Answer:
positive, it doesnt have a negative sign duh!
Step-by-step explanation:
If you would like to simplify the difference <span>(–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x), you can do this using the following steps:
</span><span>(–7x – 5x^4 + 5) – (–7x^4 – 5 – 9x) = -7x - 5x^4 + 5 + 7x^4 + 5 + 9x = 2x^4 + 2x + 10
The correct result would be </span><span>a. 2x^4 + 2x + 10.</span>
Answer:
True or False
2. When graphing inequalities, a dashed line is used for < or > signs.
True or False
3. If you were to graph x > 6, the circle would be closed and to the left.
True or False
4. On a number line, if you were to graph an equation with a less than sign or a great than sign, < or > respectively, you would use an open circle
True or False
Answer: AD/CD = 2/5
Explanation:
Triangle ABC is similar to triangle DEC on the basis of AA(Angle angle)
Recall, if 2 triangles are similar, it means that the ratio of their corresponding sides are equal. Thus,
AB/DE = BC/EC = AC/DC
From the information given,
AB/DE = 7/5
Thus,
AC/DC = 7/5
AD + CD = AC
(AD + CD)/DC = 7/5
AD/DC + CD/DC = 7/5
AD/DC + 1 = 7/5
AD/DC = 7/5 - 1
AD/DC = 2/5
AD/CD = 2/5
Answer:
a) Y(x) = {900, x≤30; 900-40(x-30), x>30}
b) T(x) = {900x, x≤30; 2100x-40x², x>30}
c) dT/dx = {900, x≤30; 2100-80x, x>30}
Step-by-step explanation:
a) The problem statement gives the function for x ≤ 30, and gives an example of evaluating the function for x = 35. So, replacing 35 in the example with x gives the function definition for x > 30.
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b) The yield per acre is the product of the number of trees and the yield per tree:
T(x) = x·Y(x)
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c) The derivative is ...
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The attached graph shows the yield per acre (purple, overlaid by red for x<30), the total yield (black), and the derivative of the total yield (red). You will note the discontinuity in the derivative at x=30, where adding one more tree per acre suddenly makes the rate of change of yield be negative.
