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snow_tiger [21]
2 years ago
12

3x+3(x+y)3, x, plus, 3, left parenthesis, x, plus, y, right parenthesis

Mathematics
1 answer:
aliina [53]2 years ago
7 0

Answer: =12x+9y

Step-by-step explanation: Hope this help :D

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Using the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor, how would
LiRa [457]
Exactly how it is 21+45
3 0
3 years ago
At the end of 8 years, Anna paid $400 interest for a loan. If the simple annual interest rate was 4%, how much did Anna borrow?
antiseptic1488 [7]

$1250

Use the formula i = prt

In this case, we don't know P or Principal amount

i = 400

r = .04 *found by diving 4/100*

n = 8

Set formula to solve for P like: P= i/r(n)

P=400/.04(8)

P= 400/.32

P = 1250

6 0
3 years ago
Read 2 more answers
The base of an aquarium with given volume V is made of slate and the sides are made of glass. If slate costs five times as much
Y_Kistochka [10]

Answer:

x = ∛ 2*V/5  

y = ∛ 2*V/5

h  = V/ ∛ 4*V²/25

Step-by-step explanation:

Dimensions of the aquarium base is  x*y

We call c₁ cost per unit area of the sides, then cost per unit area of slate is equal 5c₁.

let call h the height of the aquarium then volume of the aquarium is:

V = x*y*h      where   h =  V / x*y

As the base is a rectangular one there are 2 sides x*h .  and 2 sides  y*h

According to this:

Ct (cost of aquarium )  = cost of the base  + cost of the sides

cₐ  ( cost of the base) = 5*c₁*x*y

c₆ (cost of the sides ) = c₁*2*x*h   +   c₁*2*y*h

C(t)  =  5*c₁*x*y +2* c₁*x* V/x*y  +  2* c₁*y* V/x*y    or

C(t)  =  5*c₁*x*y  + 2*c₁*V/y   *2*c₁* V/x

Taking partial derivatives en x and y we have:

C´(x)  =  5*c₁*y - 2*c₁*V/x²

C´(y)  =  5*c₁*x - 2*c₁*V/y²

C´(x)  = C´(y)        ⇒  5*c₁*y - 2*c₁*V/x²  =   5*c₁*x - 2*c₁*V/y²

or    5*y - 2*V/x²  =   5*x - 2*V/y²

(5*y*x² - 2*V)/x²  = ( 5*y²x - 2*V) /y²

(5*y*x² - 2*V)*y²  = ( 5*y²x - 2*V)*x²

5*y³*x² - 2*V*y²  =  5*y²x³  - 2*V*x²

5*y³*x² - 5*y²x³  =  2*V * ( y² - x²)

by symmetry  x =  y

Then using x = y  and plugging that value on the derivatives

C´(x) =  5*c₁*y - 2*c₁*V/x²

C´(x) =  5*c₁*x - 2*c₁*V/x²

C´(x) = 0          ⇒     5*c₁*x - 2*c₁*V/x²  = 0

5*x  - 2*V/x² = 0      ⇒  5*x³ - 2*V = 0   ⇒   5*x³  = 2*V  ⇒ x³ = 2*V/5

x = ∛ 2*V/5       and   y = ∛ 2*V/5    and   h  =  V/ x*y    h  = V/ ∛ 4*V²/25

7 0
3 years ago
Which lines best approximate the directrices of the ellipse? Round to the nearest tenth.
Mrrafil [7]

C aka  y = -4.6 and y = 4.6

Step-by-step explanation:

i just took the unit review test on edg. :)

6 0
2 years ago
WILL GIVE BRAINLIEST find the equation of the axis of symmetry for the parabola y= -x^2-5x
timama [110]

Answer:

The axis of symmetry is -\frac{5}{2}.

  1. Check the degree of your polynomial
  2. Plug your numbers into the axis of symmetry formula
  3. Write down the equation of the axis of symmetry

Please Mark Brainliest If This Helped!

6 0
2 years ago
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