Answer:
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: where m is the slope (also called the gradient) and b is the y-intercept (the value of y when x is 0)
<u>1) Plug the gradient into the equation (b)</u>
We're given that the gradient of the line is 4. Plug this into as m:
<u>2) Determine the y-intercept (b)</u>
Plug in the given point (1,10) as (x,y) and solve for b
Subtract 4 from both sides to isolate b
Therefore, the y-intercept of the line is 6. Plug this back into as b:
I hope this helps!
Answer:
A. 15 mo; $875
B. 5 mo; $250
Step-by-step explanation:
A. <em>Gym fees
</em>
Let n = no. of months
<em>Community Gym</em>: Fees = 50 + 55n
<em>Workout Gym:</em> Fees = 200 + 45n
When the fees are equal,
50 + 55n = 200 + 45n Subtract 50 from each side
55n = 150 + 45n Subtract 45n from each side
10n = 150 Divide each side by 10
n = 15
<em>Community Gym</em>: Fees = 50 + 55n
Fees = 50 + 55×15
Fees = 50 + 825
Fees = $875
<em>Workout Gym</em>: Fees = 200 + 45n
Fees = 200 + 45×15
Fees = 200 + 675
Fees = $875
After 15 mo, the fees at each gym will be equal at $875.
B. <em>Computer
</em>
Option 1: Savings = 200 + 10n
Option 2: Savings = 100 + 30n
When the savings are equal,
200 + 10n = 100 + 30n Subtract 100 from each side
100 + 10n = 30n Subtract 10n from each side
100 = 20n Divide each side by 20
n = 5
<em>Option 1</em>: Savings = 200 + 10n
Savings = 200 + 10×5
Savings = 200 + 50
Savings = $250
<em>Option 2</em>: Savings = 100 + 30n
Savings = 100 + 30×5
Savings = 100 + 150
Savings = $250
After five months, the savings by either option will be equal at $250.
Answer:
81.75%
Step-by-step explanation:
98 percent on a 60 point test is 59/60
65.50+98/2 = 81.75%
Answer:
Definition of exterior lines. : lines of operations of one or more armed forces converging upon a centrally situated opponent.
Step-by-step explanation: