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Aleonysh [2.5K]
3 years ago
13

Find three consecutive odd numbers the product of which is 148 more than the cube of their middle number.

Mathematics
1 answer:
Anna11 [10]3 years ago
3 0

Answer:

   The numbers are -39,-37,-35

Step-by-step explanation:

Let

x-----> the first odd number

x+2----> the middle odd number

x+4---> the third odd number

x(x+2)(x+4)=(x+2)^{3} +148

(x^{2}+2x)(x+4)=(x^{2}+4x+4)(x+2)+148\\x^{3}+4x^{2}+2x^{2}+8x=x^{3}+2x^{2}+4x^{2}+8x+4x+8+148\\x^{3}+6x^{2}+8x=x^{3}+6x^{2}+12x+156\\8x=12x+156\\4x=-156\\x=-39

The numbers are

x=-39

x+2=-39+2=-37

x+4=-39+4=-35

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Help please I’ll give you 45 points
maksim [4K]

Answer:

63 square inches

Step-by-step explanation:

You already have the polgygon divided into two rectangles, so we will use them.

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The bottom rectangle has the dimensions of 6 and 3.

To find the area of a rectangle:

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The area of the top rectangle:

A = 5 x 9

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45 + 18 = 63 square inches

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2 years ago
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S_A_V [24]

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Step-by-step explanation:

6 0
2 years ago
6.) the following function represents the profit P(n) in dollars that a concert promoter makes by selling tickets for n dollars
marissa [1.9K]
For Part A, what to do first is to equate the given equation to zero in order to find your x intercepts (zeroes)

0=-250n^2+3,250n-9,000 after factoring out, we get

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For Part B, you need to square the function from the general equation Ax^2+Bx+C=0. So to do that, we use the equated form of the equation 0=-250n^2+3,250n-9,000 and in order to have a positive value of 250n^2, we divide both sides by -1

250n^2-3,250n+9,000=0

to simplify, we divide it by 250 to get n^2-13n+36=0 or n^2-13n = -36 (this form is easier in order to complete the square, ax^2+bx=c)

in squaring, we need to apply <span><span><span>(<span>b/2</span>)^2 to both sides where our b is -13 so,
(-13/2)^2 is 169/4

so the equation now becomes n^2-13n+169/4 = 25/4 or to simplify, we apply the concept of a perfect square binomial, so the equation turns out like this 

(n-13/2)^2 = 25/4 then to find the value of n, we apply the square root to both sides to obtain n-13/2 = 5/2 and n is 9. This gives us the confirmation from Part A. 

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</span></span></span>
7 0
3 years ago
What is the difference between the predicted value and the actual value
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3 0
3 years ago
A right triangle has legs measuring 4.5 meters and 1.5 meters. The lenghts of the legs of a second triangle are proportional to
Eduardwww [97]
We know that
in the first triangle
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then
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so
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case E) 11.25 m and 3.75 m ------> ratio=11.25/3.75---->3
so
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the answer is
A) 6 m and 2 m
E) 11.25 m and 3.75 m




4 0
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