Ask question

Ask question

All categories

3 years ago

15

6a squared - 15a - 8a + 20

2 answers:

Novosadov [1.4K]3 years ago

5 0

First we factor out 3a and -4. 3a(2a-5)-4(2a-5) =Now we take out (2a-5) our what’s left in brackets.(2a-5)(3a-4)

Sav [38]3 years ago

4 0

Heya!

Here is your answer:

6a²-15a-8a+20

= 3a(2a-5) -4(2a-5)

= (3a-4)(2a-5)

:)

You might be interested in

Eastridge High School’s Student Government Association is holding a raffle to raise money for a local food pantry. They have spe

Blababa [14]

"Interpret the rate of change and the y-intercept.

"

Rate of change is 5. Each ticket costs 5$.

Y-intercept is (0,-17). They spent $17 on supplies before they sold tickets.

(Sorry, you probably already know the answer)

5 0

3 years ago

What is the domain of y=log(x+2)

Andru [333]

Answer:

$\huge\boxed{x>-2\to x\in(-2;\ \infty)}$

Step-by-step explanation:

$y=\log(x+2)\\\\\bold{Domain:}\\\\x+2>0\qquad|\text{subtract 2 from both sides}\\\\x+2-2>0-2\\\\x>-2$

8 0

3 years ago

An express train travels 80km/h from Ironton to Wildwood. A local train, traveling at 48km/h, takes 2 hours longer for the same

masha68 [24]

Answer:

They are 240 kilometers apart.

Step-by-step explanation:

This question can be solved using the following relation:

$v = \frac{d}{t}$

In which v is the velocity, d is the distance and t is the time.

An express train travels 80km/h from Ironton to Wildwood.

Here we have $v = 80, t = x$ . So

$v = \frac{d}{t}$

$80 = \frac{d}{x}$

$d = 80x$

A local train, traveling at 48km/h, takes 2 hours longer for the same trip.

This means that when $v = 48, t = x + 2[tex]. So[tex]v = \frac{d}{t}$

$48 = \frac{d}{x+2}$

Since $d = 80x$

$48 = \frac{80x}{x+2}$

Applying cross multiplication

$80x = 48(x + 2)$

$80x = 48x + 96$

$32x = 96$

$x = \frac{96}{32}$

$x = 3$

So the distance is:

$d = 80x = 80*3 = 240$

They are 240 kilometers apart.

3 0

3 years ago

6. Solve this inequality: j/4 -8 < 4.

Vaselesa [24]

Answer:

D

Step-by-step explanation:

Given

$\frac{j}{4}$ - 8 < 4 ( add 8 to both sides )

$\frac{j}{4}$ < 12

Multiply both sides by 4 to clear the fraction

j < 48 → D

6 0

3 years ago

Solve your equation using trail and improvement. A number plus ten times its square root is is equal to one thousand

Alex

Answer:

$x \approx 729$

Step-by-step explanation:

Given

Let the number be x

So:

$x + 10\sqrt x = 1000$

Required

Using trial and improvement, find x

This implies that we keep guessing the values of x until we get a value that match the equation.

Let

$x = 625$

So, we have:

$x + 10\sqrt x = 1000$

$625 + 10 *\sqrt{625}$

Take the square root of 625

$625 + 10 *\sqrt{625} = 625 + 10 *25$

$625 + 10 *\sqrt{625} = 625 + 250$

$625 + 10 *\sqrt{625} = 875$

Let

$x = 729$

So, we have:

$x + 10\sqrt x = 1000$

$729 + 10 * \sqrt{729}$

Take the square root of 729

$729 + 10 * \sqrt{729} = 729 + 10 * 27$

$729 + 10 * \sqrt{729} = 729 + 270$

$729 + 10 * \sqrt{729} = 999$

At this point, we can conclude that x is approximately 729 because

$999 \approx 1000$

So:

$x \approx 729$

5 0

3 years ago