Answer:
area of figure= area of rectangle+area of semi-circle
area of rectangle= length ×width
5×4
= 20in²
area of semi circle= 1/2πr²
1/2×22/7×2×2
<u>2</u><u>2</u><u>×</u><u>2</u>
7
<u>4</u><u>4</u>
7
= 6.29in²
area of figure= 20+6.29
= 26.29in²
Answer:
(f + g)(x) = 12x² + 16x + 9 ⇒ 3rd answer
Step-by-step explanation:
* Lets explain how to solve the problem
- We can add and subtract two function by adding and subtracting their
like terms
Ex: If f(x) = 2x + 3 and g(x) = 5 - 7x, then
(f + g)(x) = 2x + 3 + 5 - 7x = 8 - 5x
(f - g)(x) = 2x + 3 - (5 - 7x) = 2x + 3 - 5 + 7x = 9x - 2
* Lets solve the problem
∵ f(x) = 12x² + 7x + 2
∵ g(x) = 9x + 7
- To find (f + g)(x) add their like terms
∴ (f + g)(x) = (12x² + 7x + 2) + (9x + 7)
∵ 7x and 9x are like terms
∵ 2 and 7 are like terms
∴ (f + g)(x) = 12x² + (7x + 9x) + (2 + 7)
∴ (f + g)(x) = 12x² + 16x + 9
* (f + g)(x) = 12x² + 16x + 9
I find it best to switch everything exponents when taking derivatives.
F(x) = 7/x
Same as..
F(x) = 7x^-1
Take derivative..
F'(x) = -7x^-2
Plug in x = 1
F'(1) = -7(1)^-2
F'(1) = -7
Answer:
C. Directrix and Focus
Step-by-step explanation:
Given choices are :
A. Locus and Directrix
B. Axis and vertex
C. Directrix and Focus or
D. Vertex and Locus
Now we need to find about which of the above choices are the exact same distance from a parabola.
By definition of parabola, vertex lies at equal distance from directrix and focus.
Hence choice C. Directrix and Focus is correct.
g(x)= 3k-2x²
g(-3)=-6 ____(1)
So, using (1),
-6 = g(-3)
=> -6 = 3k - 2(-3)²
=> -6 = 3k - 2(9)
=> -6 = 3k - 18
=> -6 +18 = 3k
=> 12 = 3k
=> 12/3 = k
=> 4 = k
Now, you can find g(n) for any number n, as now we know the value of k. Specify the value of x, if you want to know what is g(x).
