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Kruka [31]
2 years ago
8

Help!!! Find the domain of the function. Write the answer in interval notation.

Mathematics
1 answer:
beks73 [17]2 years ago
7 0

Answer:

A

Step-by-step explanation:

Given

f(x) = \frac{2}{3x+2}

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the value that x cannot be.

3x + 2 = 0 ⇒ 3x = - 2 ⇒ x = - \frac{2}{3} ← excluded value

Then

domain is ( - ∞ , - \frac{2}{3} ) U ( - \frac{2}{3}, ∞ ) → A

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7. What is a metaphor? *
Vesnalui [34]

Answer: A

Step-by-step explanation: B is a simile, D isn't true, and C doesn't exist (there is no type of figurative language that means that). I hope this helps you out!

4 0
3 years ago
Help please!!
Pavel [41]

Answer:

1. Left side = 3 inches, Bottom side = 4 inches, Right side = 2 inches, Top side = 5 inches

2.  A = 6 inches²

3.  A = 8 inches²

4.  A = 10 inches²

5.  A = 12 inches²

6.  A = 36 inches²

7. Left side = 5 cm, Bottom side = 12 cm, Right side = 4 cm, Top side = 13 cm

8. A = 180 cm²

Step-by-step explanation:

1. Label the dimensions of the prism:

Left side = 3 inches

Bottom side = 4 inches

Right side = 2 inches

Top side = 5 inches

2. Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 3 x 2

A = 6 inches²

3. Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 4 x 2

A = 8 inches²

4. Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 2

A = 10 inches²

5. (They gave the formula of the two triangles, but the question said green rectangle?  They must've meant yellow triangles)

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 3 x 4)

A = 2(1/2 12)

A = 2(6)

A = 12 inches²

6. Total surface area of the triangular prism:

Formula:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 6 inches² + 8 inches² + 10 inches² + 12 inches²

A = 36 inches²

7. Label the dimensions of the prism:

Left side = 5 cm

Bottom side = 12 cm

Right side = 4 cm

Top side = 13 cm

8. Total surface area of the triangular prism:

First, we can find the area of each shape, as we had previously to find the total area of the net and the surface area of the triangular prism.

Area of the red rectangle:

Formula:

LH = A (Length x Height = Area)

A = 5 x 4

A = 20 cm²

Area of the blue rectangle:

Formula:

LH = A (Length x Height = Area)

A = 12 x 4

A = 48 cm²

Area of the green rectangle:

Formula:

LH = A (Length x Height = Area)

A = 13 x 4

A = 52 cm²

Area of the yellow triangles:

Formula:

2 (1/2 Bh) (2 (half of base x height))

A = 2(1/2 5 x 12)

A = 2(1/2 60)

A = 2(30)

A = 60 cm²

Total surface area of the triangular prism:

LH + LH + LH + 2 (1/2 Bh) = Surface Area of the triangular prism (Area of the red rectangle + Area of the blue rectangle + Area of the green rectangle + Area of the yellow triangles = Total surface area of the triangular prism)

A = 20 cm² + 48 cm² + 52 cm² + 60 cm²

A = 180 cm²

5 0
2 years ago
Oliver is 33 years old than is son .eight years ago Oliver's age is five more than thrice his son's present age go old is Oliver
galina1969 [7]

Answer:

gonna need a bit better grammer here or i cant help

Step-by-step explanation:

i dont know

6 0
3 years ago
32 divided by a number c
Drupady [299]
32/C would be the answer-
3 0
3 years ago
Find the distance between the pair of points (18, -18) and (-17, -25)
MakcuM [25]

Answer:

35.6931366

Step-by-step explanation:

distance = to square root of (x2-x1)^2+(y2-y1)^2

substiute  in the equation

so square root of (-17-18)^2+(-25--18)^2

=7square root of 26

or 35.6931366

3 0
3 years ago
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