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Serga [27]
3 years ago
7

Find the number to add to x^2-18x

Mathematics
1 answer:
pentagon [3]3 years ago
4 0

Answer:

A. add 81; (x-9)^2

Step-by-step explanation:

The perfect square formula

(a-b)^2=a^2-2ab+b^2

Rewrite expression x^2-18x as follows:

x^2-2\cdot 9\cdot x

So, to form a perfect square, +9^2 is missed.

When we add 9^2=81, we will get

x^2-2\cdot 9\cdot x+9^2=(x-9)^2

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What is C=24x+80 R=44x breakeven point
MA_775_DIABLO [31]
For this case we have the following equations:
 C = 24x + 80

 R = 44x
 The break even point occur when C = R:
 We have then:
 24x + 80 = 44x

 Clearing x we have:
 44x - 24x = 80

 20x = 80

 x = 80/20

 x = 4
 Then, substituting in any of the equations we have:
 C = 24 (4) +80

 C = 96 + 80

 C = 176
 The break even point is:
 (4, 176)
 Answer:
 
The break even point is:
 
(4, 176)
3 0
4 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!
IceJOKER [234]

Answer:

i think b

Step-by-step explanation:

(2,2). When x of the line is 2, y of the line must be 2.

(-2,-2). When x of the line is -2, y of the line must be -2.

(2,2). y=mx+b or 2=1 × 2+b, or solving for b: b=2-(1)(2). b=0.

(-2,-2). y=mx+b or -2=1 × -2+b, or solving for b: b=-2-(1)(-2). b=0.

The equation of the line that passes through the points

(2,2) and (-2,-2)

is

y=1x

b came out to be zero, so there is no "+b" term.

5 0
3 years ago
Determine the equation of the Logarithmic Regression that models the data. Then use your equation to determine the amount of sun
Naya [18.7K]

Answer:

Percentage of light that penetrates at 150 m will be 0.94%.

Step-by-step explanation:

By using logarithmic regression calculator,

Equation of the regression line will be,

y = 104.5173 - 20.6711(lnx)

Where x represents the depth of the ocean

And y will represent the penetration of light

Therefore, at the depth of 150 m, penetration of the light will be,

y = 104.5173 - 20.6711[ln(150)]

  = 104.5173 - 103.5753

  = 0.9420

  ≈ 0.94 %

Therefore, percentage of light that penetrates at 150 m will be 0.94%.

7 0
3 years ago
Which of the following is the MOST resistant to erosion?
GaryK [48]

Answer:

steel

plastic coating paints

3 0
3 years ago
Complete the equation to show how many thirds are equivalent to<br> 8/12 = ?/3
anygoal [31]

Answer:

\frac{2}{3}

Explanation:

What we need to do is to convert \frac{8}{12} into a new - but still equal - fraction, one with a denominator of 3. In order to convert a fraction, you either divide or multiply both the denominator and the numerator by the same number.

We know that the answer has to be a fraction with the denominator of 3. Take a look at the denominator of \frac{8}{12} - it's 12. Ask yourself: 12 divided by what number equals 3? That number would 4.

So, divide 8 by 4 as well and you would get 2. Therefore, the numerator would be 2 and the answer is \frac{2}{3}.

8 0
3 years ago
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