Gerald has two freelance jobs. The income he can make from his first job can be represented by the function m(x)=408x+327 where x is the number of weeks he works the income he can make from his second job is represented by the function a(x)=x^2+61x. Which function best describes d(x) the income he can make from both jobs

d(x) = + 469x + 327  

Step-by-step explanation:

m(x)=408x+327         First job

a(x)=+61x              Second job

To create a function to describe the income from both jobs, we would add the functions together.

d(x) =  + 61x + 408x + 327   Add like terms

d(x) = + 469x + 327        

b is 38 degrees.

a is 52 degrees.

this is because if b is 38 and a is 14 degrees more than b than 38+14=52 and 52+38=90 degrees. hope this .

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.