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Marina CMI [18]
3 years ago
14

2. Simplify the expression x^2+x-28/x^2-7x+12

Mathematics
1 answer:
tankabanditka [31]3 years ago
5 0
The answer is   x^4-6x^3+12x^2-28/x^2


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What is the domain of (cd)(x)?
viktelen [127]

Answer:

Only option B is correct, i.e. all real values of x except x = 2.

Step-by-step explanation:

Given the functions are C(x) = 5/(x-2) and D(x) = (x+3)

Finding (C·D)(x) :-

(C·D)(x) = C(x) * D(x)

(C·D)(x) = 5/(x-2) * (x+3)

(C·D)(x) = 5(x+3) / (x-2)

(C·D)(x) = (5x+15) / (x-2)

Let y(x) = (C·D)(x) = (5x+15) / (x-2)

According to definition of functions, the rational functions are defined for all Real values except the one at which denominator is zero.

It means domain will be all Real values except (x-2)≠0 or x≠2.

Hence, only option B is correct, i.e. all real values of x except x = 2.

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A study was conducted to determine whether an expectant mother's cigarette smoking has any effect on the bone mineral content of
svp [43]

Using Hypothesis testing,

a) Two samples are independent.

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ : an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Null hypothesis is accepted.

so, an expectant mother's cigarette smoking has no effect on the bone mineral.

We have given that,

A study which is conducted for check an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

For new-born whose mother's cigarette smoking

sample size , n₁= 77

X-bar, x₁-bar = 0.098 g/cm

standard deviations, s₁ = 0.026 g/cm

For new-born whose mother did not cigarette smoking

sample size , n₂ = 161

standard deviations, s₂ = 0.025 g/cm.

mean (X-bar) , x₂-bar = 0.095 g/cm

a) the two samples are independent since they are different types of mothers, smoking mothers and non smoking mothers

b)H₀: an expectant mother's cigarette smoking has any not effect on the bone mineral content of her otherwise healthy child.

Hₐ: an expectant mother's cigarette smoking has any effect on the bone mineral content of her otherwise healthy child.

c) Test statistic:

t = (x₁-bar - x₂-bar )/S (√1/n₁+1/n₂)

where , S = √(s₁²(n₁ - 1) + s₂²(n₂ -1))/n₁+n₂ - 2

S = √((0.026)²(76) +(0.025 )²(160))/236

= 0.0253

then, t = (0.098 - 0.095 )/0.0253(√1/77 +1/161 )

=> t = 0.859

Using the critacal table critical t is

Critical t = ±1.970065

Degrees of freedom =236.0000

P-Value=0.3935 which is greater than α(0.05),

So , we accept H₀

Thus, an expectant mother's cigarette smoking has not effect on the bone mineral content of her otherwise healthy child.

To learn more about Hypothesis testing, refer:

brainly.com/question/4232174

#SPJ4

8 0
1 year ago
Can Anyone Please HELP ME ITS DUE TOMORROW MORNING
almond37 [142]

Answer:

Step-by-step explanation:

1/8 = 1/9 + x ...multiply by LCD of 72

9 = 8 + 72x

9 - 8 = 72x

1 = 72x

1/72 = x

1/8 = 1/10 + x....multiply by 40

5 = 4 + 40x

5 - 4 = 40x

1 = 40x

1/40 = x

1/8 = 1/11 + x....multiply by 88

11 = 8 + 88x

11 - 8 = 88x

3 = 88x

3/88 = x

can all unit fractions be made in more then 1 way like this ?

not to sure because that last one....because it has been that a unit fraction is the outcome of adding together 2 unit fractions...but that last one...3/88 is not a unit fraction

4 0
3 years ago
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