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g100num [7]
3 years ago
15

Which equation represents the graph?

Mathematics
1 answer:
klio [65]3 years ago
6 0
The second option.

That is because
y -3 = - \frac{1}{2}(x + 1) \\ (y -3)+3 = (- \frac{1}{2} x - \frac{1}{2}) + 3 \\ y = - \frac{1}{2}x + 2 \frac{1}{2}
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Complete the table of values for the function f(x) = (1/3)x for a, b, and c. x : -2, -1, 0, 1, 2. f(x) : a, b, c, 1/3, 1/9
balu736 [363]

Given:

The function is

f(x)=\left(\dfrac{1}{3}\right)^x

To find:

The missing values for a, b, and c in the given table.

Solution:

We have,

f(x)=\left(\dfrac{1}{3}\right)^x

At x=-2,

f(-2)=\left(\dfrac{1}{3}\right)^{-2}

a=\left(3\right)^{2}         \left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]

a=9

At x=-1,

f(-1)=\left(\dfrac{1}{3}\right)^{-1}

b=\left(3\right)^{1}         \left[\because \left(\dfrac{a}{b}\right)^{-n}=\left(\dfrac{b}{a}\right)^{n}\right]

b=3

At x=0,

f(0)=\left(\dfrac{1}{3}\right)^{0}

c=1         \left[\because a^0=1, a\neq 0\right]

Therefore, the missing values of a,b and c are 9, 3, and 1 respectively.

8 0
2 years ago
Read 2 more answers
18 is the geometric mean between 4 and 9. true or false
tia_tia [17]

4/x = x/9

36 = x²

6 = x

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Answer: False

8 0
3 years ago
Tasha says that the expression 6.8w-4.7 can be simplified as 2.1w. Her teacher explains that this is not correct. What mistake d
tatuchka [14]

Answer: She combined unlike terms.

Step-by-step explanation:

You can only combine like terms. If a number has a variable, you must make sure that the number you're operating it with has the same variable raised to the same power (if applicable)

6.8w-4.7 is in its simplest form.

To be able to subtract these, 4.7 must have a ''w'' variable as follows;

6.8w-4.7w=2.1w

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2 years ago
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viva [34]

Step-by-step explanation:

<TOS=122° [being vertically opposite angle]

3 0
3 years ago
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20% of 150 is what number?
tensa zangetsu [6.8K]
Answer=30

20%=20/100=0.2

150*.20=30
4 0
3 years ago
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