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2 years ago

12n^2+48n = -n^3-64 factoring polynomial equations

Mathematics

1 answer:

xxTIMURxx [149]2 years ago

4 0

Answer:

Step-by-step explanation:

12n2+48n=−n3−64

Step 1: Subtract -n^3-64 from both sides.

12n2+48n−(−n3−64)=−n3−64−(−n3−64)

n3+12n2+48n+64=0

Step 2: Factor left side of equation.

(n+4)(n+4)(n+4)=0

Step 3: Set factors equal to 0.

n+4=0

n=−4

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What is 23.5 is in expanded and word

vesna_86 [32]

Greetings!

"What is 23.5 is in expanded and word?"...

Expanded Form: 20+3+0.5
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Hope this helps.
-Benjamin

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2 years ago

What is the difference between 3/7 and 1/14 ?

mars1129 [50]

It would be: 3/7-1/14 = 6-1 / 14 = 5/14

So, 5/14 is your answer..........

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3 years ago

You might have experienced static electricity and even felt a mild shock. Think about what you observed. Then write down one or

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Answer:

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3 years ago

Read 2 more answers

I do not understand this at all, can someone please help me with the steps in each question

Mandarinka [93]

Answer:

285 min

275 min

chi

tie

Step-by-step explanation:

swim - 1.5 km

bicycle ride - 40 km

run - 10 km

1) Alexandra

swim time = distance / velocity = 1.5 / 5 = 0.3 hr = 18 min

transition 1 time = 4 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 3 min

run time = distance / velocity = 10 / 6 = 1.6666667 hr = 100 min

so total time to complete the triathlon is

= 18 + 4 +160 + 3 +100

= 285 min = 4.75 hrs

2) Chi

swim time = distance / velocity = 1.5 / 6 = 0.25 hr = 15 min

transition 1 time = 5 min

cycling time = distance / velocity = 40 / 15 = 2.6666667 hr = 160 min

transition 2 time = 5 min

run time = distance / velocity = 10 / 7.5 = 1.3333333 hr = 80 min

got flat tire that took 10 min to fix

so total time to complete the triathlon is

= 15 + 5 + 160 + 5 + 80 + 10

= 275 min

3) Alexandra won the race by 10 min

4)even though chi got flat tire , chi still won the race by 10 min,

if it took 20min to fix flat tire both their times would be 285 min and it would have been a tie.

6 0

2 years ago

Find the y intercepts of 3x^2+24x-51. quadratic formula

julia-pushkina [17]

Quadratic Formula: $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , with a = x^2 coefficient, b = x coefficient, and c = constant.

Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

$y=3*0^2+24*0-51\\y=0+0-51\\y=-51$

Your y-intercept is (0,-51).

Next, using our equation plug the appropriate values into the quadratic formula:

$x=\frac{-24\pm \sqrt{24^2-4*3*(-54)}}{2*3}$

Next, solve the multiplications and exponent:

$x=\frac{-24\pm \sqrt{576-(-648)}}{6}\\\\x=\frac{-24\pm \sqrt{576+648}}{6}$

Next, solve the addition:

$x=\frac{-24\pm \sqrt{1224}}{6}$

Now, simplify the radical using the product rule of radicals as such:

Product Rule of Radicals: √ab = √a × √b

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

$x=\frac{-24\pm 6\sqrt{34}}{6}$

Next, divide:

$x=-4\pm \sqrt{34}$

The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

$x=-4+ \sqrt{34},-4- \sqrt{34}\\x\approx 1.83, -9.83$

The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).

5 0

3 years ago