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deff fn [24]
3 years ago
7

??????????????????????

Mathematics
1 answer:
Leviafan [203]3 years ago
6 0
√(x + 9) - 4 = 1
√(x + 9) - 4 (+4) = 1 (+4)
√(x + 9)(²) = 5(²)
x + 9(-9) = 25(-9)
x = 16

hope this helps

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The area of a rectangler swiming pool is 240 sq ft .
Anarel [89]
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5 0
3 years ago
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A certain type of bacteria doubles in population every 6 hours. There were approximately 100 bacteria at the beginning of the da
Zepler [3.9K]

Answer:

1600 after 24 hours

Step-by-step explanation:

100+100 = 200 after 6 hours

200+200 = 400 after 12 hours

400+400 = 800 after 18 hours

800+800 = 1600 after 24 hours

5 0
2 years ago
5x3 + 14x2 + 9x <br> help
Cerrena [4.2K]
<h3>Answer:    x(x+1)(5x+9) </h3>

===================================================

Work Shown:

5x^3 + 14x^2 + 9x

x( 5x^2 + 14x + 9 )

To factor 5x^2 + 14x + 9, we could use the AC method and guess and check our way to getting the correct result.

A better way in my opinion is to solve 5x^2 + 14x + 9 = 0 through the quadratic formula

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(14)\pm\sqrt{(14)^2-4(5)(9)}}{2(5)}\\\\x = \frac{-14\pm\sqrt{16}}{10}\\\\x = \frac{-14\pm4}{10}\\\\x = \frac{-14+4}{10} \ \text{ or } \ x = \frac{-14-4}{10}\\\\x = \frac{-10}{10} \ \text{ or } \ x = \frac{-18}{10}\\\\x = -1 \ \text{ or } \ x = \frac{-9}{5}\\\\

Then use those two solutions to find the factorization

x = -1  or  x = -9/5

x+1 = 0  or  5x = -9

x+1 = 0  or  5x+9 = 0

(x+1)(5x+9) = 0

So we have shown that 5x^2 + 14x + 9 factors to (x+1)(5x+9)

-----------

Overall,

5x^3 + 14x^2 + 9x

factors to

x(x+1)(5x+9)

6 0
3 years ago
3/7 of 8th graders play sports. is 3/5 of the 8th graders that play sports are boys, what fraction of the 8th graders are boys
Svetach [21]

Answer:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

Step-by-step explanation:

Let total number of 8th graders = x

Given that, \frac{3}{7} of 8th graders play sports

\Rightarrow 8th graders who play sports = \frac{3}{7} \times x

Also, Given that, \frac{3}{5} of 8th graders that play sports are boys

Number of 8th graders that play sports, and are boys = \frac{3}{5} \times \text{Number of 8th graders who play sports}

\Rightarrow \dfrac{3}{5} \times \dfrac{3}{7} \times x\\\Rightarrow \dfrac{9}{35} \times x

Hence, the answer is:

\dfrac{9}{35} is the fraction of 8th graders who are boys.

6 0
2 years ago
Write the equation of the line passing through points ( -2,-5) and (1,1)
Dennis_Churaev [7]

Answer:

The equation of the line is:

y=2x-1

Step-by-step explanation:

Given the points

  • (-2, -5)
  • (1, 1)

Finding the slope between the points

\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}

\left(x_1,\:y_1\right)=\left(-2,\:-5\right),\:\left(x_2,\:y_2\right)=\left(1,\:1\right)

m=\frac{1-\left(-5\right)}{1-\left(-2\right)}

m=2

We know the slope-intercept form of the line equation

y=mx+b

where m is the slope and b is the slope-intercept form

substituting the value m=2 and the point (-2, -5) to find the b-intercept

y=mx+b

-5 = 2(-2) + b

b = -5+4

b = -1

Now, substituting m=2 and b=-1 in the slope-intercept form to get the equation of a line

y=mx+b

y=2x+(-1)

y=2x-1

Thus, the equation of the line is:

y=2x-1

8 0
2 years ago
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