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
ser-zykov [4K]
2 years ago
14

When a number is added to six times its square, the result is twelve. Find the number.

Mathematics
2 answers:
iVinArrow [24]2 years ago
7 0
Answer: <span>x = -3/2 and 4/3</span>
7nadin3 [17]2 years ago
6 0
Let's represent our number as x.
x is being added to 6 * x², and it equals 12
x + 6x^{2}=12\\6x^{2}+x-12=0
Factor:
6x^{2}+x-12=0\\(2x+3)(3x-4)=0
Solve for x:
(2x+3)=0\\2x=-3\\x=\frac{-3}{2}\\\\(3x-4)=0\\3x=4\\x=\frac{4}{3}

Therefore, x = -3/2 and 4/3.
You might be interested in
Will mark Brainliest if someone can help me!!!!! (Idk if Prinicipal is right 2-5)
Talja [164]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$1500\\ r=rate\to r\%\to \frac{r}{100}\dotfill &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &1,2,3,4,5 \end{cases}

\bf A=1500\left(1+\frac{0.04}{1}\right)^{1\cdot 1}\implies A=1500(1.04)^1\implies A\approx 1560\\\\\\A=1500\left(1+\frac{0.04}{1}\right)^{1\cdot 2}\implies A=1500(1.04)^2\implies A\approx 1622.4\\\\\\A=1500\left(1+\frac{0.04}{1}\right)^{1\cdot 3}\implies A=1500(1.04)^3\implies A\approx 1687.3\\\\\\A=1500\left(1+\frac{0.04}{1}\right)^{1\cdot 4}\implies A=1500(1.04)^4\implies A\approx 1754.79\\\\\\A=1500\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=1500(1.04)^5\implies A\approx 1824.98

6 0
3 years ago
Original price of a printer: $250.00<br> Tax: 10%, Selling Price?
umka21 [38]

Answer:

selling price would be $275.

5 0
3 years ago
Read 2 more answers
Suppose u and v are functions of x that are differentiable at x=0 and that u(0)=3, u'(0)= -4, v(0)= 2, v'(0)= -7. Find the value
3241004551 [841]
\bf \cfrac{d}{dx}[u(x)\cdot v(x)]\implies \cfrac{du}{dx}\cdot v(x)+u(x)\cdot \cfrac{dv}{dx}\quad &#10;\begin{cases}&#10;u(0)=3\qquad u'(0)=-4&#10;\\\\&#10;v(0)=2\qquad v'(0)=-7&#10;\end{cases}&#10;\\\\&#10;\left[ \cfrac{du}{dx} \right]_{x=0}\cdot v(0)+u(0)\cdot \left[ \cfrac{dv}{dx} \right]_{x=0}

so.. hmm pretty sure you know what that is
7 0
3 years ago
Read 2 more answers
Write down the range or the interval for set of your real numbers represented on the number line​
lapo4ka [179]

Answer:

where is the picture? or number line

3 0
3 years ago
2(x−4)+3x=7 solve for x
sesenic [268]

Answer:

x = 3

Step-by-step explanation:

5x - 8 + 8 = 7 + 8

5x = 15

5x/5 = 15/5

15 divided by 5 equals 3

Hope this helped you out :)

7 0
2 years ago
Read 2 more answers
Other questions:
  • HELP ME PLEASE I NEED HELP ASAP
    11·1 answer
  • A pool in the shape of a rectangle has a perimeter of 80 ft. The pool is 8 feet wide than it is long. Find the length and width
    6·1 answer
  • Lois rode her bike to visit a friend. She traveled at 10 mi/h. While she was there, it began to rain. Her friend drove her home
    6·1 answer
  • A 25​-foot ladder is placed against a vertical wall of a​ building, with the bottom of the ladder standing on level ground 8 fee
    15·1 answer
  • WILL MARK BRAINLIEST Which expression can be used to find the value
    14·1 answer
  • The measures of two angles of a triangle are x and 4x. Which of these expressions represent the measure of the third angle?
    9·1 answer
  • 16. Twelve inches is cut from a board. The
    6·1 answer
  • What is the percent decrease from 61 to 11?
    13·2 answers
  • At the age of 6, Travis' father gave him his baseball card collection. Now, Travis collects baseball cards. He collects an avera
    9·1 answer
  • Help help help help math math
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!