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Oksi-84 [34.3K]
3 years ago
7

The product of two consecutive odd integers is 72. Write a quadratic equation to find the integers,

Mathematics
1 answer:
zimovet [89]3 years ago
5 0

<u>Answer:</u>

x^2 + x - 72 = 0

<u>Explanation:</u>

We are given product of two consecutive odd integers is equal to 72.

Let one integer be x , then since these are consecutive and odd so the other integer will be equal to x + 1.  

Their product is equal to 72. So,

x * (x + 1) = 72

=> x^2 + x = 72

=>  x^2 + x - 72 = 0 is the required quadratic equation.

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Math help- 14 points!
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yeah he is right the answer is the photo

Step-by-step explanation:

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3 years ago
Solve the system of equations
IceJOKER [234]
<h3>Answer:</h3>

c) there are infinitely many solutions

<h3>Explanation:</h3>

Add x to the <em>first equation</em> to put it in standard form:

... x + y = 3

Divide the <em>second equation</em> by the common factor of all terms, 2, to put it in standard form:

... x + y = 3

These two equations describe the same line. Every point on the line is a solution to both equations, so there are infinitely many solutions. (We say these equations are "dependent.")

3 0
3 years ago
The running trail in the local park is 2.826 miles long. If the park board were planning to extend the trail by 1.46 miles, what
____ [38]
The problem consists in finding the new length of a running trail knowing the original length and the extension required. So the new length will be equal to original length + extension. New length = 2.826 miles + 1.46 miles = 2.826 miles + 1. 460 miles (I added a 0 in the place of the thousandths for the second summand to make clear the sumation) = 4.286 miles. Then<span> the answer is 4.286 miles.</span>
3 0
3 years ago
Jerry is 8 years younger than Patricia. Six years ago, Patricia was 3 times as old as Jerry was then. Which system of equations
MissTica
<span>Jerry is 8 years younger than Patricia, so: (1): Jerry = Patricia - 8 Six years ago, Patricia was 3 times as old as Jerry was then, so: (2): (Patricia - 6) = (Jerry - 6)*3 Putting equation 1 in to equation 2 (Patricia - 6) = (Patricia - 8 - 6)*3 Patricia - 6 = 3Patricia - 42 36 = 2Patricia Patricia = 18 And so Jerry = 10</span>
4 0
3 years ago
WILL MARK BRAINLIEST IF CORRECT❤️❤️<br> Simplify the expression -5+i/2i<br> Step by step
zhenek [66]

Answer:

For complex numbers,

a + bi and a - bi

they have the interesting property that if you add them you get the real number 2a

and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2

But since i^2 = -1, we end up with a real number as a product.

e.g. 6 - 5i and 6 + 5i are conjugates of each other

sum = 6-5i + 6+5i = 12

product = 36 - 25i^2

= 36 -(-25) = 61

Your question is even easier, since the denominator is a monomial instead of a binomial, so we just have to multiply by i/i

Also I believe, according to the answer, that you have a typo, and you meant

(-5+i)/(2i)

= (-5+i)/(2i) *i/i

= (-5i + i^2)/2i^2)

= (-5i +i^2)/-2

= (-5i - 1)/-2

= (1 + 5i)/2 or they way they have it: 1/2 + 5i/2

5 0
2 years ago
Read 2 more answers
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