Answer:
26x and -5x are like terms, so what you would do with these is 26x subtract -5x, which is 21x.
The final expression is:
The only pair of like terms in this expression is 26x and -5x.
Step-by-step explanation:
Answer: 2/3
Step-by-step explanation:
12 lightbulbs and 4 are broken
12-4=8
8/12
/2
4/6
/2
2/3
Jasmine is baking and selling cupcakes for $15 per dozen.
Let x be the number of dozens of cupcake made by Jasmine.
Her total sales= Sales Per Dozen X Number of Dozens of cupcake sold
= $15 X x = $15x
Since she would like to make more than $120 in cupcake sales.
It means her total sales must be greater than $120.
15x>120
x>120/15
x>8
The number line attached represents the solutions to the situation.
All integers to the right of 8 (excluding 8) satisfies the situation.
Hope this helps!:)
I believe the answer is c
Substitute the given point (3, -2) in each condition
(i) y < -3; y ≤ (2/3)x - 4
-2 < -3 → False
Therefore, it is not a solution.
[Since the values of x and y must satisfy both the conditions, if one of them does not satisfy the condition then it is not necessary to check the other one.]
(ii) y > -3; y ≥ 2/3x - 4
-2 > -3 → True
y ≥ 2/3x - 4
-2 ≥ -2 → True
Therefore, it is a solution.
(iii) y < -3; y ≥ 2/3x - 4
-2 < -3 → False
Therefore, it is not a solution.
(iv) y > -2; y ≤ 2/3x - 4
-2 > -2 → False
Therefore, it is not a solution.
Thereofore, the system of linear inequalities having the point (3, -2) in its solution set is y > -3; y ≥ 2/3x - 4. Hope it helps you.
