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2 years ago

The RANGE of the function is

Mathematics

1 answer:

forsale [732]2 years ago

5 0

Answer:

Range is [1, ∞)

Step-by-step explanation:

The values of x can be 1 up to infinity (the domain).

When x = 1 , f(x) = 1^2 = 1

when x = ∞, x^2 = ∞

So the range is [1, ∞)

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Write an inequality for x that would give this rectangle a perimeter of at least 300ft

Travka [436]

Answer:

The inequality for $x$ is:

$x\geq 142$

Step-by-step explanation:

Given:

Width of rectangle = 3 ft

Height or length of rectangle = $(x+5)$ ft

Perimeter is at least 300 ft

To write an inequality for $x$ .

Solution:

Perimeter of a rectangle is given as:

⇒ $2l+2w$

where $l$ represents length of the rectangle and $w$ represents the width of the rectangle.

Plugging in the given values in the formula, the perimeter can be given as:

⇒ $2(x+5)+2(3)$

Using distribution:

⇒ $2x+10+6$

Simplifying.

⇒ $2x+16$

The perimeter is at lest 300 ft. So, the inequality can be given as:

⇒ $2x+16\geq 300$

Solving for $x$

Subtracting both sides by 16.

⇒ $2x+16-16\geq 300-16$

⇒ $2x\geq284$

Dividing both sides by 2.

⇒ $\frac{2x}{2}\geq \frac{284}{2}$

⇒ $x\geq 142$ (Answer)

7 0

2 years ago

Is 3/4 bigger than 11/16?

worty [1.4K]

Yes because if you simplify 11/16 you would not get 3/4. Or a bwtter way is if you times 4 by 4 to get 16 as a denominator, then multiply 3 by 4 it equals more than 11/16.

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2 years ago

There are 5 stacks of huge waffles that each weigh 45 pounds, and a group of people want to eat all of the stacks of waffles. If

Veseljchak [2.6K]

Answer: 112 people.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

Subtract the polynomials. (5x^2 −3x − 2) − (−2x^2 − x + 10)

zhuklara [117]

Let's simplify step-by-step.5x2−3x−2−(−2x2−x+10)Distribute the Negative Sign:=5x2−3x−2+−1(−2x2−x+10)=5x2+−3x+−2+−1(−2x2)+−1(−x)+(−1)(10)=5x2+−3x+−2+2x2+x+−10Combine Like Terms:=5x2+−3x+−2+2x2+x+−10=(5x2+2x2)+(−3x+x)+(−2+−10)=7x2+−2x+−12Answer:=7x2−2x−12

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2 years ago

Read 2 more answers

Let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes. If the random var

jeka57 [31]

Answer:

The parameters of this exponential distribution is $\lambda$ = $\frac{1}{27}$ .

Step-by-step explanation:

We are given that the random variable X is known to be exponentially distributed and let X be the time it takes for a person to choose a birthday gift, where X has an average value of 27 minutes.

So, X = time it takes for a person to choose a birthday gift

The probability distribution function of exponential distribution is given by;

$f(x) = \lambda e^{-\lambda x} , x >0$ where, $\lambda$ = parameter of distribution.

Now, the mean of exponential distribution is = $\frac{1}{\lambda}$ which is given to us as average value of 27 minutes that means $\lambda = \frac{1}{27}$ .

So, X ~ Exp( $\lambda = \frac{1}{27}$ ) .

Therefore, the parameter of this exponential distribution is $\lambda$ .

5 0

3 years ago