Which graph represents x> 5?

Can someone please help me with these math problems ASAP?!<br> Thanks in advance! ;)

Mamont248 [21]

Answer:

11) Here given Function,

$f(x) = \sqrt{2x-11}$

And, $g(x) = -|0.1|x+5$

For f(x) = g(x)

$\sqrt{2x-11}=-|0.1|x+5$

$2x-11=(-|0.1|x+5)^2$

$2x-11=0.01x^2 - 10|0.1|x+25$

$2x=0.01x^2 - 10|0.1|x+25+11$

$2x=0.01x^2 - 10|0.1|x+36$

$0.01x^2 - 10|0.1|x - 2x+36=0$

When we solve this equation,

We found,

x = 12.5227 ≈ 12.53

Thus, the required solution is, x = 12.53

12) Here the height of rocket A in x second,

$f(x) = -16x^2+74x+9$

And, The height gain by the rocket B in x seconds,

$g(x) = -16x^2+82x$

If at x seconds both A and B gain the same height,

That is, f(x) = g(x)

⇒ $-16x^2+74x+9= -16x^2+82x$

⇒ $74x + 9 = 82x$

⇒ $82x - 74x = 9$

⇒ $8x = 9$

⇒ x = 1.125 ≈ 1.13

Thus, the required solution is x = 1.13 seconds (approx)

4 0

2 years ago

Solve:<br> n/2 - 10=6<br> show your work please

olganol [36]

Answer:

n=36

Step-by-step explanation:

36 divided by 2 is 16 then subtract 10 and you will get 6 hope this helps

4 0

2 years ago

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A square ceiling has a diagonal of 23 ft. Shelton wants to put molding around the perimeter of the ceiling. The molding is sold

Hatshy [7]

Answer:

Minimum 66 feet of molding that he needs.

Step-by-step explanation:

Given that a square ceiling has a diagonal of 23 ft.

If the sides of the square ceiling are 'a' feet, then applying Pythagoras Theorem we can write, a² + a² = 23²

⇒ 2a² = 23²

⇒ a = 16.2634 feet (Approximate)

Now, the perimeter of the square ceiling will be 4a = 65.05 feet.

If the cost of molding along the perimeter of the ceiling is in per foot, then a minimum of 66 feet of molding that he needs. (Answer)

6 0

2 years ago

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Please help and provide work for help!!

Stella [2.4K]

Answer:

Step-by-step explanation:

1)

Tri. prism:

B = base = 1/2 a c

base = 1/2 * 6 * 6 = 18

volume = Bh

v = 18*4

v = 72

Rec. prism

volume = 4*6*6

v = 144

total volume = 144+72

vt = 212

2)

top rec. = 2*3*5=30

bot rec. = 4*5*6=120

vt = 30 + 120

vt = 150

7 0

2 years ago

Edgar accumulated $11,000 in credit card debt. If the interest rate is 30% per year and he does not make any payments for 3 year

Gennadij [26K]

Answer:

= 1.38778e-141 which makes interest a large amount 139 million and 108 hundred thousand and fourhundred and four.

Step-by-step explanation:

The equation is A= P 1+ r/n ^nt

So we input for A = (11000) x 1.30/11000 ^ 36 x 3

= 1.38778e-141 which makes interest a large amount 139 million and 108 hundred thousand and fourhundred and four.

The formula used in the compound interest calculator is A = P(1+r/n)(nt)

A = the future value of the investment

P = the principal investment amount

r = the interest rate (decimal)

n = the number of times that interest is compounded per period

t = the number of periods the money is invested for

Year Year Deposits Year Interest Total Deposits Total Interest Balance

1 $0.00 $245,278.94 $11,000.00 $245,278.94 - $256,278.94

2 $0.00 $5,714,529.54 $11,000.00 $5,959,808.47 - $5,970,808.47

3 $0.00 $133,137,595.61 $11,000.00 $139,097,404.08-$139,108,404.08

8 0

2 years ago

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