Answer: True
Step-by-step explanation:
We can simplify each of the expressions on either side to see if they are equal.
Left side: -5+7=7-5= 2
Right side: 7+-5=7-5= 2
Yes, they are equal.
Answer: 18 gallons.
Step-by-step explanation:
Let's call the total gallons that the container can hold <em>x.</em>
<em> </em>Then, based on the information given in the problem, you can write the following expression:
Now, you must solve for x, as you can see below. Therefore, you obtain the following result:
9514 1404 393
Answer:
16) No
17) (c)
Step-by-step explanation:
For a lot of multiple-choice matrix problems, a simple test is all that is needed to determine the correct answer.
16) The determinant of A is (-2)(-2) -(2)(-3) = 10. So, we expect to see values in the inverse matrix that are 0.2 and 0.3. Alas, they're not there. The matrices are not inverses.
A^-1 = [[-.2, .3][-.2, -.2]]
__
17) The matrices are both 3×3, so their product is possible (eliminates choice D). The upper left term is different among the answer choices, so we can determine the correct one by computing that term only.
BA=C
c11 = (5)(1) +(7)(5) +(3)(-1) = 5 +35 -3 = 37
This matches the third choice (C).
If you use a calculator to compute the full matrix product, it matches choice C in all details.
X + y = 1.....multiply by -2
2x - 3y = -30
-----------------
-2x - 2y = -2 (result of multiplying by -2)
2x - 3y = -30
----------------add
-5y = -32
y = -32/-5
y = 32/5 or 6.4 <===
