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mario62 [17]
4 years ago
5

Simplify the equation by combining

Mathematics
2 answers:
creativ13 [48]4 years ago
4 0
The answer would be 3x + 3.
Setler79 [48]4 years ago
3 0

Answer:

3x+3

Step-by-step explanation

Like terms are terms that contain the same variables raised to the same power. As such in your equation you would combine the <em>4x</em> and the <em>-x</em> because they contain the same variable (x). To combine these terms you simply add <em>4x + - x</em>, which can be written as <em>4x - x</em>. The product of this is <em>3x. </em>Because there is a <em>3</em> on its own with no other like terms to add to it the it, the simplified version of this equation would be <em>3x+3</em>.

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4 cos²x – 1=0<br><br> What is the solution?
andreev551 [17]

Answer:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{4\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

$x=\frac{\pi}{3}+\pi n, n \in \mathbb{Z} $

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Step-by-step explanation:

4\text{cos}^2(x)-1=0\\4\text{cos}^2(x)=1\\

$cos(x)=\pm\sqrt{\frac{1}{4} } $

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So, when cos(x) is equal to

$\frac{1}{2}   \text{ and } -\frac{1}{2}$    ?

For

$cos(x)=\frac{1}{2} $

We are talking about x = 60º and x = 300º, Quadrant I and IV, respectively. In radians:

$x=\frac{\pi }{3}+2\pi n, n\in \mathbb{Z}$

$\:x=\frac{5\pi }{3}+2\pi n, n \in \mathbb{Z}$

or

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For

$cos(x)=-\frac{1}{2} $

We are talking about x = 120º and x = 240º, Quadrant II and III, respectively. In radians:

$x=\frac{2\pi }{3}+2\pi n, n\in \mathbb{Z}$

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or

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6 0
3 years ago
Please check my answer : Find the equation of the line that has a slope of 8 and passes through the point (-3,4). I got y=8x-20
Paladinen [302]
The answer is y = -8x - 20. If you were to use y = 8x - 20 then you'd get 4 = -44, which, obviously, is not true. To fix it all you need to do is add a negative sign in front of the 8. y = -8x - 20.
7 0
3 years ago
Mike is looking for a loan. He is willing to pay no more than an effective rate of 8.000% annually. Which, if any, of the follow
RoseWind [281]
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8 0
3 years ago
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Write the solution as an inequality -10x&gt;250
jeyben [28]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
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pychu [463]

Answer:

$44

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Let the total amount of money be represented by Y

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The total amount for grocery shopping is $77

Therefore, Brittany spent $44 on fresh foods

=  \frac{4}{7}  \times 77 \\  = 4 \times 11 \\  = 44

5 0
3 years ago
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