3 years ago

Find the distance between the points given. (-1, -1) and (1, 3)

Mathematics

1 answer:

ra1l [238]3 years ago

5 0

Answer:

Step-by-step explanation:

DISTANCE FORMULA

D=(SQRT(X2-X1)^2+(Y2-Y1)^2)

SQRT(1-(-1))^2+(3-(-1)^2)

SQRT((2)^2+(4)^2)

SQRT(4+16)

SQRT(20)

2SQRT(5)

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Natalie consumes only apples and tomatoes. Her utility function is U(x, y) = x 2y 8 , where x is the number of apples consumed a

Kamila [148]

Answer:

16 apples.

Step-by-step explanation:

$U(x, y) = x^2y^8$

$MU_x =\frac{\partial U}{\partial x} = 2xy^8\\MU_y = \frac{\partial U}{\partial x} = 8x^2y^7\\$

Price of apples, Px=$4

Price of tomatoes, Py=$3

Ratio of their Marginal Utilities

$\frac{MU_x}{MU_y} = \frac{Px}{Py}$

$\frac{y}{4x} = \frac{4}{3}$

$y=\frac{16x}{3}$

Since Natalie’s income is $320

320 = xPx+yPy

$320=4x + 3*\frac{16x}{3} \\320= 4x+16x = 20x\\x=\frac{320}{20} = 16\\Also\\y=\frac{16x}{3}=\frac{16X16}{3}=\$85.33$

Since x=16, Natalie will consume 16 apples.

6 0

3 years ago

The number of people who purchased a new car from force motor company , is 140% of the number of people who purchased a new car

valentinak56 [21]

90(140/100)

12600/100

126 people purchased a car from force motor company.

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3 years ago

Read 2 more answers

Which ordered pair is a solution to the inequality?

Over [174]

Answer:

Step-by-step explanation:

The equation would be -3 is less than 3(1)+1, which is 4. And -3 is less than 4.

(hope this helps!)

7 0

3 years ago

i need help on this question it says yunna missed 5 points out of 100 points on her math test.What decimal number repesents the

kap26 [50]

If she got 5/100 wrong she got 95%
95% is the same as 0.95

6 0

3 years ago

What single decimal multiplier would you use to decrease by 14% followed by a 9% decrease?

xenn [34]

Answer:

the single decimal multiplier is 0.7826

Step-by-step explanation:

The computation of the single decimal multiplier is given below:

Given that

It is reduced by 14% that followed by 9% decrease

So according to this, the following calculation is required

= (1 - 0.14) × (1 - 0.09)

= 0.86 × 0.91

= 0.7826

Hence, the single decimal multiplier is 0.7826

3 0

3 years ago