Joey has been mowing his dad's lawn every week indefinitely because his

Mathematics

1 answer:

Kisachek [45]4 years ago

6 0

Answer:

The money he makes mowing lawn can be represented by a linear function.

The function can be represented in the slope-intercept form.

the equation of the function is y=500+10x

where

y=amount of money he has earned by mowing lawns.

x=number of lawn mowing clients he has.

Step-by-step explanation:

It can be represented by a linear function (straight line) because the <em>additional</em> amounts are proportional to the number of clients he has.

The equation is

y=500+10x

where

y=amount of money he has

x=number of lawn mowing client he has.

You might be interested in

Please help me with this

Llana [10]

4 unknowns needs 4 equations. I'll call the unknown numbers a,b,c,d in that order left to right.

4 + a = b
a + b = c
b + c = d
c + d = 67

let's use substitution to get rid to combine equations and get rid of variables.
If a + b = c then a = c - b
4 + (c - b) = b
4 + c = 2b

If b + c = d then b = d - c
4 + c = 2(d - c)
4 + c = 2d - 2c
4 + 3c = 2d

then we have c + d = 67 so c = 67 - d

4 + 3(67 - d) = 2d
4 + 201 - 3d = 2d
205 = 5d
d = 41

Should be easy now, subtract backwards.

67 - 41 = 26
41 - 26 = 15
26 - 15 = 11
15 - 11 = 4

4, 11, 15, 26, 41, 67

3 0

4 years ago

What is (f⋅g)(x)? f(x)=x^2−3x+2 g(x)=x^3−8 Enter your answer, in standard form, in the box. (f⋅g)(x)=

uysha [10]

Answer:

$f(g(x))=x^{6}-19x^{3}+90$

Step-by-step explanation:

We have been given the following equations;

f(x)=x^2−3x+2

g(x)=x^3−8

We are required to determine the composite function (f⋅g)(x). This simply means that we shall substitute the function g(x) in place of x in the function f(x);

$f(g(x)) = g(x)^{2}-3g(x)+2\\\\f(g(x))=(x^{3}-8)^{2}-3(x^{3}-8)+2\\\\f(g(x))=x^{6}-16x^{3}+64-3x^{3}+24+2\\\\f(g(x))=x^{6}-19x^{3}+90$