Answer:
We will calculate how much 18%of 500 on the following way
Step-by-step explanation:
18/100 times 100 =90
75/5 = x/7
Complete this equation and you will end up with the answer 105
Answer: 105
:)
x^3 = 5x
Subtract 5x from both sides:
x^3 - 5x = 0
Factor X out of x^3:
x(x^2-5x) = 0
Set X to 0 and solve for x:
x = 0
Set (X^2-5) to equal 0 and solve for x:
x^2 - 5 = 0
Add 5 to both sides:
x^2 = 5
Take the square root of both sides:
x = √5, -√5
The three solutions of x are 0, √5, -√5
In order from smallest to largest = -√5, 0, √5
The largest possible value is √5
The linear equation for his balance over time is given by:
y = 20x + 100.
- The x-intercept is of 20, which is the amount by which the balance increases each week.
- The y-intercept is of 100, which is the initial balance.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
In this problem, he stats the balance with the birthday present of $100, and gets an allowance of $20 a week, hence the equation for the balance after x weeks is given by:
y = 20x + 100.
Hence:
- The x-intercept is of 20, which is the amount by which the balance increases each week.
- The y-intercept is of 100, which is the initial balance.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
y = 6, RS = 35 and ST = 17
Step-by-step explanation:
Given that,
RS = 5y+5
ST = 2y+5
RT = 52
If we consider a number line,
RT = RS + ST
52 = 5y+5 + 2y+5
52 = 7y + 10
7y = 52-10
7y = 42
y = 6
RS = 5y+5
= 5(6)+5
= 35
ST = 2y+5
= 2(6) +5
= 17
Hence, this is the required solution.