Function 1 is defined by the equation y=4/5x+2

What order will result in a final output of - 31 when the initial input is 0?? Someone please please helpoo

morpeh [17]

The order that will result in a final output of -31 when the first input is 0 is as follows; Third → Second → Fourth → First

<h3>How to find the order?</h3>

First gives;

y = -2·x + 34 = 18

Second gives;

y = -x/3 - 10 = -38/3

Third gives;

= -24

Fourth gives;

y = (x - 2)² = 36

We have after several iterations;

Third gives,

= -24

Next we input into the second to get,

y = -(-24)/3 - 10 = 24/3 - 10 = 8 - 10 = -2

Next we input into the fourth to get,

y = ((-2) - 2)² = (-4)² = 16

Next we input into the first to get,

y = -2×16 + 34 = -32 + 34 = 2

Which gives the order as follows;

Third → Second → Fourth → First

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4 0

5 months ago

How do I set this up

Mrac [35]

To justify the yearly membership, you want to pay at least the same amount as a no-membership purchase, otherwise you would be losing money by purchasing a yearly membership. So set the no-membership cost equal to the yearly membership cost and solve.

no-membership costs $2 per day for swimming and $5 per day for aerobic, in other words, $7 per day. So if we let d = number of days, our cost can be calculated by "7d"

a yearly membership costs $200 plus $3 per day, or in other words, "200 + 3d"

Set them equal to each other and solve:

7d = 200 + 3d

4d = 200

d = 50

So you would need to attend the classes for at least 50 days to justify a yearly membership. I hope that helps!

5 0

2 years ago

How many terms are in this expression? 5x y - 3x - 8 2

FromTheMoon [43]

The number terms in the given expression is 3, they are 5xy, -3x and -82.

The given expression is 5xy-3x-82.

<h3>What is an expression?</h3>

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The terms involved in an expression in math are:

Constant: A constant is a fixed numerical value.

Variable: A variable is a symbol that doesn't have a fixed value.

In the given expression 5xy-3x-82, there are three terms, which are 5xy, -3x and -82.

Therefore, the number terms in the given expression is 3, they are 5xy, -3x and -82.

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7 0

11 months ago

8.) Out of 600 employees, only 270 are happy with their pay. What percent is this? (Please show your work.) *

Gnom [1K]

For this case we can raise a rule of three:

600 employees -------------> 100%

270 employees -------------> x

Where the variable "x" represents the percentage of employees who are satisfied with their salary. So, we have:

$x = \frac {270 * 100} {600}\\x = 45$

Thus, 45% of employees are satisfied with their salary.

Answer:

45%

5 0

2 years ago

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An isosceles triangle ABC with the base BC is inscribed into a circle. Find the measure of angles of it, if measure of arc BC=10

zzz [600]

Answer:

The measures of the angles of ΔABC are

m∠A = 51° , m∠B = 64.5 , m∠C = 64.5°

Step-by-step explanation:

* Lets revise some facts in the circle

- The measure of the circle is 360°

- Equal chords intercept equal arcs

- The measure of an inscribed angle equals half the measure

of the intercepted arc

* Lets solve the problem

- ΔABC is isosceles withe base BC

∴ AB = AC

- The vertex angle is A

∵ ∠A is an inscribed angle subtended by arc BC

∴ m∠A = 1/2 the measure of arc BC

∵ The measure of arc BC = 102° ⇒ given

∴ m∠A = 1/2(102) = 51°

- In ΔABC

∵ AB = AC ⇒ proved

∴ m∠B = m∠C ⇒ base angles of isosceles Δ

- The sum of the interior angles in any Δ = 180°

∵ m∠A = 51 ⇒ proved

∴ m∠B = m∠C = (180 - 51) ÷ 2 = 129 ÷ 2 = 64.5°

* The measures of the angles of ΔABC are

m∠A = 51° , m∠B = 64.5° , m∠C = 64.5°

5 0

2 years ago

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