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atroni [7]
3 years ago
7

How many solutions does the following equation have?

Mathematics
2 answers:
sammy [17]3 years ago
8 0
I believe that the answer is
a. No solutions

zaharov [31]3 years ago
5 0
C because the variable was not stated it's values
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The area of a rectangular piece of cardboard is represented by
Liula [17]

This question is solved applying the formula of the area of the rectangle, and finding it's width. To do this, we solve a quadratic equation, and we get that the cardboard has a width of 1.5 feet.

Area of a rectangle:

The area of rectangle of length l and width w is given by:

A = wl

w(2w + 3) = 9

From this, we get that:

l = 2w + 3, A = 9

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}

x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}

\Delta = b^{2} - 4ac

In this question:

w(2w+3) = 9

2w^2 + 3w - 9 = 0

Thus a quadratic equation with a = 2, b = 3, c = -9

Then

\Delta = 3^2 - 4(2)(-9) = 81

w_{1} = \frac{-3 + \sqrt{81}}{2*2} = 1.5

w_{2} = \frac{-3 - \sqrt{81}}{2*2} = -3

Width is a positive measure, thus, the width of the cardboard is of 1.5 feet.

Another similar problem can be found at brainly.com/question/16995958

5 0
3 years ago
Find the smallest integer n for an O(xn) estimate of order of the function f(x)
alexdok [17]

Answer with explanation:

f(x)=\frac{(x^3+x^2+5)(x^4-3x^2)}{(2x^2+2x-3)(4x^2+7)}\\\\f(x)=\frac{x^3\times (x^4-3x^2)+x^2 \times (x^4-3x^2)+5 \times (x^4-3x^2)}{2x^2\times (4x^2+7)+2x(4x^2+7)-3\times (4x^2+7)}\\\\f(x)=\frac{x^7-3x^5+x^6-3x^4+5x^4-15x^2}{8x^4+14x^2+8x^3+14 x-12x^2-21}\\\\f(x)=\frac{x^7+x^6-3x^5+2x^4-15x^2}{8x^4+8x^3+2x^2+14 x-21}

The largest degree of numerator is 7 , while the largest degree of denominator is 4.So, as we know

 \frac{x^a}{x^b}=x^{a-b}\\\\\frac{x^7}{x^4}=x^{7-4}\\\\=x^3

→So, order of the function is the highest degree in the function raised to power.Highest degree is 3,when you will reduce the function in Expression form.

So, Degree=3

Order=1

6 0
4 years ago
Help plz and thx for your help
Bumek [7]

9514 1404 393

Answer:

  Dawn has $1670 in account 1 and $1570 in account 2.

Step-by-step explanation:

Dawn can multiply the second equation by 8 and add 7 times the first equation.

  8(3/8A +7/8B) +7(A -B) = 8(2000) +7(100)

  10A = 16,700

  A = 1670

  B = 1570 . . . . 100 less than A

Dawn has $1670 in account 1 and $1570 in account 2.

__

<em>Check</em>

  3/8(1670) +7/8(1570) = 626.25 +1373.75 = 2000

3 0
3 years ago
Use the algebra tiles to help you solve the equation 3x-2=13.
dsp73
Its 5 because if u do 3x 5 it equals 15 then subtract 2 it gives u 13
5 0
3 years ago
Read 2 more answers
How to turn 2.96 into a mixed number
Alex Ar [27]
First, isolate the decimal. second, put it over the correct denominator based on the decimal place:   96/100.  Next, divide by a number that goes into both 96 and 100. 4 works.... 24/25. And that is your answer, after you add the original 2 back: 2 \frac{24}{25}
6 0
3 years ago
Read 2 more answers
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