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3 years ago

10

Translate these statements into english, where c(x) is “x is a comedian” and f (x) is “x is funny” and the domain consists of al

l people.
a.∀x(c(x) → f (x))
b.∀x(c(x) ∧ f (x))
c.∃x(c(x) → f (x))
d.∃x(c(x) ∧ f (x))

1 answer:

12345 [234]3 years ago

6 0

Fx dhg what is that?

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Solve system by subsubstitution?<br> 14x-2y=46<br> -7x+y=-23

e-lub [12.9K]

$14x-2y=46 \\
-7x+y=-23 \\ \\
\hbox{solve the 2nd equation for y:} \\
-7x+y=-23 \\
y=7x-23 \\ \\
\hbox{substitute 7x-23 for y in the 1st equation:} \\
14x-2(7x-23)=46 \\
14x-14x+46=46 \\
14x-14x=46-46 \\
0=0 \\ \\
\boxed{\hbox{infinitely many solutions}}$

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Step-by-step explanation:

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Answer:

$\huge\boxed{4x+y=-3}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

<em>(x₁, y₁)</em><em> - point on a line</em>

<em>m</em><em> - slope</em>

<em />

We have

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Substitute:

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Convert to the standard form

$Ax+By=C$

$y-5=-4(x+2)$ <em> use the distributive property</em>

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$y-5=-4x-8$ <em>add 5 to both sides</em>

$y-5+5=-4x-8+5$

$y=-4x-3$ <em>add 4x to both sides</em>

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