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
Line segment TS is tangent to circle O at point N.  If the measure of QNT  is 74°, what is the measure of QPN?
Ket [755]
148         I just took the test.
8 0
3 years ago
Read 2 more answers
Georgia gives 12 cookies to her friends. If that represents 15% of the cookies in the package, what is the total number of cooki
harina [27]
12/15% = 80

80x15% = 12
7 0
3 years ago
The graph of g(x) is obtained by reflecting the graph of f(x)=2|x| over the x-axis.
Lera25 [3.4K]
Answer: Choice C) 
g(x) = -|2x|

You get this answer by simply sticking a negative out front of the original function. In other words, g(x) = -f(x) or more technically, g(x) = -1*f(x).

The negative will flip every y coordinate from positive to negative (or vice versa)

You'll also use the idea that |2x| = 2|x|. The two can be pulled out since we can say |x*y| = |x|*|y|
So |2*x| = |2|*|x| = 2|x|

4 0
3 years ago
How to write k/3 + 16 in words
fgiga [73]

Answer:

k divided by three plus sixteen

7 0
3 years ago
mr schiffer planted 9 fruit trees in his orchard. of the , 1/3 are grapefruit trees. how many trees are garapefruit trees
DENIUS [597]
If 1/3th of the trees are grapefruit trees and he planted 9 trees there is 3 grapefruit trees hoped this help
5 0
3 years ago
Read 2 more answers
Other questions:
  • a chalk line is placed around the perimeter of the football field what is the length of this line in feet
    9·1 answer
  • There are 8 pencils in a package. How many packages will be needed for 28 children if each child gets 4
    13·1 answer
  • for a data set the mean is 3.17 and the range is 1.4. the data set is transformed by adding 0.5 tp each data value. what are the
    13·1 answer
  • What is the mean, median, and mode of 3,8,13,4,9,15,7,8,5,
    6·2 answers
  • The two rectangles havr the same area work out the value of x
    7·2 answers
  • A community center is expanding the size
    15·1 answer
  • Crystal is paying the bill at a restaurant. Ignoring all taxes, the
    11·1 answer
  • Mr. Martin bought a microwave that was originally priced $225. He received a 30% discount. What is the sale price of the microwa
    10·1 answer
  • PLS HELP!!!!!!!!!!!
    14·2 answers
  • NEED HELP ASAP 40 points!! <3 (will mark brainiest) as well :))
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!