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
Vlad1618 [11]
3 years ago
6

Which is the number, which when squared and added to 12 becomes seven times its value ?

Mathematics
2 answers:
Alecsey [184]3 years ago
8 0
x^2+12=7x\\
x^2-7x+12=0\\
x^2-3x-4x+12=0\\
x(x-3)-4(x-3)=0\\
(x-4)(x-3)=0\\
x=4 \vee x=3
Sever21 [200]3 years ago
4 0
<span>x^{2}+12=7*x, where x is unknown numer

Now we are moving 7*x on left side to obtain quadratic equation:

x^{2}+12-7*x=0

Our goal is to find two roots of this equation.

First we are finding delta:

\Delta =b^{2}-4*a*c

\Delta =(-7)^{2}-4*1*12=1

First root:

x_{1}=\frac{-b+\sqrt{\Delta}}{2*a}

x_{1}=\frac{7+\sqrt{1 }}{2}=4

Second root:

x_{2}=\frac{-b-\sqrt{\Delta}}{2*a}

x_{2}=\frac{7-\sqrt{1 }}{2}=3</span>
You might be interested in
If A=B prove AUB=AnB
expeople1 [14]
If two sets are same let a and bthen we can say a= b
according to definition of intersection it is function that contains common enements from both setsas a=b so all elemnts are commonso a= a n bor b = a n b
in union the function has all elements of both sets and in set no element repeats so 
a u b = aor a u b = b
as a u b  = a or b and a n b = a or b so we can conclude here that
a u b = a n b as a = b // defined above
6 0
3 years ago
Noah started with a number, x. He took the difference of four times the number and three and cubed the result. Write the express
Oksi-84 [34.3K]

Answer:

The expression representing Noah’s new number is (4x-3)^3.

Step-by-step explanation:

Noah started with a number, x.

Four times the number x is 4x

The difference of four times the number and three is 4x - 3

The difference of four times the number and three cubed is (4x-3)^3

Thus, the expression representing Noah’s new number is (4x-3)^3.

4 0
3 years ago
An image of a book shown on a website is 3 inches wide and 4.5 inches tall on a computer monitor. The actual book is 9 inches wi
Drupady [299]

Answer:

It Depends

Step-by-step explanation:

If the image is the scale, the answer is 1/3, since its width of 3 is 1/3 the width of the actual book.

If the book is the scale, the answer is 3, since its width of 9 is 3 times the width of the image.

8 0
3 years ago
at a carnival, a clown has 165 red balloons. He has 198 fewer red balloons than yellow balloons. How many yellow balloons does t
Mama L [17]

Answer:

The clown has 363 yellow balloons

Step-by-step explanation:

The clown has 165 red balloons.

Let us say the clown has x yellow balloons

The question tells us that this value is 198 balloons less than the yellow ones.

This means that if we add 198 to the number of red balloons we should get x - the number of yellow ones.

x = 165 +198 = 363 balloons

Therefore, the clown has 363 yellow balloons

4 0
3 years ago
Use the Law of Sines to write an expression that represents the angle measure x.
Luden [163]

Check the picture below.

7 0
3 years ago
Other questions:
  • X^2+X=56<br> Help please!!!!
    12·1 answer
  • Mackenzie has enough paint to paint 108 square feet she wants to pay her garage door which has the height of 12 feet the garage
    8·2 answers
  • Solve the system of linear equations by adding or subtracting. Show all work!
    14·1 answer
  • The function f(h)=m(1/2)^h gives the mass, m, of a radioactive substance remaining after h half-lives. Cobalt-60 has a half-life
    5·2 answers
  • 6 × 4 grid is divided into unit squares, Find the number of squares, of any size, in the grid.
    13·1 answer
  • Plz help me hurry plz<br> Direct variation
    7·1 answer
  • HELP! please answer the question correctly :)
    15·2 answers
  • Solve please, Thanks.
    12·2 answers
  • Another one <br>Topic: Law of Indices<br>Evaluate this;<br><br>(13⁰÷5)²​
    14·1 answer
  • Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!