Write the expression in simplest form. (-11/2x +3) - 2(-11/4 x

Bill is making a garden that is twice as long as it is wide.

Cloud [144]

Answer:

The equation that best represent the situation is;

x^2 = 576

or x^2 -576 = 0

Step-by-step explanation:

Here, we want an equation that best represent the given information in the question.

The length of the garden is twice as long as it is wide

So, given that x is the length of the garden, then x/2 will represent the width of the garden

From the description given in the question, the garden would be rectangular in shape.

Mathematically, the area of a rectangle can be calculated using the formula;

L * B = area

Thus;

x * x/2 = 288

x*2 = 2 * 288

x^2 = 576

5 0

2 years ago

The function f(x) = (x − 4)(x − 2) is shown. What is the range of the function? all real numbers less than or equal to 3 all rea

Arada [10]

Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

i j took the test trust me

3 0

2 years ago

Read 2 more answers

What is the factored form of 11x-x^2=0

Aleks [24]

Answer: $x(11-x)=0$

Step-by-step explanation:

Given the quadratic equation $11x-x^2=0$ , you need to factor it.

In order to find the form asked of the given equation, you need to factor out the common factor of the terms.

You can observe that the common factor of the terms of the equation is: $x$

Now, knowing this, you must factor out $x$ . Then you get the following form:

$x(11-x)=0$

Therefore, the factored fom of the equation $11x-x^2=0$ is:

$x(11-x)=0$

3 0

2 years ago

Use the confidence interval to find the margin of error and the sample mean (0.118,0.220)

malfutka [58]

Answer:

μ = 0.169

ME = 0.051

Step-by-step explanation:

The confidence interval is:

CI = μ ± ME

So the mean is the middle of the confidence interval, and the margin of error is half the difference.

μ = (0.118 + 0.220) / 2 = 0.169

ME = (0.220 − 0.118) / 2 = 0.051

5 0

3 years ago

Scientist can determine the age of ancient objects by a method called radiocarbon dating. The bombardment of the upper atmospher

Artemon [7]

Answer: 2500 years

Step-by-step explanation:

I'm not quite sure if I'm doing this right myself but I'll give it a shot.

We use this formula to find half-life but we can just plug in the numbers we know to find t.

$A(t)=A_{0}(1/2)^t^/^h$

We know half-life is 5730 years and that the parchment has retained 74% of its Carbon-14. For $A_{0$ let's just assume that there are 100 original atoms of Carbon-14 and for A(t) let's assume there are 74 Carbon-14 atoms AFTER the amount of time has passed. That way, 74% of the C-14 still remains as 74/100 is 74%. Not quite sure how to explain it but I hope you get it. h is the last variable we need to know and it's just the half-life, which has been given to us already, 5730 years, so now we have this.

$74=100(1/2)^t^/^5^7^3^0$

Now, solve. First, divide by 100.

$0.74=(0.5)^t^/^5^7^3^0$

Take the log of everything

$log(0.74)=\frac{t}{5730} log(0.5)$

Divide the entire equation by log (0.5) and multiply the entire equation by 5730 to isolate the t and get

$5730\frac{log(0.74)}{log(0.5)} =t$

Use your calculator to solve that giant mess for t and you'll get that t is roughly 2489.128182 years. Round that to the nearest hundred years, and you'll find the hopefully correct answer is 2500 years.

Really hope that all the equations that I wrote came out good and that that's right, this is definitely the longest answer I've ever written.

5 0

2 years ago

Write the expression in simplest form. (-11/2x +3) - 2(-11/4 x - 5/2) =