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Vinvika [58]
3 years ago
11

The graph below have the same shape. what is the equation of the blue graph

Mathematics
2 answers:
malfutka [58]3 years ago
8 0
Your answer is going to be letter B. the minimum point is in a negative spot so that cancels out A and D. the inside of the parabola is pointing up so that makes the answer B.  
katovenus [111]3 years ago
7 0
<h2>Answer:</h2>

Option: B is the correct answer.

The equation of blue graph is:

         B.    y=(x+4)^2-3    

<h2>Step-by-step explanation:</h2>

We could clearly observe from the graph that the vertex of the blue graph is:

                       (-4,-3)

Also from the figure we could see that the parabola is a upward open parabola.Hence, the general equation of an upward open parabola is given by:

y=a(x-h)^2+k

where (h,k) denote the vertex of the parabola.

Hence, we have: (h,k)=(-4,-3)

i.e. h= -4 and k= -3

Hence, the equation of blue graph is:

y=(x-(-4))^2-3\\\\y=(x+4)^2-3

                     

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Evaluate -a - 12a 2 for a = -1
Serhud [2]
The answer is -11
You put "-1" in place of all the "a"s and get 
-(-1) - 12(-1)^2
-(-1) is just 1, and (-1)^2 is "1"
We are then left with 1-12(1) which is 1-12 which is -11
6 0
3 years ago
You earn three dollars an hour as a waitress after working three hours you earn 12 five and seven dollars in tips how much money
NikAS [45]

Answer:

The waitress earned a total of 33 dollars

Step-by-step explanation:

Step 1: Determine total earnings from wages;

Total earnings from wages=Earnings per hour×number of hours worked

where;

Earnings per hour=3 dollars an hour

Number of hours worked=3 hours

replacing;

Total earnings from wages=(3×3)=9 dollars

Step 2: Determine total earnings from tips

Total earnings from tips=(12+5+7)=24 dollars

Step 3: Calculate total money earned

Total money earned=Total earnings from tips+total earnings from wages

where;

Total earnings from tips=24 dollars

Total earnings from wages=9 dollars

replacing;

Total money earned=(9+24)=33 dollars

The waitress earned a total of 33 dollars

7 0
3 years ago
Simply 4 square root of 45
maksim [4K]
Answer : 12 square root 5

4 square root 45
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4 time 3 square root 5
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3 0
4 years ago
50 Points!!
charle [14.2K]

1. 2\cdot(8-3)-6=2\cdot5-6=4

2. 14c-6=22\implies14c=28\implies c=2

3. 2x+18=5x\implies 3x=18\implies x=6

4. 18-c+9c+6=24+8c

5. 8x=-56\implies x=-7

Hope this helps :)

3 0
3 years ago
Rachel is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove to get to the
lara31 [8.8K]

Answer:

D(t)=-24t+166

Step-by-step explanation:

Let

D(t) = the distance to the safe zone (measured in meters)

t = time (measured in seconds)

<u>Given:</u>

Rachel's rate = 24 meters per second

At t_1=4 seconds D(t_1)=70 meters

<u>Find:</u> D(t)

Rachel's rate is the slope of the function D(t). Since the distance is decreasing when the time is increasing, the slope must be negative.

Hence, the function expression is

D(t)=-24t+b

To find b, substitute t_1=4 and  D(t_1)=70:

70=-24\cdot 4+b\\ \\70=-96+b\\ \\b=70+96\\ \\b=166

So,

D(t)=-24t+166

7 0
3 years ago
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