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1 year ago

The absolute value function, shifted 1 unit downward and 5 units to the right.

Mathematics

1 answer:

neonofarm [45]1 year ago

5 0

The absolute value function is:

$f(x)=\lvert x\rvert$

To translate it we need to remember the following rules:

Using this table we conclude that the function we are looking for is:

$f(x)=\lvert x-5\rvert-1$

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Selling tickets to a

crimeas [40]

Answer:

9 dollars

Step-by-step explanation:

Solve with a system of equations

Let adult tickets be a and student tickets be s

1. 8a + 13s = 176

2. 4a + 4s = 68

3. s = 17 - a

Equation 2 is friendlier, so let's divide all the numbers by 4.

a + s = 17

Equation is s = 17 - a

Substitute s in equation 1

8a + 13(17-a) = 176

8a + 221 - 13a = 176

221 - 5a = 176

5a = 45

a = 9

The price of an adult ticket is 9 dollars

Hope this helps :)

8 0

3 years ago

Zach has a basic cell phone plan that does not include texting. He is going to add a multimedia texting package to his

attashe74 [19]

Package A is less expensive for Zach to send 250 multimedia texts each month.

Step-by-step explanation:

Given that,

Zach plans to send 250 multimedia texts each month.

Package A charges $0.25 per multimedia text with no monthly fees.

Package B charges $0.20 per multimedia text, but has a $15 monthly fee.

We need to find out which package is less expensive for Zach to add the plan.

The cost of 250 multimedia texts by package A :

⇒ Number of texts × cost per text

⇒ 250 × 0.25

⇒ 62.5

∴ The package A charges $62.5 for 250 multimedia texts.

The cost of 250 multimedia texts by package B :

⇒ (Number of texts × cost per text) + monthly fee

⇒ (250 × 0.20) + 15

⇒ 50 + 15

⇒ 65

∴ The package B charges $65 for 250 multimedia texts.

The Package A charges $62.5 which is less than package B charge of $65.

Hence, package A is less expensive.

6 0

3 years ago

Simplify. (5x^3y^2+x^2-6x^2y^3) - (3x^2y^3-4y^3+7x^2)

Zanzabum

Answer:

Step-by-step explanation:

The initial expression is:

$(5x^{3}y^{2}+x^{2}-6x^{2}y^{3})-(3x^{2}y^{3}-4y^{3}+7x^{2})$

Using BEMDAS (Brackets - Exponents - Multiplication - Division - Addition -Subtraction), we first start with brackets:

$5x^{3}y^{2}+x^{2}-6x^{2}y^{3}-3x^{2}y^{3}+4y^{3}-7x^{2}$

Remember that if there is a negative sign, it will change the signs of the terms within the brackets.

Then, collecting like terms:

$5x^{3}y^{2}-9x^{2}y^{3}+4y^{3}-6x^{2}$

5 0

3 years ago

Every morning Lucas runs 1 7/10 miles. How far does he run in 5 days?

dybincka [34]

1 (5) = 5

7/10(5/1) = 35/10

Simplify.

35/10 = 3 5/10 = 3 1/2

5 + 3 1/2 = 8 1/2

Lucas ran 8 1/2 miles in 5 days.

7 0

3 years ago

A school chair has 36 members. This year, there are three times as many returning members as new members. How many

Eddi Din [679]

12 new members !!!!!!!!!!!!!!! I think

7 0

3 years ago