Answer:
D. 15
Step-by-step explanation:
3x-10=2x+5
to solve subtract 2x from both sides
(3x - 2x) - 10 = 2x + 5 - 2x
add 10 to both sides
x -10 + 10 = 5 + 10
x = 15
Answer:
(x+1 )- (x-2) ≠ -1
Step-by-step explanation:
Answer:
Step-by-step explanation:
For shifted down a function you have to follow the next structured:
In our case is:
Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:
In our case is:
Maybe you can think, why 5 and not 
instead?. Well, when you multiply by this dilate or stretch the graft because the output of each value is smaller, example:
Then evaluate for a number, for example 5:
the output of 
is 5 steps a far from the answer of 
this in a graph is illustrate as a stretching.
So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".
So combine the two transformation and get
Answer:
1. 18 (sqrt21 - sqrt2a)
2. 3
3. x^m/n
4. (5x^4√10)/(√2x)
5. x = -2 or -6
6. x = 30
Step-by-step explanation:
Number 1
3^3sqrt21 - 6^3sqrt2a
3 * 6 * sqrt21 - sqrt2a
18 (sqrt21 - sqrt2a)
Number 2
3^1/2 * 3^1/2 =
3^1/2+1/2 =
3^1 =
3
Number 3
^nsqrtx^m =
x^m/n
Number 4
(√250x^16)/(√2x) =
(√25 * 10 * x^16)/√(2x )=
(5x^4√10)/(√2x)
Number 5
√2x + 13 - 5 = x
√2x + 13 = x + 5
square both side to take away the sqrt sign
(√2x + 13)^2 = (x + 5)^2
expand the equation on the RHS
2x + 13 = x(x+5) + 5(x+5)
2x+13 = x^2 + 10x +25
substract 13 from both sides
2x = x^s + 10x +12
subtract 2x from both sides
0 = x^2 +8x + 12
Factorize equation
x^2 + 6x +2x + 12 = 0
x(x+6) + 2(x+6) = 0
(x+2)(x+6) = 0
x = -2 or -6
Number 6
3 ^5sqrt(x+2)^3 + 3 = 27
subtract 3 from both sides
3 ^5sqrt(x+2)^3 = 27 - 3
3 ^5sqrt(x+2)^3 = 24
divide through by 3
^5sqrt(x+2)^3 = 8
square both sides by 5 to take away the 5th root sign
(x+2)^3 = (8)^5
(x+2)^3 = 32,768
take the cube root of both sides to take away the ^3
x+2 = ^3sqrt 32,768
x+2 = 32
x = 32 - 2
x = 30
