Answer:
The y-intercept of the function is: b=10
Step-by-step explanation:
Given the table
x y
1 8
2 6
3 4
4 2
Taking any two points to find the slope
The slope between (1, 8) and (2, 6) is:
We know that the slope-intercept form of the line equation is
where m is the slope and b is the y-intercept.
Substituting m=-2 and any point i.e. (1, 8) in the slope-intercept form of the line equation to find the y-intercept (b).
8 = -2(1) + b
8 = -2 + b
b = 8+2
b = 10
Thus, the y-intercept of the function is: b=10
For example, think about 8.4 - 2.9.
You have to regroup because you can't subract 4 - 9.
4 turns into a 14 since you borrow from the left number, 8.
8 turns into a 7 after that.
Now, you have to subtract 14 - 9 and 7 - 2. You're answer is 5.5.
You can check your work by doing inverse opperations:
By adding:
5.5 + 2.9 = 8.4
Or by subracting 8.4 - 5.5 = 2.9
Hope this helped you! If you need a better explaination or another example, I will be happy to help you! :)
Answer:
Paige’s net income for December is $950
Step-by-step explanation:
Here in this question, we are interested in calculating Paige’s net income for December
Mathematically;
Net income = Monthly wage - Total Expenses
From the question, monthly wage = $1,850 while the total expenses = $900
Thus, the net income will be ; $1,850 - $900 = $950
Answer:
C . Sample : 6 boy and 7 girls
Step-by-step explanation:
Data :
Boys = 150
Girls = 175
So ratio between boys and girls
175/150 = 1.67
So when boy is 6
6 ×1.667 = 7
Answer:
The ratios are equivalent.
Step-by-step explanation:
If you multiply both 5 and 6, the ratio stays the same.
5:6 = 10:12 = 15:18 = 20:24 etc.
You can try this by dividing the larger number by the smaller number. You'll always get 1.2 as the "relationship", or ratio, is preserved.
24/20 = 1.2
15/18 = 1.2
10/12 = 1.2
6/5 = 1.2
