(f+g) means add the expressions together. combine like terms.
$5 {x}^{2} + 3 {x}^{2} = 8 {x}^{2}$
$- 2x + x = - x$
there is no other constant term so the -4 stays as is.

4 0

3 years ago

Write the point-slope form of an equation of the line through the points (-4, 7) and (5, -3).

Yuki888 [10]

Answer:

y+4=–109(x-7)

please mark as brainliest

8 0

3 years ago

You are planning to make an open rectangular box from aa 4141-in.-by-8181-in. piece of cardboard by cutting congruent squares

marissa [1.9K]

Answer:

13058.83 cubic inches

Step-by-step explanation:

Given that a rectangular box is having dimensions as 41x81 inches.

Let x be the side of square cut from all the four corners.

The open box made would have height as x and length 41-2x with width 81-2x

Volume =

$V(x) = x(41-2x)(81-2x)\\V(x) =x(3321-244x+4x^2)\\V(x) = 3321x-244x^2+4x^3\\V'(x) = 3321-488x+12x^2\\V"(x) = -488+24x\\$

Equate first derivative to 0

We get applicable root as x = 8.642

Max volume = 13058.83 cubic inches

3 0

3 years ago