Answer:
The equation y = 3x shows a proportional relationship between x and y
Step-by-step explanation:
- <em>The proportional relationship is represented graphically by a line passes through the </em><em>origin point </em>
- <em>The equation of the proportional relationship is </em><em>y = m x</em>
Let us solve the question
Substitute x by 0 to find the value of y, if y = 0, then the line represents this equation passes through the origin point, then the equation shows a proportional relationship
∵ y = 3x
∵ x = 0
∴ y = 3(0)
∴ y = 0
→ That means the line that represents the equation passes through
the origin point
∴ The equation y = 3x shows a proportional relationship between x and y
Answer:
2 raisins.
Step-by-step explanation:
Let x represent total number of required ingredient.
We have been given that Ren finds 6 peanuts, 4 raisins, 3 cranberries, and 5 chocolate chips in a handful of trail mix. We are asked to find of which ingredient Ren will have 2 pieces for a total of 9 pieces.
First of all, we will find total number of ingredients by adding each ingredient as:


Now, we will use ratio to solve for our given problem as:





Since there are 4 raisins, therefore, for every 9 pieces in Ren's handful of trail mix there are 2 raisins.
Answer:

unit rate is similar to speed / velocity:

[<em>unit</em><em> </em><em>rate</em><em> </em><em>must</em><em> </em><em>have</em><em> </em><em>units</em><em> </em><em>including</em><em> </em><em>per</em><em> </em><em><</em><em>time</em><em>></em><em> </em>]
Answer:
1) 11
2) 2
3) 
4) 
5) -2
6) 
Step-by-step explanation:
1) 2
+ 3
- 
=(2 × 2
)+ (3 × 4
) - 5
= 4
+ 12
- 5
= 11
2) 4
-2
+ 
= (4 × 2
) - (2 × 7
) + 8
= 8
- 14
+8
= 2
3) 5
- 3
= 5×
- 3×
+ 4×
+ 2×
= 
= 
4) 
= 
= 
5) 
= 
= -2
6) 
= 
= 2×
- 2×
- 
= 
= 
Hope the working out is clear and will help you. :)
the answer is (f/g)(x) = 2(x^2 - 7) + 1
= 2x^2 - 14 + 1
= 2x^2 - 13