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erma4kov [3.2K]
3 years ago
10

Hey can you please help me posted picture of question

Mathematics
2 answers:
Shalnov [3]3 years ago
7 0
Answer:
x³ - 3x² - 18x

Explanation:
Before we begin, remember the following:
xᵃ * xᵇ = xᵃ⁺ᵇ

Now, for the given:
To solve thus question, we will simply multiply each term from the first bracket by each term from the second bracket and then combine like terms to get the final answer.

This can be done as follows:
(x + 3)(x² - 6x)
x(x²) + x(-6x) + 3(x²) + 3(-6x)
x³ - 6x² + 3x² - 18x
x³ - 3x² - 18x

Hope this helps :)
Daniel [21]3 years ago
6 0
Hey there :)

( x + 3 )( x² - 6x )

Now, we know what the FOIL method is:
First terms Outer terms Inner terms Last terms
We multiply as the method's full form clearly states

( x )( x² ) + x ( - 6x ) + 3 ( x² ) + 3 ( - 6x )
     ↓               ↓               ↓             ↓
  First         Outer       Inner        Last

x³ - 6x² + 3x² - 18x

Combine any like terms
x³ - 3x² - 18x

Your answer will be \boxed {Option \ A }
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damaskus [11]

Answer:

Step-by-step explanation:

Venus = 12000 km = 1.2 * 10⁴

Sun: Venus = 1.4 * 10⁶ : 1.2 * 10⁴

=\frac{1.4*10^{6}}{1.2*10^{4}}\\\\=\frac{1.4}{1.2}*10^{6-4}\\\\=1.17*10^{2}

7 0
3 years ago
How Do U write 310,763,136 in word from
pav-90 [236]
Three hundred ten million seven hundred sixty three thousand one hundred thirty six.

you never say 'and' when verbally saying a number because in math it implies a decimal is in place.
8 0
3 years ago
Read 2 more answers
What is the volume of this cone
wel

Answer:

6ix9ines a snitch

Step-by-step explanation:

aka rat

6 0
3 years ago
An island is 1 mi due north of its closest point along a straight shoreline. A visitor is staying at a cabin on the shore that i
Elanso [62]

Answer:

The visitor should run approximately 14.96 mile to minimize the time it takes to reach the island

Step-by-step explanation:

From the question, we have;

The distance of the island from the shoreline = 1 mile

The distance the person is staying from the point on the shoreline = 15 mile

The rate at which the visitor runs = 6 mph

The rate at which the visitor swims = 2.5 mph

Let 'x' represent the distance the person runs, we have;

The distance to swim = \sqrt{(15-x)^2+1^2}

The total time, 't', is given as follows;

t = \dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}

The minimum value of 't' is found by differentiating with an online tool, as follows;

\dfrac{dt}{dx}  = \dfrac{d\left(\dfrac{x}{6} +\dfrac{\sqrt{(15-x)^2+1^2}}{2.5}\right)}{dx} =  \dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} }

At the maximum/minimum point, we have;

\dfrac{1}{6} -\dfrac{6 - 0.4\cdot x}{\sqrt{x^2-30\cdot x +226} } = 0

Simplifying, with a graphing calculator, we get;

-4.72·x² + 142·x - 1,070 = 0

From which we also get x ≈ 15.04 and x ≈ 0.64956

x ≈ 15.04 mile

Therefore, given that 15.04 mi is 0.04 mi after the point, the distance he should run = 15 mi - 0.04 mi ≈ 14.96 mi

t = \dfrac{14.96}{6} +\dfrac{\sqrt{(15-14.96)^2+1^2}}{2.5} \approx 2..89

Therefore, the distance to run, x ≈ 14.96 mile

6 0
3 years ago
Find the m2.
Lisa [10]

9514 1404 393

Answer:

  d. m∠Q = 75 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180°. This triangle is marked to show it is an isosceles triangle, so the two base angles have the same measure.

  ∠P +∠Q +∠R = 180°

  x° +(2x +15)° +(2x +15)° = 180°

  5x = 150 . . . . . . . . . . . . . . . . . . . divide by °, subtract 30

  x = 30 . . . . . . . . . . . . . . . . divide by 5

  m∠Q = (2x +15)° = (2(30) +15)°

  m∠Q = 75°

8 0
3 years ago
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