Answer:
200 Miles
Step-by-step explanation:
Solving:
47.98+.14x=51.98+.12x
.14x=4+.12x
.02x=4
x=200
Checking:
47.98+.14(200)
75.98
51.98+.12(200)
75.98
Answer:
yes
Step-by-step explanation:
There are several ways to go at this.
My first choice is to use a graphing calculator. It shows the function has a zero at x=5, so x-5 is a factor.
Another good choice is to use synthetic division (2nd attachment). If the remainder is zero, then x-5 is a factor. It is and it is.
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You can also evaluate the function at x=5. The remainder theorem tells you that if the value is zero, then x-5 is a factor. Evaluating the polynomial written in Horner form is a lot like synthetic division.
(((x -4)x -15)x +58)x -40 for x=5 is ... (-10·5 +58)5 -40 = 40-40 = 0
The value of h(5) is zero, so x-5 is a factor of h(x).
g(x)= 3k-2x²
g(-3)=-6 ____(1)
So, using (1),
-6 = g(-3)
=> -6 = 3k - 2(-3)²
=> -6 = 3k - 2(9)
=> -6 = 3k - 18
=> -6 +18 = 3k
=> 12 = 3k
=> 12/3 = k
=> 4 = k
Now, you can find g(n) for any number n, as now we know the value of k. Specify the value of x, if you want to know what is g(x).
The equasion she would use would be 60,000 = 1000x + 40,000
this would means 1,000 times a number plus the 40,000 shes already getting equals 60,000
Given:
and
, AE = BF, and ED = FC.
We prove that AD = BC as follows:
Statement Reason
1.
and
Given
2. AE + ED = AD Segment Addition Postulate
BF + FC = BC
3. AE = BF and ED = FC Given
4. BF + FC = AD Substitution
5. AD = BC Transitivity property