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2 years ago

Select the best method of finding an accurate solution to a system of linear equations.

Mathematics

1 answer:

a_sh-v [17]2 years ago

3 0

Answer:

Substitution. Substitution is a good method to use when one of the variables is isolated in the equation or the coefficient of one of the variables is 1 or -1. When you isolate that variable to substitute into the other equation, you will not be introducing additional fractions into the problem.

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Two angles are supplementary. One angle is 16° less than three times the other. Find the measures of the angles

Ivan

Answer:

Step-by-step explanation:

x and y are supplementary angles, so their sum is 180°.

x+y = 180°

x is 16° less than three times y

x = 3y - 16°

(3y-16°) + y = 180°

4y = 196°

y = 49°

x = 3y-16° = 131°

7 0

3 years ago

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

At the middle school graduation dance, the DJ played 12 slow dances, which was equal to the quotient of the number of fast dance

belka [17]

quotient means divide

so 12 = x/2

x = 12*2 = 24

x =24 fast songs

3 0

3 years ago

Please answer if you know the answer!<br><br> [Help]

Alinara [238K]

Remember that an exponent means repeated multiplication.

The exponent of 4 means you have four $\big(b^2\big)$ 's mutiplied together:

$\big(b^2\big)\cdot\big(b^2\big)\cdot\big(b^2\big)\cdot\big(b^2\big)$

And then each exponent of 2 inside means you have two $b$ 's multiplied inside each set of parentheses.:

$\big(b\cdot b\big)\cdot\big(b\cdot b\big)\cdot\big(b\cdot b\big)\cdot\big(b\cdot b\big)$

There are 8 b's there when you expand this out.

6 0

3 years ago

The focus of a parabola is located at (4,0), and the directrix is located at x = –4.

Tanzania [10]

The distance between the focus and directrix is, in this case, 8. Since the directrix is at x= something, the parabola opens sideways, and since the directrix is on the left, to the right. In which case, y^2=p(x), where p is 4 times distance of half of distance between directrix and focus, so the answer is y^2=16x

3 0

4 years ago

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