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lys-0071 [83]
3 years ago
11

39. Why are -2a and 18a like terms?

Mathematics
1 answer:
Vesnalui [34]3 years ago
7 0

Answer:

they each share the same variable which is raised to the same exponent, 1

Step-by-step explanation:

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car ​as the following utility​ function: ​U(X,Y)equals10Upper X squaredY where X is her consumption of​ Blu-ray disks with a pri
mr_godi [17]

Answer:

She consumes 30 blue ray disk and 60 DVD respectively.

Step-by-step explanation:

Consider the provided information.

U(x,y)=10x^2y

Calculate marginal utility of good

Differentiate with respect of x and y.

MU_x=20xy

MU_y=10x^2

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10.

The ratio of marginal utility of good x to y is equal to the price ratio:

\frac{MU_x}{MU_y}=\frac{P_x}{P_y}

Substitute the respective values.

\frac{20xy}{10x^2}=\frac{40}{10}

\frac{2y}{x}=4

2y=4x

y=2x

She has ​$1800 with which to spend on the two goods.

Her consumption of​ Blu-ray disks (X) with a price of ​$40 and Y is her consumption of DVDs with a price of ​$10. She has ​$1800 with which to spend on the two goods.

Therefore, 40x+10y=1800

4x+y=180

Substitute the value of y in above equation.

4x+2x=180

6x=180

x=30

Thus, y=60

She consumes 30 blue ray disk and 60 DVD respectively.

6 0
3 years ago
The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet. The elevation of the point closest
Gelneren [198K]

The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.

The elevation of the point closest to sea level is feet

-8 ft

elevation of the point farthest from sea level is feet.

-47 ft

closet to sea level to farthest to sea level

-8ft , -18ft , -24ft , -47ft

4 0
3 years ago
A yogurt company charges 72 cents for a 6 ounces container of yogurt. How much does it charge for an 8 ounce container?
Vlada [557]

Answer:

Step-by-step explanation:

If

72 cents ---> 6 ounces

Xcents  -----> 8 ounces

then

X = [(72)*(8)] / 6

X = 96 cents

Best regards

8 0
4 years ago
What is the solution to x² - 11x + 24 = 0
jarptica [38.1K]

Answer:

(x - 8)(x - 3)=0

x - 8=0 or x - 3=0

x =8 x =3

5 0
2 years ago
Systems of Equations - Elimination
Novay_Z [31]
First, isolate y in 7x-y=29 because 1 is y's coefficient.
7x-y=29
-y=29-7x
y=7x-29
Now, substitute 7x-29 for y in 7x+8y=20.
7x+8y=20
7x+8(7x-29)=20
7x+56x-232=20
Add all coefficients.
63x-232=20
Isolate x by adding 232 to both sides.
63x-232=20
63x=252
x=4
Now, substitute 4 for x in your first equation.
y=7x-29
y=7(4)-29
y=28-29
y=-1
Your answer would be (4,-1).
Any questions you may have, please contact me or comment.



5 0
3 years ago
Read 2 more answers
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