Answer:
20
Step-by-step explanation:
First, let's find how much she spent on the expensive calculators
40 times $16400= $656,000
Now, lets find how much money she had for the cheap calculators.
$774,000- $656,000=$118000
Now that we have her budget (money remaining) for the cheaper calculators, lets divide that by the price for each individual calculator.
$118000/$5900=20
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Answer:
hello :
If f(x)=x-2 and g(x)=1/2x,
g(f(x)) = g ( x - 2 )
= 1/2(x-2)
g(f(x)) = (1/2)x - 1
Answer:
The value of n is -6
Step-by-step explanation:
- If the function f(x) is translated k units up, then its image is g(x) = f(x) + k
- If the function f(x) is translated k units down, then its image is g(x) = f(x) - k
- The vertex form of the quadratic function is f(x) = a(x - h)² + k, where a is the coefficient of x² and (h, k) is the vertex
∵ k(x) = x²
→ Its graph is a parabola with vertex (0, 0)
∴ The vertex of the prabola which represents it is (0, 0)
∵ The given graph is the graph of p(x)
∵ Its vertex is (0, -6)
∴ h = 0 and k = -6
∵ a = 1
→ Substitute them in the form above
∴ p(x) = 1(x - 0)² + -6
∴ p(x) = x² - 6
→ Substitute x² by k(x)
∴ p(x) = k(x) - 6
∵ p(x) = k(x) + n
→ By comparing the two right sides
∴ n = -6
∴ The value of n is -6
Look at the attached figure for more understanding
The red parabola represents k(x)
The blue parabola represents p(x)
Answer:
12
Step-by-step explanation:
f(x) = 2x^2 - 5x
Let x=4
f(4) = 2 (4)^2 -5(4)
Exponents first
= 2*16 -5*4
Multiply
=32 -20
subtract
=12