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frosja888 [35]
3 years ago
7

2) f(x) = 27x^6+ 1524x^3+125

Mathematics
1 answer:
Norma-Jean [14]3 years ago
8 0

Answer:

Step-by-step explanation:

Let x^3 = y

f(x) = 27(x^3)^2 + 1524(x^3) + 125

f(x) = 27 y^2 + 1524y + 125

You can now put this into the quadratic formula. When you do, you get

(y + 0.0821)(y+56.3623) = 0

So now you substitute x^3 into this

(x^3 + 0.0821)(x^3 + 56.3623)

x^3 + 0.0821 = 0

x^3 = - 0.0821

cuberoot x^3 = cube root 0.0821

x = - 0.4346

x^3 = - 56.3623

x = - 3.8341

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The answer o the question is $38.85.
3 0
4 years ago
□+□+□=30<br> Fill in the boxes using 1,3,5,7,9,11,13,15<br> You can also repeat the number?
adelina 88 [10]

It is impossible to get the result of 30 using just odd numbers in the blanks.

Using factorials, we get  3! + 11 + 13 = 30 or 3! + 9 + 15 = 30

<em><u>Solution:</u></em>

----- + ------ + ------- = 30

We have to fill with numbers 1, 3, 5, 7, 9, 11, 13, 15 to get 30

We can also repeat the number

Given are the set odd numbers like 1, 3, 5, 7, 9, 11, 13, 15

We need three numbers to fill in the box to get 30

When three odd numbers are added, it results in odd number

But we should get 30, which is a even number

So it is impossible to get the result of 30 using just odd numbers in the blanks.

<em><u>Using tricks, some of solutions are:</u></em>

We can use factorial

3! + 9 + 15 = 6 + 9 + 15 = 30

Or

3! + 11 + 13

So, 6 + 11 + 13 = 30

5 0
3 years ago
You and your six friends are eating lunch and decide to split the bill equally. Write an algebraic expression explaining how you
Pie
X=t/7

x is the cost for each of the friends plus you (me)

t is the total amount of me and my friends

7 is me and my friends

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6 0
3 years ago
Three times the sum of a number, y, and 5 is at most 36.
Gnoma [55]

Answer:

7

Step-by-step explanation:

3(y+5)=36

divide both sides by 3

y+5=12

minus 5

y=7

4 0
2 years ago
The area of triangle ABC is 3√2 square inches. Find the measure of the acute angle, A, if b = 9 meters and c = 2 meters.
taurus [48]

Answer:

A\approx 28^{\circ}

Step-by-step explanation:

Please find the attachment.  

We have been given that area of triangle ABC is 3√2 square inches.

\text{Area}=\frac{1}{2}\text{Base}\times \text{height}

We know that area of triangle an be found using trigonometry as:

\text{Area}=\frac{1}{2}\times c\times h

\text{sin}(A)=\frac{h}{9}\\h=9\cdot \text{sin}(A)

3\sqrt{2}=\frac{1}{2}\times 2\times 9\cdot \text{sin}(A)

3\sqrt{2}=9\cdot \text{sin}(A)

9\cdot \text{sin}(A)=3\sqrt{2}

\text{sin}(A)=\frac{3\sqrt{2}}{9}

\text{sin}(A)=\frac{\sqrt{2}}{3}

Now, we will use inverse sine to find the value of angle A as:

A=\text{sin}^{-1}(\frac{\sqrt{2}}{3})

A=28.1255057^{\circ}

A\approx 28^{\circ}

Therefore, the measure of angle A is approximately 28 degrees.

3 0
3 years ago
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