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3 years ago

“What is the minimum value of the function: x^2+24x-18? Show your work.”

Mathematics

1 answer:

aev [14]3 years ago

3 0

Answer:

-162

Step-by-step explanation:

x²+24x-18=x²+24x+12²-12²-18=(x+12)²-162

(x+12)²≥0

(x+12)²-162≥-162

⇒ the minimum value of the function is -162

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School A has 480 students and 16 classrooms. School B has 192 students and 12 classrooms.

boyakko [2]

Answer:96

Step-by-step explanation:

A; 480/16 = 30 students per classroom

B: 192/12 =16 students per classroom

we need x such that $\frac{480-x}{16} = \frac{192+x}{12}$

which means

(480-x )* 12 should be equal to (192+x) * 16

5,760 - 12x = 3,072+16x

5,760 - 3,072 = 12x + 16x

2,688 = 28x

x = 96

3 0

3 years ago

ASAP ASAP ASAP ASAP ASAP

QveST [7]

Answer: 364 m squared

Step-by-step explanation:

to find the surface area of a rectangular prism, you must do width*length + hight*length + height*width

4 0

3 years ago

What is the mean absolute deviation (MAD) of the data set?

irakobra [83]

Answer:

2+6+8+12+12=40

40 divided by 5=8

6+2+0+4+4=16

16 divided by 5=3.2

MAD=3.2

Step-by-step explanation:

3 0

2 years ago

The exact value of cos5pi/12 is:

jonny [76]

Step 1: Convert $\frac{5\pi }{12}$ , which is in radians into degrees. To convert it multiply by $\frac{180}{\pi }$

$\frac{5\pi }{12} =\frac{180}{\pi }$

900/12

Step 2: 75 degrees isn't on the unit circle but 45 degrees and 30 degrees is. Since 45 + 30 = 75 you can use the cosine of 45 and 30 to find the exact value

cos45 = $\frac{\sqrt{2} }{2}$

cos30 = $\frac{\sqrt{3} }{2}$

Step 3: Add the cos45 and cos30 to get cos5pi/12

$\frac{\sqrt{2} }{2} +\frac{\sqrt{3} }{2} = \frac{\sqrt{2}+\sqrt{3}}{2}$

Hope this helped!

4 0

3 years ago

Explain why this means that 251/2=5

8_murik_8 [283]

It’s 251 divided by 2 equals 5

7 0

2 years ago

Read 2 more answers