Answer:
B) y = x + 2 and y = -x - 4
Step-by-step explanation:
Let the equation of a straight line with x-intercept 'a' and y-intercept 'b' be
The line with positive slope has x-intercept a=-2 and y-intercept b=2.
Its equation is:
Multiply through by 2
Solve for y,
For the line with a negative slope,
the x-intercept is a=-4 and the y-intercept is b=-4
Its equation is
Multiply through by -4
Solve for y
Answer: r = 2/3
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = 36
The 4th term is 32/3
n = 4
Therefore,
T4 = 32/3 = 36 × r^(4 - 1)
32/3 = 36 × r^3
Dividing both sides if the equation by 36, it becomes
32/3 × 1/36 = r^3
8/27 = r^3
Taking cube root of both sides of the equation, it becomes
(8/27)^1/3 = r^3 × 1/3
r = 2/3
Answer: -2x^2 (3x^2 + 8)
Step-by-step explanation: a^b+c =a^b a^c
1) -16x^2 - 6x^ x^2
2) Rewrite -16 as -2 * 8
2.a Rewrite -6 as -2 * 3
= -2 * 8x^2 - 2 * 3x^2x^2
3) facter out common term: -2x^2
= ur answer
To factor a number out of an expression means to divide each term of the expression by that number.
So, if you want to factor 
from the expression 
, you'll write it as
So, in your case, when you divide both terms by -5 you get
So, the expression becomes
A) Growth: f(x) because it is getting larger exponentially due to an integer greater than 1 being raised to an exponent.
b) Decay: g(x) because it is getting smaller exponentially due to an integer less than 1 being raised to an exponent.
c) Have the lead exponent being not equal to 1.
d) Whether or not the number being raised to the exponent is greater than or less than 1.
e) f(x) because it is an exponential growth function, which none of the others are.
