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
777dan777 [17]
3 years ago
5

3 (x+4) + 7x combining like terms

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0

Answer:

10x+12

Step-by-step explanation:

we have

3(x+4)+7x

step 1

Apply distributive property

3(x+4)+7x=3(x)+3(4)+7x

3(x)+3(4)+7x=3x+12+7x

step 2

Combine like term

3x+12+7x=(3x+7x)+12

(3x+7x)+12=10x+12

You might be interested in
What do both of these functions have in common? f(x)=5e^x+5 g(x)=0.5(x-5)^2-5
kondor19780726 [428]

Answer:

They have the same vertical shift. -Apex

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po
jeka94

Answer:

Zeroes : 1, 4 and -5.

Potential roots: \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

Step-by-step explanation:

The given equation is

x^3-21x=-20

It can be written as

x^3+0x^2-21x+20=0

Splitting the middle terms, we get

x^3-x^2+x^2-x-20x+20=0

x^2(x-1)+x(x-1)-20(x-1)=0

(x-1)(x^2+x-20)=0

Splitting the middle terms, we get

(x-1)(x^2+5x-4x-20)=0

(x-1)(x(x+5)-4(x+5))=0

(x-1)(x+5)(x-4)=0

Using zero product property, we get

x-1=0\Rightarrow x=1

x-4=0\Rightarrow x=4

x+5=0\Rightarrow x=-5

Therefore, the zeroes of the equation are 1, 4 and -5.

According to rational root theorem, the potential root of the polynomial are

x=\dfrac{\text{Factor of constant}}{\text{Factor of leading coefficient}}

Constant = 20

Factors of constant ±1, ±2, ±4, ±5, ±10, ±20.

Leading coefficient= 1

Factors of leading coefficient ±1.

Therefore, the potential root of the polynomial are \pm 1, \pm 2, \pm 4, \pm 5, \pm 10, \pm 20.

3 0
4 years ago
Terri buys five and seven eighths ounces of chocolate chips. She uses four and four sixths ounces in a recipe. How many ounces o
mixas84 [53]

Answer:

Two and ten forty eighths ounces....

Hope this helps :D

3 0
3 years ago
Read 2 more answers
If i have a forest composed of 25 species of trees, each with a known abundances, how many events are there in the sample space
Vsevolod [243]
There are 25 species of trees, each with a known abundances. The question is how many possible ways to randomly select one tree there are.
We should calculate the number of combinations. Combinations, because we select item/s from a collection. In this case, when we select only one item, the combination is also a permutation. From set of n objects we select r. In our case: n=25, r=1. 
The equation is: n!/r!(n-r)!= 25!/1!*24!=25*24!/24!=25
There are 25 different outcomes (events).
3 0
3 years ago
Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.
Mama L [17]

Multiplying both sides by y^2 gives

xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1

so that substituting v=y^3 and hence \frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx} gives the linear ODE,

\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1

Now multiply both sides by 3x^2 to get

x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2

so that the left side condenses into the derivative of a product.

\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2

Integrate both sides, then solve for v, then for y:

x^3v=\displaystyle\int3x^2\,\mathrm dx

x^3v=x^3+C

v=1+\dfrac C{x^3}

y^3=1+\dfrac C{x^3}

\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}

6 0
3 years ago
Other questions:
  • Two people can swing on a trapeze at the same time as long as
    9·2 answers
  • Slove it 3x-5=x+3 :)))))))
    15·2 answers
  • Appples are on sale for 1.99 a pound sheila buys p pounds of apples for a total cost of c dollars
    7·2 answers
  • Please help!! I do not understand this!
    13·1 answer
  • State one practical use of variation related to health statistics.
    8·1 answer
  • Solve x to y i am very confused
    5·1 answer
  • What is the midpoint of the class 15-20
    9·1 answer
  • Hiii, What is a common factor of both terms in 22m - 33?
    15·1 answer
  • 2/3 to twenty-firsts
    9·1 answer
  • One-third of 250 is what number?
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!