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Oksanka [162]
3 years ago
5

70 pointsss for the correct answer

Mathematics
1 answer:
nignag [31]3 years ago
3 0

Answer:

f(x) = 12x³ - 19x² + 17x - 17

Step-by-step explanation:

We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.

We're given a denominator of 4x - 5

a quotient of 3x² - x + 3

and a remainder of -2

so the original numerator is:

(4x - 5)(3x² - x + 3) - 2

= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2

= 12x³ - 19x² + 17x - 17

Let's test that by dividing it by 4x -5 with long division:

\ \ \ \ \ \ \ \ \ \  3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\  \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \  -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R

That matches, so we know our answer's right, and:

f(x) = 12x³ - 19x² + 17x - 17

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ss7ja [257]
340 /10=34 or 340/100=3.4
7 0
3 years ago
Subtract and write out in minutes and seconds 87 seconds from 100 seconds
alexandr402 [8]

Answer:

  00:13  mm:ss

Step-by-step explanation:

There are 60 seconds in a minute. This fact can be used to convert the time period(s) to minutes and seconds either before or after you do the subtraction.

<h3>Difference</h3>

It is often convenient to do arithmetic with all of the numbers having the same units. Here, we are given two values in seconds and asked for their difference.

  100 s - 87 s = (100 -87) s = 13 s

The difference between the two time periods is 0 minutes and 13 seconds.

<h3>Conversion</h3>

If you like, the numbers can be converted to minutes and seconds before the subtraction. Since there are 60 seconds in a minute, the number of minutes is found by dividing seconds by 60. The remainder is the number of seconds that will be added to the time in minutes:

  87 seconds = ⌊87/60⌋ minutes + (87 mod 60) seconds

  = 1 minute 27 seconds

  100 seconds = ⌊100/60⌋ minutes + (100 mod 60) seconds

  = 1 minute 40 seconds

Then the difference is found in the same way we would find a difference involving different variables. (A unit can be treated as though it were a variable.)

  (1 min 40 s) -(1 min 27 s) = (1 -1 min) + (40-27 s) = 0 min 13 s

The difference between the two time periods is 0 minutes and 13 seconds.

5 0
1 year ago
F(x) = x + 7<br> and<br> g(x) = x2<br> What is g( f(-9))
Tanya [424]

Answer:

4

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Plz help will mark brainless if right answer ;)
Pavel [41]

Answer:

A

Step-by-step explanation:

Since each triangle is an equilateral triangle all side are the same length. Thus, one side is 15/3=5 inches. The perimeter of the entire figure would then be 3x6=18 since there are 6 sides.

7 0
2 years ago
Read 2 more answers
Can someone plz answer B and C
Shkiper50 [21]

B. 
When two lines intersect they form two pairs of opposite angles.
Vertical angles are always congruent, which means that they are equal.
so  m<7 = m<8 or m<3y + 19 = m<5y-29


C. solve for y and measure <7 and <8

 3y + 19 = 5y-29
5y - 3y = 19+29
2y = 48
y = 24

so
5y-29 = 5(24) - 29 = 91
3y + 19 = 3(24) + 19 = 91

so <7 = 180 - 91 = 89
<7 = <8 = 89
4 0
3 years ago
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