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Inessa [10]
3 years ago
11

Hurry 50 points for correct answer

Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0

Answer: <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

Step-by-step explanation:

The equation x=\sqrt{6x+7} can be solved by squaring both sides:

x^2 = 6x + 7\\\\x^2 - 6x - 7 = 0\\\\(x-7)(x+1) = 0

We can see that -1 and 7 are solutions, but make sure they are not extraneous by substituting them in the original equation:

1 = \sqrt{-1}\\ 7 = \sqrt{49}

The square root of 49 equals 7, but the square root of -1 is an imaginary number.

The correct choice is <em>"7 is a solution to the original equation. The value –1 is an extraneous solution."</em>

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stellarik [79]
6n/6=2/6
n=0.333333…
Or rounded to 0.3 in decimal form and 1/3 in fraction form

5 0
2 years ago
A boy is standing next to a radio. As he moves away from the radio, which would MOST LIKELY occur?
Alexxandr [17]
The last one im pretty sure
5 0
3 years ago
Read 2 more answers
What is 1323/12 in simplified form
Mice21 [21]

Answer:

441/4

Step-by-step explanation:

Find the GCD of numerator and denominator

GCD of 1323 and 12 is 3

Divide both the numerator and denominator by the GCD

1323 ÷ 3

12 ÷ 3

Reduced fraction:

441/4

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Hope this helps!

-Lexi

4 0
2 years ago
Which of the following exponential functions represents the graph below?
mario62 [17]

Answer:

the graph corresponds to function "D"  f(x)=3\,(\frac{1}{5} )^x

Step-by-step explanation:

Since the graph shown corresponds to an exponential "decay" (the function decreases as we move from left to right), the base of the exponent has to be a number smaller than 1 (one). So we examine the only two options that give such (options C and D which have fractions as the base - 1/3 and 1/5 respectively)

From there, we analyze which of the two functions satisfies the crossing of the y-axis at (0,3) which is clearly shown in the graph:

We study both:

function C at x = 0 gives:

f(x)= 5\,(\frac{1}{3})^x\\f(0)=5\,(\frac{1}{3})^0 \\f(0)=5\,(1)\\f(0)=5

while function D at x = 0 gives:

f(x)= 3\,(\frac{1}{5})^x\\f(0)=3\,(\frac{1}{5})^0 \\f(0)=3\,(1)\\f(0)=3

Therefore, the graph corresponds to function "D"

3 0
3 years ago
An account earns simple interest. $1675 at 4.6% for 4 years a. Find the interest earned. $___ b. Find the balance of the account
Colt1911 [192]
A. First, divide 1675 by 100 to find 1% of it. 
1675 / 100 = 16.75 
Then, multiply 16.75 by 4.6 to get 4.6%. 
16.75 x 4.6 = 77.05 
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Multiply it by 4 to get the interest for 4 years. 
77.05 x 4 = 308.20 
The interest earned is $308.20. 

B. Add the interest to the original balance to get the total. 
308.20 + 1675 = 1983.20 
The balance of the account is $1983.20 after 4 years. 

Hope this help!
7 0
3 years ago
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