The difference in the given functions is 2x^3 + 6x^2 -8x + 1
<h3>Difference of functions</h3>
Given the following function a shown
f(x)= 2x^3 + 6x^2 -5x - 3
g(x)= 3x-4
Take the difference
(f-g)(x) = f(x) - g(x)
Substitute
(f-g)(x) = 2x^3 + 6x^2 -5x - 3 - (3x - 4)
Expand
(f-g)(x) = 2x^3 + 6x^2 -5x - 3 - 3x + 4
(f-g)(x) = 2x^3 + 6x^2 -8x + 1
Hence the difference in the given functions is 2x^3 + 6x^2 -8x + 1
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Weird question.
logically, the only answer that can make sense is a negative one since it is a decreasing slope.
the secant is the average rate of change (and is 1/tangent)
the tangent is the instantaneous rate of change. (1/secant)
we want the first one which is:<span><span><span><span>Δx</span><span>Δy</span></span>=<span><span>Δ weeks</span><span>Δ lbs</span></span>=<span><span>5−0</span><span>137−150</span></span>=<span>5<span>−13</span></span>=−0.3846</span></span>
The amount of cloth needed to make 1 headband is 10 meters.
<h3>Unit value</h3>
- Number of headbands Anne made = 6
- Total clothes used = 3/5 meters
Cloth needed to make 1 headband = Number of headbands Anne made / Total clothes used
= 6 ÷ 3/5
= 6 × 5/3
= (6 × 5) / 3
= 30/3
= 10 meters
Therefore, the amount of cloth needed to make 1 headband is 10 meters.
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Answer:
angle 1 and angle 3 are congruent
Step-by-step explanation:
Angles supplementary to the same angle are congruent. Here both angles 1 and 3 are supplementary to angle 2, so angles 1 and 3 are congruent.
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If you like, you can get there algebraically:
m∠1 + m∠2 = 180
m∠3 + m∠2 = 180
Subtract the second equation from the first:
(m∠1 + m∠2) - (m∠3 + m∠2) = (180) - (180)
m∠1 -m∠3 = 0 . . . . simplify
m∠1 = m∠3 . . . . . . add m∠3
When angle measures are the same, the angles are congruent.
∠1 ≅ ∠3
