Answer:
r=2
Step-by-step explanation:
r + 11 + 8r = 29
add the like terms
r+8r+11=29
9r+11=29
then subtract 11 on both sides to eltimate 11
9r=18
lastly divide 9 on both sides
r=2
Answer:
{-5, -2}
Step-by-step explanation:
In a case like this please use parentheses to remove ambiguities. If I were to take your "x+5/x+2" literally, I'd have to write x plus 5/x plus 2.
I suspect that you actually meant (x + 5) / (x + 2), and will start with that.
First of all, this function is not defined at x = -5 or at x = -2. Thus, -5 and -2 are critical points.
Secondly, there may be one or more critical points beyond this. To find out, we have to differentiate (x+5)/(x+2):
(x + 2)(1) - (x + 5)(1)
f '(x) = ------------------------------
(x + 2)
Here it's clear that x cannot = -2, which would cause division by zero.
Thus, our critical values are {-5, -2}.
Answer:
the correct answer is option C) 0
Hope that helps! :)
Answer:
3:9:24
Step-by-step explanation:
Answer:
The expressions which equivalent to
are:
⇒ B
⇒ C
Step-by-step explanation:
Let us revise some rules of exponent
Now let us find the equivalent expressions of 
A.
∵ 4 = 2 × 2
∴ 4 = 
∴
=
- By using the second rule above multiply 2 and (n + 2)
∵ 2(n + 2) = 2n + 4
∴
=
B.
∵ 4 = 2 × 2
∴ 4 = 2²
∴
= 2² ×
- By using the first rule rule add the exponents of 2
∵ 2 + n + 1 = n + 3
∴
=
C.
∵ 8 = 2 × 2 × 2
∴ 8 = 2³
∴
= 2³ ×
- By using the first rule rule add the exponents of 2
∵ 3 + n = n + 3
∴
=
D.
∵ 16 = 2 × 2 × 2 × 2
∴ 16 = 
∴
=
×
- By using the first rule rule add the exponents of 2
∵ 4 + n = n + 4
∴
=
E.
is in its simplest form
The expressions which equivalent to
are:
⇒ B
⇒ C