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neonofarm [45]
3 years ago
12

Find the solution of 5 times the square root of the quantity of x plus 7 equals negative 10, and determine if it is an extraneou

s solution
Mathematics
2 answers:
likoan [24]3 years ago
8 0

we are given

5 times the square root of the quantity of x plus 7

so, we get

left side is

5\sqrt{x+7}

right side is -10

so, we can set them equal

5\sqrt{x+7}=-10

Since, we have to solve for x

so, we will isolate x one anyone side

and then we can solve for x

we take square both sides

(5\sqrt{x+7})^2=(-10)^2

25(x+7)=100

Divide both sides by 25

\frac{25(x+7)}{25} =\frac{100}{25}

x+7 =4

Subtract both sides by 7

x+7-7 =4-7

x =-3

Extraneous solution:

we can plug x=-3 into original

5\sqrt{-3+7}=-10

5\sqrt{4}=-10

5*2=-10

10=-10

we know that 10 is not equal to -10

so, x=-3 is not valid solution

Hence, this is extraneous solution...........Answer

Leto [7]3 years ago
6 0
The solution of the information given will be as follows:
5√(x+7)=10
dividing both sides by 5 we get:
√(x+7)=2
squaring both sides we get:
(x+7)=2²
x+7=4
solving for x we get
x=4-7
x=-3
thus the answer is x=-3
this is an extraneous solution.<span />
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4 0
2 years ago
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You have a 40% coupon, what will the price be of shoes that cost 45
Bond [772]

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20.25

Step-by-step explanation:

45x.40=20.25

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Nathaniel participated in an 18-mile race. He ran 1 2 mile in 1 6 hour. If he ran the entire race at the same pace, how long, in
Softa [21]

Answer:

24 hours

Step-by-step explanation:

set up a ratio:

12 miles = 16 hours

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Which of the following expressions are equivalent to \left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}(9 87​ +2 54​ )− 21​
lora16 [44]

Answer:

12\dfrac{7}{40}

Step-by-step explanation:

The given expression is

\left(9\dfrac{7}{8} + 2\dfrac{4}{5}\right)-\dfrac{1}{2}

We need to find the simplified form of the given expression.

It can be rewritten as

\left(9+\dfrac{7}{8} + 2+\dfrac{4}{5}\right)-\dfrac{1}{2}

Combine integers and fractions separately.

(9+2)+(\dfrac{7}{8}+\dfrac{4}{5}-\dfrac{1}{2})

Taking LCM we get

11+\dfrac{35+32-20}{40}

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11+\dfrac{40+7}{40}

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Therefore, the expression 12\dfrac{7}{40} is equivalent to the given expression.

5 0
3 years ago
What is the solution of x-1/1-x &lt; 0?
kykrilka [37]

Option C is correct option.

Step-by-step explanation:

We need to find the solution of \frac{x-1}{1-x}

The given inequality becomes undefined when x = 1 because the denomiator is: 1-x and if x = 1 then it becomes 1-1 = 0 and anything divided by zero is undefined.

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So, solution is: x<1 or x>1 but x≠1

So, Option C is correct because all numbers are included in number line except 1. An unfilled circle on 1 shows that it is not included in the solution. Rest of numbers are included.

Option C is correct option.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

  • brainly.com/question/1465430
  • brainly.com/question/6703816
  • brainly.com/question/11788572
  • brainly.com/question/4192226

#learnwithBrainly

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