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3 years ago

What is the solution set of the equation x^2 - 7x - 18 = 0

Mathematics

2 answers:

Alenkasestr [34]3 years ago

5 0

Factoring this trinomial as the product of two binomials,

we have (x - 9)(x + 2) and set that equal to 0.

So we have (x - 9)(x + 2) = 0.

So either x - 9 = 0 or x + 2 = 0.

Solving for <em>x</em> in each equation, we find that our solution is {9, -2}.

photoshop1234 [79]3 years ago

3 0

(x-9)(x+2)=0
x=9 or x=-2

You might be interested in

What is the value of this expression? (−2)^5

dalvyx [7]

Answer:

-32

Step-by-step explanation:

=(-2)^5

=-2*-2*-2*-2*-2-2

-2*-2=4

-2

4*4=16

16*-2=-32

Hope this helps :) ❤❤❤

6 0

2 years ago

An important factor in selling a residential property is the number of times real estate, agents show a home. A sample of 21 hom

Natalka [10]

Using the t-distribution to build the 99% confidence interval, it is found that:

The margin of error is of 3.64.

The 99% confidence interval for the population mean is (19.36, 26.64).

<h3>What is a t-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm t\frac{s}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

t is the critical value.

n is the sample size.

s is the standard deviation for the sample.

The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 21 - 1 = 20 df, is t = 2.086.

The other parameters are given as follows:

$\overline{x} = 23, s = 8, n = 21$

The margin of error is given by:

$M = t\frac{s}{\sqrt{n}} = 2.086\frac{8}{\sqrt{21}} = 3.64$

Hence the bounds of the interval are:

$\overline{x} - M = 23 - 3.64 = 19.36$

$\overline{x} + M = 23 + 3.64 = 26.64$

The 99% confidence interval for the population mean is (19.36, 26.64).

More can be learned about the t-distribution at brainly.com/question/16162795

#SPJ1

7 0

1 year ago

What is the sum of 5/12 and 1/3. Write the answer in simplest form

beks73 [17]

Answer:

Step-by-step explanation: $\frac{5}{12}$

8 0

3 years ago

how far would the cheetah have traveled in the first eight minutes? show how you arrived at your answer

Sav [38]

How far would the cheetah have traveled in the first eight minutes? show how you arrived at your answer

8 0

3 years ago

Follow the steps for dividing decimals. Then, round to two decimal places (hundredths).

zvonat [6]

Answer:

4.32

Step-by-step explanation:

The steps required are:

4.322

1.476 )6.380

5.904

____

0.476

0.4763

0.4428

_____

0.0335

0.03358

0.02952

_____

0.00406

0.004060

0.002952

_____

0.0011080

Therefore, the answer is 4.32.

8 0

2 years ago