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Jlenok [28]
2 years ago
11

What are the solutions to the nonlinear system of equations below? Check all that apply.

Mathematics
1 answer:
melomori [17]2 years ago
3 0
Y = 4x
x² + y² = 17

    x² + y² = 17
x² + (4x)² = 17
x² + 16x² = 17
       17x² = 17
        17      17
           x² = ±1

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

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

(x, y) = (±1, ±4) = (1, 4) and (-1, -4)

The answer is equal to C and D.

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How many leaves on a tree diagram are needed to represent all possible combinations of rolling a die and spinning a spinner with
torisob [31]

I'm assuming the die is 6 sided. The number of leaves required to show the outcome would be the number of ways you can get any number on the die times the number of ways you can pick a number on the spinner. That would be 6*8=48. I'm also assuming you're talking about the final outcome because the answer varies on whether you start with spinning the spinner or rolling the die.

4 0
3 years ago
Halla el conjunto solución del siguiente sistema de ecuaciones aplicando el método de reducción: 2x + 3y = 8 x – 5y = 6
AysviL [449]

Answer:

x = 7.535 and y = 0.307

Step-by-step explanation:

Given that,

Two equations,

2x + 3y = 8 ...(1)

x – 5y = 6....(2)

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-2x + 10y = -12....(3)

Now, adding equations (1) and (2),

2x + 3y -2x + 10y = 8-12

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y = 0.307

Put the value of y in equation (2).

x – 5(0.307) = 6

x = 6 + 1.535

x = 7.535

So, the solutions of the given equation are x = 7.535 and y = 0.307.

4 0
2 years ago
If f(x) = 4 x^2 and g(x) = x+1, find (f•g)(x)
BaLLatris [955]

Answer:

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6 0
3 years ago
Given that curl F = 2yi – 2zj + 3k, find the surface integral of the normal component of curl F (not F) over (a) the open hemisp
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Use Stokes' theorem for both parts, which equates the surface integral of the curl to the line integral along the surface's boundary.

a. The boundary of the hemisphere is the circle x^2+y^2=9 in the plane z=0, where the curl is \mathrm{curl}\vec F=2y\,\vec\imath+3\,\vec k. Green's theorem applies here, so that

\displaystyle\iint_S\mathrm{curl}\vec F\cdot\mathrm d\vec S=\int_{\partial S}\vec F\cdot\mathrm d\vec r=3\int_{x^2+y^2=9}\mathrm d\vec r

which means the value of the line integral is 3 times the area of the circle, or 27\pi.

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2 years ago
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tangare [24]
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3 years ago
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