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hammer [34]
2 years ago
9

A) Show that sin 3x = 3 sin x - 4 sin³ x

Mathematics
1 answer:
svp [43]2 years ago
3 0
A) linked photo
b) linked photo
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How many solutions does the system have?
sertanlavr [38]
If a solution(s) exists y=y so we can say:

x^2-3x=-2x+2  add 2x to both sides

x^2-x=2  subtract 2 from both sides

x^2-x-2=0  factor

(x-2)(x+1)=0

So x=-1 and 2, using y=-2x+2 we find:

y(-1)=4 and y(2)=-2

So the two solutions occur at the points:

(-1,4) and (2,-2)
4 0
3 years ago
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What is the simplified expression for 2 (x minus 5)? 2 x Negative 10 x 2 x minus 10 2 x + 5
Kay [80]

Answer:

2x-10

Step-by-step explanation:

Multiply BOTH x and -5 by 2

7 0
3 years ago
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Graph - 9x + 6y = 18 using linear standard form
postnew [5]

Answer:

The graph is attached Below and the plotting is given below.

Step-by-step explanation:

Given:

-9x + 6y = 18

Solution:

To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.

For point A

Put x = -4 in the given equation we get

-9×-4 + 6y = 18

6y = 18-36

∴ y=\frac{-18}{3}\\ \\y=-3

∴ Point A ≡ ( -4, -3 ).

For point B

Put x = -2 in the given equation we get

-9×-2 + 6y = 18

6y = 18 - 18

6y = 0

∴ y=\frac{0}{3}\\ \\y=0

∴ Point B ≡ ( -2, 0 ).

For point C

Put x = 0 in the given equation we get

-9×0 + 6y = 18

6y = 18

∴ y=\frac{18}{3}\\ \\y=3

∴ Point C ≡ ( 0, 3 ).

Now we have Point A ,B and C join it and you will have Line.

3 0
3 years ago
Rewrite the equation 2x+8y=16 in slope-intercept form
Shkiper50 [21]
The goal is to solve for y. Start by subtracting 2x from both sides. This gives you 8y=-2x+16. Now just divide both sides by 8, which gives you y=-2/8x+16/8. Finally, simplify this to y=-1/4x+2.
7 0
3 years ago
Factor 2x^2 - 6x + 4 completely
katovenus [111]

Answer:

Step-by-step explanation:

Factor

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.

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Factor

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−

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6 0
3 years ago
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