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
Veronika [31]
3 years ago
13

Find the sum 12x^2+9x^2

Mathematics
1 answer:
katen-ka-za [31]3 years ago
5 0
Let's simplify step-by-step.
<span><span>12<span>x^2</span></span>+<span>9<span>x^2
</span></span></span>Combine Like Terms:
<span>=<span><span>12<span>x^2</span></span>+<span>9<span>x^2
</span></span></span></span><span>=<span>(<span><span>12<span>x^2</span></span>+<span>9<span>x^2</span></span></span>)
</span></span><span>=<span>21<span>x^<span>2</span></span></span></span>
You might be interested in
HELP!!! PLEASE!!!!
Makovka662 [10]

Answer:

  • y = 2x² - 5x + 7

Step-by-step explanation:

For this problem, imagine the standard form, which is:

f(x) = ax² + bx + c = y

Using the table, and adding that y at the end, we can plug in and write out the following equations. (<em>Writing it out is important</em>):

f(-1) = a(-1)² + b(-1) + c = 14

f(0) = a(0)² + b(0) + c = 7

f(1) = a(1)² + b(1) + c = 4

f(2) = a(2)² + b(2) + c = 5

Now if this doesn't look familiar, it's actually a <u>systems of equations</u> using the a, b, and c elements as your three variables! If you simplify the equations:

f(-1) = a - b + c = 14

f(0) = c = 7

f(1) = a + b + c = 4

f(2) = 4a + 2b + c = 5

Something unique just happened. We have already defined what ' c ' is!

<u><em>c = 7</em></u>

Setting that aside, if you remove the f(x) portion of the equations, you're left with:

a - b + c = 14

a + b + c = 4

4a + 2b + c = 5

Using the two upper equations, if we add them together (you can do that as it doesn't change the values of the variables) you get:

2a + 2c = 18

Note: the ' b ' variables cancelled out in the addition [ b +  (-b) ]

If you further simplify the equation:

a + c = 9

Awesome. Now we already know that <u>c = 7</u>, so if you plug that into the equation:

a + 7 = 9

Solve for a. So then a = 2

Now that we know the following:

a = 2

c = 7

We can then use the equation:

a + b + c = 4

And solve for b!

2 + b + 7 = 4

Simplify.

b + 9 = 4

Simplify.

b = -5

Now at this point, since you know what a, b and c are, you can write the equation!

f(x) = 2x² - 5x + 7

You can confirm your work by putting any of the x values in the table through!

4 0
3 years ago
Read 2 more answers
4x+7y=19<br>y=x+9 <br>substitution method​
Ugo [173]

Answer:

Point Form: (-4,5)

Equation Form: x=-4,y=5

Step-by-step explanation:

Please give me brainiest!!!

3 0
3 years ago
9/20
Stella [2.4K]

<u>Question:</u>

Find the number of real number solutions for the equation. x^2 + 5x + 7 = 0

<u>Answer:</u>

The number of real solutions for the equation x^{2}+5 x+7=0 is zero

<u>Solution:</u>

For a Quadratic Equation of form : a x^{2}+b x+c=0  ---- eqn 1

The solution is x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}  

Now , the given Quadratic Equation is x^{2}+5 x+7=0  ---- eqn 2

On comparing Equation (1) and Equation(2), we get

a = 1 , b = 5 and c = 7

In x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a} , b^2 - 4ac is called the discriminant of the quadratic equation

Its value determines the nature of roots

Now, here are the rules with discriminants:

1) D > 0; there are 2 real solutions in the equation

2) D = 0; there is 1 real solution in the equation

3) D < 0; there are no real solutions in the equation

Now let solve for given equation

D= b^2 - 4ac\\\\D = 5^2 - 4(1)(7)\\\\D = 25 - 28 \\\\D = -3

Since -3 is less than 0, this means that there are 0 real solutions in this equation.

4 0
3 years ago
Cara and shirley, working together, can clean the house in 66 hours. working alone, shirley takes three times as long as cara. h
iVinArrow [24]
Assuming that they both work at the same pace together 66/2=33*3=99 to get the whole house done because she takes 3 times as long and has to pick up the slack when cara is gone i think at least it sounds logical in my mind but maybe somebody thinks different but final answer
t=99 hours
7 0
3 years ago
How to find the area
WARRIOR [948]
L + W 
length plus width

example:   L = 10"  W = 20"     10 x 20 = 200
6 0
2 years ago
Other questions:
  • What are the vertex and x-intercepts of the graph of y= x2 - 4x - 21? Select
    14·1 answer
  • millie has a box of 1 hundred cubes. she also has a bag of 70 cubes. how many trains of 10 cubes can she make ?
    14·1 answer
  • PLZ HELP ME!!!!!! ASAP!!!!! I WILL GIVE BRAINLIEST!!!!!!!!!!!
    13·2 answers
  • Rewrite in simplest radical form 1/x^-3/6
    15·1 answer
  • If Tom, George and Mario work together, they can paint a 600 ft2 room in 4 hours. When only George and Mario work together, it t
    6·2 answers
  • Evaluate the variable expression when -= 6, b= 5, and c= -3
    15·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Cfrac%7B12x%7D%7B2x-3x-10%7D%20-%20%5Cfrac%7Bx%7D%7B%28x-5%29%7D" id="TexFormula1" title="\f
    11·2 answers
  • Two functions are shown below.<br> f(x)=4^x-62<br> g(x)=x^2-2x+5<br><br> evaluate g(-2)+f(3)
    6·1 answer
  • What is the slope-intercept equation for this line?
    9·2 answers
  • What formula can we use to find the surface area of a rectangular prism? ​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!