Find f(2) if f(x) = (x + 1)2 a 9 b 6 c 5

An elevator can hold a maximum of 1500 pounds. An average child weighs 75 pounds and the average adult weighs 150 pounds. The el

CaHeK987 [17]

Let's take this problem step-by-step:

Let's first set up some variables:

c: # of children
a: # of adults

Let's examine the information given:

Elevator can hold a maximum of 1500 pounds

⇒ average child is 75 pounds

⇒ average adult is 150 pounds

⇒ therefore: $75c + 150a\leq 1500$

Elevator can fit no more than 14 people

⇒ therefore: $c + a \leq 14$

Let's graph the equations:

$75c+150a\leq 1500\\c+a\leq 14$

⇒ look at the image attached

The point at which the two graphs intersect:

⇒ is the solution that represents the amount of children and adults and

their combine weight

With the horizontal axis being the # of children and vertical axis being the # of adults:

⇒ the solution is 8 children and 6 adults

Answer: 8 children and 6 adults

Hope that helped!

7 0

1 year ago

Yo can anybody please help me with this math question please

Vlada [557]

Answer:

the answer should 60°

Step-by-step explanation:

if look at angle pq and rq the measure of the angle is 60° if u were to spin that angle to a u should get the same measurement

8 0

2 years ago

If a line has a negative slope what is it general direction

docker41 [41]

Down, the line is going down

6 0

3 years ago

Which statement is true?

Lady_Fox [76]

Answer:

An irrational number may show terminating digits after the decimal

Step-by-step explanation:

Examples of Rational Numbers

Number 9 can be written as 9/1 where 9 and 1 both are integers. 0.5 can be written as ½, 5/10 or 10/20 and in the form of all termination decimals. √81 is a rational number, as it can be simplified to 9 and can be expressed as 9/1. 0.7777777 is recurring decimals and is a rational number

Examples of Irrational Numbers

Similarly, as we have already defined that irrational numbers cannot be expressed in fraction or ratio form, let us understand the concepts with few examples.

5/0 is an irrational number, with the denominator as zero.

π is an irrational number which has value 3.142…and is a never-ending and non-repeating number.

√2 is an irrational number, as it cannot be simplified.

0.212112111…is a rational number as it is non-recurring and non-terminating.

There are a lot more examples apart from above-given examples, which differentiate rational numbers and irrational numbers.

Properties of Rational and Irrational Numbers

Here are some rules based on arithmetic operations such as addition and multiplication performed on the rational number and irrational number.

#Rule 1: The sum of two rational numbers is also rational.

Example: 1/2 + 1/3 = (3+2)/6 = 5/6

#Rule 2: The product of two rational number is rational.

Example: 1/2 x 1/3 = 1/6

#Rule 3: The sum of two irrational numbers is not always irrational.

Example: √2+√2 = 2√2 is irrational

2+2√5+(-2√5) = 2 is rational

#Rule 4: The product of two irrational numbers is not always irrational.

Example: √2 x √3 = √6 (Irrational)

√2 x √2 = √4 = 2 (Rational)

5 0

2 years ago

Identify the 34th term of the arithmetic sequence 2, 7, 12

torisob [31]

The equation is AN=A1+D(N-1) A1 being the first number (2) D being the difference (in this case 5) and N being the nth term to find (34) so here you have AN=2+5(34-1) then AN=2+5(33). the answer here is 167.

5 0

3 years ago