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irga5000 [103]
3 years ago
6

What is -3+4|8n+10|=53?

Mathematics
1 answer:
Sloan [31]3 years ago
5 0
Add three to both sides: 4|8n+10|=56
divide by 4: |8n+10|=14
so 8n+10 could be 14 or -14
if it's 14, n=0.5
if it's -14, n=-3.5
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Find the retail sale price if the original price is $65 discount by 12%
Mama L [17]

Discount by 12%:

$65 x 0.12 = $7.8

Retail price after discount:

so $65 - $7.8 = $57.20

Answer

$57.20

3 0
4 years ago
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An eagle changes it’s elevation by an average of -14.2 meters every second for 4.8 seconds. What is the change in elevation of t
evablogger [386]

Answer:

Step-by-step explanation:

Let us assume that the eagle's elevation is 100 meters above.

We can multiply -14.2 by 0.8.

We now get -11.36.

We can add this to (-14.2*4).

We now get -11.36 + -56.8.

We can add those together to get the answer.

-11.36 + -56.8 = -68.16.

Then we can add that to 100 (since it is negative).

100 + (-68.16) = 31.84.

The eagle's elevation would be 31.84 meters if its starting position was 100 meters, meaning that the equation would be (a - 68.16).

4 0
3 years ago
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If the square of a number is added to 8 times the number, the result is 100.​
klasskru [66]

\huge \boxed{\mathbb{QUESTION} \downarrow}

  • If the square of a number is added to 8 times the number, the result is 100. Find x.

\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}

Let's take the number as 'x'.

  • Square of x = x²
  • 8 times x = 8x

We are given that, 8x + x² = 100

Now, let's solve for x.

__________________

8 x + x ^ { 2 } = 100

Quadratic equations such as this one can be solved by completing the square. In order to complete the square, the equation must first be in the form x²+bx=c.

x^{2}+8x=100

Divide 8, the coefficient of the x term, by 2 to get 4. Then add the square of 4 to both sides of the equation. This step makes the left-hand side of the equation a perfect square.

x^{2}+8x+4^{2}=100+4^{2}

Square 4.

x^{2}+8x+16=100+16

Add 100 to 16.

x^{2}+8x+16=116

Factor x²+8x+16. In general, when x²+bx+c is a perfect square, it can always be factored as \left(x+\frac{b}{2}\right)^{2}.

\left(x+4\right)^{2}=116

Take the square root of both sides of the equation.

\sqrt{\left(x+4\right)^{2}}=\sqrt{116}

Simplify.

x+4=2\sqrt{29}  \\ x+4=-2\sqrt{29}

Subtract 4 from both sides of the equation.

\huge \boxed{ \boxed{ \bf \: x=2\sqrt{29}-4 }}\\ \huge  \boxed{\boxed{  \bf \:  x=-2\sqrt{29}-4 }}

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5 0
3 years ago
What is 6 to the power of 4 times 6 to the power of 4 as a single power
Leto [7]

Good morning

Answer:

<h2>6⁸</h2>

Step-by-step explanation:

<em><u>in this case we have at least two ways to do the calculation:</u></em>

<u><em>method 1:</em></u>______________________

> here we use the rule aⁿ×aⁿ = (aⁿ)²

6^4*6^4 = (6^4)^2 = 6^{4*2}=6^8

<u><em>method 2:</em></u>______________________

> here we use the rule aⁿ×aⁿ =  (a×a)ⁿ

6^4*6^4 = (6*6)^4 = 36^{4}

Hope this helps.

:)

8 0
3 years ago
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stich3 [128]

Answer:

Option D.

Step-by-step explanation:

The given statement is

|x-4|

x-4 is difference between x and 4.

|x-4| distance from x because distance can not be negative.

Inequality sign "<" means less than.

|x-4| represent all values of x whose distance from 4 is less than 0.5.

Therefore, the correct option is D.

8 0
3 years ago
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