Answer:
x = -4
Step-by-step explanation:
–2x + 1 – (–7x + 3) = –4 + 3(x – 2)
-2x + 1 + 7x - 3 = -4 + 3x - 6
-2x + 7x - 3x = -4 - 6 - 1 + 3
2x = -8
x = -8/2
x = -4
Answer:
The x-intercepts are the points (-4,0). (2,0) and (9,0)
The location of the x-intercepts in the attached figure
Step-by-step explanation:
we know that
The x-intercepts of a function are the values of x when the value of the function is equal to zero
we have

using a graphing tool
The x-intercepts are the points (-4,0). (2,0) and (9,0)
see the attached figure
Let p be: John goes to the beach
Let q be: He will go surfing.
Then in symbolic form, the argument becomes:

p ⇒ q
p
---------------------
∴ q
An argument is valid if the conjuction of the premises implies the conclusion.
p | q | p ⇒ q | (p ⇒ q) ∧ p | [(p ⇒ q) ∧ p] ⇒ q
---------------------------------------------------------------------\
F | F | T | F | T
F | T | T | F | T
T | F | F | F | T
T | T | T | T | T
The table above shows that the argument is a tautology.
Hence, the argument is valid
Answer:
b. an = 2 • (-3)^(n - 1)
Step-by-step explanation:
Before we test a solution or two, we can easily discard most of them.
We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). <u>That already excludes answers A and C.</u>
Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.
We can test both D and B with n = 2, to obtain -6
Let's test answer D before:

The result is -54, not -6... so it's not the right result.
Let's test answer B then:

Right! Let's verify with n=5 to get 162:

Confirmed, answer is B. an = 2 • (-3)^(n - 1)
Answer:
similar = only the angles are the same
congruent = angles and sides are the same