
Step-by-step explanation:
Let the two numbers be A and B.
The larger number (let's use B) is 5 more than the smaller one (A). In other words:
Their sum is 59. So:
This is a system of equations. Solve by substituting the first equation into the second. Thus:
Combine like terms:
Subtract 5 from both sides:
Divide both sides by 2:
So, the smaller number is 27.
This means that the bigger number is 27+5=32.
So, the two numbers are 27 and 32.
And we're done!
The graph of the function 
is parabola with branches going down in the negative direction of y-axis.
The vertex of parabola has coordinates:
Then you can conclude that all x are possible, that means that the dimain is
and the maximum value of y is at the vertex, then the range is ![(-\infty,6]](https://tex.z-dn.net/?f=%28-%5Cinfty%2C6%5D)
.The function is increasing for x<-2 and decreasing for x>-2 (since vertex is the maximum point).
When x=0, y=2.
Hence,
<span>The domain is {x|x ≤ –2} - false.
</span>
<span>The range is {y|y ≤ 6} - true.
</span>
<span>The function is increasing over the interval (–∞ , –2) - true.
</span>
<span>The function is decreasing over the interval (−4, ∞) - false.
</span>
<span>The function has a positive y-intercept - true.</span>
The vertex of parabola has coordinates:
Then you can conclude that all x are possible, that means that the dimain is
When x=0, y=2.
Hence,
<span>The domain is {x|x ≤ –2} - false.
</span>
<span>The range is {y|y ≤ 6} - true.
</span>
<span>The function is increasing over the interval (–∞ , –2) - true.
</span>
<span>The function is decreasing over the interval (−4, ∞) - false.
</span>
<span>The function has a positive y-intercept - true.</span>