What are the solutions to the equation (x + 2)(x - 7) = 0?

Mathematics

1 answer:

vredina [299]3 years ago

4 0

Answer:

x = -2 and x = 7

Step-by-step explanation:

Since this is a multiplication, you can divide the equation into two parts to find what x values would make the equation equals to 0 because when you only need one multiple to equal 0 regardless of the value of the other multiple to make the equation equal to 0.

(x + 2) = 0 = > x = -2

(x - 7) = 0 = > x = 7

You might be interested in

The formula V=Bh, where B represents the area of the base, can be used to find the volume of a cylinder. Which formula is equiva

Karo-lina-s [1.5K]

Answer:

Explanation:

B=Base Area

In a cylinder, the base area is a circle.

Area Circle=pi r^2

Replace base area with area of circle:

V=pi r^2 H

7 0

4 years ago

Read 2 more answers

Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed

vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

$df = 11-1 = 10$ .

Then, we need to subtract one by the confidence level $\alpha$ and divide by 2. So:

$\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025$

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have $T = 1.812$

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

$s = \frac{4}{\sqrt{11}} = 1.2060$

Now, we multiply T and s

$M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8$ cm