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
arsen [322]
4 years ago
7

Jennifer made an error converting y=x^2+2x+7 to vertex form. In which step did she make the error? Explain your answer and provi

de the correct form of the equation in vertex form.
A. y=x^2+2x+7
B. y=(x^2+2x)+7
C. y=(x^2+2x+1)+7
D. y=(x+1)^2+7

SERIOUS ANSWERS ONLY
Mathematics
2 answers:
Greeley [361]4 years ago
7 0

Answer and Step-by-step explanation:

The step that was wrong is at C: when Jennifer added the 1 into the parentheses, she forgot to subtract 1 from the 7. The reason she needs to do that is because now, if you compare her equation at C with her original, they're not the same:

Original: x^2 + 2x + 7

Step C: x^2 + 2x + 8

So, Jennifer actually needs to subtract 1 from the 7 if she wants to add 1 into the parenthetical expression:

Correct Step C: (x^2 + 2x + 1) + 7 - 1 = (x^2 + 2x + 1) + 6

Now, the correct vertex form is: (x + 1)^2 + 6

Hope this helps!

7nadin3 [17]4 years ago
4 0

She made a mistake in step C.

C) y=(x²+2x+1)+7-1

D) y=(x+1)²+6

You might be interested in
Write 5/10 in 3 equivalent forms
son4ous [18]
5/10 in 3 equivalent forms is: 1/2 2/4 4/8
7 0
3 years ago
The square of a number, x, is 16 less than eight times the number. What is the number? Type the correct answer in the box. Use n
liraira [26]

Given :

The square of a number, x, is 16 less than eight times the number.

To Find :

The value of x .

Solution :

The mathematical equation with all given data is :

x^2=8x-16\\\\x^2-8x+16=0\\\\x^2-4x-4x+16=0\\\\x(x-4)-4(x-4)=0\\\\(x-4)^2=0\\\\x=4

Therefore , the value of x is 4 .

Hence , this is the required solution .

3 0
3 years ago
Is the centroid of a triangle equidistant from the three vertices?
Xelga [282]
The point that is equidistant<span> to all sides of a </span>triangle is <span>called the incenter.

</span>
4 0
3 years ago
BRAINLIEST ASAP! PLEASE HELP ME :)
Lubov Fominskaja [6]

Answer:

(A)If the points are on the same line, then the points are collinear. True

Step-by-step explanation:

Given the conditional statement:

  • Collinear points are on the same line.

Its converse will be:

  • If the points are on the same line, then the points are collinear.

This is true because by definition of collinearity, the points must be on the same line. Therefore, no counter example is needed.

<u>The correct option is A.</u>

8 0
3 years ago
Define two terms, each containing the variables x and y, with exponents on each. (For example: 10x3y−5.) Find the quotient of th
Serjik [45]

Answer:Two such terms are 7x^3*y^9 and -3x*y^5

Their quotient is

7x^3*y^9

--------------

-3x*y^5

This can be simplified as follows:

The numerical coefficients become -7/3.

x^3/x = x^3*x^1 = x^(3 - 1) = x^2 (we subtract the exponent of x in the denominator from the exponent of x in the numerator).

Next, y^9*y^5 = y^4.

The quotient in final reduced form is then (-7/3)x^2*y^4

7 0
3 years ago
Other questions:
  • The answer I’m soo confused
    9·1 answer
  • Construct a triangle ABC where BC =4cm ,B=60° and AB+AC=6cm
    7·1 answer
  • Joey is constructing the circumscribed circle for △RST. He has already used his compass and straightedge to complete the part of
    15·2 answers
  • If 843 units cost $16,421.40 to produce, how much does each unit cost to produce to the nearest cent?
    13·1 answer
  • -9 · (-8) =<br> O 72<br> 00<br> o<br> 00<br> O-72
    7·1 answer
  • Triangle Q T S is shown. Angle A T S is a right angle. An altitude is drawn from point T to point R on side Q S to form a right
    13·2 answers
  • On a basketball team, the following players made most of the 56 points made during the last basketball game.
    15·1 answer
  • What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?
    5·1 answer
  • What Quadrant is the following point located in?<br> (-5,1)
    5·2 answers
  • Yea also all of this
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!