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6 months ago

Which expression is a factor of 21x2 + 13x – 20?A. 3x – 4B. 7x - 5C. 7x + 4D. 3x + 5

Mathematics

1 answer:

LUCKY_DIMON [66]6 months ago

8 0

Answer:

B. 7x - 5

Explanation

Given the expression 21x^2 + 13x – 20, to get which of the given expression is a factor we will have to factorize the equation first as shown;

21x^2 + 13x – 20

= 21x^2 + 28x - 15x - 20

= 7x(3x+4) -5(3x+4)

= (7x-5)(3x+4)

Hence one of the factors is 7x - 5

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Use each model to predict the life expectancy of residents of a country for which the average annual income is $80,000

Mandarinka [93]

The life expectancies of residents of a country for which the average annual income is $80,000 for the three models are 12309.9352, 172.2436 and 4828.1393

The life expectancies of the models are given as:

$y =69.9352 + 0.1530\times (income)$ --- model 1

$y =4.2436 + 0.0021\times (income)$ --- model 2

$y =4.1393 + 0.0603\times (income)$ --- model 3

Given that the average annual income is $80,000;

We simply substitute 80000 for income in the equations of the three models.

So, we have:

Model 1

$y =69.9352 + 0.1530\times (income)$

$y =69.9352 + 0.1530\times 80000$

$y =12309.9352$

Model 2

$y =4.2436 + 0.0021\times (income)$

$y =4.2436 + 0.0021\times 80000$

$y =172.2436$

Model 3

$y =4.1393 + 0.0603\times (income)$

$y =4.1393 + 0.0603\times 80000$

$y =4828.1393$

Hence, the life expectancies are 12309.9352, 172.2436 and 4828.1393

Read more about linear models at:

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2 years ago

The volume of a cube is 36 cubic feet. What is the volume of a pyramid that fits exactly inside the cube?

jok3333 [9.3K]

Volume of a cube = 1/3 volume of cube = 1/3 * 36 = 12 cubic feet.

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3 years ago

Spirit Airlines kept track of the number of empty seats on flight 308 (DEN—DTW) for 10 consecutive trips on each weekday.

Murrr4er [49]

Answer:

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Step-by-step explanation:

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2 years ago

Question 2 <><><><><><><><><><><>

drek231 [11]

Answer:

I deserve brainliest just as all good boys deserves fudgeeeeee

Step-by-step explanation:

v^2 = 25/81

v= the square root of 25/81 = 5/9

since that isn't a choise, don't simplify.

D works too because negative x negative = positive

CCCCCCC

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3 years ago

Read 2 more answers

Given a geometric sequence with a1 = 6 and r= 2/3 write an explicit formula for an the nth term of the sequence.

fomenos

the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Step-by-step explanation:

The explicit formula of geometric sequence is of the form:

$a_{n}=a_{1}r^{n-1}$

where a₁ is the first term and r is the common ratio.

We are given:

a₁ = 6

r = 2/3

Putting values in the formula:

$a_{n}=a_{1}r^{r-1}\\a_{n}=6\times (\frac{2}{3})^{n-1}\\$

So, the explicit formula for aₙ the nth term of the sequence will be: $a_{n}=6\times (\frac{2}{3})^{n-1}\\$

Keywords: Explicit formula for geometric sequence

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2 years ago