All categories

2 years ago

Find the graph of the inequality y+2>-3(x+1)

Mathematics

1 answer:

Serhud [2]2 years ago

3 0

Answer:

Below.

Step-by-step explanation:

y + 2 > -3(x + 1)

y + 2 > -3x - 3

y > -3x - 5

The graph will be the graph of the line y = -3x - 5 (dotted line), with the area above the line shaded.

You might be interested in

Need help with my homework

Volgvan

Answer:

$\displaystyle y=\frac{16-9x^3}{2x^3 - 3}$

$\displaystyle y=-\frac{56}{13}$

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

$\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}$

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

$\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3$

Simplify the radical with the cube:

$\displaystyle x^3=\frac{3y+16}{2y+9}$

Multiply by 2y+9

$\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)$

Simplify:

$\displaystyle x^3(2y+9)=3y+16$

Operate the parentheses:

$\displaystyle x^3(2y)+x^3(9)=3y+16$

$\displaystyle 2x^3y+9x^3=3y+16$

Subtract 3y and $9x^3$ :

$\displaystyle 2x^3y - 3y=16-9x^3$

Factor y out of the left side:

$\displaystyle y(2x^3 - 3)=16-9x^3$

Divide by $2x^3 - 3$ :

$\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}$

ii) To find y when x=2, substitute:

$\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}$

$\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}$

$\displaystyle y=\frac{16-72}{16- 3}$

$\displaystyle y=\frac{-56}{13}$

$\mathbf{\displaystyle y=-\frac{56}{13}}$

8 0

2 years ago

What is a parallegram ?

Mrrafil [7]

A quadrilatetal with two different pairs of equal and parallel sides.

5 0

3 years ago

The total for shipping charges for the 8 full boxes was $54.75 more than the total for shipping charges for the partially filled

lakkis [162]

Answer:

Step-by-step explanation:

536 because it is correct

4 0

3 years ago

Will give brainliest give the answer and steps

tester [92]

Answer:B=8

Step-by-step explanation:

3 0

2 years ago

A parallelogram has a length of 15cm and a height of 7.5cm . Calculate it’s area (step by step)

poizon [28]

Answer:

Area of parallelogram is equal to $112.5cm^2$

Step-by-step explanation:

It is given length pf parallelogram which is equal to base of parallelogram is b=15 cm

Height of parallelogram h = 7.5 cm

We have to find the area of the parallelogram.

Area of parallelogram is equal to multiplication of base and height.

Therefore area of parallelogram is,

$A=bh$ , here b is base and h is height.

So $A=15\times 7.5=112.5cm^2$

Therefore area of parallelogram is equal to $112.5cm^2$

3 0

2 years ago