For matrix subtraction, you subtract the corresponding cell of the second matrix from the first. So, looking at the first spot, you have 4 (from the first matrix) - 4 (from the second matrix) = 0 (the first number in the output matrix). Continuing that for the next spot, -4 - -3 = -4 + 3 = -1. Finally, -2 - 5 = -7. This means your answer is [0 -1 -7].
For this case we can make the following rule of three:
1 cup ----------------> 128 grams
x ----------------------> 192 grams
From here, we clear the value of x.
We have then:
x = (192/128) * (1)
x = 1.5
x = 1 1/2
Answer:
She needs about 1 1/2 cups.
Answer:

Step-by-step explanation:
We have

and

We want to find (f+g)(x).
By the algebraic properties of polynomial functions,


This simplifies to

We can't simplify further, hence the simplest form
Step-by-step explanation:
g(x) = 3x² + 2
h(x) = 2x + 2
g(h(x)) = g([2x + 2]) = 3[2x+2]² + 2
= 3[4x² + 8x + 4] + 2
= 12x² + 24x + 12 + 2
= 12x²+ 24x + 14
9514 1404 393
Answer:
Step-by-step explanation:
The roots (zeros) of the function are (1, 0) and (3, 0). The point (2, 2) is the vertex, the maximum in this case.
The domain of any polynomial function is "all real numbers".
The range is y ≤ 2, not y < 2.