Question

how does a bee get to school? circle the letter of each correct answer in the boxes below. put the answers to the riddle. evaluate the function for the given value of x. 1. g(x)=x - 9;x = 4 2. f(x)=2x + 5;x = 3 3. h(x)= - \frac{1}{2}x - 11;x=-12 4. k(x)= - 4x + 6;x = - \frac{1}{2} 5. m(x)=15-\frac{7}{6}x;x = 24 6. n(x)=9 - 0.25x;x = 30 7. w(x)=21 - 9x - 13;x=\frac{1}{2} 8. p(x)=-\frac{1}{4}x + 30;x=-4 find the value of x so that the function has the given value. 9. m(x)=8x;m(x)= - 56 10. h(x)=-\frac{2}{7}x;h(x)=10 in exercises 11 - 13, evaluate the function at the given values of the independent variable. 11. f(x,y)=xy - 3y;f(-5,2) 12. f(x,y)=x + xy;f(6,5) 13. x + y=-4x - 9y + 1;3 + - 2 14. the local cable company charges $90 per month for basic cable and $12 per month for each additional premium cable channel. the function c(x)=90 + 12x represents the monthly charges (in dollars), where x is the number of additional premium channels. how many additional premium channels would you have ordered if your bill was $114 per month?

b i v t k t c a j e k i g e o s
4 5 - 10 \frac{17}{2} 15 36 3 12 9 0 - 21 - 4 - 18 - 7 20 - 4
m t n h s e d b r u f a z q p z
13 - 0.5 25 2 - 9 - 2 - 1 7 10 - 12 - 15 - 25 - 3 1 26 - 56

Explanation:

Step1: Identify the function for cable - charges

The function for monthly charges is $C(x)=90 + 12x$, where $C(x)$ is the monthly charge and $x$ is the number of additional premium channels.

Step2: Set up the equation

We know that $C(x)=114$, so we set up the equation $90+12x = 114$.

Step3: Solve for $x$

Subtract 90 from both sides of the equation: $12x=114 - 90$. So, $12x = 24$. Then divide both sides by 12: $x=\frac{24}{12}=2$.

Answer:

2