Answer:
70x + 490 = 40x +670
Step-by-step explanation:
Let's start with Tom's equation. So we'll start with y=mx+b. b is the amount Tom has started with(aka $490), m is the gain(aka how much money is he getting that month? it's $70) and x is month, plug in the values and you'll get:
y = 70x + 490
Okay do the same thing for Tammy, just change the values accordingly:
y = 40x + 670
Now when are they going to have the same amount of money? This will be the equation to show when they will have the same amount of money. We'll use equal values method:
70x + 490 = 40x +670
subtract 490 and 40x from both sides
30x = 180
divide both sides by 30
x = 6
So, we know now that in 6 months they will have the same amount of money.
So we know that the word 'product' means multiplication, and that means that h and 4 are being multiplied. Also, one-fifth of x is another way of saying that one-fifth is being multiplied with x. So then we can construct the equation:
![\frac{1}{5} x-(4*h)=35](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20x-%284%2Ah%29%3D35%20)
And we can then simplify this by taking out the multiplication sign:
![\frac{1}{5}x-4h=35](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7Dx-4h%3D35%20%20)
And so since we do not know what x or h is equal to, this is as far as we can go.
Supplementary and Adjacent. Because their sum must equal 180 degrees.
Answer:
-4
Step-by-step explanation:
y=mx+b
Answer:
The three transformations used are -
Vertical shift
Phase shift
Period
Step-by-step explanation:
Given - Given the function, f(x) = 3 − sin(x + π)
To find - In the function, three transformations have been applied. Briefly describe the three transformations.
Proof -
Given that, The function is f(x) = 3 − sin(x + π)
We know the
The general form of sine function is -
y = Asin(Bx + C) + D
where
A is the Amplitude
The period is ![\frac{2\pi }{B}](https://tex.z-dn.net/?f=%5Cfrac%7B2%5Cpi%20%7D%7BB%7D)
Phase (Horizontal) shift is C
Vertical Shift id D
Here, The function is f(x) = 3 − sin(x + π)
By Comparing with General form of sin function, we get
-1 is the Amplitude
The period is 2![\pi](https://tex.z-dn.net/?f=%5Cpi)
Phase (Horizonal) shift is ![\pi](https://tex.z-dn.net/?f=%5Cpi)
Vertical shift is 3
The three transformations used are -
Vertical shift
Phase shift
Period