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
vekshin1
3 years ago
14

How do I solve for x?

Mathematics
1 answer:
notka56 [123]3 years ago
7 0
Solving:
\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
Make the Least Common Multiple (2,3,6)
2,3,6\:|2
1,3,3\:|3
1,1,1\:|\underline{2*3=6}


<span>Replace denominators and resolve:
</span>\frac{3+4x}{2} + \frac{5-x}{3} = \frac{29}{6}
\frac{3(3+4x)}{6} + \frac{2(5-x)}{6} = \frac{29}{6}
Cancel the dominators
\frac{3(3+4x)}{\diagup\!\!\!\!6} + \frac{2(5-x)}{\diagup\!\!\!\!6} = \frac{29}{\diagup\!\!\!\!6}
3(3+4x) + 2(5-x) = 29
9 + 12x + 10 - 2x = 29
12x - 2x = 29 - 9 - 10
10x = 20 - 10
10x = 10
x =  \frac{10}{10}
\boxed{\boxed{x = 1}}\end{array}}\qquad\quad\checkmark


You might be interested in
Use a table to write a funtion
Lady bird [3.3K]
I see no table sorry
8 0
3 years ago
Choose the graphic representation of the quadratic function f(x) = x2 – 8x + 24.
larisa86 [58]

Refer the attached figure for the graphic representation of the given quadratic equation.

<u>Step-by-step explanation:</u>

Given expression:

    f(x)=x^{2}-8 x+24

To find:

  The graphic representation of the given quadratic function

For solution, plot the graph to the given quadratic equation.

The standard form of the equation is

  y=a x^{2}+b x+c

When comparing with given quadratic equation,

a = 1, b = - 8, c = 24

Axis of symmetry is x=\frac{-b}{2 a}

By applying the values, the axis of symmetry of given equation is

     x=\frac{-(-8)}{2(1)}=4

The vertex form of quadratic equation is f(x)=a(x-h)^{2}+k

Where, (h,k) are the vertex.

Convert the quadratic equation into vertex form.

By completing the square,

f(x)=x^{2}-8 x+24

f(x)=\left(x^{2}-2(4) x+4^{2}\right)-4^{2}+24

f(x)=(x-4)^{2}+8

On comparison,

(h , k) = (4 , 8)

Now, plot the equation with vertex (4,8) [refer attached figure].

4 0
3 years ago
How do u do stat edit​
Svetlanka [38]

Answer:

The stat command has two options that allows you to customize the output according to your needs: -c, (--format="format") and --printf="format". The difference between these two options is that when two or more files are used as operants --format automatically adds a newline after each operand’s output.

Step-by-step explanation:

There you go!!!

6 0
3 years ago
Read 2 more answers
Rachel withdraws ​$18 from the bank account once each day for six days. What integer represents the change in the amount in the​
Margarita [4]

Answer:

-108

108

Step-by-step explanation:

Since it is withdrawing, we are taking away -$18 every day for 6 days.

(-18)*6 = -108

Since it is deposits, we are adding to the amount in her account, +$18 for 6 days.

18*6 = 108

The difference is that one is taking away and one is adding each day, resulting in negative or positive change.

4 0
3 years ago
ABCD is a rectangle, where A (1, 2), B (6, 0), C (10,10) and D (x, y) is unknown. Find the coordinates of the fourth vertex Poin
Korolek [52]

Answer:

So find the what?

Step-by-step explanation:

6 0
2 years ago
Other questions:
  • Write in standard form the equation of the parabola that contains the points (0, 0), (−1, −5), and (2, −2).
    7·1 answer
  • NEED help with homework
    11·1 answer
  • You are at an pear picking farm and they allow you to pick up to 50 pears a day. Today, you have already picked 14 pears. Which
    5·1 answer
  • Ray Cupple bought a basic car costing $26,500.00, with options costing $725.00. There is a 6% sales tax in his state and a combi
    8·2 answers
  • What is the most hard subject in math
    7·1 answer
  • I need help on my algebra 1 homework ! If anyone could help it would be greatly appreciated.
    6·1 answer
  • Find the value of the expression 8x^3 if x= -2
    12·2 answers
  • Answerr to –m+8–9m+–8m+–10m
    15·2 answers
  • PLEASE HELP ME 20 POINTS PLEASE
    6·2 answers
  • Which of the following describes the domain of y= tan x, where n is any
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!