Answer:
Step-by-step explanation:
2x^+9x=10
2x^2+9x-10=0 is standard form
Answer:
Sₙ = 57/2 * (504 + 896) = 39900
Step-by-step explanation:
first multiple of 7 after 500 is: 72 *7 = 504
last multiple of 7 before 900 is: 128 *7 = 896
a₁ = 504
aₙ = 896
where n = 128-72 +1 = 57
sum of arithmetic sequence: Sₙ = n/2 * (a₁ + aₙ)
Sₙ = 57/2 * (504 + 896) = 39900
Y=29
Set the equations equal to eachother since they're vertical angles and solve.
Answer:
width = 1.8 in
length = 3.6 in
height =
Step-by-step explanation:
A designer is making a rectangular prism box with maximum volume, with the sum of its length, width, and height 8 in
Let l , w and h are the length , width and height

Plug it in the first equation

volume the box is length times width times height

To get maximum volume we take derivatived

set the derivative =0 and solve for w

width = 1.8 in
length = 2w= 3.6 in
height =