To solve hg = 45g

Apply Multiplication Property of Equality which is to multiply both sides of the equation with 1/g.

hg (1/g) = 45g (1/g)
   h = 45

Or you can divide both sides with the equation with g.

   hg / g = 45g / g

You can cancel g to both sides.
Then,
   h = 45

4 0

3 years ago

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation

Andrej [43]

Answer:

$5x= 15$

Step-by-step explanation:

Given

$3x - 5 = -2x +10$

Required

Write the variables and constants on different sides

$3x - 5 = -2x +10$

Add 2x to both sides

$2x + 3x - 5 =2x -2x +10$

$5x - 5 =10$

Add 5 to both sides

$5x - 5 + 5 = 10 + 5$

$5x= 10 + 5$

$5x= 15$

Hence, the equation is

$5x= 15$

Solving further [divide both sides by 5]

$x = 3$

3 0

3 years ago

For the polynomial function ƒ(x) = x4 − 12x3 + 46x2 − 60x + 25, find all local and global extrema.

rodikova [14]

$\bf f(x)=x^4-12x^3+46x^2-60x+25\\\\
-------------------------------\\\\
\cfrac{df}{dx}=4x^3-36x^2+92x-60\implies 0=4x^3-36x^2+92x-60
\\\\\\
0=x^3-9x^2+23x-15\impliedby \textit{doing some synthetic division with 5}
\\\\\\
0=(x^2-4x+3)(x-5)\implies 0=(x-3)(x-1)(x-5)\\\\
-------------------------------\\\\
\begin{cases}
f(1)=0\leftarrow minimum&1,0\\
f(3)=16\leftarrow maximum&3,16\\
f(5)=0\leftarrow minimum&5,0
\end{cases}\impliedby \textit{3 extrema, locals and globals}$

4 0

3 years ago

Use the diagram and table shown to answer the question.

Sergeu [11.5K]

........................................ 40 ......................................

8 0

3 years ago

Read 2 more answers