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Vladimir [108]
3 years ago
11

Solve the inequality below -3(11 + 6x) < -42 - 9x

Mathematics
1 answer:
GarryVolchara [31]3 years ago
5 0

Answer:

x>1

Step-by-step explanation:

-3(11 + 6x) < -42 - 9x

Expand:

-33-18x

Add 33 to both sides:

-33-18x+33

-18x

Add 9x to both sides:

-18x+9x

-9x

Flip the signs (and the symbol)

9x>9

Divide both sides by 9:

\frac{9x}{9}>\frac{9}{9}

x>1

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E vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). The perimeter of ∆ABC is units, and its area is square units.
UNO [17]

We can use the distance formula to calculate perimeter: \sqrt{(x_{1}-x_{2})^2+(y_{1}-y_{2})^2} = Distance


From A to B: √232

From B to C: 10

From C to A: √52


10 + √232 + √52 = 10 + 2√58 + 2√13


Perimeter = 10 + 2√58 + 2√13 units


For Area we can use matrices, but since one of the sides is horizontal, we can just calculate with distance formula and area of triangle formula.


The area of a triangle formula is 1/2(h x b)

h=height

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3 years ago
Please help its important
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Part A

The sequence is geometric because the y values are doubling each time

4*2 = 8

8*2 = 16

16*2 = 32

The common ratio is r = 2.

<h3>Answer: Geometric</h3>

=======================================================

Part B

The recursive rule here would be

\begin{cases}a_1 = 4\\a_n = 2*a_{n-1}\end{cases}

The first line says that "the first term is 4"

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Answer: She takes <u>64 minutes</u> to complete station 5

========================================================

Part C

We see that a = 4 is the first term and r = 2 is the common ratio.

The explicit nth term formula is a(r)^(n-1) which becomes 4(2)^(n-1)

Plugging in the value n = 8 leads to

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<h3>Answer: 512 minutes</h3>
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