Tucker was asked to solve the equation 5x + 3 = 6x + 1. He did not know if his first step should be to add 5 negative x-tiles, o

Kane is preparing for a marathon and initially runs 3 miles each training session, planning to extend his distance by a quarter mile each week. Denote w as the number of weeks; construct an expression that reflects the distance Kane covers during a training session after w weeks. The solution is given by: (11 + w) / 4. Explanation: He starts with 3 miles per session and adds 1/4 mile weekly. Thus, after w weeks, the distance becomes: = 3 + (w - 1) × 1/4 = 3 + (w/4 - 1/4) = (12 + w - 1) / 4 = (11 + w) / 4.

Answer:

Her weekly expenses amount to $25.

Detailed reasoning:

Given: Jessica earns commissions for every sale but must cover her own spending costs.

She expresses her income function as , where x represents the number of doors she approaches in a week and E(x) denotes her weekly earnings in dollars.

To determine: What are plausible meanings for the y-intercept in Jessica's earnings function?

Working it out:

x symbolizes the doors knocked per week

E(x) reflects her weekly total earnings in dollars.

Calculating the y-intercept:

Set x = 0

Given that E(x) is the net earning after expenses,

the value 25 corresponds to her weekly expenses.

Since she is responsible for covering costs,

if she makes zero sales, these expenses still apply.

Therefore, the y-intercept realistically represents her $25 weekly expenses.

In this problem, the point-slope form of a line is defined as:

Where:

represents a point on the line,

and m stands for the slope.

Given the details:

Substitute the values:

Thus, the equation of the line is:

Answer:

Answer:

Thirty-seven thousand fifteen point zero eight

Step-by-step explanation:

You can utilize the Pythagorean theorem expressed as a^2 + b^2 = c^2... if b is unknown, you can rearrange the formula. Hence, c^2 - a^2 = b^2. Squaring 47 gives 2209 and squaring 13 yields 169... Subtracting gives you 2209-169, which results in 2040. Taking the square root of that yields approximately 45.166359, which can be rounded to 45 or as 45.167 when expressed to two decimal places. I hope this helps!:)