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Vinvika [58]
3 years ago
6

The graph of the function, f(x) = 3x2 + x + 2, opens and has a value.

Mathematics
1 answer:
kap26 [50]3 years ago
3 0

Answer: No Solution

Step-by-step explanation:

The graph is above the x axis

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Solve the equation for 0 &lt;= x &lt; 2pi.<br><br> (2sin x - 1)(2cos^2 x - 1) = 0
marta [7]

If

(2 sin(x) - 1) (2 cos²(x) - 1) = 0

then either

2 sin(x) - 1 = 0   or   2 cos²(x) - 1 = 0

sin(x) = 1/2   or   cos(2x) = 0

The first equation gives two families of solutions,

x = arcsin(1/2) + 2nπ = π/6 + 2nπ

x = π - arcsin(1/2) + 2nπ = 5π/6 + 2nπ

where n is any integer; we get the solutions x = π/6 and x = 5π/6 in the interval 0 ≤ x < 2π when n = 0.

The second equation also gives two families of solutions,

2x = arccos(0) + 2nπ = π/2 + 2nπ

2x = -arccos(0) + 2nπ = -π/2 + 2nπ

Divide both sides by 2 :

x = π/4 + nπ

x = -π/4 + nπ

Then the solutions we want are x = π/4 and x = 5π/4 (when n = 0 and 1 in the first family, respectively) and x = 3π/4 and x = 7π/4 (when n = 1 and 2 in the second family).

We have 6 solutions, so A is the correct choice.

8 0
2 years ago
2y = x + 3
aksik [14]

Answer:

Solution:  { -29/3 , -10/3 }

Step-by-step explanation:

2y = x + 3  ---------> equ 1

5y = x - 7    equ 2

equ 1 - equ s  ====>     -3y = 10

                                         y =  -10/3

Put y = -10/3 in equ 1

        2 * (-10/3)   = x + 3

         -20/3         = x + 3

          (-20/3) - 3   = x

        (-20/3) - (9/3)  = x

         (-20 - 9) / 3    =x

                x = -29/3

Solution:  { -29/3 , -10/3 }

3 0
4 years ago
Read 2 more answers
3х -10 y =-70<br> 4х +9y = 63
Katena32 [7]

Answer:

(0,7)

Step-by-step explanation:

(I'm assuming you have to solve the system of equations)

3x -10y = -70

4x +9y = 63

Solving by elimination.

Eliminate x first, so we need the x-component of both equations to have the same number but opposite sign. So i'm going to multiply the first by -4 and the second by +3.

//I could have also done +3 to first and -4 to second

-4(3x -10y = -70)

3(4x +9y = 63)

-12x +40y = 280

12x +27y = 189

Add the equations //x's cancel

67y = 469

Divide both side by 67, y=7

Plug in y into any original equation to solve to x

3x - 10(7) = -70

3x -70 = -70

3x = 0

x=0

4 0
3 years ago
Evie has two sets of blocks of identical size and shape with the colors given. Evie will randomly select on block from each set.
expeople1 [14]

Answer:

\frac{8}{49}

Step-by-step explanation:

Orange: \frac{4}{7}

Red: \frac{2}{7}

\frac{4}{7} *\frac{2}{7} =\frac{8}{49}

8 0
4 years ago
Consider the diagram.
Law Incorporation [45]

Answer:

Scew option D

Step-by-step explanation:

I have the same test

8 0
3 years ago
Read 2 more answers
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