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san4es73 [151]
2 years ago
15

Solve using square root method

Mathematics
1 answer:
avanturin [10]2 years ago
6 0
\frac{1}{2}(x+5)^2 + 9 = -15

\frac{(x+5)^2+18}{2} =  \frac{-30}{2}

Cancel out the denominators.

(x+5)² + 18 = -30

(x+5)² = -30 - 18

(x+5)² = -48

The equation is impossible, we have a negative number.

There isn't a number that squared gives a negative number (the square is always positive).

√(x+5)² = +/- √-48

x+5 = +/- √-48

IMPOSSIBLE

You can write the result in imaginary numbers

x+5=+/- 4i√3
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the tickets for a benefit concert were $6 for friday night and $8 for Saturday night. the total attendence for the two nights wa
aksik [14]

Answer:

432 people on Friday and 658 on Saturday

Step-by-step explanation:

Lets use variables for each day

x=Friday and y=Saturday

now write two equations since you were given two different information (money and people)

$6 on Friday and $8 on Saturday with a total amount of $7856

the equation will be 6x+8y=7856

now the second equation will be for people

x amount of people on Friday and y amount of people on saturday for a total of 1090; the equation will be

x+y=1090

put them together

6x+8y=7856

x+y=1090

now you can cancel a variable but manipulating one of the equations. We'll use x, to cancel x you need make it zero so multiply the bottom by -6

6x+8y=7856

-6(x+y=1090)

6x+8y=7856                   now subtract downwards, with the x cancelling

-6x-6y=-6540

2y=1316                          simplify

(2y/2)=(1316/2)              

y=658

                                       insert y into x+y=1090

x+(658)=1090

    -658   -658

x=432

7 0
3 years ago
Use calculus to find the volume of the following solid SThe base of S
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2 years ago
Animal populations are not capable of unrestricted growth because of limited habitat and food supplies. Under such conditions th
trasher [3.6K]

Answer:

(a) 100 fishes

(b) t = 10: 483 fishes

    t = 20: 999 fishes

    t = 30: 1168 fishes

(c)

P(\infty) = 1200

Step-by-step explanation:

Given

P(t) =\frac{d}{1+ke^-{ct}}

d = 1200\\k = 11\\c=0.2

Solving (a): Fishes at t = 0

This gives:

P(0) =\frac{1200}{1+11*e^-{0.2*0}}

P(0) =\frac{1200}{1+11*e^-{0}}

P(0) =\frac{1200}{1+11*1}

P(0) =\frac{1200}{1+11}

P(0) =\frac{1200}{12}

P(0) = 100

Solving (a): Fishes at t = 10, 20, 30

t = 10

P(10) =\frac{1200}{1+11*e^-{0.2*10}} =\frac{1200}{1+11*e^-{2}}\\\\P(10) =\frac{1200}{1+11*0.135}=\frac{1200}{2.485}\\\\P(10) =483

t = 20

P(20) =\frac{1200}{1+11*e^-{0.2*20}} =\frac{1200}{1+11*e^-{4}}\\\\P(20) =\frac{1200}{1+11*0.0183}=\frac{1200}{1.2013}\\\\P(20) =999

t = 30

P(30) =\frac{1200}{1+11*e^-{0.2*30}} =\frac{1200}{1+11*e^-{6}}\\\\P(30) =\frac{1200}{1+11*0.00247}=\frac{1200}{1.0273}\\\\P(30) =1168

Solving (c): \lim_{t \to \infty} P(t)

In (b) above.

Notice that as t increases from 10 to 20 to 30, the values of e^{-ct} decreases

This implies that:

{t \to \infty} = {e^{-ct} \to 0}

So:

The value of P(t) for large values is:

P(\infty) = \frac{1200}{1 + 11 * 0}

P(\infty) = \frac{1200}{1 + 0}

P(\infty) = \frac{1200}{1}

P(\infty) = 1200

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2 years ago
What is the measure of o?
Anna71 [15]

Answer:

2π radians

Step-by-step explanation:

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3 years ago
7-10. Waits - Conditional Statemeru B-Converse Statement C - Inverse Statement
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Step-by-step explanation:

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