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
skelet666 [1.2K]
2 years ago
7

An equation is shown below: 6(2x-11)+15=21

Mathematics
2 answers:
mars1129 [50]2 years ago
8 0

Hello!

To solve, we want to isolate the x on one side of the equation. We can use inverse operations to put numbers on the other side to find x.

First we undistribute our parentheses.

12x-66+15=21

We subtract 15 from both sides (it cancels out the 15 on the left side, making it 0).

12x-66=6

Now we add 66 to both sides, as -66+66=0

12x=72

Finally, we divide both sides by 12.

x=6

I hope this helps!

balandron [24]2 years ago
3 0

To solve any algebraic equation, we need to get x by itself. The first step to doing that is doing the multiplication (since we can't simplify the parenthesis any further, and because there are no exponents).

Simplifying the parenthesis gives us:

12x - 66 + 15 = 21

Now we want to get all terms with x on one side and all the numbers on the other.

12x = 21 + 66 - 15

12x = 72

Now we want to get x by itself (meaning that we want to get a <em>single</em> x). We can do that by dividing both sides by the number in front of x.

12/12x = 72/12

x = 6

You might be interested in
Plz I need some help with 11-12 . My teacher didn’t even explain it correctly so now I’m confused.
rusak2 [61]

Answer:

Step 1: Transpose everything to one side

12. x²+16x+15-10x+4=0

Step 2: Add the like terms

x² + (16x - 10x) + 15 + 4=0

x² + 6x + 19=0

Step 3: Use the quadratic formula to get the value(s) of x.

a=1 b=6 c=19

x =  \frac{ - b +  -  \sqrt{b {}^{2} - 4ac }  {}^{} }{2a}

therefore, x=... or x

6 0
2 years ago
The graph shows the best-fit regression model for a set of data comparing the number of hours spent hiking and the number of mil
Naddik [55]

Answer:

C

Step-by-step explanation:

Edgen

3 0
2 years ago
Read 2 more answers
Square of a standard normal: Warmup 1.0 point possible (graded, results hidden) What is the mean ????[????2] and variance ??????
LenaWriter [7]

Answer:

E[X^2]= \frac{2!}{2^1 1!}= 1

Var(X^2)= 3-(1)^2 =2

Step-by-step explanation:

For this case we can use the moment generating function for the normal model given by:

\phi(t) = E[e^{tX}]

And this function is very useful when the distribution analyzed have exponentials and we can write the generating moment function can be write like this:

\phi(t) = C \int_{R} e^{tx} e^{-\frac{x^2}{2}} dx = C \int_R e^{-\frac{x^2}{2} +tx} dx = e^{\frac{t^2}{2}} C \int_R e^{-\frac{(x-t)^2}{2}}dx

And we have that the moment generating function can be write like this:

\phi(t) = e^{\frac{t^2}{2}

And we can write this as an infinite series like this:

\phi(t)= 1 +(\frac{t^2}{2})+\frac{1}{2} (\frac{t^2}{2})^2 +....+\frac{1}{k!}(\frac{t^2}{2})^k+ ...

And since this series converges absolutely for all the possible values of tX as converges the series e^2, we can use this to write this expression:

E[e^{tX}]= E[1+ tX +\frac{1}{2} (tX)^2 +....+\frac{1}{n!}(tX)^n +....]

E[e^{tX}]= 1+ E[X]t +\frac{1}{2}E[X^2]t^2 +....+\frac{1}{n1}E[X^n] t^n+...

and we can use the property that the convergent power series can be equal only if they are equal term by term and then we have:

\frac{1}{(2k)!} E[X^{2k}] t^{2k}=\frac{1}{k!} (\frac{t^2}{2})^k =\frac{1}{2^k k!} t^{2k}

And then we have this:

E[X^{2k}]=\frac{(2k)!}{2^k k!}, k=0,1,2,...

And then we can find the E[X^2]

E[X^2]= \frac{2!}{2^1 1!}= 1

And we can find the variance like this :

Var(X^2) = E[X^4]-[E(X^2)]^2

And first we find:

E[X^4]= \frac{4!}{2^2 2!}= 3

And then the variance is given by:

Var(X^2)= 3-(1)^2 =2

7 0
3 years ago
Compare the box plots for two data sets.
earnstyle [38]

Answer: The median for set a is greater

Step-by-step explanation:

8 0
3 years ago
ABC has been translated 5 units to the right, as shown in the diagram. What is the length of ?
BARSIC [14]

Answer:

(A) 15 centimeters

Step-by-step explanation:

A midsegment of a triangle is always 2 things:

Half the size of the bottom of the triangle (in this case AC)

Parallel to the bottom of the triangle.

Since ABC is an equilateral triangle, we know that EVERY side is 30cm, including AC.

So the midsegment of ABC, LM, must be 15 cm.

Hope this helped!

6 0
3 years ago
Other questions:
  • Write an equation from for the amount of money that will be collected if boxes of chocolate bars are sold. Which is the independ
    7·1 answer
  • Which expressions are equivalent to 4(4x + 2y + x − y)?
    15·1 answer
  • Select the correct answer.
    15·1 answer
  • One of Euclid's postulates has always seemed to be too complex, and Euclid himself thought it should be proved as a theorem--but
    8·1 answer
  • If (-10,8) is a point on the terminal side f a angle 0 in standard position what is the value of tan0?
    9·1 answer
  • ?? ---&gt;<br><br>35 - 14 ÷ 2 + 8 to the 2nd power​
    10·1 answer
  • 2. The line that passes through the points (-6, p)
    6·1 answer
  • B) What should be added to –ab + bc + ca to get ab – bc - ca?​
    15·1 answer
  • If mZFBC = (10x – 9), mZCBE = (4x + 15),<br> find mZFBE.
    8·2 answers
  • Use a graphing utility to graph the function and visually estimate the limits.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!