<h2><em>hope</em><em> it</em><em> helps</em></h2>
Answer:
x = 5
Step-by-step explanation:
Given: f(x) = -3x + 19
1. Substitute f(x) = 4 into f(x) = -3x + 19:
⟹ 4 = -3x + 19
2. Add 3x to both sides:
4 + 3x = -3x + 3x + 19
⟹ 3x + 4 = 19
3. Subtract 4 from both sides:
3x + 4 - 4 = 19 - 4
⟹ 3x = 15
4. Divide both sides by 3:
3x ÷ 3 = 15 ÷ 3
⟹ x = 5
5. Check your work:
4 = -3x + 19
4 = -3(5) + 19
4 = -15 + 19
⟹ 4 = 4 ✔
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Answer:
f(8) = 192
Explanation:
f(x) varies directly with x²
This means that:
f(x) = kx²
where k is the constant of proportionality.
Now, we are given that:
f(x) = 75 at x = 5
Substitute to get k as follows:
f(x) = kx²
75 = k(5)²
75 = 25k
k = 3
This means that the equation is:
f(x) = 3x²
Now, to find f(x) at x = 8, all we have to do is substitute with x = 8 in the equation as follows:
f(8) = 3*(8)²
f(8) = 3*64
f(8) = 192
Hope this helps :)
Answer:
This winds up being a 4% decrease.
Step-by-step explanation:
For an example, we will take an object that costs $100. If we mark it up by 60%, the new cost will be $160.
Now we want to take the cost of $160, and subtract 40%. First we need to find 40% of $160. We can do that by multiplying them together.
$160*40% = $64
Now we will subtract that from the cost of the item after the increase.
$160 - $64 = $96.
Even though the percent decrease was less, the order in which we do it causes this to be an overall decrease