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nalin [4]
2 years ago
11

The graphs below have the same shape. What is the equation of the blue graph?​

Mathematics
1 answer:
S_A_V [24]2 years ago
5 0
<h3>Answer: Choice C.  g(x) = (x-4)^2</h3>

================================================================

Explanation:

If we were to keep the red curve completely fixed, but we moved the xy axis four units to the left, then this would give the illusion the red curve is moving four units to the right to arrive at the blue curve's location.

Shifting the xy axis four units to the left is the same as subtracting 4 from each initial input x value. So we go from x to x-4.

The parent function f(x) = x^2 then becomes g(x) = (x-4)^2 which is choice C.

As one way to check, plug in x = 4 and you should find that g(4) = 0. This is the x intercept of the blue curve. Something like g(x) = (x+4)^2 does not work because plugging x = 4 into this leads to g(x) = 64, so that rules out choice A. You can eliminate choices B and D for similar reasoning as well.

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A rectangular rug has an area of 84 square feet. If its length is 2 feet more than twice its​ width, find the dimensions of the
weeeeeb [17]

L=2W+2

W=(L-2)/2

A=LW, using W from above makes this

A=L(L-2)/2

2A=L^2-2L

L^2-2L-2A=0, given A=84

L^2-2L-168=0

(L-14)(L+12)=0, since L>0

L=14

The length of the rug is 14 ft

(W=(L-2)/2=6 ft)

3 0
2 years ago
System of equations- does this have one solution, many solutions or no solution
sladkih [1.3K]

Answer:

infinitely many solutions because both equations are the same

Step-by-step explanation:

6 0
2 years ago
What is -5x + 15 = 35 - 10x
dezoksy [38]

Answer:

   x = 4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    -5*x+15-(35-10*x)=0

Pull out like factors :

             5x - 20  =   5 • (x - 4)

_________________________________________

Solve :    5   =  0

This equation has no solution.

A a non-zero constant never equals zero.

_________________________________________

Solve  :    x-4 = 0

Add  4  to both sides of the equation :

                     x = 4

3 0
3 years ago
Read 2 more answers
How much will the monthly payment be for a new car priced at $14,350 if the current finance rate is 36 months at 3. 16%? Include
expeople1 [14]

The monthly payment for the new car is; Choice A; $279. 03

<h3>Percentages</h3>

After the down payment of 30% and financing the 8% TT&L is made; it follows that;

The rest of the payment is;

  • $14,350(1 - 0.38)

  • $14,350(0.62)

Hence, $8,897 is the payment made over the course of the duration at a finance rate of 3.16%.

Ultimately, the monthly payment is; $8,897 × 0.0316 = $279.03

Read more on percentages;

brainly.com/question/1578533

3 0
2 years ago
Hows everyone's day? free 25 points btw ;D
LenKa [72]

my day is pretty okay how is your day

6 0
3 years ago
Read 2 more answers
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