AM = 5x - 2 and MB = 2x + 19, Find the length of AB

The answer would be: -0.01

Step-by-step explanation:

1) State what is given

AM = 5x -2 and MB = 2x +19

2) Make an equation that can satisfy the problem

AM + BM = AB

This is the equation, because if I am to put this on a line,

A                        M                         B

---

You can see that is you combine the lengths AM and BM you can find the total length of  AB.

A                        M         +           M                        B    

--          +           --

(M point is actually one point, but I am trying to show that if the line were to be cut in half, then put back together you get you full length, which is AB)

3) Substitute

(5x - 2) + (2x + 19) = AB

4) Now Solve!

5x - 2 + 2x + 19 = AB

(Rearrange to combine like terms)

5x + 2x + 19 - 2 = AB

7x + 17 = AB

(That is your equation to find AB! But they want the specific length)

So...

We solve it!

7x = -17

(By moving the 17 to the other side of the = sign, it becomes negative)

7x = -17

7       7

(Dividing both sides by 7 in order to get x alone)

x = -2.43

(I rounded to the hundredths place)

Now substitute that into x into you original equation)

5(-2.43) - 2 + 2(-2.43) + 19 = AB

-12.15 - 2 - 4.86 + 19 = AB

-14.15 - 4.86 + 19

-19.01 + 19 = -0.01

= -0.01

(I believe this would be the answer, but it doesn't seem to fit right, so please understand, that if this is wrong, I AM SO SORRY ;-;)

(I tried my best on this problem, but I bet it isn't the answer, so if I get this wrong tell me so that I can remove it! :)

3.4 pizzas

step-by-step explanation:

given is a scatter plot showing number of pizzas sold during weeks for different issues of coupon

y represents number of pizzas sold and x number of coupons issued

y is marked verticaly and x horizontally

the trend line is given as

y =3.4x+43

this says that even when no coupon is issued pizzas sold will be 43

and rate of change of pizza sold for 1 unit of coupon = slope = 3.4

i.e. when x increases by 1 unit y increases by 3.4 units

hence for each additional coupon issued 3.4 pizzas more will be sold

the correct answer is x/3+10≥32

hope this !