Answer:
f) Not possible
Step-by-step explanation:
The triangles can be shown to be similar by SAS, but the corresponding sides are not marked as congruent. With the given information, it is not possible to show the triangles are congruent.
f(x) = x^2 + 6x - 7
y = x^2 + 6x - 7
y = (x - 1)(x + 7)
x + 7 = 0
x = -7
x - 1 = 0
x = 1
The x-intercepts are -7 and 1.
Since the leading coefficient is a positive, the graph will point upwards.
So, the graph of the function is D.
Answer:
$52.00
Step-by-step explanation:
if he makes 13.00 per hour, for four hours, you just times 13 by 4 to get 52.
Proof by induction
Base case:
n=1: 1*2*3=6 is obviously divisible by six.
Assumption: For every n>1 n(n+1)(n+2) is divisible by 6.
For n+1:
(n+1)(n+2)(n+3)=
(n(n+1)(n+2)+3(n+1)(n+2))
We have assumed that n(n+1)(n+2) is divisble by 6.
We now only need to prove that 3(n+1)(n+2) is divisible by 6.
If 3(n+1)(n+2) is divisible by 6, then (n+1)(n+2) must be divisible by 2.
The "cool" part about this proof.
Since n is a natural number greater than 1 we can say the following:
If n is an odd number, then n+1 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
If n is an even number" then n+2 is even, then n+1 is divisible by 2 thus (n+1)(n+2) is divisible by 2,so we have proved what we wanted.
Therefore by using the method of mathematical induction we proved that for every natural number n, n(n+1)(n+2) is divisible by 6. QED.
Answer:
40-16+10
Step-by-step explanation:
40-16+10= 34
-20+18+18= 28
the greater answer is 40-16+10
