Answer:
Step-by-step explanation:
Domain is ( - ∞ , ∞ )
Range is [ 0 , 1 ] ∪ ( 2 , ∞ )
Answer:
a) The marginal cost function is given by
C'(x) = 4 + 0.04x + 0.0003x² (in dollars)
b) C'(70) = $8.27
Step-by-step explanation:
C(x) = 1000 + 4x + 0.02x² + 0.0001x³
a) Marginal cost is usually defined as the cost of producing one extra unit of product. It expresses how much the total cost is changing with respect to number of units of product.
Mathematically,
MC = (dC/dx) = C'(x)
For this question,
C'(x) = 4 + 0.04x + 0.0003x²
b) C'(70) means the marginal cost at x = 70 units, that is, how much the total cost is changing after the production of 70 units; the cost of producing one extra unit of product after producing 70 units.
C'(x) = 4 + 0.04x + 0.0003x²
C'(70) = 4 + 0.04(70) + 0.0003(70²)
C'(70) = $8.27
Hope this helps!
17/80 = p/100
p = 17/80 * 100
p = 0.2125 * 100
p = 21.25
Answer:
A .The expression 2l+2(3l+1) shows the width is 1 more than 3 times the length.
Step-by-step explanation:
p = 8l + 2
Length = l
Width:
2w = p - 2l
2w = (8l + 2) - 2l
2w = 6l + 2
w = 3l + 1
Therefor w is 3 times the length plus 1
Answer:
<h3>Y=-21/2x+5</h3>
Step-by-step explanation:
<u><em>SLOPE FORMULA:</em></u>
y₂-y₁/x₂-x₁=rise/run
<u><em>SLOPE-INTERCEPT FORM:</em></u>
y=mx+b
m represents the slope.
b represents the y-intercept.
y₂=(-16)
y₁=47
x₂=2
y₁=(-4)
Solve.
Furthermore, the y-intercept is 5.
y=-21/2x+5
The correct answer is y=-21/2x+5.
