Help me please. I don’t understand this math. My math teacher is mean. :(((((
2 answers:
Answer:
The height of the given rectangular prism is 5cm.
Step-by-step explanation:
Given that the volume of the rectangular prism is
And length is and width is
That is V=5cm^3[/tex] , and
We have the volume of the rectangular prism V=lwh cubic centimeter
Substituting the values in above formula
Rewritting as below
Therefore the height is 5cm
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Since g(6)=6, and both functions are continuous, we have:
![\lim_{x \to 6} [3f(x)+f(x)g(x)] = 45\\\\\lim_{x \to 6} [3f(x)+6f(x)] = 45\\\\lim_{x \to 6} [9f(x)] = 45\\\\9\cdot lim_{x \to 6} f(x) = 45\\\\lim_{x \to 6} f(x)=5](https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2Bf%28x%29g%28x%29%5D%20%3D%2045%5C%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B3f%28x%29%2B6f%28x%29%5D%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20%5B9f%28x%29%5D%20%3D%2045%5C%5C%5C%5C9%5Ccdot%20lim_%7Bx%20%5Cto%206%7D%20f%28x%29%20%3D%2045%5C%5C%5C%5Clim_%7Bx%20%5Cto%206%7D%20f%28x%29%3D5)
if a function is continuous at a point c, then
,
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since
, f(6) = 5
Answer: 5
if a function is continuous at a point c, then
that is, in a c ∈ a continuous interval, f(c) and the limit of f as x approaches c are the same.
Thus, since
Answer: 5
Answer:
Your answer will be
y=2x-15.5
Step-by-step explanation:
Hi, there you must know the slope-intercept form which is
y=mx+b
m=slope
b=y-intercept
You can also use
the slope formula which is
in this case
it will look like this
=
=-2
So the slope is -2
Now we will find the y-intercept
-7.5=2(4)+b
-7.5=8+b Subtract 8 both sides
-15.5=b
Your y-intercept is -15.5
Hope this helps