If I understand correctly, you went wrong because you solved for Y instead of M, like the question dictates.
Answer:
3
Step-by-step explanation:
f(x) = 2x^2 + 1
f(-1) means that wherever you see an x on the right hand side, you substitute -1.
f(-1) = 2(-1)^2 + 1 = 2 + 1 = 3
Answer: 3x + 4y = - 26
Explanation:
1) the standard form is Ax + By = C
2) given: y + 5 = - (3 / 4) (x + 2)
3) multiply both sides by 4:
4y + 20 = - 3 (x + 2)
4) expand the parenthesis using distributive property:
4y + 20 = -3x - 6
5) transpose -3x and 20
4y + 3x = - 20 - 6
6) combine like terms
4y + 3x = - 26
7) rearrange:
3x + 4y = - 26
That is the standard form of the linear equation given.
Given -
y > - x + 3
To Find -
The points which is NOT a solution to the inequality
Step-by-Step Explanation -
We will put the value of each in inequality and then see if it satisfies the given condition or not.
a. ( -2,6)
So, x = -2 and y = 6 in y > - x + 3
= 6 > - (-2) + 3
= 6 > 5 (Correct Solution)
b. (5,-1)
So, x = 5 and y = -1 in y > - x + 3
= -1 > -5 + 3
= -1 > -2 (Correct Solution)
c. (2,0)
So, x = 2 and y = 0 in y > - x + 3
= 0 > -2 + 3
= 0 > 1 (Incorrect Solution)
d. (0,3)
So, x = 0 and y = 3 in y > - x + 3
= 3 > -0 + 3
= 3 > 3 (Incorrect Solution)
Final Answer -
The points which is NOT a solution to the inequality =
c. (2,0)
d. (0,3)
Answer:
comic books = 2
magazines = 15
Step-by-step explanation:
Let c = number of comic books bought
Let m = number of magazines bought
He bought 17 items, so
c + m = 17
Comic books cost $4 each and magazines cost $3 each.
He spent $53 on comic books and magazines, so
4c + 3m = 53
Rearrange c + m = 17 to make m the subject:
m = 17 - c
Substitute m = 17 - c into 4c + 3m = 53 and solve for c:
4c + 3(17 - c) = 53
⇒ 4c + 51 - 3c = 53
⇒ c = 2
Substitute c = 2 into m = 17 - c to and solve for m:
m = 17 - 2 = 15
