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3 years ago

What are the solutions to the nonlinear system of equations below?

1 answer:

5 0

Substitute y=4x to the second equation:

x^2 + (4x)^2 = 17
x^2 + 16x^2 = 17
17x^2 = 17
x^2 = 17/17
x^2 = 1
x = 1 and -1

When x=1, y=4(1) = 4
When x=-1, y=4(-1) = -4

Thus the solutions would be (1,4) and (-1,-4). That would correspond to D. and A.

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3 years ago

4 children want to share 10 submarine sandwiches so that everyone gets the same amount. How much can each child have?

kifflom [539]

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2 years ago

If fixed cost of 20 article is 500 and variable cost for each article is 40. Find the total cost function? Also ,find the total

Deffense [45]

Answer:

Cost function = 40a + 500

Cost of 90 articles = $4,100

Step-by-step explanation:

The fixed cost is $500 and it will.not change regardless of production level.

The Variable cost is $40 and increases by every additional unit produced.

Assume the number of articles produced is a.

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6 0

3 years ago

Does anyone know the answer to this??

Reptile [31]

The first answer and the last one

Plug in each number into their designated spots.
Example with (0,5)

0 goes into x and 5 goes into the y variable and this is the equation now:

2*0 +4*5=20

0 times 2 = 0 and 4*5=20
So that is one of the correct answers.

Repeat the process and you find that the last option is also correct.

7 0

3 years ago

5. A yacht is cruising at 20 knots at bearing of 185° when a 15 knot wind starts to blow at a bearing of 290°. Find the directio

kicyunya [14]

Answer:

Direction of the boat is 43.05° and the speed is 21.66 knot

Step-by-step explanation:

yacht speed = 20 knots

yacht bearing = 185° = 85° below the negative horizontal x-axis

wind speed = 15 knots

wind bearing = 290° = 20° above the negative horizontal x-axis

we find the x and y components of the boat velocities

for yacht,

x component = -20 cos 85° = -1.74 knots

y component = -20 sin 85° = -19.92 knots

for the wind,

x component = -15 cos 20° = -14.09 knots

y component = 15 sin 20° = 5.13 knots

total x component Vx = -1.74 + (-14.09) = -15.83 knots

total y component Vy = -19.92 + 5.13 = -14.79 knots

Resultant speed of the boat = $\sqrt{Vx^{2} + Vy^{2} }$

==> $\sqrt{15.83^{2} + 14.79^{2} }$ = 21.66 knot

direction of boat = $tan^{-1} \frac{Vy}{Vx}$

==> $tan^{-1} \frac{14.79}{15.83}$ = 43.05°

3 0

3 years ago