1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kupik [55]
2 years ago
7

Theo started to solve the quadratic equation (x 2)2 – 9 = –5. he added 9 to both sides and the resulting equation was (x 2)2 = 4

. next, he took the square root of each side. which was the resulting equation of that step? x 2 = ±4 x 2 = ±2 x 2 = ±8 x 2 = ±16
Mathematics
1 answer:
balu736 [363]2 years ago
5 0

The resulting equation of that step is the square root of  (x + 2)²  is  (x + 2).

<h3>What is the square root function?</h3>

A square root function is defined as a one-to-one function that takes a positive number as an input and returns the square root of the given input number.

From there, it was pretty easy for Theo to find the solutions

to the original equation.

If  (x + 2) = +2 , then  x = 0 .

If  (x + 2) = -2 , then  x = -4

Hence, the resulting equation of that step is the square root of  (x + 2)²  is  (x + 2).

To know more about the square root function click the link given below.

brainly.com/question/4480283

You might be interested in
Carmen bought a desktop computer and a laptop computer. Before finance charges, the laptop cost $200 less than the desktop. She
stiks02 [169]
Let x = cost of desktop computer; then x - 250 = cost of laptop computer

converting % to decimals, 9% = 0.09 and 6% = 0.06

Then, 0.09x + (x - 250)0.06 = $300
0.09x + 0.06x - 15 = $300
0.15x = $315
x = $2100
then x - 250 = $1850

Proof: $2100•0.09 + 1850•0.06 = $189 + $111 = $300
5 0
2 years ago
g If the economy improves, a certain stock stock will have a return of 23.4 percent. If the economy declines, the stock will hav
dusya [7]

Answer:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

Step-by-step explanation:

We can define the random variable of interest X as the return from a stock and we know the following conditions:

X_1 = 23.4 , P(X_1) =0.67 represent the result if the economy improves

X_2 = -11.9 , P(X_1) =0.33 represent the result if we have a recession

We want to find the standard deviation for the returns on the stock. We need to begin finding the mean with this formula:

E(X) = \sum_{i=1}^n X_i P(X_i)

And replacing the data given we got:

E(X) = 23.4* 0.67 -11.9*0.33= 11.759 \%

Now we can find the second central moment with this formula:

E(X^2) = \sum_{i=1}^n X^2_i P(X_i)

And replacing we got:

E(X^2) = (23.4)^2* 0.67 +(-11.9)^2*0.33= 413.5965

And the variance is given by:

Var(X) = E(X^2) - [E(X)]^2

And replacing we got:

Var(X) = 413.5965 -(11.759)^2 =275.5105

And finally the deviation would be:

Sd(X) = \sqrt{275.5105}= 16.599 \%

7 0
3 years ago
Just got switched to a new math class.... I need wit these two questions....
umka2103 [35]
I can’t see it needs better lighting
8 0
3 years ago
Write in slope intercept form an equation of the line that passes through the given points
Tpy6a [65]

Answer:

The desired equation is y = x + 8.

Step-by-step explanation:

As we move right from (-2,6) to (4,12), x increases by 6 and y also increases by 6.  Thus, the slope, m, m = rise / run, is m = 6/6, or just m = 1.

Start with the slope intercept form y = mx + b.  Since m = 1, we now have y = x + b.  Subbing 4 for x, 12 for y, we can find b:  12 = 4 + b.  Thus, b = 8.

The desired equation is y = x + 8.

4 0
3 years ago
Read 2 more answers
sarah is makeing 4 batches of granola bars she adds 7-8 peanuts. to eatch batch. her measureing cul holds 1-8 cup of peanuts
jarptica [38.1K]
From what i gathered... i think i<span>t would be 3.5?
Hope i</span><span>t helps. . . . </span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • Paula is painting a henhouse. If a can of paint will cover 24 square feet, how many cans of paint does she need to buy? Explain
    9·1 answer
  • Is this equation a monomial, binomial or a trinomial.
    14·1 answer
  • Se dau punctele coliniare A,B,C cu distanta AB=30 BC=15 .Calculati distanta dintre AsiC.Catr soluti are proclrma?
    13·1 answer
  • If the standard deviation of the data values in a sample is 17, what is the variance of the data values
    11·2 answers
  • A survey of 398 children given at a local elementary school showed that 200 like chocolate ice cream 125 like pistachio ice crea
    6·1 answer
  • What is 4pie=w-6 pie
    13·1 answer
  • 13. Tara made 2 3/4 cups of white rice for a dinner party. She has 3 friends
    15·1 answer
  • The diagram shows a right angled triangle and a parallelogram. The area of the parallelogram is 5 times the area of the triangle
    9·1 answer
  • What is the equation of a line perpendicular to y=¼x-3 that passes through point (-2,4)​
    13·2 answers
  • Please help me ASAP
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!