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Nezavi [6.7K]
3 years ago
7

Rewrite y +2> +(6x –9) to isolate the y-term. Rewrite y +2>2(6x- Helppppp

Mathematics
1 answer:
Ilya [14]3 years ago
6 0

Given:

The inequality is:

y+2>\dfrac{1}{3}(6x+9)

To find:

The inequality after isolating the y-term.

Solution:

We have,

y+2>\dfrac{1}{3}(6x+9)

On simplification, we get

y+2>\dfrac{1}{3}(6x)+\dfrac{1}{3}(9)

y+2>2x+3

Subtracting 2 from both sides of the above inequality, we get

y+2-2>2x+3-2

y>2x+1

Therefore, the required inequality is y>2x+1.

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The net of a triangular prism is shown below. What is the surface area of the prism? A. 128 cm^2 B. 152 cm^2 C. 176 cm^2 D. 304
shtirl [24]

Answer:

B. 152 cm²

Step-by-step explanation:

To find the surface area using a net, do this:

Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each (A=l*w) and then add the values together:

The first rectangle on the left is the same as the one on the right.

5*8=40

Two measures are 40 cm².

The middle rectangle is:

6*8=48

48 cm²

The formula for the area of a triangle is A=\frac{1}{2}*b*h:

A=\frac{1}{2}*6*4\\\\A=\frac{1*6*4}{2}\\\\A=\frac{24}{2}\\\\ A=12

The area of the two triangles is 12 cm².

Now add the values:

40+40+48+12+12=152

The area of the figure is 152 cm².

:Done

4 0
4 years ago
1.18. A fish tank has a base, B, with an area, in square inches, modeled by B(x) = 2x + 6x + 4.
Alekssandra [29.7K]

Answer:

The volume of fish tank is V(x)=2x^3+12x^2+22x+12

Step-by-step explanation:

Area of Base of fish tank = Length \times Breadth

We are given that A fish tank has a base, B, with an area, in square inches, modeled byB(x) = 2x^2 + 6x + 4.

So,  Length \times Breadth =2x^2 + 6x + 4.

Height of tank = x+3

Volume of tank = Length \times Breadth \times Height

So, Volume of tank =(2x^2 + 6x + 4)(x+3)

Volume of Tank =2x^3+6x^2+4x+6x^2+18x+12=2x^3+12x^2+22x+12

Hence The volume of fish tank is V(x)=2x^3+12x^2+22x+12

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3 years ago
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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7 0
3 years ago
The point-slope form of the equation of the line that passes through (-5, -1) and (10,-7) is
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Step-by-step explanation:

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