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brilliants [131]
3 years ago
9

Solve for x write the smaller solution first and the larger solution second. Round to two decimal places (x+8)^2-7=0

Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

x ≈ - 10.65, x ≈ - 5.35

Step-by-step explanation:

Given

(x + 8)² - 7 = 0 ( add 7 to both sides )

(x + 8)² = 7 ( take the square root of both sides )

x + 8 = ± \sqrt{7} ( subtract 8 from both sides )

x = - 8 ± \sqrt{7} , thus

x = - 8 - \sqrt{7} ≈ - 10.65

x = - 8 + \sqrt{7} ≈ - 5.35

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3:9:24

Step-by-step explanation:

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wlad13 [49]
X-the number

16 + 2x = -24    |subtract 16 from both sides

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8 0
3 years ago
Helppp!! I NEED HELP PLEASE
Elodia [21]

Given:

The table of values for the function f(x).

To find:

The values f^{-1}(f(3.14)) and f(f(-7)).

Solution:

From the given table, it is clear that the function f(x) is defined as:

f(x)=\{(-14,11),(-7,-12),(-12,-5),(9,1),(10,-2),(-2,13)\}

We know that if (a,b) is in the function f(x), then (b,a) must be in the function f^{-1}(x). So, the inverse function is defined as:

f^{-1}(x)=\{(11,-14),(-12,-7),(-5,-12),(1,9),(-2,10),(13,-2)\}

And,

f^{-1}(f(a))=f^{1}(b)

f^{-1}(f(a))=a              ...(i)

Using (i), we get

f^{-1}(f(3.14))=3.14

Now,

f(f(-7))=f(-12)

f(f(-7))=5

Therefore, the required values are f^{-1}(f(3.14))=3.14 and f(f(-7))=5.

5 0
3 years ago
Problem 11-3 blair &amp; rosen, inc. (b&amp;r) is a brokerage firm that specializes in investment portfolios designed to meet th
Artyom0805 [142]

Linear programming which shows the best investment strategy for the client is Max Z=0.12I +0.09B and subject to constraints are :I+ B<=25000,

0.005 I +0.004B<=250.

Given maximum investment client can make is $55000, annual return= 9%, The investment advisor requires that at most $25,000 of the client's funds should be invested in the internet fund. The internet fund, which is the more risky of the two investment alternatives, has a risk rating of 5 per thousand dollars invested. the blue chip fund has a risk rating of 4 per thousand dollars invested.

We have to make a linear programming problem.

Let

I= Internet fund investment in thousands.

B=Blue chip fund  investment in thousands.

Objective function:

Max Z=0.12I+0.09B

subject to following constraints:

Investment amount: I+ B<=25000

Risk Rating: 5/100* I+4/100*B<=250 or 0.005 I +0.004B<=250

I,B>=0.

Hence the objective function is Max Z=0.12 I+ 0.09 B.

Learn more about LPP at brainly.com/question/25828237

#SPJ4

3 0
1 year ago
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