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fredd [130]
3 years ago
15

Use the given x-values to identify solutions as ordered pairs to the equation y = −7x + 4 for x = 1, 3, 5, and 7

Mathematics
1 answer:
kolezko [41]3 years ago
8 0
For x=1: -7 x 1 + 4 = -3     y=-3
The ordered pair:(1, -3)
for x=3: -7 x 3 + 4 = -17    y=-17
The ordered pair:(3, -17)
for x=5: -7 x 5 + 4 = -35    y=-35
The ordered pair:(5, -35)
for x=7: -7 x 7 + 4 = -45    y =-45
The ordered pair:(7, -45)
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In the diagram below of a parallelogram STUV, SV=x+3, VU 2x-1, and TU=4x-3. What is the length of SV?
Katena32 [7]

Answer:

SV=5\ units

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

In a parallelogram opposites sides are parallel and congruent

so

In this problem

SV=TU ---> by opposite sides

substitute the given values

x+3=4x-3

solve for x

4x-x=3+3\\3x=6\\x=2

Find the length of SV

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substitute the value of x

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3 years ago
Use a truth table to verify the first De Morgan law (p ∧ q)’ ≡ p’ ∨ q’.
Nutka1998 [239]

Answer:

(p ∧ q)’ ≡ p’ ∨ q’

Step-by-step explanation:

First, p and q have just four (4) possibilities, p∧q is true (t) when p and q are both t.

p ∧    q

t t t

t f f

f f t

f f f

next step is getting the opposite

(p∧q)'

    <em>f</em>

<em>     t</em>

<em>     t</em>

<em>     t</em>

Then we get p' V q', V is true (t) when the first or the second is true.

p' V  q'

f  <em>f</em>  f

f  <em>t</em>  t

t  <em>t</em>  f

t  <em>t</em>  t

Let's compare them, ≡ is true if the first is equal to the second one.

(p∧q)'   ≡     (p' V q')

    <em>f              f </em>

<em>     t              t</em>

<em>     t              t</em>

<em>     t              t</em>

Both are true, so

(p ∧ q)’ ≡ p’ ∨ q’

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3 years ago
The equation of line s is y=1/3x-3. The equation of line t is y=-x+5. the equations of line s and t form a system of equations.
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Y=-x+5

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