Evaluate (a + b)2 for a = 2 and b = 3

Answers

Answer 1
Answer:

All you need to do is replace the letters by their value


(a+b)

(2+3)

= 5


I hope that's help:)

Answer 2
Answer: The answer is (2+3)=5

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A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the functionC(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x.
Write and simplify a function P that represents the profit made from selling x bracelets.
How many bracelets must the company sell to break even?

Keep answer simple

Answers

Answer:

the company must sell 15 bracelets to break even.

Step-by-step explanation:

To find the profit made from selling x bracelets, we need to subtract the cost of producing x bracelets from the revenue earned from selling x bracelets.

The cost of producing x bracelets is given by the function C(x) = 180 + 8x.

The revenue earned from selling x bracelets is given by the function R(x) = 20x.

To find the profit, we subtract the cost from the revenue: P(x) = R(x) - C(x).

Substituting the given functions:

P(x) = 20x - (180 + 8x).

To simplify the expression, we combine like terms:

P(x) = 20x - 180 - 8x.

Simplifying further, we combine the x terms and the constant terms:

P(x) = 12x - 180.

So, the function P(x) represents the profit made from selling x bracelets: P(x) = 12x - 180.

To find the number of bracelets the company must sell to break even, we set the profit (P(x)) equal to zero, since profit is zero at the break-even point:

12x - 180 = 0.

Adding 180 to both sides of the equation:

12x = 180.

Dividing both sides by 12:

x = 15.

Below are two different functions, f(x) and g(x). What can be determined about their slopes?f(x) Alex earns 1600 dollars in 400 hours.
x
g(x)
1
−8
5
12
9
32

Answers

Answer:

As per the statement:

Below are two different functions, f(x) and g(x).

For f(x):

Alex earns 1600 dollars in 400 hours.

\text{unit rate per hour} = (1600)/(400) = 4 dollars.

Slope of f(x) = 4

Now, find the slope of g(x):

Formula for slope is given by:

\text{Slope} = (y_2-y_1)/(x_2-x_1)

From the given tables:

Consider two values  (x, g(x)) i.e,

(1, -8) and (5, 12)

Then;

\text{Slope} = (12-(-8))/(5-1)

\text{Slope} = (20)/(4) =5

⇒Slope of g(x) = 5

\text{Slope of g(x)} > \text{Slope of f(x)}

Therefore, the function g(x) has faster slope.

f(x) = 1600/400 reduces to 4....the slope of f(x) is 4

g(x) :
(1,-8)(5,12)
slope = (12 - (-8) / (5 - 1) = (12 + 8)/4 = 20/4 = 5...slope of g(x) is 5

so g(x) has a greater slope then f(x)

Casey is reading a book for a book report. At 3:30 P.M., he started reading where he had left off the day before. At 5:30 P.M. he was on page 160. At 8:00 P.M. he was on page 280. If reading the book is modeled by a linear function, what page did Casey start on at 3:30 P.M.?

A) 60
B) 64
C) 70
D) 74

Answers

Well, he can read 120 pages in 2.5 hours. So he can read 100 pages in 2hrs, the difference between 5:30 and 3:30 is two hours. So the answer is 60.

160-100=60. Hope this helped!

Explain one thing you need to be careful with when writing a proportion.

Answers

For this case, we have that by definition, the proportions can be expressed in different ways. Example, if we have a dog and three cats:

75%: It's percentage

0.75: In decimal (75% are cats)

\frac {3} {4}: In fraction. (There are \frac {3} {4} of cats)

3: 1: Using ":" to separate sample values. (For every three cats there is a dog)

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

Example:3: 1 = 3 * 2: 1 * 2 = 6: 2

Answer:

Care should be taken with the proportions, always multiplying the numbers in the proportion by the same value.

He table shows how the random number range is assigned to each event. If the following random numbers were assigned, predict the number of Chocolate Chip cookies purchased.

Random numbers: 3, 27, 43, 85, 83

Answers

Answer:

option 2nd is correct that is 2.

Step-by-step explanation:

We have been given the random number range assigned to each event  

And from the given table we can see that the assigned number range of chocolate chip  cookies  is 0-40

So, we will  consider numbers in this range 0-40 from the given random numbers which are 3,27,43,85,83.

So, 3 and 27 will come under the range 0-40

Therefore, only 2 chocolate chip cookies purchased

Therefore, option 2nd is correct that is 2.

Answer:

2

Step-by-step explanation:

Which of the following could be the ratio of the length of the longer leg of a 30 60 90 triangle to the length of its hypotenuse

Answers

for 30 60 90 triangles, the ratio of the side lengths is
(1)/(2) : ( √(3) )/(2) :1
where the first is the shorter leg, the second is the longer leg, and the third is the hypotenuse (the longest side that doesn't form a 90 degree angle)

so the ratio of the longer leg to the hypotenuse is ( √(3) )/(2) :1
or
( ( √(3) )/(2) )/(1)
which equals ( √(3) )/(2)