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Colt1911 [192]
3 years ago
13

Express the product of 2x^2+6x-8 and x+3 in standard form

Mathematics
1 answer:
Radda [10]3 years ago
7 0
The answer is  2x³ + 12x² + 10x - 24

(2x² + 6x - 8)(x + 3) = x(2x² + 6x - 8) + 3(2x² + 6x - 8) =
                                = 2x³ + 6x² - 8x + 6x² + 18x - 24 =
                                = 2x³ + (6x² + 6x²) + (-8x + 18x) - 24 =
                                = 2x³ + 12x² + 10x - 24
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A ship travels 40 miles due east, then adjusts its course 12° southward. After traveling 70 miles in that direction, how far is
Levart [38]

The ship movement is an illustration of distance and bearing

The ship is 31.97 miles from its point of departure

<h3>The distance from the point of departure?</h3>

The given parameters are:

  • Distance east = 40 milies
  • Distance southwards = 70 miles
  • Angle = 12 degrees

See attachment for the image of the above parameters

The distance (x) from the point of departure is then calculated using the following cosine function

a^2 = b^2 + c^2 - 2bc * cos(Ф)

So, we have:

x^2 = 40^2 + 70^2 - 2 * 40 * 70 * cos(12)

Evaluate the exponent and the product

x^2 = 6500 - 5477.63

Evaluate the difference

x^2 = 1022.37

Evaluate the exponent

x = 31.97

Hence, the ship is 31.97 miles from its point of departure

Read more about distance and bearing at:

brainly.com/question/24142612

8 0
2 years ago
James has just sold his motorbike for £1,890. He bought the motorbike for £2,700. What was his percentage loss? %
Usimov [2.4K]
£2.700 - £1890 = £810

<span>£ (money) -------------- percentage (%)
</span>2.700 -------------------- 100
810 ----------------------- x

2700*x = 810*100
2700x = 81000
x =  \frac{81000}{2700}
\boxed{x = 30}

Answer: 
Percentage loss = 30%
6 0
3 years ago
Find the values of x and y
IrinaVladis [17]
The value of y=29
the value of x=61
7 0
3 years ago
Read 2 more answers
School games &amp; Others Solve.
insens350 [35]

Answer:

3.24!

Step-by-step explanation:

5 0
3 years ago
A baker is selling a ton of pies. She puts them in crates and boxes. There are 65 crates and 121 boxy. Each crate contains 43 ap
marta [7]

Let's first find the number of apple pies.

apple pies = 65 crates x 43 apple pies per crate = 2795 apples pies

If each apple pie cost $12 then...

money from apple pies = 2795 apple pies x $12 = $33540

total pies sold = 2795 apple pie + 121 boxes x 76 sweet potato pies = 11991 pies

4 0
3 years ago
Read 2 more answers
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