Answer: x=4
Step-by-step explanation: 0.75x+3=6(x−3)
0.75x+3=(6)(x)+(6)(−3)
0.75x+3=6x+−18
0.75x+3=6x−18
0.75x+3−6x=6x−18−6x
−5.25x+3−3=−18−3
−5.25x
/−5.25
=−
21
/−5.25
x=4
Y=4x-3=1
Y=-2x+9=11 that’s the answer
Answer:
-22y+27
Step-by-step explanation:
(4y-9)(2y-3)
<u>Distribute:</u>
8y-12y-18y+27
<u>Combine like terms:</u>
8y-12y-18y=-22y
-22y+27
You can solve for the velocity and position functions by integrating using the fundamental theorem of calculus:
<em>a(t)</em> = 40 ft/s²
<em>v(t)</em> = <em>v </em>(0) + ∫₀ᵗ <em>a(u)</em> d<em>u</em>
<em>v(t)</em> = -20 ft/s + ∫₀ᵗ (40 ft/s²) d<em>u</em>
<em>v(t)</em> = -20 ft/s + (40 ft/s²) <em>t</em>
<em />
<em>s(t)</em> = <em>s </em>(0) + ∫₀ᵗ <em>v(u)</em> d<em>u</em>
<em>s(t)</em> = 10 ft + ∫₀ᵗ (-20 ft/s + (40 ft/s²) <em>u</em> ) d<em>u</em>
<em>s(t)</em> = 10 ft + (-20 ft/s) <em>t</em> + 1/2 (40 ft/s²) <em>t</em> ²
<em>s(t)</em> = 10 ft - (20 ft/s) <em>t</em> + (20 ft/s²) <em>t</em> ²
Answer:
k = -2
Step-by-step explanation:
If 
Then

So

From this follows k = -2