All categories

3 years ago

2(4x-3)>-3(3x)+5x help

Mathematics

2 answers:

Roman55 [17]3 years ago

3 0

Answer:

$x>1/2$

Step-by-step explanation:

$2(4x-3)>-3(3x)+5x$

Expand the brackets.

$8x-6>-9x+5x$

Add -9x and 5x

$8x-6>-4x$

Add 4x and 6x on both sides.

$8x+4x>6$

Add the like terms.

$12x>6$

Divide 12 into both sides.

$12x/12>6/12$

$x>1/2$

marissa [1.9K]3 years ago

3 0

Answer:

x > 1/2

Step-by-step explanation:

We have the inequality 2(4x - 3) > -3(3x) + 5x.

Let's first expand all the parentheses on the left side. When doing so, remember that we take the sum of the products of the outside number with each of the inside numbers:

2 * 4x + 2 * (-3) > -9x + 5x

8x - 6 > -4x

Add 4x and 6 to both sides:

8x + 4x > 6

12x > 6

Divide by 12:

x > 6/12

x > 1/2

Thus, any x value greater than 1/2 works: x > 1/2.

<em>~ an aesthetics lover</em>

You might be interested in

Vani bought two pounds of strawberries for $8.00. What is the price, in dollars per ounce of strawberries?

WARRIOR [948]

Answer:

the prize is 8.00 for 1 pound

7 0

3 years ago

Which equation is equivalent to √x^2+81 = x+10

jeka57 [31]

Keywords:

<em>equation, operations, equivalent, binomial, square root </em>

For this case we have an equation in which we must apply operations to rewrite it in an equivalent way. We must start by raising both sides of the equation to the square. Thus, we eliminate the square root of the left side of equality and finally solve the binomial of the right side of equality.

So we have:

$\sqrt {x ^ 2 + 81} = x + 10\\(\sqrt {x ^ 2 + 81}) ^ 2 = (x + 10) ^ 2\\x ^ 2 + 81 = (x + 10) ^ 2$

By definition: $(a + b) ^ 2 = a ^ 2 + 2ab + b ^ 2$

$x ^ 2 + 81 = x ^ 2 + 2 (x) (10) + (10) ^ 2\\x ^ 2 + 81 = x ^ 2 + 20x +100$

Thus, $x ^ 2 + 81 = x ^ 2 + 20x +100$ is equivalent to $\sqrt {x ^ 2 + 81} = x + 10$

Answer:

$x ^ 2 + 81 = x ^ 2 + 20x +100$

Option D

4 0

4 years ago

Read 2 more answers

When 2x^2 - 20x + 49 = 19 is written in the form (x - p)^2 = q, what is the value of q? Show your work please.

Strike441 [17]

= 2x^2 - 20x + 49 = 2(x^2 - 10x + 49/2)

y= 2((x-5)^2 - 25 + 49/2) = 2((x-5)^2 - 1/2) = 2(x-5)^2 - 1

q =5, r=-1, p=2

Vertex = (q,r) = (5,-1)

hope it helps plz mark as brainliest

5 0

3 years ago

Which expression is equivalent to n+n+n+n? pick outta these A n4 B 4n C4n to the power of 4 D n+4

labwork [276]

Answer:

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What is 64/7 in simplest form

vichka [17]

It already is in simplest form. In mixed fraction, it would be 9 1/7