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dimaraw [331]
2 years ago
9

The speed of a toy car over time can be represented by a parabola with minimum speed 2 m/s after 3 seconds. After 5 seconds, the

car's speed is 3 m/s. What is the equation in vertex form of a parabola that represents the car's speed, y, over time, x?
Mathematics
2 answers:
inn [45]2 years ago
5 0

Answer:

Step-by-step explanation:

y=ax²+bx+c

x=0,y=0,c=0

y=ax²+bx

2=9a+3b (×-5)

3=25a+5b(×3)

add

9-10=75a-45a+15b-15b

30a=-1

a=-1/(30)

2=9×(-1/30)+3b

3b=2+3/10=23/10

b=23/30

y=-1/30 x²+23/30=-1/30(x²+23x+(23/2)²)+1/30 ×(529/4)

y=-1/30(x+23/2)²+529/120

wel2 years ago
4 0
You have to solve x multiplying y
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Which expression correctly represents eight times the difference of 4 and a number
expeople1 [14]

Answer:

The expression for two times the difference of 4 and a number  is

8(4-d)

Step-by-step explanation:

To Find:

Write an expression for Eight times the difference of 4 and a number.

Solution:

Let the Unknown number be 'd'

Difference of 4 and d                        =      ( 4 - d )

So One Time Difference of 4 and d =  1× ( 4 - d )

∴   Two Times Difference of 4 and d = 2× ( 4 - d )

∴   Eight Times Difference of 4 and d = 8× ( 4 - d )

The expression for Eight times the difference of 4 and d. will be

8(4-d)

The expression for Eight times the difference of 4 and a number  is

8(4-d)

6 0
3 years ago
What value of k makes the factor (x+3) a factor of the function f(x)=3x^3-2x+k?
4vir4ik [10]
Step by step equation
5 0
3 years ago
Write an equation for the quadratic graphed below
uranmaximum [27]

Answer:

Step-by-step explanation:

LOL The graph doesn’t match the y intercept :)

Anyway

If we have point (0,-3) we have a quadratic of

y=ax^2+bx-3 we are given points (-1,0) and (2,0) so

a-b-3=0 and 4a+2b-3=0

4a+2b-3+2(a-b-3)=0

4a+2b-3+2a-2b-6=0

6a-9=0

6a=9

a=1.5, since a-b=3

1.5-b=3

b=-1.5

y=1.5x^2-1.5x-3

6 0
3 years ago
Read 2 more answers
A cargo plane flew from the US across the Atlantic at 212 mph, and flew back to the US at 232 mph. Given that the first trip too
expeople1 [14]

The return trip was 21.2 hours long.

Step-by-step explanation:

Given,

Speed of plane from US = 212 mph

Speed of plane on return trip = 232 mph

Let,

x be the time taken on return trip.

Time taken from US = x+2

We know that;

Distance = Speed * Time

Distance of plane from US = 212(x+2) = 212x+424

Distance on return trip = 232x

As the distance will be same, therefore,

232x=212x+424\\232x-212x=424\\20x=424

Dividing both sides by 20

\frac{20x}{20}=\frac{424}{20}\\x=12.2\ hours

The return trip was 21.2 hours long.

Keywords: distance, speed

Learn more about speed at:

  • brainly.com/question/12960754
  • brainly.com/question/12967961

#LearnwithBrainly

5 0
3 years ago
I'll try to give first person brainliest
ValentinkaMS [17]

Answer:

its 0 because when 2 on the x-axis is y0

5 0
2 years ago
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