<img src="https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B9x%2B20%3D0" id="TexFormula1" title="x^{2} +9x+20=0" alt="x^{2} +9x+20=0" ali

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Alenkasestr [34]

3 years ago

gn="absmiddle" class="latex-formula">

What are the steps to solve by factoring?

Mathematics

2 answers:

katen-ka-za [31]3 years ago

5 0

Answer:

x = -5 or x = -4

Step-by-step explanation:

Given equation is :

x²+9x+20 = 0

We have to solve it by factoring.

Step 1. Split the middle term of given equation so that the sum of two term should be 9 and their product be 20.

x²+5x+4x+20 = 0

Step 2. Making groups ang taking common terms.

x(x+5)+4(x+5) = 0

Step 3. Taking (x+5) as common,we get

(x+5)(x+4) = 0

Step 4. Applying Zero-Product Property to above equation,we get

x+5 = 0 or x+4 = 0

x = -5 or x = -4 which is the answer.

Hoochie [10]3 years ago

3 0

Answer:

We have been given an equation $x^2+9x+20=0$

We will factorize it by middle term splitting.

Step 1: $x^2+5x+4x+20=0$

Taking common factors out by clubing first two terms ad last two terms

Step 2: $x(x+5)+4(x+5)=0$

Step 3: $(x+4)(x+5)=0$

Equating both above factors to zero as:

Step 4: $(x+4)=0\Rightarrow x=-4$

And $(x+5)=0\Rightarrow x=-5$ .

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astraxan [27]

Answer:

The required confidence interval is (3.068,4.732)

Step-by-step explanation:

Consider the provided information.

He plans to use a 90% confidence interval. He surveys a random sample of 50 students. The sample mean is 3.90 alcoholic drinks per week. The sample standard deviation is 3.51 drinks and wants to construct 90% confidence interval.

Thus, n=50, $\bar x$ =3.90 σ=3.51

Now find degree of freedom.

$df=n-1\\df=50-1=49$

The confidence level is 90% and df=49

Therefore,

$\frac{\alpha}{2} =\frac{1-0.90}{2}$

$\frac{\alpha}{2} =0.05$

Now by using t distribution table look at 49 df and alpha level on 0.05.

$t_{\frac{\alpha}{2}} = 1.67653$

Calculate SE as shown:

$SE=\frac{\sigma}{\sqrt{50} }$

$SE=\frac{3.51}{\sqrt{50}}=0.4964$

Now multiply 1.67653 with 0.4964

Therefore, the marginal error is: 1.67653 × 0.4964≈ 0.832

Now add and subtract this value in given mean to find the confidence interval.

$\bar x-E$

Hence, the required confidence interval is (3.068,4.732)

4 0

3 years ago

WILL MARK BRAINLIEST

True [87]

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Angle 1 and 2 make up a straight angles and straight angles always equal 180.

Subtract 35 from 180 to find Angle 2s measure which is 145

8 0

3 years ago

Read 2 more answers

A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started w

shtirl [24]

Complete question is;

A skull cleaning factory cleans animal skulls and other types of animals using flesh eating Beatles. The factory owner started with only 13 adult beetles.

After 35 days, the beetle population grew to 26 adult beetles. How long did it take before the beetle population was 13,000 beetles?

Answer:

349 days.

Step-by-step explanation:

We are given;

Initial amount of adult beetles; A_o = 13

Amount of adult beetles after 35 days; A_35 = 26

Thus can be solved using the exponential formua;

A_t = A_o × e^(kt)

Where A_t is the amount after time t, t is the time and k is a constant.

Plugging in the relevant values;

26 = 13 × e^(35k)

e^(35k) = 26/13

e^(35k) = 2

35k = In 2

35k = 0.6931

k = 0.6931/35

k = 0.0198

Now,when the beetle population is 12000,we can find the time from;

13000 = 13 × e^(k × 0.0198)

e^(k × 0.0198) = 13000/13

e^(k × 0.0198) = 1000

0.0198k = In 1000

0.0198k = 6.9078

k = 6.9078/0.0198

k ≈ 349 days.

5 0

3 years ago

3/4 of 22 as a mixed number in its simplest form

user100 [1]

Answer:

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Step-by-step explanation:

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2 years ago

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deff fn [24]

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3 years ago