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
Mariulka [41]
3 years ago
8

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8 ?

Mathematics
1 answer:
Zanzabum3 years ago
8 0

Answer:

\huge\boxed{f=g(x)\ \text{for}\ x=-\dfrac{16}{3}=-5\dfrac{1}{3}}

Step-by-step explanation:

When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?

f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}

You might be interested in
60 marks out of 75 full marks<br>express in percent<br><br>​
DochEvi [55]
80 percent

Explanation:
Divide 60 by 75 and get the outcome of .80
3 0
2 years ago
Read 2 more answers
molly school is selling tickets to the fall musical. on the first day of the ticket sales the school sold 13 adults tickets and
tester [92]

Answer:

Adult Ticket Price = $13

Child Ticket Price = $13

Step-by-step explanation:

Let price of adult ticket be "a" and child ticket be "c"

13 adult and 14 child equals $351, so we can write:

13a + 14c = 351

and

2 adult and 7 child equals $117, thus we can write:

2a + 7c = 117

We multiply 2nd equation by (-2) to get:

-2 * [2a + 7c = 117]

= -4a -14c = -234

Adding botht he "bold" equations, we get:

13a + 14c = 351

-4a -14c = -234

------------------------

9a = 117

a = 117/9 = 13

Now to find b, we use the value of a gotten in the first equation:

13a + 14c = 351

13(13) + 14c = 351

169 + 14c = 351

14c = 182

c = 182/14 = 13

Hence,

<em>Adult Ticket Price = $13</em>

<em>Child Ticket Price = $13</em>

3 0
3 years ago
7. The sweater cost $35, and the tax rate was 8%. How much do you have to pay in tax?
RUDIKE [14]

Answer:

so in tax you pay a extra $2.80 so the total price of the sweater is $37.80.

Mikey will save $37.25

3 0
2 years ago
5x+4y=20.14<br> 6x+7y=28.15
ohaa [14]

Answer:

x=2.2582, y=19.91/9. (2.2582, 19.91/9).

Step-by-step explanation:

5x+4y=20.14

6x+7y=28.15

-------------------

6(5x+4y)=6(20.14)

-5(6x+7y)=-5(28.15)

------------------------------

30x+24y=120.84

-30x-35y=-140.75

--------------------------

-9y=-19.91

9y=19.91

y=19.91/9

5x+4(19.91/9)=20.14

5x+79.64/9=20.14

5x=20.14-79.64/9

5x=11.291

x=11.291/5

x=2.2582

4 0
3 years ago
Can I have some help
fomenos
WUT I SEE NO PICTURE IT DIDNT LOAD LOL


3 0
3 years ago
Read 2 more answers
Other questions:
  • Which expressions are correct for the situation?
    10·2 answers
  • Can someone help me with geometry! PLEASE!
    13·1 answer
  • Enter the ratio as a fraction in lowest terms<br><br> 30 minutes to 27 minutes
    10·2 answers
  • Let F(x) = 3x + 5 and g(x) = x^2
    5·1 answer
  • What are three powers that have values greater than 500 and less than 550
    8·2 answers
  • I don't really know what to do for this one.
    13·1 answer
  • I have a stat class review and what would be the letter choice for this scatter plot?
    7·1 answer
  • 17/2 is bigger than what?​
    10·1 answer
  • X-intercepts of the graph of y = = 3x2 + 2x – 2?
    6·1 answer
  • A penguin can dive 48 meters below the surface of the water to reach a fish. It dives 2% of the total depth every 1 second.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!