Q1. The answer is 19.
<span>f(x)=2x+8
</span><span>g(x)=5
(f + g)(x) = f(x) + g(x)
(f + g)(3) = f(3) + g(x)
f(3) = 2 * 3 + 8 = 6 + 8 = 14
g(3) = 5
</span>(f + g)(3) = f(3) + g(x) = 14 + 5 = 19
Q2. The answer is -22.
<span>f(x)= -2x+8
g(x)=5x
</span>
(f o g)(x) = f(g(x))
(f o g)(3) = f(g(3))
g(3) = 5 * 3 = 15
(f o g)(3) = f(g(3)) = f(15) = -2 * 15 + 8 = -30 + 8 = -22
Answer:
Option C) 1.06[7t + 0.75(15)]
Step-by-step explanation:
Lets analyse the given information and 'build-up' our equation step-by-step.
Each plant costs $7 dollars, and Stephani will be buying a few plants. So we can name the number of plants as , therefore we have our first term of our general expression ( ) as:
Stephanie will buy one shovel that costs $15 dollars, thus our expression now becomes:
Now she will be using a coupon of 25% off the cost of the shovel. Therefore the actual cost Stephanie will be paying is % %. Thus our expression will be
Finally we know there is a Sales Tax of % which is equivalent to . Now considering you have a general amount , the Sales Tax is applied as follow: . Similarly then in our case and with the sales tax applied we have:
Thus the correct option is Option C. 1.06[7t + 0.75(15)]
The correct answer is:
[C]: "
" .
____________________________________________________Explanation:____________________________________________________Given:
____________________________________________________ 2 / (9x) = 4 / 7 ; solve for "x" ;
____________________________________________________Cross-multiply:
→ (9x)*4 = 2 * 7 ;
→ 36x = 14 ;
Divide each side of the equation by "36" ;
to isolate "x" on one side of the equation; & to solve for "x" ;
→ 36x / 36 = 14 / 36 ;
x = 14/ 36 ;
→ x = 14/36 = (14÷2) / (36÷2) = 7/18 ;
______________________________________________________
The answer is: "
" ;
→ which is:
Answer choice: [C]: "
" .
______________________________________________________
Answer:
The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Step-by-step explanation: