All categories

3 years ago

Solve the inqualities 3x-3<9

Mathematics

1 answer:

pentagon [3]3 years ago

8 0

Answer: x < 4

Step-by-step explanation: When solving the inequality 3x - 3 < 9, just like an equation our first step is to isolate the x term which is 3x by adding 3 to both sides of the inequality.

On the left, -3 + 3 cancels and we have 3x.

Make sure to bring down the < sign.

On the right, 9 + 3 simplifies to 12.

So we have 3x < 12.

Now, divide both sides of the inequality by 3 to isolate x.

When we do that we get x < 4

So our answer is x < 4.

You might be interested in

The tangents to the curve with equation y = x^3-3x at the points A and B with x coordinates −1 and 4 respectively meet at the po

sladkih [1.3K]

Answer:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

Step-by-step explanation:

We need to find the equation of the tangent lines of Points A and B.

Differentiate the equation:

$\displaystyle \frac{dy}{dx}=3x^2-3$

Point A has an x-coordinate of -1. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=-1}=3(-1)^2-3=0$

Find the y-coordinate of Point A using the original equation:

$y(-1)=(-1)^3-3(-1)=2$

Hence, Point A is (-1, 2).

Thus, the tangent line at Point A is:

$y-2=0(x-(-1))$

Simplify:

$y=2$

Point B has an x-coordinate of 4. Hence, the slope of its tangent line is:

$\displaystyle \frac{dy}{dx}\Big|_{x=4}=3(4)^2-3=45$

Find the y-coordinate of Point B:

$y(4)=(4)^3-3(4)=52$

Thus, Point B is at (4, 52).

So, the tangent line at Point B is:

$y-52=45(x-4)$

Simplify:

$y=45x-128$

Point C occurs at the intersections of the tangent lines of Points A and B. Set the two equations equal to each other and solve for x:

$2=45x-128$

We acquire:

$\displaystyle x=\frac{26}{9}$

Since one of our equations is y = 2, the y-coordinate is 2.

Hence, Point C is:

$\displaystyle C=\left(\frac{26}{9}, 2\right)$

5 0

3 years ago

Read 2 more answers

What is true about the sum of the two polynomials?

const2013 [10]

Answer:

f'(x) = -f(x) = 9xy² - 6x²y + 5x³

Step-by-step explanation:

f(x) = –9xy² + 6x²y – 5x³

additive inverse: f'(x) = -f(x) = 9xy² - 6x²y + 5x³

f(x) + f'(x) = f(x) -f(x) = (–9xy² + 6x²y – 5x³) + (9xy² - 6x²y + 5x³) = 0

8 0

3 years ago

What is the volume of an 8cm cube

Sloan [31]

Answer:

V = 512 cm³

Step-by-step explanation:

Use the formula V = s³ to find the volume of the cube

V = 8³

V = 512 cm³

5 0

3 years ago

How many solutions does the system have?

Mrac [35]

Answer:

A Exactly one solution

Step-by-step explanation:

$\left \{ {{6x-3y=9} \atop {6x+y=9}} \right.\\\\\left \{ {{6x-3y=9} \atop {-6x-y=-9}} \right\\\\Then, \\\\-4y=0\\\\\\ y=0\\\\$

Putting y=0 at second equation, we have

$-6x=-9\\\\x=\frac{9}{6} =\frac{3}{2}$

The unique solution is $(\frac{3}{2} , 0)$

3 0

3 years ago

Help please...............

frozen [14]

Answer:

Sam made a mistake, and their correct value is 30.

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers