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Irina-Kira [14]
3 years ago
5

Three times the sum of a number and seven, all divided by four.

Mathematics
1 answer:
statuscvo [17]3 years ago
6 0

Answer:

[3(x+7)]/4

Step-by-step explanation:

[3(x+7)]/4

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don't know sorry babe

Step-by-step explanation:

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Mark wants to find the area of a circle with a diameter of 6 cm. Which expressions can he use to find the area of the circle in
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1) Let f(x)=ax2+bx+c for some value of a, b and c. f intersects the x-axis when x=−2 or x=3, and f( 1 3 )=−25. Find the values o
antiseptic1488 [7]

Answer:

1) a = -⅙, b = ⅙, c = 1

2) 6 units

Step-by-step explanation:

1) f(x) = ax² + bx + c

Given the roots, we can write this as:

f(x) = a (x + 2) (x − 3)

We know that f(13) = -25, so we can plug this in to find a:

-25 = a (13 + 2) (13 − 3)

-25 = 150a

a = -⅙

Therefore, the factored form is:

f(x) = -⅙ (x + 2) (x − 3)

Distributing:

f(x) = -⅙ (x² − x − 6)

f(x) = -⅙ x² + ⅙ x + 1

Graph: desmos.com/calculator/6m6tjoodvb

2) Volume of a right prism is area of the base times the height.

V = Ah

The base is an equilateral triangle.  Area of a triangle is one half the base times height.

V = ½ ab h

The height of the triangle is the same as the height of the prism.

V = ½ bh²

In an equilateral triangle, the height is equal to half the base times the square root of 3.

V = ½ b (½√3 b)²

V = ⅜ b³

Given that V = 81, solve for b.

81 = ⅜ b³

216 = b³

b = 6

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3 years ago
Solve for a.
lesya692 [45]
I am 100% sure that A equals -2.3
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3 years ago
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