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Ray Of Light [21]
3 years ago
13

Given that f(x) = 3x ^ 3 + x - 1 evaluate the function f(- 2)

Mathematics
1 answer:
Whitepunk [10]3 years ago
4 0

Answer:

-27

Step-by-step explanation:

3(-2)³-2-1 =

3(-8)-3 =

-24-3=-27

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The height of a triangle is 2 less than 5 times it's base. If the base of the triangle is x feet, and the area of the triangle i
____ [38]

Answer:

Area A = 12 = 1/2 × x × (5x-2)

5x^2 - 2x -24 = 0

Solution;

Base x = 2.4

Height h = 10 ft

Step-by-step explanation:

Given;

base of the triangle is x feet;

Base = x

The height of a triangle is 2 less than 5 times it's base;

Height = 5x - 2

the area of the triangle is 12 square feet;

Area A = 12 ft^2

The area of a triangle is;

Area A = 1/2 × base × height

Substituting the base and height;;

Area A = 1/2 × x × (5x-2)

Area A = 1/2 × (5x^2 - 2x)

Area A = 12

12 = 1/2 × (5x^2 - 2x)

Multiply through by 2.

24 = (5x^2 - 2x)

5x^2 - 2x -24 = 0

Solving the simultaneous equation;

x = 2.4 or -2

Since the base cannot be negative;

x = 2.4 ft

Height h = 5x -2 = 5(2.4) - 2 = 12 - 2 = 10 ft

Base x = 2.4

Height h = 10 ft

6 0
3 years ago
Find the total service area of this cone. leave your answer in terms of pi. <br> r=10in h=24in
daser333 [38]

Answer:

36pie inch²

Step-by-step explanation:

Answer attached

<em>Hope</em><em> </em><em>it</em><em> </em><em>helps</em><em> </em><em>:</em><em>)</em>

5 0
3 years ago
115 divided by 356................
Airida [17]

Answer:

0.32        

:)

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8 0
3 years ago
Read 2 more answers
What is the product 4n/4n-4 n-1/n+1
olga_2 [115]
4n/4n-4 × n-1/n+1
= 4n(n-1)/(4n-4)(n+1)
= (4n^2 - 4n)/(4n^2 + 4n - 4n-4)
= (4n^2 - 4n)/(4n^2 - 4)
= 4(n^2 - n)/4(n^2 - 1)
=(n^2 - n)/(n^2 - 1)
5 0
4 years ago
The length of a rectangular is 2/5 meter.It's width is 1/4 of its length .What is the perimeter of the rectangle?
Varvara68 [4.7K]
I think the answer is 2 13/20
Or, in decimals:             1.3
3 0
3 years ago
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