Question 11

(03.03)

the equation below represents function a and the graph represents function b:

function a

f(x) = -2x + 1

function b

graph of line going through ordered pairs negative 1, negative 5 and 2, 1 and 3, 3

which equation best compares the slopes of the two functions?

a. slope of function b = 2 × slope of function a.

b. slope of function a = slope of function b

c. slope of function a = 2 × slope of function b

d. slope of function b = - slope of function a

Option d:slope of function B=- Slope of function A.

Step-by-step explanation:

We are given that one equation for function A and the graph for function B

Function A

Function B : The graph of line going through ordered pair (-1,-5) and (2,1) and (3,3)

The equation of a line passing through two points and is given by

The equation of function B passing through the points (-1,-5) and (2,1)

Where

The equation of function B passing through the points (-1,-5) and (2,1)

The equation of function B passing through the points (-1,-5) and (2,1)

The equation of function B passing through the points (-1,-5) and (2,1)

The equation of function B   passing through the points (-1,-5) and (2,1)

The equation of function B  passing through the points (-1,-5) and (2,1) is given by

Therefore, slope of function B=2

By comparing with the equation of line

Slope of function A= -2

Therefore, slope of function B=- Slope of function A.

Hence, option d is true.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

answer: 100

step-by-step explanation: