5 * 1.5 = 7.5
7.5 + 5 = 12.5
The puppy weighs 12.5 oz. after 5 weeks.
Answer:
![g(x) = x^2+7x+12](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%5E2%2B7x%2B12)
Step-by-step explanation:
If we are given a function <em>f</em> and we want to shift it <em>a</em> units horizontally, the resulting function will be f(<em>x</em> - <em>a</em>), where a positive <em>a</em> is a shift rightwards and a negative <em>a</em> is a shift leftwards.
We have the function:
![f(x)=x^2+3x+2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2%2B3x%2B2)
And we want to shift it two units to the left.
Since we want to shift it two units to the left, <em>a</em> = -2. Therefore, our new function, let's call it <em>g</em>, must be f(<em>x</em> - (-2)) or f(<em>x</em> + 2). Substitute:
![g(x) = f(x+2)=(x+2)^2+3(x+2)+2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20f%28x%2B2%29%3D%28x%2B2%29%5E2%2B3%28x%2B2%29%2B2)
Simplify. Expand:
![g(x) = (x^2+4x+4)+(3x+6)+2](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%28x%5E2%2B4x%2B4%29%2B%283x%2B6%29%2B2)
Combine like terms. Hence:
![g(x) = x^2+7x+12](https://tex.z-dn.net/?f=g%28x%29%20%3D%20x%5E2%2B7x%2B12)
I'm going to assume that you meant 450kg for the combined weight, 190kg more and 3 Llamas. I'm pretty sure Llamas and Okapis don't weigh 450450450kg (that's 993,073,252 pounds). :)
x= Okapi weight
y= Llama weight
EQUATIONS:
There are 2 equations to be written:
1) 450kg is equal to the weight of one Okapi and one Llama
450kg= x + y
2) The weight of 3 llamas is equal to the weight of one Okapi plus 190kg.
3y=190kg + x
STEP 1:
Solve for one variable in one equation and substitute the answer in the other equation.
450kg= x + y
Subtract y from both sides
450-y =x
STEP 2:
Substitute (450-y) in second equation in place of x to solve for y.
3y=190kg + x
3y=190 + (450-y)
3y=640 -y
add y to both sides
4y=640
divide both sides by 4
y=160kg Llama weight
STEP 3:
Substitute 160kg in either equation to solve for x.
3y=190kg + x
3(160)=190 + x
480=190 + x
Subtract both sides by 190
290= x
x= 290kg Okapi weight
CHECK:
3y=190kg + x
3(160)=190 + 290
480=480
Hope this helps! :)
The answer is finally and most likely 2
Answer:
Paul has 83 cards in total.
Step-by-step explanation:
Add the two stacks together.