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Yakvenalex [24]
3 years ago
6

Solve 3x2 – 18x + 5 = 47 for x.

Mathematics
2 answers:
velikii [3]3 years ago
5 0

Answer:

x = 3 +√23 and x = 3 - √23

Step-by-step explanation:

The given equation 3x^2 -18x +5 = 47

This can be written as 3x^2 -18x + 5 - 47 =0

3x^2 -18x - 42 = 0

Here we have to use the quadratic formula.

x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a}

From the given equation, a = 3, b = -18 and c = -42

Plug in these values in the above formula, we get

x = \frac{-(-18) +/- \sqrt{(-18)^2 - 4.3.(-42)} }{2.3}

x = \frac{18 +/- \sqrt{828} }{6}

Simplifying the above expression, we get

x = 3 +√23 and x = 3 - √23

Hope this will helpful.

Thank you.

Ivenika [448]3 years ago
5 0

Answer:

x = 3 (+-)√23

ANSWER A

Step-by-step explanation:

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8 0
3 years ago
Juan rides his bike 30 miles in 8 hours. At this rate how many miles does he ride his bike
irinina [24]

Answer:

answer is 7.5 miles

Step-by-step explanation:

30/8=3.75 mi in one hour

3.75*2=7.5 miles in 2 hours

hope it helps

6 0
3 years ago
If an average orange weighs 75 g, how many oranges would weigh 4.5 kg?​
sashaice [31]

Answer: 60 oranges

Step-by-step explanation:

<u>Given information</u>

Weight = 75 g / orange

Total = 4.5 kg

<u>Given formula</u>

Total = Number of oranges × Average weight

<u>Convert Kilogram unit to Gram</u>

1 kg = 1000 g

4.5 kg = 4.5 × 1000 = 4500 g

<u>Substitute values into the given formula</u>

Total = Number of oranges × Average weight

Number of oranges = Total / Average weight

Number of oranges = 4500 / 75

<u>Simplify by division</u>

\Large\boxed{Number~of~oranges~=~60}

Hope this helps!! :)

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5 0
2 years ago
Read 2 more answers
What is 11/12 minus 3/8
Mrac [35]

Answer: \frac{13}{24}

Step-by-step explanation: 11/12 - 3/8

1. First, we will find a common denomenator. It needs to be the least common factor, or the answer will not be in its simplist form. Let's take a look at the multiples of 12 and 8.

12: 12, 24, 36, 48, 60, 72, 84, 96

8: 8, 16, 24, 32, 40, 48, 56, 64, 72

2. Next, we will choose the smallest common multiple. That would be 24.

3. Now, we will work this out.

11/12 = 22/24

3/8 = 9/24

4. Subtract.

22/24 - 9/24

= 13/24

= \frac{13}{24}

I found the denomenators by multiplying.

Hope this answer helped!

8 0
3 years ago
Select the correct answer.
torisob [31]

Answer:

  • C. - f(x) = f( - x)

Step-by-step explanation:

<u>Property of the odd function is:</u>

  • - f(x) = f( - x)

<u>Same applies to the given function:</u>

  • f(x) = -2x⁵ + x³ - 7x
  • f(- x) = -2(-x)⁵ + (- x)³ - 7(-x) = 2x⁵ - x³ + 7x = - (2x⁵ + x³ - 7x) = - f(x)
4 0
2 years ago
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