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3 years ago

Write these expressions as the square of a monomial.

Mathematics

1 answer:

son4ous [18]3 years ago

8 0

Answer:

81x4 = (9x^2)^2, 121a6 = (11a^3)^2, 0.09y12 = (0.3y^6)^2, 4/9b6 = (2/3b^3)^2

Step-by-step explanation:

sqrt of 81 = 9, (we do sqrt because its the inverse to exponents) x^4, x^2 * x^2 = (9x^2)^2

sqrt of 121 = 11, a^6, a^x * a^2 = a^6, x = 3, (11a^3)^2

sqrt of 0.09 = 0.3, y^12 = y^x * y^2, x=6,(0.3y^6)^2

sqrt of 4/9 = 2/3, b^x * b^2 = b^6, x = 3, (2/3b^3)^2

^ = power, * = multiplication

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lora16 [44]

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3 years ago

Francisco purchased a 2010 model sedan for $24,999. The dealership offered him a $199/month

beks73 [17]

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3 years ago

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Hatshy [7]

Answer:

The y intercept is (0, 8). The equation of the function is f(x) = 10x + 8

Step-by-step explanation:

Given that after 1 hour of work, Jack will make 18 dollars and the slope is 10, subtract 10 dollars from 18 dollars to find his set amount, or y-intercept.

18 - 10 = 8 dollars.

Now that we have the m and b values, we can create our equation.

The equation in standard form is f(x) = mx +b, where m = the slope and b = the y-intercept. Plug our values in and the equation will be f(x) = 10x + 8. You can test if this is correct by plugging in x values from the table and seeing if your calculated value correctly corresponds to the given y value in the table.

4 0

3 years ago

-3/4(8n+12)=3(n-3) show work pls

Nastasia [14]

Answer: n = 0

Step-by-step explanation:

Given expression

(-3/4) (8n + 12) = 3 (n - 3)

Expand parentheses and apply the distributive property

-6n - 9 = 3n - 9

Add 9 on both sides

-6n - 9 + 9 = 3n - 9 + 9

-6n = 3n

Subtract 3n on both sides

-6n - 3n = 3n - 3n

-9n = 0

Divide -9 on both sides

-9n / -9 = 0 / -9

$\boxed{n=0}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago

A city taxi driver charges $2 per kilometer and has a starting fee of $9. An Uber driver charges $5 per kilometer, but has no st

Levart [38]

Answer:

<h2> 2 trips</h2>

Step-by-step explanation:

first, we need to model an expression, the solve, say

let the total amount charged by taxi be y

and let the number of kilometers be x

y=2x+9

given that uber charges $5

then the number of taxi trips that will equal urber charge is

y=2x+9=5

5=2x+9

solving for x we have

2x+9-5=0

2x+4=0

2x=-4

x=-2

x=2 (x cannot be negative)

3 0

3 years ago