Answer: The equation that represents the give situation is, y = 0.75 x + 12
Step-by-step explanation:
Here, x represents the number of batteries the child bought and y represents the total cost.
Since, the cost of one batteries = $ 0.75
⇒ The cost of x batteries = 0.75 x
The cost of one toy = $ 12
Hence, the total cost = The cost of one toy + The cost of x batteries
= y = 0.75 x + 12
Which is the required equation that represents the given situation.
Answer:
A. (3,1)
B. g(x)=|x-3|+6
C. h(x)=-|x-3|-6
Step-by-step explanation:
A. To graph the absolute value function f(x) = |x - 3| + 1, first graph the parent absolute value function y=|x| and then translate it 3 units to the right and 1 unit up (see green graph in attached diagram). The vertex of the function f(x) is at point (3,1).
B. The function g(x) translates f(x) 5 units up, so its equation is
g(x)=f(x)+5
g(x)=|x-3|+1+5
g(x)=|x-3|+6
Blue graph in attached diagram.
C. The function h(x) reflects g(x) over the x-axis, so the equation of the function h(x) is
h(x)=-g(x)
h(x)=-(|x-3|+6)
h(x)=-|x-3|-6
Red graph in attached diagram.
We can set this problem up as an algebraic equation, which we can then solve to find our answer.
We start at -3. So we can start our equation with that:

However, this doesn't represent any change in temperature, just that we start at -3. To show change, we will use the variable
, where
stands for the number of hours. Each hour accounts for a change of -2.5 in degrees, meaning that we must multiply our
by -2.5. We can now add this term into our equation:

We are trying to find when we will reach -18 degrees, so we will set our entire equation equal to -18 and solve:



It will take us 6 hours, or choice A.
Answer:
12
Step-by-step explanation:

Hope this helps!
Answer:
4/4 or 1
Step-by-step explanation:
3/4 (75%) and 1/4 (25%) add them up and you get 1, (100%) or 4/4.