Answer:
Step-by-step explanation:
1. y - 2 = -3(x - 4)
y - 2 = -3x + 12
y = -3x + 14
2. y - 6 = -1/2(x + 5)
y - 6 = -1/2x - 5/2
y - 12/2= -1/2x - 5/2
y = -1/2x + 7/2
9514 1404 393
Answer:
295 mg
Step-by-step explanation:
The proportion can be written ...
dose/(96 lb) = (200 mg)/(65 lb)
dose = (96/65)(200 mg) ≈ 295.4 mg . . . . . multiply by 96 lb, cancel lb units
The doctor might recommend 295 mg for a 96-pound patient.
Answer:
10 ounces
Step-by-step explanation:
The total amount of ounces will the the amount worth 30 cents an ounce (x) plus the 50 ounces worth 20 cents an ounce. This amount is x + 50. The total worth of the mixture should be the worth of the unknown quantity (30 cents an ounce * x ounces) plus the worth of the known quantity (18 cents an ounce * 50 ounces). The total worth is then 30x + 18(50).
Selling the mixture at 20 cents an ounce means the total worth divided by the total amount equals 20 cents per ounce:
[30x + 18(50)] cents / [x + 50] ounces = 20 cents/ounce
Multiplying both sides by (x + 50) ounces yields
(30x + (18)(50) cents = 20(x + 50) cents
which solves to (30x + 900) cents = (20x + 1000) cents
now we use algebra to solve for the value of x
(30x + 900) - 900 = 20x + 1000 - 900 --> 30x = 20x + 100 -->
30x - 20 x --> 20x - 20 x + 100 --> 10x = 100 --> x = 10 ounces
Answer:
Perimeter=100 area=688.19
Step-by-step explanation:
There's a big formula for area of pentagon and I pretty tired, so unless you want me to show my work I wont
The derivative of the function is 2x/(3+x²).
<h3>What is Derivative?</h3>
The derivative is the instantaneous rate of change of a function with respect to one of its variables.
Given function:
y= ln(3+x²)
Differentiating and applying chain rule
=1/(3+x²) d/dx(3+x²)
=1/(3+x²) (2x)
= 2x/(3+x²)
Hence, the derivative of the function is 2x/(3+x²).
Learn more about derivative here:
brainly.com/question/124529
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