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
Find the rate of change of the area of a square with respect
Romashka [77]
Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2

Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.

When z = 4, the rate is 4.
4 0
3 years ago
The zeros of the function f(x)=(x+2)^2 - 25 are?
zloy xaker [14]
<u>Zeros of the function</u>
f(x) = (x + 2)² - 25
f(x) = (x + 2)(x + 2) - 25
f(x) = x(x + 2) + 2(x + 2) - 25
f(x) = x(x) + x(2) + 2(x) + 2(2) - 25
f(x) = x² + 2x + 2x + 4 - 25
f(x) = x² + 4x + 4 - 25
f(x) = x² + 4x - 21
x² + 4x - 21 = 0
x = <u>-(4) +/- √((4)² - 4(1)(-21))</u>
                      2(1)
x = <u>-4 +/- √(16 + 84)</u>
                   2
x = <u>-4 +/- √(100)
</u>               2<u>
</u>x = <u>-4 +/- 10
</u>            2<u>
</u>x = -2 <u>+</u> 5<u>
</u>x = -2 + 5    x = -2 - 5
x = 3           x = -7
f(x) = x² + 4x - 21
f(3) = (3)² + 4(3) - 21
f(3) = 9 + 12 - 21
f(3) = 21 - 21
f(3) = 0
(x, f(x)) = (3, 0)
or
f(x) = x² + 4x - 21
f(-7) = (-7)² + 4(-7) - 21
f(-7) = 49 - 28 - 21
f(-7) = 21 - 21
f(-7) = 0
(x, f(x)) = (-7, 0)

<u>Vertex</u>
<u>X - Intercept</u>
<u />-b/2a = -(4)/2(1) = -4/2 = -2

<u>Y - Intercept</u>
y = x² + 4x - 21
y = (-2)² + 4(-2) - 21
y = 4 - 8 - 21
y = -4 - 21
y = -25
(x, y) = (-2, -25)
<u />
5 0
3 years ago
Read 2 more answers
Aubrey says that the product of 104 and 10–2 is 10–8. Is she correct? If not, explain why. Yes, she is correct. No, the exponent
Sindrei [870]

Answer:

The answer is c.

Step-by-step explanation:

I took the quiz

Vote me brainliest plz!!!

6 0
3 years ago
Read 2 more answers
PLZ HELP ASAP. (25 points)
Otrada [13]
Stretched vertically three times because you take the result of x^2+4x+4 aka (x+2)^2 and then multiply it by 3 for 3 times the output
7 0
3 years ago
Use what you have learned to solve the following polynomial equation by either completing the square or using the quadratic form
USPshnik [31]
<span>(x^2-4x-6) factors into:</span>
(x -5.1623)     (x+1.1623)
Therefore x = 5.1623 and      x = -1.1623

(4x^2-8x-2) <span>factors into:
(x -2.2247)  *  (x +2.2474)
</span>
Therefore x = 2.2247   and x=  -0.22474


7 0
3 years ago
Other questions:
  • Answer fastttt pleaseeee
    14·1 answer
  • 3. Find two possible lengths for CD if C, D, and E
    13·1 answer
  • HEY CAN ANYONE PLS ANSWER MY MATH QUESTION!!!!1
    15·2 answers
  • What is the value of x?​
    13·1 answer
  • On a shelf there are 60 novels and 20 poetry books. What is the probability that person A chooses a novel and walks away with it
    7·1 answer
  • Jamal drew the function below. Which explains whether or not his function is linear?
    14·2 answers
  • Rectangular cards 2 inches by 3 Inches are cut from a rectangular sheet 2 ft by 3 ft what is the greatest number of cards that c
    5·1 answer
  • Tory is solving the equation shown correctly in her notebook, but the paper gets smudged, and she cannot read the last few lines
    15·1 answer
  • Answer both and brainliest you will get
    10·2 answers
  • Find the sum of 6x^2+10x-16x 2 +10x−1 and -5x^2-2x+1−5x^2 −2x+1.
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!