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SSSSS [86.1K]
3 years ago
15

Nancy is saving $2from her allowance every week. marco is saving $1 the first week $2 the second week $3 the third week and so o

n. at the end of 10 weeks who would have saved more money?
Mathematics
2 answers:
ZanzabumX [31]3 years ago
7 0
Nancy would have $20 because $2x10=$20
Marco would have $55 add up 10+9+8+7+6+5+4+3+2+1=$55

so at the end of ten weeks Marco has the most. 
kondaur [170]3 years ago
3 0
If we assume that Nancy continues saving $2 from her allowance every 2 weeks, we know that it can be represented as:

2x10=20

This means at the end of 10 weeks, Nancy will have $20.

However, for Marco, as the weeks go up, He saved one more dollar. This can be represented as:

1+2+3+4+5+6+7+8+9+10=55

This means that at the end of 10 weeks, Marco will have $55.

At the end of 10 weeks, Marco will have saved more money than Nancy. 

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3 years ago
how do you rewrite : y=x^2-5x+9 in standard form using complying the square? I keep getting to : x^2-5x-25/4 but I’m not allowed
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I presume with this you meant to say you want this equation in <u>general form</u>, also known as vertex form, which is y = a(x - h)² + k, instead of <u>standard form</u>, which is y = ax² + bx + c, which is what the original equation is already in.

So with completing the square, you first have to isolate the x-terms. To do this, subtract 9 on both sides of the equation:

y-9=x^2-5x

Next, we want to make the right side of the equation a perfect square. To find the constant of this soon-to-be perfect square, divide the x-coefficient by 2 and square that quotient. In this case:

-5\div 2 = -\frac{5}{2}\\\\(-\frac{5}{2})^2=-\frac{5}{2}\times-\frac{5}{2}=\frac{25}{4}

Now add 25/4 on both sides of the equation:

y-9+\frac{25}{4}=x^2-5x+\frac{25}{4}

Now to combine -9/1 and 25/4, they must have the same denominator, and to find it you must find the LCD, or lowest common denominator, of 1 and 4. To find it, list the multiples of both and the lowest one they share is their LCD. In this case, the LCD is 4. Multiply both sides of -9/1 by 4/4 and then add the numerators up:

-\frac{9}{1}\times \frac{4}{4}=-\frac{36}{4}\\\\-\frac{36}{4}+\frac{25}{4}=-\frac{11}{4}\\\\y-\frac{11}{4}=x^2-5x+\frac{25}{4}

Next, we need to factor the right side of the equation. Using this format of a^2-2ab+b^2=(a-b)^2 , we can factor it as:

y-\frac{11}{4}=(x-\frac{5}{2})^2

Now lastly, add both sides by 11/4, and <u>your final answer will be y=(x-\frac{5}{2})^2+\frac{11}{4}</u>

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4 years ago
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