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Mariulka [41]
4 years ago
8

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

Mathematics
1 answer:
Zanzabum4 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}

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VashaNatasha [74]

Answer:

The missing value is y=6

Step-by-step explanation:

The given equation is:

y = 2 - 4x

The table that represent this equation is:

x | y

-2 | 10

-1 | _

0 | 2

1 | -2

2 | -6

To find the missing value for x=-1, we substitute in the equation:

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We now multiply to obtain:

y = 2 + 4

We then simplify to get:

y = 6

The miss value is y=6

5 0
3 years ago
Read 2 more answers
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Alexeev081 [22]
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6 0
3 years ago
Maria walked 3 km west and 4km south. How far is she from starting point
hjlf

Answer:

if you draw her track and connect her starting and ending points, you have a right triangle, with 3 and 4 being the legs. According to the pythagorean theorem. 3^2+4^2=x^2 when x is her distance from starting point. so x^2=25 and x=5. Her distance is 5

Step-by-step explanation:

8 0
4 years ago
Ron made 3 pitchers of lemonade sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade.
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Answer:

Step-by-step explanation:

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3 0
3 years ago
Nick has $40 and spends $1.50 each day. Bob has only $9 but he gets a daily allowance from which he saves $1.50 each day. In how
frutty [35]
Nick.
40 - 1.50
38.5 - 1.50
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= 24. 10 days.
24 - 1.50
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Bob:
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13.50 + 1.50
15 + 1.50
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Same amount of money: 24. After 10 days.
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Bob will have more money then Nick in 11 days. He'll have 27 dollars when Nick has 22.5 dollars.

6 0
3 years ago
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