What is the area of a square if one side is 40 inches long? Answer next to this => in²

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Anit [1.1K]

Answer:

a) There will be approximately a water depth of 7.5 meters after 3h

b) Approximately 2.5 hours have passed when there is 8 m of water in the tank.

Step-by-step explanation:

a) Look for the y-value when the x-value is 3.

b) Look for the x-value when the y-value is 8.

*The y-axis is the depth (m), and the x-axis is the time (h).

7 0

2 years ago

What are the coordinates of the vertex of the function below write your answer in the form y-9= -6(x-1)^2

Oliga [24]

Answer:

The co-ordinates of the vertex of the function y-9= -6(x-1)^2 is (1, 9)

<u>Solution:</u>

Given, equation is $y-9=-6(x-1)^{2}$

We have to find the vertex of the given equation.

When we observe the equation, it is a parabolic equation,

We know that, general form of a parabolic equation is $y-9=-6(x-1)^{2}$

Where, h and k are x, y co ordinates of the vertex of the parabola.

$\text { Now, parabola equation is } y-9=-6(x-1)^{2} \rightarrow y=-6(x-1)^{2}+9$

By comparing the above equation with general form of the parabola, we can conclude that,

a = -6, h = 1 and k = 9

Hence, the vertex of the parabola is (1, 9).

7 0

2 years ago

I need help with this because I don’t understand

GalinKa [24]

Answer:

x=1+√5 or x=1−√5

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

James has a job with a current salary of $42,000. He wants to earn a college degree that will take him 2 years to complete and i

FinnZ [79.3K]

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Further Explanation:

Given:

The current salary of James is $\$ 42000.$

The time taken to complete the college degree is $2{\text{ years}}.$

The cost of the college degree is $\$ 28000.$

The James’ new salary after college degree will be $\$ 56000.$

Calculation:

The total investment of James can be calculated as follows,

$\begin{aligned}{\text{Investment}} &= {\text{Salary of 2 years}} + {\text{2 years tuition fees}} \\&= 2 \times 42000 + 2 \times 28000\\&= 84000 + 56000\\&= \$ 140000\\\end{aligned}$

The total investment for 2 years will be $\$ 140000.$

The James’ new salary after college degree will be $\$ 56000.$

The time taken by James to recover $\$ 140000.$

$\begin{aligned}{\text{Time}} &= \frac{{140000}}{{56000}}\\&= 2.5{\text{ years}}\\\end{aligned}$

To recover the investment James will take $\boxed{2.5{\text{ years}}}.$

Learn more:

Learn more about inverse of the function brainly.com/question/1632445
Learn more about range and domain of the function brainly.com/question/3412497
Learn more about profit and loss brainly.com/question/2479097

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment and return

Keywords: James, job, current salary, salary, $42000, earn, college, college degree, 2 years, complete, graduation, cost, $28000, per year, investment, recover, new salary, work, able, school, full time.

6 0

3 years ago

Read 2 more answers

Describe a scenario where the function value exists at x=c, but the limit does not exist.

Vikki [24]

The scenario can be described using a piecewise function like:

f(x) = 1/x if x < c.

f(x) = x if x = c

f(x) = 1/(x + 73) if x > c.

<h3>When the value exists but the limit does not?</h3>

Remember that the limit only exists if the limit from left and the limit from the right give the same value.

Then, we can just define a piecewise function of the form: