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kirill115 [55]
3 years ago
5

Multiply −2x(6x^4−7x^2+x−5)

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
8 0

Answer:

<h2>-12x⁵ + 14x³ - 2x² + 10x</h2>

Step-by-step explanation:

Use distributive property:

<em>a(b + c) = ab + ac</em>

-2x(6x^4-7x^2+x-5)\\\\=(-2x)(6x^4)+(-2x)(-7x^2)+(-2x)(x)+(-2x)(-5)\\\\=-12x^5+14x^3-2x^2+10x

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One number is nine more than a second number. Four times the first is 6 less than 2 times the second. Find the numbers.
Masteriza [31]

9514 1404 393

Answer:

  -12, -21

Step-by-step explanation:

Let x represent the first number. Then the second is x-9. The other relation is ...

  4x = 2(x-9) -6

  2x = -24 . . . . . subtract 2x, simplify

  x = -12

  x-9 = -21

The first number is -12; the second number is -21.

6 0
3 years ago
A punch bowl had 2\dfrac122 2 1 ​ 2, start fraction, 1, divided by, 2, end fraction liters of juice in it. Liam drank \dfrac13 3
8_murik_8 [283]

Answer:

5/6 liters.

Step-by-step explanation:

Given that:

Amount of juice in a punch bowl = 2 * 1/2 liters

= 5/2 liters.

Part of juice drank by Liam from the bowl = 1/3

Amount of juice drank by Liam =

= 5/2 * 1/3 = 5\6 liters.

4 0
3 years ago
If you have a job that earns $120 in 2 days, how much would you earn in 6 days? Use a chart to show the proportion of earnings f
zepelin [54]
To figure this out, we need to use fractional proportions.

Currently, we have $120, the amount earned, and 2 days, the current rate.
Our fraction for this is: 120 / 2 = x / 6, x being the amount earned in 6 days.

Let's use a little technique to help us answer faster.

With our current money earned, 120, and our current days, 2, we can divide 120 by 2 to find out how many we earned in 1 day.

120 / 2 = 60.

We earned $60 per day.

With this formula, 60d, d being the amount of days, we can solve quicker.

We are solving for 6 days, so multiply $60 by 6 days.

60 x 6 = 360

Your proportion is : 

120/2 : 360/6

I hope this helps!
6 0
3 years ago
Martin has 5/6 of a pizza. Liam has 4 times as much pizza as Martin.
Novosadov [1.4K]

Answer:

Liam has 3 whole pizza along with 1/3 of a pizza.

In decimal,  Liam has 3.33 of Pizza.

Step-by-step explanation:

Given

Quantity of pizza with Martin = 5/6 of a pizza

Pizza with Liam = 4*Quantity of pizza with Martin

Pizza with Liam = 4*5/6 of a pizza

Pizza with Liam = 10/3 of a pizza = 3 1/3 of pizza.

Thus, Liam has 3 whole pizza along with 1/3 of a pizza.

In decimal Liam has 3.33 of Pizza.

7 0
3 years ago
Write an equation for a linear function whose graph has the given characteristics.
Sophie [7]

Answer:

y-1=1/4(x-8)

x-4y-4=0

7 0
4 years ago
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