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4vir4ik [10]
2 years ago
13

Solve the following system of equations and show all work. Please help!!! y = 2x2 y = –3x −1

Mathematics
2 answers:
Mice21 [21]2 years ago
6 0
We can solve these equations by using substitution method where you substitute one equation to the other and solve for the value of the other variable. We do as follows:

y = 2x^2
y = –3x −1

2x^2 = –3x −1
2x^2 +3x +1 = 0

x1= -0.5
x2 = -1
y1 = 0.5
y2 = 2
pshichka [43]2 years ago
4 0

Answer:

Step-by-step explanation:

1.(-1/2,-5/2),(2,5)

2.0

3.-1,19

4.-9,9

5.exponential

6.a

7.d

8.c

9.b

10.y=-2x^2+4 is just 4 units up from y=-2x^2

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Answer:

5) 27/70

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Find the values of the trigonometric functions of θ from the information given.
OLga [1]

Answer:

  • sin(θ) = -(4√15)/17
  • cos(θ) = 7/17 . . . . . . . given
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  • sec(θ) = 17/7
  • cot(θ) = -(7√15)/60

Step-by-step explanation:

The relationship between sine and cosine is ...

  sin² + cos² = 1

Solving for sine gives ...

  sin = ±√(1 -cos²)

In this problem, we want the negative root.

  sin(θ) = -√(1 -(7/17)²) = -√(240/289) = -(4√15)/17

  tan(θ) = sin(θ)/cos(θ) = ((-4√15)/17)/(7/17) = -(4√15)/7

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And the inverse functions are ...

  sec(θ) = 1/cos(θ) = 17/7

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  cot(θ) = 1/tan(θ) = -(7√15)/60

_____

Of course, you're aware that 1/√15 = (√15)/15.

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3 years ago
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