Answer:
<em> x = -3</em>
Step-by-step explanation:
A line has equation: y = ax + b
This line has slope a = 1
This line passes (4, 1)
=> 1 = 4 + b
=> b = -3
=> The equation of this line : y = x - 3
This line passes another point (x, -6)
=> -6 = x - 3
=> x = -6 + 3
=> x = -3
Answer:
b. (2, 5, 3)
Step-by-step explanation:
Trying the offered choices seems the fastest way to find the answer. The second choice works in all equations, hence is the solution.
Another strategy you can use is to see if the equations are dependent. Here, it looks like adding twice the third equation to the other two eliminates at least the x- and y-variables. If that eliminates z, then there are infinite solutions. Instead, it gives the equation ...
7z = 21
z = 3 . . . . . divide by 7
This answer is consistent with choice B, confirming that answer and eliminating the other choices.
Remainder Theorem: when a polynomial <em>P(x) </em>is divided <em>by (x - a), </em>the remainder is <em>P(a).</em>
<em />
Given expression:
In this case:
To know the reminder, we have to plug in the value of <em>z </em>in the polynomial:
Simplifying:
Answer: The remainder is 15.
Answer:
Students collected
pounds of paper;
pounds of cans;
pounds of paper and cans combined in September and October.
Step-by-step explanation:
In September, the students collected 85 pounds of paper and 18 pounds of cans to recycle.
In October, their goal is to collect three times the amount of paper and five times the amount of cans they collected in September.
Hence, in October they collected
pounds of paper;
pounds of cans.
In total, they collected
- pounds of paper;
- pounds of cans;
- pounds of paper and cans combined in September and October.
Answer:
Z=16
Step-by-step explanation:
just add 12 to both sides so you are left with only Z on one side
