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2 years ago

Solve |x+ 3|- 1 = (x + 2)^2 by graphing. The solutions are x = and x =

Mathematics

1 answer:

Setler [38]2 years ago

5 0

9514 1404 393

Answer:

x = -2, x = -1

Step-by-step explanation:

A graphing calculator solves this nicely, as shown in the attachment.

x = -2, x = -1

The given equation resolves to two equations.

x+3 < 0

-(x +3) -1 = (x +2)^2

x^2 +5x +7 = 0

Checking the discriminant, we find ...

b^2 -4ac = (5)^2 -4(1)(7) = 25 -28 = -3

There are only complex solutions to this equation.

x+3 ≥ 0

x +3 -1 = (x +2)^2

(x +2)^2 -(x +2) = 0 . . . .subtract x+2

(x +2)(x +2 -1) = 0 . . . . . factor

Solutions are values of x that make these factors zero.

x +2 = 0 ⇒ x = -2

x +1 = 0 ⇒ x = -1

Domain Check

x +3 = -2 +3 = 1 > 0 . . . . as required.

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On a farm there was a cow. And on the farm there were 2 sheep. There were also 3 chickens. What is the total mass of the 1 cow,

RoseWind [281]

The total mass of the living things on the farm is 588 kg.

<h2>Mass calculation</h2>

Since on a farm there was a cow, 2 sheep and 3 chickens, to determine what is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm, the following calculation must be performed :

(6.2 x 10) + (4 x 10 x 10) + (2 x 6 x 10) + (3 x 2 x 1) = X
62 + 400 + 120 + 6 = X
588 = X

Therefore, the total mass of the living things on the farm is 588 kg.

Learn more about mass calculation in brainly.com/question/14695611

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1 year ago

F (n)=-3n^2-4n Find f(4)

defon

Answer:

144

Step-by-step explanation:

f(4)=3*4^2

f(4)=12^2

12*12=144

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3 years ago

Read 2 more answers

2x2-y if x=3 and y=8

9966 [12]

The answer is 0 because when you plug in the 3 and the 8 into the equation and do order of operations you will get 0.

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3 years ago

Which two values of x are the roots of the polynomial below? x^2+5x+11

In-s [12.5K]

Answer:

x = -5/2 + i√19 and x = -5/2 - i√19

Step-by-step explanation:

Next time, please share the possible answer choices.

Here we can actually find the roots, using the quadratic formula or some other approach.

a = 1, b = 5 and c = 11. Then the discriminant is b^2-4ac, or 5^2-4(1)(11). Since the discriminant is negative, the roots are complex. The discriminant value is 25-44, or -19.

Thus, the roots of the given poly are:

-5 plus or minus i√19

x = -----------------------------------

2(1)

or x = -5/2 + i√19 and x = -5/2 - i√19

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3 years ago

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Maureen earned some money doing odd jobs last summer and put it in a savings account that earns 9% interest compounded quarterly

ivolga24 [154]

Answer:

Maureen earned $123.19 doing odd jobs

Step-by-step explanation:

The compound interest formula is given by:

$A(t) = P(1 + \frac{r}{n})^{nt}$

Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per unit year and t is the time in years for which the money is invested or borrowed.

In this question:

Compounded quarterly means that $n = 4$