Answer: f= 5/2x +1
Step-by-step explanation: This is really simple actually, all you have to do is take the equation and since it's "f(-2)" you plug in -2 for your variables. Hope this helps! : )
Answer: The answer for 1. is 216
The answer for 2. is 224
The answer for 3. is 90
The answer for 4. is 40
The answer for 5. should be 80
Step-by-step explanation:
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Answer: 
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Given: 
Find: 
Solution: The diagonal length can be easily determined using an equation which uses the side length of a square multiplied by the square root of 2. All we need to do is plug in the values and simplify the expression.
<u>Plug in the values</u>
<u>Simplify the expression</u>
Looking at the answer options that have been provided, the option that best fits our scenario is option A, 13.
Answer:
See verification below
Step-by-step explanation:
Remember that the Intermediate Value Theorem (IVT) states that if f is a continuous function on [a,b] and f(a)<M<f(b), there exists some c∈[a,b] such that f(c)=M.
Now, to apply the theorem, we have that f(0)=0²+0-1=-1, f(5)=5²+5-1=29, then f(0)=-1<11<29=f(5). Additionally, f is continous since it is a polynomial. Then the IVT applies, and such c exists.
To find, c, solve the quadratic equation f(c)=11. This equation is c²+c-1=11. Rearranging, c²+c-12=0. Factor the expression to get (c+4)(c-3)=0. Then c=-4 or c=3. -4 is not in the interval, then we take c=3. Indeed, f(3)=3²+3-1=9+3-1=11.
If it’s 67.8 repeating then just put a bar on top of the .8 .
