Answer:
a =1 and a=4.
Step-by-step explanation:
The function is

If we want f(x) to be continuous the denominator needs to be different to 0, otherwise f(x) will be indeterminate.
Now, for a a positive real we have that
will annulate the denominator, i.e
. But, if a = 1 we have:

so, the value
won't annulate the denominator.
Now, for a = 4 we have:

so, the value
won't annulate the denominator.
In conclusion, for a=1 or a=1, the function will be continuos for all real numbers, since the denominator will never be 0.
The answer has to resemble y=Mx+b so to find your y intercept plug in your coordinates into that equation so put your slope in for m and your x intercept in for x and the y intercept in for y so -4= -3(-1)+b now get b alone -1=b so your equation would be y=-3x-1
Answer:
The volume of the smaller solid is 72 cm.
Step-by-step explanation:
Given that two similar solids have surface areas of 48cm and 108cm respectively, to find the volume of the smaller solid if the bigger one has a volume of 162cm the following calculation must be performed:
108 = 162
48 = X
48 x 162/108 = X
7776/108 = X
72 = X
Therefore, the volume of the smaller solid is 72 cm.
Answer:
-5
Step-by-step explanation:
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Answer:
Explanation:
You just need to find the ratio of lengths of one of the sides and apply it to the unknown side:
72
24
=
3
This means that the triangle on the right has sides that are 3 times the length of the smaller triangle.
x
7
=
3
x
=
21
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