Answer: Casey bought 6 bags of chips
Step-by-step explanation:
Let's solve the sine equation.
1. Express sine function in the left side of equation:
.
2. Use the genereal solution to get the solution of your equation:
, where 
.
3. Find 
:
.
4. Substitute part 3 into part 2 and express x:
, where 
, where 
.
5. Solutions of your equation are:
, where .
Answer:
103
Step-by-step explanation:
f(n) = 4n + 3
f(25) = 4(25) + 3 = 103
Answer:
y = (1/2)(x + 4)(x + 1)(x - 3)
Step-by-step explanation:
Since this graph begins in Quadrant III and continues growing in Quadrant I, and has three roots/zeros, we know immediately that it's a cubing function and can confidently write out
y = d(x - a)(x - b)(x - c) as one general form of the cubing function.
In this particular case we have:
y = d(x + 4)(x + 1)(x - 3) (where the '4' comes from the x-intercept (-4, 0) )
From the graph we know that y = -6 when x = 0, and therefore:
-6 = d(0 + 4)(0 + 1)(0 - 3), or -6 = d(-12), leading to d = 1/2
Then our tentative equation (above) becomes y = (1/2)(x + 4)(x + 1)(x - 3)
Answer:
In solving an equation where one fraction is equal to another fraction we can use the method of cross-multiplication
⇒x+6x=107
Now multiply the red terms together, the blue terms together and equate them.
⇒10x=7(x+6)
distribute the bracket.
