the larger of two numbers is one more than four times the smallest number. if the sum of the numbers is 106, find the numbers

Mathematics

1 answer:

Rainbow [258]2 years ago

6 0

Let x be the larger number; Let y be the smaller number.

EQUATIONS:

x-2y=1

x+y+20=3x

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Rewrite as

x-2y=1

2x-y=20

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12. Jenna bought books for $3 each and a game for $5. She spent a total of $26. How many books

blondinia [14]

Answer: 7 books

Step-by-step explanation:

Start by subtracting 26 and 5 which gives you 21

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2 years ago

What is the sum of an even number plus an odd number? please explain in detail only please, everyone is saying its always odd, o

Evgen [1.6K]

Answer:

The sum of an even number plus an odd number is odd.

Step-by-step explanation:

The sum of an even number and an odd number is odd.

For example:

2+3=5

11+10=21

51+32=83

The end digit of an even number is always 0, 2, 4, 6, or 8

The end digit of an odd number is 1, 3, 5, 7, or 9.

So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).

Hence, the sum of an even number plus an odd number is odd.

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2 years ago

Solve:<br><br> a.x3+x2-8x - 12x+2<br> b. x3-4x2-3x + 18x-3<br> c. x2 + 4x + 4<br> d. x2 - 6x + 9

NeTakaya

<h2>Steps:</h2>

So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\div \frac{x-3}{x+2}$

Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:

$(\frac{f}{g})(x)=\frac{x^2-x-6}{1}\times \frac{x+2}{x-3}$

Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:

$(\frac{f}{g})(x)=\frac{x^2+2x-3x-6}{1}\times \frac{x+2}{x-3}$