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DochEvi [55]
3 years ago
8

Determine the domain of the function showing the steps. Algebra

Mathematics
1 answer:
kherson [118]3 years ago
4 0

Answer:

[-2, 7) ∪ (7, ∞)

Step-by-step explanation:

Given function is,

f(x) = \frac{0.1\sqrt{4x+8} }{x-7}

This function is defined only when

4x + 8 \geq 0 [Since square root of a number is not defined]

4x ≥ -8

x ≥ -2

And denominator is greater than of equal to zero.

(If the denominator of a fraction is zero, fraction is not defined)

x - 7 ≥ 0

x ≥ 0

Therefore, domain of the given function will be,

[-2, 7) ∪ (7, ∞)

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Lera25 [3.4K]
From the given options we can think that x is
in the exponent of 3.
So, the given function is actually f(x) = 3^x +9
Now, we need to find the range of given
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We can see that first term is and exponential
term 3^x and second term is 9
We know that 3^x will always be greater than
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Therefore, 3^x +9 would always be greater
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3 years ago
2r + st^2 - u, if r = 4, s = 6, t = 3, and u = 12
gtnhenbr [62]

Answer:

320

Step-by-step explanation:

r = 4, so 2 x 4 = 8.

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3 years ago
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= -1.2 + 3.28d

Step-by-step explanation:

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= -1.2 + 3.28d

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2 years ago
Y=2x-8 and intercept at (-4,-1)
Mila [183]

Answer:

y=2x+7

Step-by-step explanation:

y=2x-8

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3 years ago
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ludmilkaskok [199]
Jeff bought 1.5 pounds of pork.

1 pound of pork = 3.64
0.5 pounds of pork = 1.82 (divided 3.64 by 2 to find 0.5 pounds of pork)

3.64 + 1.82 = 5.46

Jeff also bought 2.5 pounds each of beer and chicken.

1 pound of beef = 5.99
2 pounds of beef = 11.98
0.5 pounds of beef = 2.995 (5.99 divided by 2)

11.98 + 2.995 = 14.975

1 pound of chicken = 4.79
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9.58 + 2.395 = 11.975

Add up the total amount of the 1.5 pounds of pork and 2.5 pounds each of beef and chicken.

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2 years ago
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