All categories

3 years ago

Factor x squared minus 9?

Mathematics

1 answer:

tino4ka555 [31]3 years ago

8 0

Answer:

Step-by-step explanation:

One way to solve the quadratic equation x2 = 9 is to subtract 9 from both sides to get one side equal to 0: x2 – 9 = 0. The expression on the left can be factored: (x + 3)(x – 3) = 0. Using the zero factor property, you know this means x + 3 = 0 or x – 3 = 0, so x = −3 or 3.

You might be interested in

We would like to construct a 66% confidence interval for the proportion of voters that support building a new prison. What is th

Zina [86]

Answer:

The appropriate z multiplier for 66% confidence interval is 0.95

Step-by-step explanation:

We are given the following in the question:

Confidence interval:

$\hat{p}\pm z_{stat}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

We have to make a 66% confidence interval for the proportion of voters.

Confidence level = 66%

Significance level =

$\alpha = 1 - 0.66 = 0.34$

$z_{critical}\text{ at}~\alpha_{0.34} = \pm 0.95$

Thus, the appropriate z multiplier for 66% confidence interval is 0.95

3 0

4 years ago

1(-4-9v) in simplest form

Arisa [49]

Answer:

-4-9v

Step-by-step explanation:

3 0

3 years ago

Micayla wants the print shop to reduce the size of her painting but keep the ratio of length to width so that it will fit her fr

marissa [1.9K]

Answer:

The width of the frame must be 12 inches (15in by 12in)

Step-by-step explanation:

Given

See attachment for painting and frame

Required

Determine the dimension of the frame

To do this, we make use of the following scale ratio.

$Scale = Length : Width$

For the painting,

$Scale = 20: 16$

For the frame,

$Scale = 15: w$

Since she wants to maintain the same ratio; both scale must be the same.

i.e.

$15 : w = 20 : 16$

Express as fraction

$\frac{w}{15} = \frac{16}{20}$

$\frac{w}{15} = 0.8$

Make w the subject

$w = 15 * 0.8$

$w = 12$

<em>The width of the frame must be 12 inches i.e. 15in by 12in frame</em>

8 0

3 years ago

Factor the polynomial completely. x2 + 3x + 4

shusha [124]

Answer:

x = 4

x = -1

Step-by-step explanation:

8 0

3 years ago

❤️❤️help please ASAP❤️❤️

Setler [38]

Using the Pythagorean theorem a^2 +b^2 = c^2, where a and b are the sides of a triangle and c is the hypotenuse.

BA and AC are sides and BC is the hypotenuse.

we have 23^2 + b^2 = 45^2

529 + b^2 = 2025

b^2 = 2025 - 529

b^2 = 1496

b = sqrt(1496)

b = 38.68 = 38.7

The length of AC = 38.7

4 0

3 years ago

Read 2 more answers