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4 years ago

Describe two different methods to find the elapsed time from 2:30 P.M. to 2:58

Mathematics

2 answers:

Zanzabum4 years ago

7 0

1) Subtract 230 from 258

2) Count how many numbers are between 30 and 58

Hope I helped!

agasfer [191]4 years ago

4 0

That is easy you have to subtract 58-30= 28 you can draw a line and put start time an end time (hope this helps)

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F(x) = x4 - x3 - 2x- 4 factor the polynomial function over the complex numbers

olchik [2.2K]

Answer:

Step-by-step explanation:

The given function is f(x) = x⁴ - x³ -2x -4

factor the polynomial function

f(x) = x⁴ - x³ -2x -4 = (x⁴ - 4) - (x³ + 2x ) ⇒ take (-) as a common from (- x³ -2x)

= (x² + 2 ) (x² - 2) - x (x² + 2) ⇒ take (x² + 2) as a common

= (x² + 2 ) ( x² - x - 2)

= (x + √2 i) (x - √2 i) (x -2 ) ( x+1)

Notes: (x⁴ - 4) = (x² + 2 ) (x² - 2)

(x² + 2)= (x + √2 i) (x - √2 i)

( x² - x - 2) = (x -2 ) ( x+1)

8 0

3 years ago

If α and β are the zeros of the quadratic polynomial f(x) = 3x2–4x + 5, find a polynomialwhose zeros are 2α + 3β and 3α + 2β.

Lelechka [254]

Answer:

$\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }$

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

$f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)$

So we can say that

$a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}$

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

$(x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab$

and we can notice that

$a^2+b^2=(a+b)^2-2ab$ so

$(x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab$

it comes

$x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}$

multiply by 3

$3x^2-20x+2*16+5=3x^2-20x+37$

4 0

3 years ago

Solution for 18-3.8t=7.36-1.98

ohaa [14]

$\text{Hello there!}\\\\\text{Solve for t:}\\\\18-3.8t=7.36-1.98\\\\18-3.8t=5.38\\\\\text{Subtract 18 from both sides}\\\\-3.8t=-12.62\\\\\text{Divide both sides by -3.8}\\\\t=3.321053\\\\\text{Round to the nearest hundredths}\\\\\boxed{t=3.32}$

3 0

3 years ago

The city of Seeley, CA, has elevation 45 feet below sea level. What is the elevation of a city with an elevation the opposite of

Montano1993 [528]

It the answer to this question either B or A

7 0

3 years ago

Write the equation of the line that passes througlī the points (-2, 6)

elena-s [515]

Answer:

Horizontal line (0 slope)

Step-by-step explanation:

The equation is $\frac{y2-y1}{x2-x1}$ , so you'd just insert what you know.

It would look like this: $\frac{6-6}{4-(-2)}$ .

We would solve. 6-6=0, while 4-(-2)=6.

So, we have 0/6, which gives you 0, and it would be a horizontal line, since a horizontal line is portrayed by 0 slope.

6 0

3 years ago