1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sammy [17]
3 years ago
12

Simplify. Rationalize the denominator. 3/9-√2​

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

\frac{3}{9-\sqrt{2} } * \frac{9+\sqrt{2}}{9+\sqrt{2}}

\frac{27 + 3\sqrt{2} }{9^{2} - (\sqrt{2})^{2}  }

\frac{27 + 3 \sqrt{2} }{81 - 2}

\frac{27 + 3\sqrt{2} }{79}

You might be interested in
5x + 7y = -29, y = x + 1
Afina-wow [57]

Answer:d

Step-by-step explanation:

6 0
2 years ago
First one right gets BRAINLIEST!!<br><br> If f(x)=x²+2x-3 and g(x)=x²-9, find (f/g) 4 and (f+g)(4)
Rasek [7]

Answer:

3 and 28

Step-by-step explanation:

note (\frac{f}{g} )(x ) = \frac{f(x)}{g(x)}

\frac{f(x)}{g(x)}

= \frac{x^2+2x-3}{x^2-9}  and

(\frac{f}{g} )(4) = \frac{4^2+2(4)-3}{4^2-9} = \frac{16+8-3}{16-9} = \frac{21}{7} = 3

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

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² + 2x - 3 + x² - 9 = 2x² + 2x - 12 and

(f + g)(4) = 2(4)² + 2(4) - 12 = 2(16) + 8 - 12 = 32 + 8 - 12 = 28

6 0
3 years ago
HELPPGPGPPHPHGPPFPSLLSLSL
ololo11 [35]
If Carla would have bought 4 plants it would have been 13 dollars from green touch

If she would have bought them for the grocery store it would have been 14 dollars

So in conclusion she saved 1 dollar
Option 3
8 0
2 years ago
If x=-3, then the solution of the equation 2x+6 is ?
Vlada [557]

Hello!

if x = -3, just substitute it for x (replace the x with -3)

2(-3) + 6 = 0

2 * -3 = -6

-6 + 6 = 0

I hope this helps, and have a nice day!

6 0
3 years ago
Find all real zeros of number 11
tensa zangetsu [6.8K]
The answer is, x = 4,  \frac{3}{2}, -7

I'm about to basically type up a report on explaining this answer so bear with me :P

<em>Step 1.)</em> Factor 2x^{3}+  3x^{2}  +65x+84 using Polynomial Division.

Just a basic rundown of what polynomial division is. When using polynomial division for this problem we find all the factors of our constant, 84, and then see which one, when substituted for x, makes the expression equal zero. After we find our variable that makes the problem equal zero, we divide it into our original expression. Here's how it's done:

These are our factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

strating from one and plugging in these numbers, the first one we come upon that works is 4. So, now we will divide. below is a picture of what it should look like.

After we divide, we get an answer of ( 2x^{2} +11x-21)(x-4)

<em>Step 2.)</em> split ( 2x^{2} +11x-21)(x-4) into two terms

To do that we multiply the coefficient of the first term (2) by the constant (-21)
So: 2*-21=-42

Now we ask "which two numbers add up to equal 11, but multiply to equal -42". Those two numbers are 14 and -3.

Now we basically split 11x as the sum of 14 and -3. So now our problem should look like this: (2x^{2}+14x-3x-21) (x-4)
<span><span>
</span></span><em>Step 3.)</em> Factor out the common terms in the first two terms, then the last two like this:

From this: (2x^{2}+14x-3x-21) (x-4)

To this: (2x(x+7)-3(x+7))(x-4)

<em>Step 4.)</em> Factor the term (x + 7) out of the parenthesis

After we do that, we are left with our problem looking like this:

(x+7)(2x-3)(x-4)

The last thing we do is set each parenthesis equal to zero and work it out to find our zeros.

(x+7) = 0
x = -7

(2x-3) =0
x =  \frac{3}{2}

(x-4)=0
x=4

That gives us our answer of our zeros being x = 4, \frac{3}{2}, -7

Thank you for our question! I hope this helped! Have an amazing day! :D

4 0
2 years ago
Other questions:
  • A coyote can run at top speed at 44 miles per hour how far can it run in 15 minutes
    9·2 answers
  • Eileen’s cookies charges $0.40 per cookie with a delivery fee of $8. Insomnia cookies charges $1.50 per cookie with a $2.50 deli
    7·1 answer
  • Helppppppppppppppppppppppppppppppppppppp
    8·2 answers
  • Define a major arc. How do you name a major arc?
    5·2 answers
  • Find x - y subtracted from 0.<br> O-X+y<br> o-y-x<br> ox-y
    8·1 answer
  • Eight minus the quotient of two and a number x
    7·2 answers
  • an airplane has a distance of 9.2 miles from the runway when it begins to land. its landing speed is 157 mph write an question i
    12·1 answer
  • Answer part B please
    5·2 answers
  • If you add​ Natalie's age and​ Fred's age, the result is 42 . If you add​ Fred's age to 4 times​ Natalie's age, the result is 84
    12·2 answers
  • The Cowboys High School Band Boosters are selling candy bars and chips at the basketball tournament to raise money for their ban
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!