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alexandr402 [8]
3 years ago
5

3. Given this quadratic equation, 2x2 - x - 28 = 0,

Mathematics
1 answer:
JulijaS [17]3 years ago
4 0

Answer:

a) (2x+7)(x-4)

b) x = -7/2 and x = 4

Step-by-step explanation:

a) (2x  ?)(x  ?)

set up the above and considered factors of 28 that, when paired with 2, would give me -1x and -28  → (1·28, 2·14, 4·7)

after trial-and-error, found that 4 and 7 worked (used un-FOIL)

b) 2x + 7 = 0

2x = -7

x = -7/2

*********

x-4 = 0

x = 4

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. Three professors examined awareness of four widely disseminated retirement rules among employees at University of Utah. These
Leya [2.2K]

Answer:

a) The population of interest = 10,000 benefited employees.  It includes all benefited employees.

b) The sample collected = 3,095.  These are the benefited employees who participated in the study.

c) Indication of demographic variables as categorical or numerical:

Demographic data:              Categorical or Numerical    

Gender                                = Categorical

Age (years)                          = Numerical

Education level                    = Numerical

 (years completed)

Marital status                       = Categorical

Household income ($)        = Numerical

Employment Category        = Categorical

Step-by-step explanation:

a) Data and Calculations:

Population of interest = 10,000 benefited employees

Sample = 3,095 participants

Demographic data:

Gender

Age (years)

Education level (years completed)

Marital status

Household income ($)

Employment Category

b) A variable is numerical value (e.g. length, test scores, etc.).  It is a continuous variable.  A categorical variable assumes a limited or fixed number of possible values, or it is categorized in groups.

8 0
3 years ago
WILL GIVE BRAINLIST
borishaifa [10]

Answer:

option: C is correct.

Step-by-step explanation:

since, we are given a parent function f(x) as: f(x)=x.

We are asked to find what  change will occur in the function when the parent function f(x) is replaced by f(9x).

let g(x) be the function formed by replacing f(x) with f(9x) i.e.

g(x)=f(9x)=9x.

clearly the slope of the function g(x)=f(9x) is 9.  ( since on comparing the equation with the slope intercept form y=mx+c; where m is the slope of the line and c is the y- intercept).

whereas the slope of the function f(x)=x is 1.

Hence there is an increment of slope by a factor of 9.

Hence, option C is correct.

6 0
3 years ago
Which of the following equations below is a linear inequality?
Ket [755]

Answer:

D

Step-by-step explanation:

A <u>linear inequality</u> is an inequality which involves a linear function. A linear inequality contains one of the symbols of inequality: <, >, ≤, ≥.

Consider all options:

A. The inequality \dfrac{y}{x}>3\cdot x+2 is not linear linear inequality, because x is in the left part denominator and in the right part numerator.

B. This option shows linear equation, not inequality.

C. This option shows quadratic equation, not linear inequality.

D. This option shows linear inequality y\le 5x-5

4 0
3 years ago
I WILL GAVE BRAINLIEST
Arte-miy333 [17]

Answer:

x < -14

Step-by-step explanation:

Step 1: Subtract 6 from both sides.

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Step 2: Divide both sides by -3 and flip the inequality sign.

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Therefore, the answer is  x < -14.

4 0
2 years ago
Read 2 more answers
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