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
Lina20 [59]
3 years ago
14

Tara solved a quadratic equation. Her work is shown below, with Step 222 missing. What could Tara have written as the result fro

m Step 222? \begin{aligned} 2(x-3)^2+6&=14 \\\\ 2(x-3)^2&=8&\text{Step }1 \\\\ &&\text{Step }2 \\\\ x-3&=\pm 2&\text{Step }3 \\\\ x=1&\text{ or }x=5&\text{Step }4 \end{aligned} 2(x−3) 2 +6 2(x−3) 2 x−3 x=1 ​ =14 =8 =±2 or x=5 ​ Step 1 Step 2 Step 3 Step 4 ​
Mathematics
1 answer:
Travka [436]3 years ago
3 0

Answer:

(x-3)^2=4

Step-by-step explanation:

Tara's work is shown below:

\begin{aligned} 2(x-3)^2+6&=14 \\\\ 2(x-3)^2&=8&\text{Step }1 \\\\ &&\text{Step }2 \\\\ x-3&=\pm 2&\text{Step }3 \\\\ x=1&\text{ or }x=5&\text{Step }4 \end{aligned}

From the equation, we notice that in Step 1, Tara did:

2(x-3)^2+6=14\\2(x-3)^2=14-6\\2(x-3)^2=8

She is trying to isolate the x-variable. Therefore, the next logical step will be to divide both sides by 2 and her Step 2 will therefore be:

\dfrac{2(x-3)^2}{2} =\dfrac{8}{2} \\\\(x-3)^2=4

Tara could have written: (x-3)^2=4 as her step 2 and we would then have her work as:

\begin{aligned} 2(x-3)^2+6&=14 \\\\ 2(x-3)^2&=8&\text{Step }1 \\\\ (x-3)^2&=4&\text{Step }2 \\\\ x-3&=\pm 2&\text{Step }3 \\\\ x=1&\text{ or }x=5&\text{Step }4 \end{aligned}

You might be interested in
Suppose you invest $10,000 at the age of 40, and agree to start receiving payments at the age of 50. At age 48, you decide you w
olchik [2.2K]
So out of the amount in your account you have $10,000.

You get charged a 10% fee if you withdraw before you are 59.5 (you did, you were 48).

So, they are going to charge a 10% fee of the $2,500.

10% of $2,500 is...

Your Answer:
$250

5 0
3 years ago
The Smith family has a circular garden with a diameter of 22 feet. They cover the garden with mulch. The cost of the mulch is $1
yarga [219]

Answer: 27.5

Step-by-step explanation:

3 0
3 years ago
your teacher is giving out food for lunch or paperback a taste for Apple 6 Pairs and eight oranges what is a compliment to this
yKpoI14uk [10]
I think the answer could be thank you.
6 0
3 years ago
What is the solution to the equation?<br> -4 = 1<br> .<br> Enter your answer in the box.<br> X=
beks73 [17]

Step-by-step explanation:

I'm not sure about my answer

6 0
3 years ago
“Use the rule 5n - 2 to complete the missing entry labeled A and B in the input-output table below”
Shtirlitz [24]

Step-by-step explanation:

5n-2

5(4) - 2

20-2=18

A= 18

5n - 2 =48

5n=48+2

5n=50

divide by 5

n= 10

B=10

7 0
3 years ago
Other questions:
  • When eight times an unknown number is decreased by 208 the result is four times the unknown number.
    13·1 answer
  • How to tell if a number approaching inifnity is equal to -1?
    14·1 answer
  • How many yards are in 7 3/5 feet?
    5·1 answer
  • A car dealership has found that the length of time before a major repair is required on the new cars it sells is normally distri
    10·1 answer
  • Identify the solution to the system of linear equations<br> Y=-x-2<br> Y=x-6
    5·1 answer
  • Is 1/4 greater than , less than , or equal to 0.4...
    7·1 answer
  • Leslie found the volume of a cone having both a height
    11·2 answers
  • 2) An $80 text book was on sale for $49.60 at the used book store. By what percent did the book decrease in price?​
    13·2 answers
  • Evaluate the expression. Question 9 options: A) tan π∕56 B) tan 17π∕56 C) –tan 17π∕56 D) –tan π∕56
    9·1 answer
  • Yesterday, Grace drove 2 1/8 miles. she used 1 1/4
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!