Original cost of the car is $21,000.
What is Percentage?
A relative value indicating hundredth part of any quantity is called percentage.
Given that;
A new car lose 20% of its value.
In first year, A car lost $4,200 of the value.
Now, Let original price of car = $x
Then, By the given condition;
20% of x = $4,200
Solve for x;
20/100 of x = 4,200
20/100 × x = 4,200
1/5 × x = 4,200
x = 5 × 4,200
x = 21,000
Thus, Original cost of the car is $21,000.
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What is the inverse of h?
Answer:
Step-by-step explanation:
Inverse is when you swap the x's and y's and then solve for y
y = 6x + 1
x = 6y + 1 swapped the x's and y's
x - 1 = 6y subtracted 1 from both sides
(x - 1) = y divided both sides by 6
Answer:
(f×g)(x) = x +5.
Step-by-step explanation:
Given : f(x)= and g(x) = x²+5x.
To find : find (f×g)(x).
Solution: We have given f(x)= and g(x) = x²+5x.
For (f×g)(x) = f(x) * g(x) .
Plug the values
(f×g)(x) = * x²+5x.
(f×g)(x) =
On taking x common from the numerator
(f×g)(x) = .
(f×g)(x) = x +5.
Therefore, (f×g)(x) = x +5.
Answer: (x - 3)^2 = -24(y + 3)
Step-by-step explanation:
To find the equation of the parabola in standard form, we can use the formula (x - h)^2 = 4p(y - k), where (h, k) is the vertex and p is the distance between the vertex and the focus.
Given that the directrix is y = 3 and the focus is (3, -3), we can see that the parabola opens downward.
The focus is (h, k + p) = (3, -3) and the directrix is y = k - p = 3. By comparing the y-coordinates, we can find p.
-3 = 3 + p
p = -6
Substituting the values into the formula, we get:
(x - 3)^2 = 4(-6)(y - (-3))
So, the equation of the parabola in standard form is (x - 3)^2 = -24(y + 3).