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FromTheMoon [43]

2 years ago

13

Lulu used these steps to solve the equation 8x−2=2(4x−2)8x-2=2(4x-2). Which choice describes the meaning of her result, -2=-4-2=

-4?
A.The solution is -4-4.
B.No values of xx make the equation true.
C.All values of xx make the equation true.
D.The result is not correct because Step 22 has an error.

2 answers:

DanielleElmas [232]2 years ago

7 0

Answer:

Option B is correct.

No value of x make the equation true

Step-by-step explanation:

Given the equation:

8x - 2 = 2(4x - 2)

Using distributive property i.e $a\cdot (b+c) = a\cdot b + a\cdot c$

8x -2 = 8x - 4

Subtract from both sides by 8x we get;

8x - 2 -8x = 8x - 4 -8x

Simplify:

-2 = -4 no solution.

It is impossible for the equation to be true no matter what value we assign to the variable x.

therefore, no value of x make the given equation true.

Also, you can see in the graph shown below.

monitta2 years ago

6 0

I would choose B. because first of all negative -2 can't be equal to -4 (but that's just my opinion)

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Answer:

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Step-by-step explanation:

Start by noticing that the angle $\theta$ is on the 4th quadrant (between $\frac{3\pi}{2}$ and $2\pi$ . Recall then that in this quadrant the functions tangent and cosine are positive, while the function sine is negative in value. This is important to remember given the fact that tangent of an angle is defined as the quotient of the sine function at that angle divided by the cosine of the same angle:

$tan(\theta)=\frac{sin(\theta)}{cos(\theta)}$

Now, let's use the information that the tangent of the angle in question equals "-1", and understand what that angle could be:

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The particular special angle that satisfies this (the magnitude of sine and cosine the same) in the 4th quadrant, is the angle $\frac{7\pi}{4}$

which renders for the cosine function the value $\frac{\sqrt{2} }{2}$ .

Now, since we are asked to find the value of the secant of this angle, we need to remember the expression for the secant function in terms of other trig functions: $sec(\theta)=\frac{1}{cos(\theta)}$

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Sunny_sXe [5.5K]

Answer:

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Step-by-step explanation:

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Also, a random sample of 10 residents is taken.

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where, n = number of trials (samples) taken = 10 residents

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p = $\frac{\text{Number of residents favoring the annexation suit }}{\text{Total number of residents considered } }$ = $\frac{600}{1200}$ = 0.50

<em>LET X = Number of residents favoring the annexation suit</em>

So, it means X ~ $Binom(n=10, p=0.50)$

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