Answer:
= 270 ⇒ Last answer
Step-by-step explanation:
* If f(x) = 7 + 4x
* If g(x) = 
* We want to find
- Lets find at first 
∵ f(x) = 7 + 4x
∵ g(x) =
∴ 
- Lets divide the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is
∴ (7 + 4x) ÷
- Lets reverse the division sign to multiplication sign and reciprocal
the fraction after the division sign
∴ (7 + 4x) × 
∴ = 2x(7 + 4x)
∴ = 14x + 8x²
- Now substitute x by 5
∴ = 14(5) + 8(5)² = 70 + 200 = 270
∴ = 270
Answer:
The distance between the cars is increasing at a rate of 65miles/hour
Step-by-step explanation: Please see the attachments below
Answer:
y-2=4/3(x-2)
Step-by-step explanation:
Pick one coordinate and then plug the x value and the by value into the formula and then to find the slope and count up 4 and to the right 3.
Answer:
f^-1(x) is 6x + 48
f(x) = 1/6x - 8
To find f^-1(x) equate f(x) to y
That's
f(x) = y
y = 1/6x - 8
Next interchange the terms
We have
x = 1/6y - 8
Make y the subject
Multiply through by 6
We have
6x = y - 48
y = 6x + 48
Therefore f^-1(x) is 6x + 48
Hope this helps you
Answer:
The vertex of the parabola is;
([-1], [3])
Step-by-step explanation:
The given quadratic equation is presented as follows;
x² + 8·y + 2·x - 23 = 0
The equation of the parabola in vertex form is presented as follows;
y = a·(x - h)² + k
Where;
(h, k) = The vertex of the parabola
Therefore, we have;
x² + 8·y + 2·x - 23 = 0
8·y = -x² - 2·x + 23
y = 1/8·(-x² - 2·x + 23)
y = -1/8·(x² + 2·x - 23)
y = -1/8·(x² + 2·x + 1 - 23 - 1) = -1/8·(x² + 2·x + 1 - 24)
y = -1/8·((x + 1)² - 24) = -1/8·(x + 1)² + 3
Therefore, the equation of the parabola in vertex form is y = -1/8·(x + 1)² + 3
Comparing with y = a·(x - h)² + k, we have;
a = -1/8, h = -1, and k = 3
Therefore, the vertex of the parabola, (h, k) = (-1, 3).
