Answer:
Step-by-step explanation:
You would substitute "2x" for every "x" in the function in the same way you would substitute any other number.
So if f(x)=Sqrt[7x²-3x], then: f(2x)=Sqrt[7(2x)²-3(2x)]
=Sqrt[7(4x²)-3(2x)]
=Sqrt[28x²-6x]
Because if let's say you have 400$ for the year, and each book cost 10$. So it would be written as 400-10b since the quantity of books must be multiplied times their cost to calculate whether you are within or outside the budget.
Answer:
81.82%
Step-by-step explanation:
Step 1: We make the assumption that 33 is 100% since it is our output value.
Step 2: We next represent the value we seek with $x$x.
Step 3: From step 1, it follows that $100\%=33$100%=33.
Step 4: In the same vein, $x\%=27$x%=27.
Step 5: This gives us a pair of simple equations:
$100\%=33(1)$100%=33(1).
$x\%=27(2)$x%=27(2).
Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS
(left hand side) of both equations have the same unit (%); we have
$\frac{100\%}{x\%}=\frac{33}{27}$100%x%=3327
Step 7: Taking the inverse (or reciprocal) of both sides yields
$\frac{x\%}{100\%}=\frac{27}{33}$x%100%=2733
$\Rightarrow x=81.82\%$⇒x=81.82%
Therefore, $27$27 is $81.82\%$81.82% of $33$33.
Answer:
The domain is y > 3
Step-by-step explanation:
y = 2⁻ˣ + 3
As x approaches -∞, y approaches ∞.
As x approaches ∞, y approaches 3.
So the range is y > 3, and there is an asymptote at y = 3.
Compared to the parent function y = 2ˣ, it is reflected over the y-axis and shifted up 3 units.
The false statement is "the domain is y > 3". Domain describes the possible values of x. Range describes the possible values of y.
Answer:
The rate of change or slope is 2
Step-by-step explanation:
Rise over run 2/1
