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nydimaria [60]
3 years ago
11

After a 10% discount it became $450?

Mathematics
1 answer:
REY [17]3 years ago
7 0
0.9x = 450
x = 450/0.9
x = 500

Answer = 500
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X=-4 +6+ (11 +4(-3))
lapo4ka [179]

Answer:

x=1

Step-by-step explanation:

x = -4 + 6 + (11 + 4(-3)).

First get the numbers in the parentheses

x = -4 + 6 + (11 - 12)

Since 11 - 12 = -1. We can replace (11-12) with -1

x = -4 + 6 -1

Now add and subtract

x = 1

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2 years ago
Choose the answer that best describes the graph.
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Shipping rates for Company A and Company B are shown in the tables below. Which company has shipping rates that you can represen
Vikentia [17]

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3 years ago
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Nu is designing a rectangular sandbox.The bottomm is 16 square feet.Which dimensions require the least amount of materail for th
zzz [600]

Given Information:  

Area of rectangle = 16 square feet

Required Information:  

Least amount of material = ?

Answer:

x = 4 ft and y = 4 ft

Step-by-step explanation:

We know that a rectangle has area = xy and perimeter = 2x + 2y

We want to use least amount of material to design the sandbox which means we want to minimize the perimeter which can be done by taking the derivative of perimeter and then setting it equal to 0.

So we have

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p = 2x + 2y

put the value of y into the equation of perimeter

p = 2x + 2(16/x)

p = 2x + 32/x

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d/dt (2x + 32/x)

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set the derivative equal to zero to minimize the perimeter

2 - 32/x² = 0

32/x² = 2

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put the value of x into equation xy = 16

(4)y = 16

y = 16/4

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So the dimensions are x = 4 ft and y = 4 ft in order to use least amount of material.

Verification:

xy = 16

4*4 = 16

16 = 16 (satisfied)

7 0
3 years ago
Solve for x: x^4 = 3^x
sveticcg [70]
There are no algebraic methods for finding solutions to a general mix of exponential and polynomial terms. A graphing calculator can be helpful.

This equation has 3 real solutions, approximately ...
  x ∈ {-0.802246431546, 1.51677641228, 7.17475582739}

_____
In the folder "iteration for solutions" is an equation for Newton's method iteration, essentially, ...
  g(x) = x -f(x)/f'(x)
where f(x) is defined as shown in the picture.

Many graphing calculators can compute a numerical derivative, so you can essentially write the formula in this form without having to do the derivative-taking yourself. This calculator is nicely interactive, so the iteration result is produced at the same time the argument for g(x) is entered. Essentially, you write the answer by copying the answer using the 4-digit zero-crossing values shown on the graph as the iteration starting point.

5 0
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