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3 years ago

I need help on both of these questions 5/12 + 3/5 and 7/9 - 1/2 please

Mathematics

1 answer:

SSSSS [86.1K]3 years ago

3 0

1) u would have to find the lcd of both. And that is 60 so it would be 25/60 +36/60 = 61/60 = 1 1/60

2) do the same thing as in number 1. Find the LCD it is 18. So 14/18 - 9/18 = 5/18

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Assume y=x²+3x+6. what is the avg rate of change of y with respect to x as x changes from -4 to -2

AURORKA [14]

The average rate of change is 3

5 0

3 years ago

Cory writes the polynomial x7 3x5 3x 1. Melissa writes the polynomial x7 5x 10. Is there a difference between the degree of the

bagirrra123 [75]

Degree of a polynomial gives the highest power of its terms. Yes there is a difference between the degrees of sum and difference of the polynomials.

<h3>What is degree of a polynomial?</h3>

Degree of a polynomial is the highest power that its terms pertain(for multi-variables, the power of term is addition of power of variables in that term).

Thus, in $x^3 + 3x^2 + 5$ , the degree of the polynomial is 3 as the highest power in its terms is 3.

(power and exponent are same thing)

<h3>What are like terms?</h3>

Those terms which have same variables raised with same powers.

For example, $x^3$ and $3x^3$ are like terms since variable is same, and it is raised to same power 3.

For example $4x^2$ and $x^3$ are not like terms as the variables are same but powers aren't same.

The given polynomials are:

$c(x) = x^7 + 3x^5 + 3x + 1\\\\p(x) = x^7 + 5x + 10$

Their sum is

$c(x) + p(x) = x^7 + 3x^5 + 3x + 1 + x^7 + 5x + 10 = (1+1)x^7 + 3x^5 + (3+5)x + 11\\\\c(x) + p(x) = 2x^7 + 3x^5 + 8x + 11$

(only like terms' coefficients can be added (or subtracted) for addition or subtraction of them )

The sum's degree is 7

Their difference is:

$c(x) - p(x) = x^7 + 3x^5 + 3x + 1 - x^7 -5x - 10 = (1-1)x^7 + 3x^5 +(3-5)x -9\\\\c(x) - p(x) = 3x^5 - 2x - 9$

Difference's degree is 5

Thus, both's degrees are not same.

Thus, Yes there is a difference between the degrees of sum and difference of the polynomials.

Learn more about subtraction of polynomials here:

brainly.com/question/9351663

4 0

2 years ago

Can someone please help how I could find the square root for 121? Please explain step by step to get marked as brainliest!

navik [9.2K]

Answer:

+ or - 11

Step-by-step explanation:

To find the square root of 121, think of a number that multiplied by itself would get to 121. This number is 11. However, do remember that the number could also be negative 11 bencause a negative times a negative becomes positive. I would advise you to try memorizing the squares of 0 to 15 to help you with this. Otherwise, you can just use a calculator.

Hope this helps! :)

4 0

2 years ago

Two mechanics worked on a car. The first mechanic worked for 5 hours, and the second mechanic worked for 15 hours. Together they

madam [21]

Answer: The mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

Step-by-step explanation:

Let x be the rate of mechanic who worked 5 hours

And y, the rate of mechanic who worked 15 hours

Represent the question in an equation

x + y = 150.............. equation 1

5x + 15y = 1800........equation 2

x + y = 150, x = 150 -y

Substitute the value of x into equation 2 to get y

= 5 (150 -y) + 15y = 1800

Then open the bracket

750 - 5y + 15y = 1800

750 + 10y = 1800

10y = 1800 - 750

10y= 1050 (divide both sides by 10)

y = 1050/10

y = 105

Substitute the value of y into equation 1 to get the value of x

x + 105 = 150

x = 150 - 105

x = 45

Therefore, the mechanic who worked 5 hours charged $45 per hour while the mechanic who worked for 15 hours charged $105 per hour.

I hope this is clear, mark as brainliest please

3 0

3 years ago

Find the area of the pollelegram. bass 6 mm height 4 mm.

Alchen [17]

Answer:

6 x 4 =24

the answer is 24

Step-by-step explanation:

4 0

2 years ago