The following values represent exponential function ƒ(x) and linear function g(x). ƒ(1) = 2 g(1) = 2.5
ƒ(2) = 6 g(2) = 4
a. determine whether or not there is a solution to the equation in 2-3 sentences describe whether there is a solution to the equation ƒ(x)=g(x) between x=1 and x=2. b. use complete sentences to justify your claim

There does not exist any solution of as thir graphs do not intersect.

Step-by-step explanation:

We are given that,

The values of the exponential function f(x) are f(1)= 2 and f(2)= 6.

That is, we get,

So, the function f(x) is .

Moreover, the values of the linear function g(x) are g(1) = 2.5  and g(2) = 4.

That is, the slope = = 1.5

Substituting the slope and point (1,2.5) in the linear equation , where m is the slope, we get,

i.e. b= 1

Thus, the function g(x) is .

Consider,

i.e.

Now, the function f(x) is exponentially increasing and the linear function g(x) is increasing between x= 1 and x= 2, but there is no point where the graphs of the functions are intersecting.

Thus, there is no solution of the equation .

85.560%

step-by-step explanation:

conditional probability is defined as:

p(a|b) = p(a∩b) / p(b)

in other words, the probability that a occurs, given that b has occurred = the probability that both a and b occur / the probability that b occurs.

in this example:

p(turns 64 | turns 44) = p(turns 64 & turns 44) / p(turns 44).

if someone turns 64, they must have already turned 44, so:

p(turns 64 | turns 44) = p(turns 64) / p(turns 44)

on page 42, we see that of the original 100,000, 94944 turn 44, and 81234 turn 64.   therefore:

p(turns 64 | turns 44) = 81234 / 94944

p(turns 64 | turns 44) = 0.85560

second option

step-by-step explanation:

the measures of a triangle equal 180. use that to find x.

2x+3x+4x=180

9x=180

9x/9=180/9

x=20

now you know x, you know angle a is 40°, angle b is 60°, angle c is 80°.

because angle a is 40°, the first option doesn't work.

because angle b is 60°, the second option does work.

when you add angle a and b, you get 100°. complementary means it equals 90°, so the third option doesn't work.

when you add angle a and c, you get 120°, which is not 100.