I noticed that the value of x is equal to the value of y. When x is 1, y is also 1. Thus, y = x
The function notation of y = x is:
f(x) = x
f(x) represents the value of y in the function notation.
f(1) = 1 f(-1) = -1
f(2) = 2 f(-2) = -2
f(3) = 3 f(-3) = -3
f(4) = 4 f(-4) = -4
f(5) = 5 f(-5) = -5
Answer:
A) it depends. If they bought 10 calculators, we would multiply 31.25 by 10. 31.25x10=$312.50
B)Divide 500 by 31.25. Since each calculator is $31.25, we divide $500 by it to see how many they can buy with $500. 500/31.25=16
Step-by-step explanation:
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Answer:
x = 8 ft
h = 1/2 ft
Step-by-step explanation:
Let x be side of the base then area of the base is x²
Let h be the height of the tank
Tank volume is 32 ft³ and is 32 = x²*h then h = 32 /x²
Area of base + lateral area = total area (A)
A = x² + 4*x*h ⇒ A = x² + 4*x*(32/x²) A = x² + 128/x
A(x) = x² + 128/x (1)
Taking derivatives on both sides of the equation
A´(x) = 2x - 128/x² A´(x) = 0 2x - 128/x² = 0
(2x² -128) / x² = 0
2x² - 128 = 0
x² =√64
x = 8 ft
The result is minimum since replacing in equation (1) x = 8 we get
A(x) > 0
And
h = 32/x²
h = 1/2 ft
Answer:
a = 0.4 and b=1.6
Step-by-step explanation:
Both expressions are simply divided
(2x + 8y = 60) ÷ (ax + by = 12)
60÷12 = 5, Hence coefficient of x and y in the bigger equation is divided by 5 to find a and b
2/5 = 0.4 = a
8/5= 1.6 = b