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4 years ago

8

Six friends went to a hockey game. The price of admission per person was $x. Four of the friends bought a soda for $2. Write and

simplify an expression that represents the total cost.

1 answer:

Citrus2011 [14]4 years ago

4 0

6x+4 (2). The expression simplifies to 6x+8

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How many extraneous solutions exist for the logarithmic equation below if it is solved in the most efficient way possible?log_(2

Nadusha1986 [10]

Answer:

No extraneous solution

Step-by-step explanation:

We have the logarithmic equation given by,

$\log_{2}[\log_{2}(\sqrt{4x})]=1$

i.e. $\log_{2}(\sqrt{4x})=2^{1}$

i.e. $\sqrt{4x}=2^{2}$

i.e. $\sqrt{4x}=4$

i.e. $4x=4^{2}$

i.e. $4x=16$

i.e. $x=4$

So, the solution of the given equation is x=4.

Now, as we domain of square root function is x > 0 and also, the domain of logarithmic function is $( 0,\infty )$ .

Therefore, the domain of the given function is x > 0.

We know that the extraneous solution is the solution which does not belong to the domain.

But as x=4 belongs to the domain x > 0.

Thus, x = 4 is not an extraneous solution.

Hence, this equation does not have any extraneous solution.

7 0

3 years ago

Read 2 more answers

An equation is modeled. What value of x makes the equation true? Explain.

nirvana33 [79]

Answer:

B: x=-1

Step-by-step explanation:

5x+6=1

5x+6-6=1-6

simplify

divide by 5 on both sides

x=-1

4 0

3 years ago

Help me please: answer as an improper fraction

rewona [7]

1) $\frac{7}{24}$
2) $\frac{2}{7}$
3) $\frac{1}{5}$
4) $\frac{3}{14}$
5) $\frac{1}{3}$
6) $\frac{7}{20}$
7) $\frac{6}{10}$
8) $\frac{1}{12}$
9) $\frac{1}{3}$
10) $\frac{1}{90}$
11) $\frac{1}{40}$
12) $\frac{1}{50}$
13) $\frac{20}{21}$
14) $\frac{1}{4}$
15) $\frac{5}{6}$
16) $\frac{9}{35}$
17) $\frac{35}{12}$ ( $2 \frac{11}{12}$ )
18) $\frac{9}{1}$ (9)

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3 years ago

Heidi takes 45 minutes to cover a distance of 5.4 miles on a treadmill. Find the average distance covered by Heidi in one minute

Natali5045456 [20]

Heidi goes 0.12 miles a minute

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3 years ago

Use the picture to answer. Which real number is not both a whole number and an integer? A. 423 B. 259 C. –156 D. 0

Vanyuwa [196]

C. is the answer because -159 is a rational number

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3 years ago