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3 years ago

(4x – 6°) (x + 6y)" Solve for y.

Mathematics

1 answer:

12345 [234]3 years ago

4 0

Answer:

Simplifying

(4x + -6) = (x + 6y)

Reorder the terms:

(-6 + 4x) = (x + 6y)

Remove parenthesis around (-6 + 4x)

-6 + 4x = (x + 6y)

Remove parenthesis around (x + 6y)

-6 + 4x = x + 6y

Solving

-6 + 4x = x + 6y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.

-6 + 4x + -1x = x + -1x + 6y

Combine like terms: 4x + -1x = 3x

-6 + 3x = x + -1x + 6y

Combine like terms: x + -1x = 0

-6 + 3x = 0 + 6y

-6 + 3x = 6y

Add '6' to each side of the equation.

-6 + 6 + 3x = 6 + 6y

Combine like terms: -6 + 6 = 0

0 + 3x = 6 + 6y

3x = 6 + 6y

Divide each side by '3'.

x = 2 + 2y

Simplifying

x = 2 + 2y

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Determine if the conclusion follows logically from the premises. Is this a valid or invalid argument?

Oksi-84 [34.3K]

Answer:

Valid Argument

Step-by-step explanation:

An argument is valid if its conclusion follows with certainty from its premises.

Given:

Premise: If it has an engine, I can fix it.

Premise: Cars have engines.

Conclusion: I can fix cars.

The argument is valid since the conclusion follows with certainty from the given premises.

7 0

3 years ago

The volume of a CONE-shaped hole is 75pi ft cubed. If the hole is 9 feet deep, what is the radius of the hole?

Arturiano [62]

Answer:

The radius of hole is 5 feet

Step-by-step explanation:

Depth of conical hole = 9 feet

Let the radius of hole be r

Volume of conical hole = $\frac{1}{3} \pi r^2 h$

So, Volume of conical hole = $\frac{1}{3} \pi \times r^2 \times 9$

We are given that volume of a CONE-shaped hole is 75pi ft cubed.

So, $\frac{1}{3} \pi \times r^2 \times 9=75 \pi$

$\frac{1}{3} \times r^2 \times 9=75$

$r^2=\frac{75 \times 3}{9}$

$r=\sqrt{\frac{75 \times 3}{9}}$

r=5

Hence The radius of hole is 5 feet

6 0

3 years ago

Write an expression with five different terms that is equivalent to 8x^2 + 3x^2 + 3y

Misha Larkins [42]

$▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪$

An expression having five terms which is equivalent to above term is :

$5x {}^{2} + 3 {x}^{2} + 3{x}^{2} +4y - y$

3 0

3 years ago

Need some help with this one please

Airida [17]

Answer: Choice A

y = (-3/4)(x + 4) + 6

=====================================================

Let's go through the answer choices

Choice A is something we'll come back to
Choice B is false because the line does not go uphill as we move from left to right. The graphed line has a negative slope, which contradicts what choice B is saying.
Choice C is false for similar reasons as choice B. The slope should be negative.
Choice D has a negative slope, but the y intercept is wrong. The y intercept should be 3. So choice D is false as well.

We've eliminated choices B through D.

Choice A must be the answer through process of elimination.

------------

Here's an alternative method:

If we started at a point like (0,3) and move to (4,0), note how the slope is -3/4

This is because we've moved down 3 units and to the right 4 units.

m = slope = rise/run = -3/4

We can also use the slope formula m = (y2-y1)/(x2-x1) to see this.

Then we pick on a point that is on the diagonal line. It could be any point really, but the point your teacher used for choice A is (x1,y1) = (-4,6)

So,

y - y1 = m(x - x1)

y - 6 = (-3/4)(x - (-4))

y - 6 = (-3/4)(x + 4)

y = (-3/4)(x + 4) + 6

7 0

3 years ago

Explain why 2/3 ×12 can be written as 2 × 12 ÷3

nalin [4]

Answer:

violates the rules or bedmas

Step-by-step explanation:

When doing questions like these, bedmas comes into play. althought multiplication and division are the same in terms of priority, you should do the one that comes first when reading the equation/formula left to right.

this would mean you would do 2 ÷ 3 and the answer would be multiplied by 12.

8 0

3 years ago