Answer:
12(n-3)
Step-by-step explanation:
Let
n -----> the number
1) The algebraic expression of "the sum of a number and negative 3" is equal to subtract 3 from the number
n+(-3)=n-3
2) The algebraic expression of "the product of 12 and the sum of a number and negative 3" is equal to multiply by 12 the sum of a number and negative 3
so
12(n-3)
Answer:
the desired equation is y = (-1/5)x - 5.
Step-by-step explanation:
Parallel lines have the same slope. Here that slope is -1/5.
Let's use the slope-intercept form of the equation of a straight line:
y = mx + b
We know this new line passes through (-10, -3). Substitute -3 for y in y = mx + b, as well as -10 for x and -1/5 for m:
-3 = (-1/5)(-10) + b and solve for b:
-3 = 2 + b. Then b = -5, and the desired equation is y = (-1/5)x - 5.
Number the tables as follows:
1 2
3 4
Eliminate 3 and 4 immediately, because for x = 2 the y values are wrong (3 and 1).
In tables 1 and 2, the input (1) produces the correct output (-1).
So we have to determine which table agrees 100% with the system of equations given.
Comparing tables 1 and 2, row by row, we see that their contents are the same EXCEPT for the first rows. So focus on determing which of those 2 rows displays values that satisfy both given equations.
First I looked at y=2x-5, and subst. -1 for x. I got -7, which is correct in table 1 but not in table 2 (where the value would be -13).
Thus, table 1 correct represents the solution of the system of equations.
Answer:
problems to complete. Then he assigned each student 2 more problems. 30 problems were assigned in
all.
2. Five students came for after-school tutoring. Priya’s teacher assigned each of them the same number of
problems to complete. Then she assigned 2 more problems to one of the students. 27 problems were
assigned in all.
Answer:
Step-by-step explanation:
