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3 years ago

3-2(x + 1)=2x-7 SOLVE AND HOW MANY SOLUTIONS ?

Mathematics

1 answer:

jekas [21]3 years ago

5 0

Answer:

Step-by-step explanation:

3−2(x+1)=2x−7

3+(−2)(x)+(−2)(1)=2x+−7(Distribute)

3+−2x+−2=2x+−7

(−2x)+(3+−2)=2x−7(Combine Like Terms)

−2x+1=2x−7

Step 2: Subtract 2x from both sides.

−2x+1−2x=2x−7−2x

−4x+1=−7

Step 3: Subtract 1 from both sides.

−4x+1−1=−7−1

−4x=−8

Step 4: Divide both sides by -4.

−4x−4=−8−4

x=2

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xenn [34]

From trigonometry we know that:

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This can be rewritten in degrees as:

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Now, in our case, $\alpha=-230^{\circ}$

Therefore, (Equation 1) can be written as:

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Now, to find the correct options all that we have to do is replace n by relevant integers and find the values of $\theta$ that match.

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Thus, $sin(230^{\circ})=sin(130^{\circ})$

Now, we know that: $-sin(-50^{\circ})=sin(50^{\circ})$

Let n=-1, then:

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Thus, $sin(-230^{\circ})=-sin(-50^{\circ})$

Likewise, $sin(-230^{\circ})=sin(50^{\circ})$

Only the last option $sin(-50^{\circ})$ will never match $sin(-230^{\circ})$ because no integral value of $n$ will ever give $\theta=-50^{\circ}$

Thus the last option is the correct option.

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<span>given:
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3 years ago

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Sati [7]

Answer:

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Step-by-step explanation:

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valkas [14]

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