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3 years ago

Solve for x: 2(x + 3)2 − 4 = 0

Mathematics

2 answers:

Ivan3 years ago

8 0

The answer would be the second one

Rom4ik [11]3 years ago

8 0

Answer:

x = -4.41, -1.59

Step-by-step explanation:

To solve for x in the equation; 2(x + 3)² - 4 = 0, we are going to follow the steps below;

First, we will add 4 to both-side of the equation

2(x + 3)² - 4 + 4 = 0 + 4

2(x + 3)² = 4

Next, we will divide both-side of the equation by 2

2(x + 3)²/2 = 4/2

(on the left-hand side of the equation 2 at the numerator will cancel-out 2 at the denominator leaving us with (x + 3)² while On the right-hand side of the equation, 4 will be divided by 2)

(x + 3)² = 2

Take the square root of both-side of the equation

√(x + 3)² = ±√2

x + 3 = ±1.41

Subtract 3 from both-side of the equation

x + 3 - 3 = ±1.41 - 3

x = ±1.41 - 3

Either x = 1.41 - 3 or x = -1.41 - 3

Either x = -1.59 or x = -4.41

x = -4.41, -1.59

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3 years ago

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Answer:

Step-by-step explanation:

Slope of the trail is expressed as;

Slope = vertical distance/horizontal distance

Given

Vertical distance = 60metres

Horizontal distance= 300metres

Substitute

Slope = 60/300

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3 years ago

a triceatops has to children. one is 3 times older than the other. Together, their age is 50 months how old are they?

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To solve this problem, create two equations with x and y. The pieces of information that we know are that the first child is 3 times older than the second child. Therefore if we assign child #1 the variable of x and child #2 the variable of y, we could get the following equation:

3x = y

Now, we also know that together their ages equal 50 months. Therefore:

x + y = 50 (months)

So, using these two equations you can use either substitution or elimination to find the values of x and y. You would first need to rearrange the first equation to 3x - y = 0 (just moving the y to the other side).

Then, you could add the equations together as followed:

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And then fill that value in to one of the equations to find y.

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3 years ago

What is the x value for 21x+7y=42

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3 years ago

Read 2 more answers

Suppose an individual makes an initial investment of $3,000 in an account that earns 6.6%, compounded monthly, and makes additio

makkiz [27]

Answer:

b) $17,400

d) $33,517.20

Step-by-step explanation:

a) $28,482.19 . . . . future value of all deposits

b) The initial deposit was $3000, and there were 144 deposits of $100 each, for a total of ...

$3000 +144×100 = $17,400 . . . . total deposited

c) $558.62

d) 60 monthly withdrawals were made in the amount $558.62, for a total of ...

60×$558.62 = $33,517.20 . . . . total withdrawn

_____

<em>Additional information about (a) and (c)</em>

(a) The future value of the initial deposit is the deposit multiplied by the interest multiplier over the period.

A = P(1 +r/n)^(nt) = 3000(1 +.066/12)^(12·12) = 3000·1.0055^144 ≈ 6609.065

The future value of $100 deposits each month is the sum of the series of 144 terms with common ratio 1.0055 and initial value 100.

A = 100(1.055^144 -1)/0.0055 ≈ 21,873.123

So, the total future value is ...

$6609.065 +21873.123 ≈ $28482.188 ≈ $28,482.19

(c) The withdrawal amount can be found using the same formula used for loan payments:

A = P(r/n)/(1 -(1 +r/n)^(-nt)) = $28482.19(.0055)/(1 -1.0055^-60) ≈ $558.62

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3 years ago