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vitfil [10]
3 years ago
7

Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The

Mathematics
1 answer:
Ivan3 years ago
6 0

Answer:

The area of the rectangle plus the area of the triangle under the line.

Step-by-step explanation:

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Guysss plsss HEELPPP ME ILL MARK BRAINLIEST PLLLSSSSSS HELP
Vitek1552 [10]

Answer:

y=-2\,(x-6)^2+246

with the video game cost of x = $6

This agrees with the last option in the list of possible answers

Step-by-step explanation:

Recall that the maximum of a parabola resides at its vertex. So let's find the x and y position of that vertex, by using first the fact that the x value of the vertex of a parabola of general form:

y=ax^2+bx+c

is given by:

x_{vertex}=\frac{-b}{2\,a}

In our case, the quadratic expression that generates the parabola is:

y=-2x^2+24x+174

then the x-position of its vertex is:

x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{-24}{2\,(-2)}\\x_{vertex}=\frac{-24}{-4)}\\x_{vertex}=6

This is the price of the video game that produces the maximum profit (x = $6). Now let's find the y-position of the vertex using the actual equation for this value of x:

y=-2x^2+24x+174\\y_{vertex}=-2\,(6)^2+24\,(6)+174\\y_{vertex}=-72+144+174\\y_{vertex}=246

This value is the highest weekly profit (y = $246).

Now, recall that we can write the equation of the parabola in what is called "vertex form" using the actual values of the vertex position (x_{vertex},y_{vertex}):

y-y_{vertex}=a\,(x-x_{vertex})^2\\y-246=-2\,(x-6)^2\\y=-2\,(x-6)^2+246

Therefore the answer is:

y=-2\,(x-6)^2+246

with the video game cost of x = $6

6 0
3 years ago
Pls help me will give brainliest
masha68 [24]

Answer:

1120 in.³

Step-by-step explanation:

The formula for Volume is V = l*w*h

In this case it would be V = 8*14*10

14*10=140

140*8 = 1120

Therefore, the correct answer would be 1120 in.³

8 0
3 years ago
Where can the bisectors of the angle of an obtuse triangle intersect
AleksAgata [21]
The answer to this question is inside the triangle 
8 0
3 years ago
Find the volume of a right circular cone that has a height of 15.2 cm and a base with a diameter of 11.9 cm. Round your answer t
postnew [5]

9514 1404 393

Answer:

  563.5 cm³

Step-by-step explanation:

Use the formula for the volume of a cone:

  V = (1/3)πr²h

Recognize that the radius is half the diameter:

  r = (11.9 cm)/2 = 5.95 cm

  V = (1/3)π(5.95 cm)²(15.2 cm) ≈ 563.516 cm³

The volume of the cone is about 563.5 cm³.

_____

<em>Additional comment</em>

If you use 3.14 for the value of π, then the result will be 563.2 cm³.

3 0
3 years ago
Solve -4(x + 1) - 3 = -3(x - 4). <br><br> 1.-19<br> 2.19<br> 3.2<br> 4.0
Aliun [14]

Answer:

(1) x=-19

Step-by-step explanation:

Let's solve your equation step-by-step.

−4(x+1)−3=−3(x−4)

5 0
4 years ago
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