Which expression is equivalent to (3 squared) Superscript negative 2?

May someone please help me out with this problem? May you also explain it?

gavmur [86]

Answer:

Step-by-step explanation:

Given function is,

f(x) = $\sqrt{x}$

If the given function is vertically stretched by a scale factor of $\frac{3}{2}$ Or 1.5,

Transformed function will be,

h(x) = $\frac{3}{2}[f(x)]$

h(x) = $\frac{3}{2}(\sqrt{x})$

Further function 'h' is shifted 1 units upwards,

g(x) = h(x) + 1

g(x) = $\frac{3}{2}(\sqrt{x} )+1$

Domain of the function → x ≥ 0 Or [0, ∞)

Range of the function → y ≥ 1 Or [1, ∞)

Transformations done → Parent function f(x) is vertically stretched by a scale factor of $\frac{3}{2}$ then shifted 1 unit upward.

3 0

3 years ago

Sum of 7 7/8 + 2 11/12

dlinn [17]

Solutions

1) Add the whole numbers first ( 7 and 2 )

9+7/8+11/12

2) Find the Least Common Denominator (LCD) of

7 / 8,11 / 12

Start by Listing Multiples

List out all multiples of each denominator, and find the first common one.

8 : 8,16,24

12 : 12,24

Therefore, the LCD is 24

Method 2: By Prime Factors

List all prime factors of each denominator, and find the union of these primes.

8 : 2,2,2

12 : 2,2,3

Therefore, the LCD is 2×2×2×3=24

3) Make the denominators the same as the LCD

9+7×3 / 8×3+11×2 / 12×2

4) Simplify. Denominators are now the same

9+21 / 24+22 / 24

5) Join the denominators

9+21+22 / 24
6) Simplify

9+43 / 24

7) Convert 43 / 24 to mixed fraction

9+1 19 / 24

8) Simplify

10 19 / 24

4 0

4 years ago

The following table lists the masses, in grams, of the nine planets (including dwarf planet Pluto). Use the data to choose the c

Marrrta [24]

The ratio between the masses of Jupiter and Venus is

$\dfrac{1.989\cdot 10^{30}}{4.869\cdot 10^{27}}$