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2 years ago

Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).

Mathematics

1 answer:

Aleksandr [31]2 years ago

3 0

The factors of the quadratic equation are (x+3) and (x-15).

<h2 /><h2>Given to us</h2>

$x^2-12x-45\\$

The factors of $x^2-12x-45\\$ .

<h3 /><h3>Solution</h3>

$x^2-12x-45\\$

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

$x^2-15x+3x-45\\$

Taking common out,

$x^2-15x+3x-45\\x(x-15)+3(x-15)\\(x+3)(x-15)$

Hence, the factors of the quadratic equation are (x+3) and (x-15).

Learn more about quadratic equations:

brainly.com/question/2263981

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What is the type of symmetry on the graph..neither, odd, or even?

Sloan [31]

Answer:

Step-by-step explanation:

Knowing whether a function is even or odd helps you to graph it because that information tells you which half of the points you have to graph. These types of functions are symmetrical, so whatever is on one side is exactly the same as the other side. If a function is even, the graph is symmetrical about the y-axis. If the function is odd, the graph is symmetrical about the origin.

• Even function: The mathematical definition of an even function is f(–x) = f(x) for any value of x. The simplest example of this is f(x) = x2 because f(x)=f(-x) for all x. For example, f(3) = 9, and f(–3) = 9. Basically, the opposite input yields the same output.

Visually speaking, the graph is a mirror image about the y-axis, as shown here.

• Odd function: The definition of an odd function is f(–x) = –f(x) for any value of x. The opposite input gives the opposite output. These graphs have 180-degree symmetry about the origin. If you turn the graph upside down, it looks the same.

The example shown here, f(x) = x3, is an odd function because f(-x)=-f(x) for all x. For example, f(3) = 27 and f(–3) = –27.

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2 years ago

What’s the anwers ? Need help

shusha [124]

5 because 2/6 of 24 is 8 and the difference of thirteen and 8 is 5

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2 years ago

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5x-29>-34 OR 2x+31<29

Margarita [4]

5x-29>-34
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3 years ago

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The scores of high school seniors on the act college entrance examination in a recent year had mean Î¼ = 20.8 and standard devia

natka813 [3]

To solve this problem, we make use of the z statistic. The formula for z score is:

z = (x – μ) / s

where,

x = is the sample score = 21 or higher

μ = the population mean = 20.8

s = the standard deviation = 4.8

Solving for the z score:

z = (21 – 20.8) / 4.8

z = 0.0417

Next step to do is to find for the p value using the standard distribution tables at z = 0.04. Since we are looking for the probability of getting 21 or higher, therefore this is a right tailed test, hence

p = 0.516

<span>So there is about 51.6% that a student will get a score of 21 or greater.</span>

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2 years ago

one number is four times as large as another if the numbers are added together the result is six less than seven times the small

liubo4ka [24]

Answer:

The numbers are 12 and 3.

Step-by-step explanation:

We can solve this problem by working with the information we have and setting up some equations.

We know that one number is four times as large as another. So, let the smaller number be represented by the variable x and the bigger number be represented by 4x, since it is four times as large.

Now, we know that if the numbers are added together, then the result is six less than seven times the smaller number. This can also be represented by the equation 4x + x = 7x - 6.

Let's solve that equation like so:

$4x + x = 7x - 6\\5x = 7x - 6\\-2x = -6\\x = 3$

So, the smaller number must be 3 (remember that x represented the smaller number). To find the bigger number, all we need to do is multiply 3 by 4, which gives us 12. Therefore, the numbers are 12 and 3.

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2 years ago