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noname [10]
3 years ago
5

Which of the following is the graph of the quadratic function y = x2 - 4x +4?​

Mathematics
2 answers:
Airida [17]3 years ago
7 0

Answer:

B. Graph D

Step-by-step explanation:

Start with the vertex formula for each, <em>y</em><em> </em><em>=</em><em> </em><em>a</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>h</em><em>)</em><em>²</em><em> </em><em>+</em><em> </em><em>k</em><em>,</em><em> </em>where (<em>h</em><em>,</em><em> </em><em>k</em>) → (<em>2</em>, <em>0</em>) is the vertex, plus, -h gives you the OPPOSITE terms of what they really are, and k gives you the EXACT terms of what they really are. So, insert the vertex into the Vertex Equation FIRST, y = (x - 2)². We reason why there is no <em>k</em><em> </em>is because it is represented by 0. So, squaring this monomial will give us <em>x</em><em>²</em><em> </em><em>-</em><em> </em><em>4x</em><em> </em><em>+</em><em> </em><em>4</em><em>.</em><em> </em>Ta Da!

I am joyous to assist you anytime.

Pavlova-9 [17]3 years ago
7 0

Answer:

answer is B

Step-by-step explanation:

cause the other person answered it lol

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A sporting good store is offering an additional 30% off all clearance items and she purchases a pair of running shoes on clearan
Talja [164]

Answer:

Total discount = $39.50

                  or 46.47 %

Step-by-step explanation:

First we need to figure out what she will pay for the shoes.  She is getting 30 percent off the 65 dollars.

Discount = price * percent off

                = 65*.3

                = 19.50

The cost of her shoes is the price minus the discount.

Cost = 65- 19.5

        = 45.50


To find the total discount, take the original price and subtract the final cost.

Total discount = 85-45.50

                        = 39.50

To find the total percent discount, we use the formula

      total percent discount = (original - final)/original * 100

                                             = (85- 45.50)/85 * 100

                                             = 39.5/85*100

                                              = 46.47%

4 0
3 years ago
A population of 100 frogs increases at an annual rate of 22%. How many frogs will there be in 5 years? Write an expression to re
gizmo_the_mogwai [7]
Exponential growth of the form:

F=Ar^t

F=100(1.22)^t

F(5)=100(1.22)^5

F(5)=270.27

F(5)=270 to the nearest frog...

....

1.22=r^12

r=1.22^(1/12)

F=100(1.22^(1/12)^t)

F=100(1.22^(t/12))  now it will produce monthly populations...

Say we did the same as before but instead of 5 years you have 60 months...

F(60)=100(1.22^(60/12))

F(60)=270 to the nearest frog... :P 
6 0
4 years ago
On a coordinate plane, 2 lines are shown. Line P Q has points (negative 8, 2) and (4, 2). Line M N has points (8, 6) and (8, neg
DaniilM [7]

Answer:

Slope of PQ = 0

Slope of MN = infinity

PQ and MN are perpendicular to each other

Step-by-step explanation:

for any two points  (x1, y1),  (x2, y2)given in coordinate plane slope is given by

y1 - y2/x1-x2\\\\For \ line \ PQ\\slope = 2 - 2/-8-4 = 0\\\\For \ line \ MN \\slope = 6 - (-8)/8-8 = 1/0 = infinity\\\\

For any line if slope is zero it is parallel  to X axis and perpendicular to Y axis

For any line if slope is infinity it is parallel  to Y axis and perpendicular to X axis

Also we know X and Y are perpendicular to each other.

Since slope of PQ is zero it is parallel  to X axis and perpendicular to Y axis

Since slope of MN is infinity it is parallel  to Y axis and perpendicular to X axis.

Thus two lines PQ and MN are perpendicular to each other.

4 0
3 years ago
Read 2 more answers
Tina ordered a replacement part for her desk. It was shipped in a box that measures 2 in. by 2 in. by 11 in. What is the greates
algol13

Answer:

15 inches

Step-by-step explanation:

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l = √(4² +4² +14²) = √228 ≈ 15.10 . . . . inches

If im wrong just tell me im sorry if it is

Ally~

8 0
2 years ago
The mean salary offered to students who are graduating from Coastal State University this year is $24,245, with a standard devia
leva [86]

Answer:  The probability that the mean salary offer for these 80 students is $23,500 or less equals to 0.4054

Step-by-step explanation: Please find the attached file for the solution

5 0
3 years ago
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