All categories

4 years ago

Need help with writting an linear equation

Mathematics

1 answer:

AleksAgata [21]4 years ago

8 0

Answer:

Step-by-step explanation:

Let y represent the cost of buying the ticket.

Let x represent the number of days

in which the ticket was purchased before the departure day.

The relationship is inversely proportional because as x is reducing, y is increasing. The slope of the equation would be negative

Thus,

Slope = (239 - 189)/(0 - 20 = - 50/20 = - 2.5

If we apply the slope intercept form which is expressed as y = mx + c to model the equation, the y intercept, c would be 239 since it is the y value at which x = 0

The linear function used to model the situation becomes

y = - 2.5x + 239

The cost of the ticket when Marcus buys it for 3 days before his departure would be

y = - 2.5 × 3 + 239

y = - 7.5 + 239

y = $231.5

You might be interested in

Need answer asappp!!!

san4es73 [151]

It would be 5/12! hope this helped

4 0

3 years ago

20g bigger or less than 0.02

beks73 [17]

It is bigger than 0.02 because 20 is bigger and "G" means it is big

7 0

4 years ago

Find the surface area of the regular pyramid shown in the accompanying diagram. If necessary, express your answer in simplest ra

Oksana_A [137]

Answer:

The area of the pyramid is 360 unit²

Step-by-step explanation:

Given

Base Edge, a = 10

Height, h = 12

Required

Determine the surface area

The surface area of a regular pyramid is calculated as thus;

$A = a^2 + 2a\sqrt{\frac{a^2}{4} + h^2}$

Substitute values for a and h

$A = 10^2 + 2 * 10 * \sqrt{\frac{10^2}{4} + 12^2}$

Evaluate all squares

$A = 100 + 2 * 10 * \sqrt{\frac{100}{4} + 144}$

$A = 100 + 2 * 10 * \sqrt{25 + 144}$

$A = 100 + 2 * 10 * \sqrt{169}$

Take positive square root of 169

$A = 100 + 2 * 10 * 13$

$A = 100 + 260$

$A = 360$

<em>Hence, the area of the pyramid is 360 unit²</em>

4 0

3 years ago

-×^2 - 7x + 7 = -2x^2 to the nearest tenth.

yulyashka [42]

Solving Quadratic Equations

The general form of a quadratic equation is:

$ax^2+bx+c=0$

It can be solved by using the formula:

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

we have the following equation:

$-x^2-7x+7=-2x^2$

we need to put this equation in standard form as explained above

Adding 2x^2:

$\begin{gathered} 2x^2-x^2-7x+7=-2x^2+2x^2 \\ \text{Simplifying:} \\ x^2-7x+7=0 \end{gathered}$

Now we have the equation in the correct form, we find the value of the variables as follows:

a=1, b=-7, c=7

Applying the formula:

$x=\frac{-(-7)\pm\sqrt[]{(-7)^2-4(1)(7)}}{2(1)}$

Operating:

$x=\frac{7\pm\sqrt[]{49-28}}{2}=\frac{7\pm\sqrt[]{21}}{2}$

The square root of 21 is not exact, we use two decimals so far, and we'll round to one decimal at the very last time.

Taking the square root:

$\begin{gathered} x=\frac{7\pm4.58}{2} \\ We\text{ have two solutions:} \\ x=\frac{7+4.58}{2}=7.79 \\ x=\frac{7-4.58}{2}=1.21 \end{gathered}$

The solutions (to the nearest tenth) are:

x= 7.8

x=1.2

Answer complete

Did you understand the explanation?

You are very welcome!

Feel free to let me know how I did by rating our session once you close it

5 0

2 years ago

What is 5.5 divided by 1.68<br> WITH STEP BY STEP EXPLANATION

Marrrta [24]

=3.273

Steps:
Use a calculator
Press on 5.5
Then press the division sign
Press 1.68
Then press =

5 0

3 years ago