As x increases beyond 25 which function will have the largest value? a. f(x)= 1.5x ) b. h(x)= 1.5x squared) c. g(x)= 1.5x+3,) d. k(x)=1.5x to the third + 1.5x squared) explain and show work

The function with the largest value will be

Step-by-step explanation:

we know that

As x increases beyond 25 , that means

x> 25

so

Assume  x=30

Substitute the value of x in each equation and find the value of the function, and then compare the results

case 1)

For x=30

case 2)

For x=30

case 3)

For x=30

case 4)

For x=30

therefore

The function with the largest value will be

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

c.   x=2.4cm

step-by-step explanation:

similar triangles are triangles which have the same shape but not the same size. this means their angle measures are equal but their side lengths are not instead they are proportional. to solve, we will set up a proportion and solve.

a proportion is two equal ratios set equal to each other. we form the ratios by finding corresponding sides (sides which match to each other on both triangles by their position). out ratios will be one side of the small triangle over the corresponding side on the big triangle as shown below:

.

to solve the proportion, we'll cross multiply by multiplying numerator with denominator across the equal sign.