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MA_775_DIABLO [31]
4 years ago
13

Using the equation (x)(x + 2) = 255 find two consecutive odd integers with a product of 255.

Mathematics
2 answers:
grin007 [14]4 years ago
8 0
(x)(x+2) = 255
x² + 2x - 255 = 0
x² -15x + 17x - 255 = 0
x(x-15) 17(x-15) = 0
(x+17)(x-15) = 0
x = -17 Or x = 15

-17 is rejected 'cause it is negative. So, one number of 15, 
other 15 +2 = 17

In short, Your Numbers are 15 & 17

Hope this helps!

Scrat [10]4 years ago
6 0
X*(x+2) = 255 
<span>x^2 + 2x = 255 </span>
<span>x^2 + 2x - 255 = 0 </span>

<span>Solve for x: </span>
<span>(x+15)(x-17)=0 </span>

<span>One solution is x = -17 and (x+2) = -15 </span>
<span>The other solution is x = 15 and (x+2) = 17</span>
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Step-by-step explanation:

y=-4+15

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y=1.1×10¹

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3 years ago
Find the axis of symmetry of f(x)=2x^2-8x+10
BaLLatris [955]
The correct answer is 0,10
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3 years ago
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Mariana [72]

Answer:

11 2/3

Step-by-step explanation:

2 1/3 * 5

Change the mixed number to an improper fraction

2 /13 = ( 3*2+1)/3  = 7/3

7/3 * 5/1

35/3

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8 0
3 years ago
Read 2 more answers
Which equation is equivalent to 16 Superscript 2 p Baseline = 32 Superscript p 3?.
Mrac [35]

The equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

2^{8p}=2^{5p+15}

<h3>What is equivalent equation?</h3>

Equivalent equation are the expression whose result is equal to the original expression, but the way of representation is different.

Given information-

The given equation in the problem is,

16^{2p}=32^{p+3}

Write both the equation in the form of same base number as,

(2^4)^{2p}=(2^5)^{p+3}

The power of the power of a number can be written as product of both the numbers. Thus,

(2)^{4\times2p}=(2)^{5\times(p+3)}\\2^{8P}=2^{5P+15}

This is the required equation.

Now if the base is the same at both side of the expression, then the powers can be compared. Thus,

8p=5p+15

Solve it further to find the value of p as,

8p-5p=15\\3p=15\\p=5

Thus the equation which is equivalent to 16 Superscript 2 p Baseline equal to 32 Superscript p 3 is,

2^{8p}=2^{5p+15}

Learn more about the equivalent expression here;

brainly.com/question/2972832

7 0
2 years ago
Please help!! (please don’t reply if you’re just going to say “ don’t know “ etc please and thank you)
Nastasia [14]

Answer:

a = -1 , b = 4 , c = 3 , d = 1

Step-by-step explanation:

The general rules of exponent:

1) \ a^m * a^n = a^{m+n}\\2) \ a^m / a^n = a^{m-n}\\3) (-1)^m = 1 \ (if \ m \ is \ +) and \ = \ -1 \ (if \ m \ is \ -)

===================================================

Given:

(-xy)^3 (xz) =ax^by^cz^d

The right hand side = (-xy)³ (xz) = (-1)³ x³ y³ x z = (-1) x⁴ y³ z

Comparing the right hand side with the left hand side

∴ a = -1

∴ b = 4

∴ c = 3

∴ d = 1

8 0
3 years ago
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