An object was dropped off the top of a building. The function
f
(
x
)
=
−
16
x
2
+
256
f(x)=−16x
2
+256 represents the height of the object above the ground, in feet,
x
x seconds after being dropped. Find and interpret the given function values and determine an appropriate domain for the function.

f(−1)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
1.5
)
=
f(1.5)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
f
(
6
)
=
f(6)= , meaning that seconds after the object was dropped, the object was feet above the ground. This interpretation in the context of the problem.
Based on the observations above, it is clear that an appropriate domain for the function is .

Answer: she can buy it for 5 friends

Step-by-step explanation:

$35(budget)- $15(craft booth) =$25

then $25 divided by $4 equals 5

So 5 people she can but for.

Answer:whole

Step-by-step explanation:

a whole number and a fraction make a mixed number.

Answer:

Step-by-step explanation:

Greater, provided the divisor is positive.

It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.

If the divisor is negative and the dividend is positive, then the quotient is negative (and hence less than the dividend).

Answer:

12 hours

Step-by-step explanation:

Step one:

given data

base fee= $60

charge per hour= $15

let the number of hours the plumber work be x

the linear function for the charge is the equation of line.

that is y=mx+c

Step two:

given that y=$240

240=15x+60

240-60=15x

180=15x

divide both sides by 15 we have

x=180/15

x=12

The number of hours is 12

Answer:

The slope is 10/4

Step-by-step explanation:

Answer:

Step-by-step explanation:

5x−2y=18

5(0)−2y=18

-2y=18

y=-9

5x−2(0)=18

5x+0=18

5x=18

x=18/5

*answer was incorrect please see below*                                                                                                    

Answer:

The area of the trapezium is [tex]74.8\ cm^2[/tex]

Step-by-step explanation:

Area of a trapezium:

[tex]\displaystyle A=\frac{b1+b2}{2}h[/tex]

This formula is valid if b1 and b2 are parallel and h is perpendicular to both.

Since the trapezium given in the problem satisfies those conditions, we use the formula with:

b1=15 cm

b2=7 cm

h=6.8 cm

[tex]\displaystyle A=\frac{15+7}{2}\cdot 6.8[/tex]

[tex]A=74.8\ cm^2[/tex]

The area of the trapezium is [tex]74.8\ cm^2[/tex]

Answer:

Yes, y = .08x

Step-by-step explanation:

Yes, because if you divide 2.56 by 32 you get .08.

If you multiply .08*6 = .48.

The equation would be y = .08x

If y is the cost and x is the amount of yogurt then this equation makes sense.

Check 32oz

y = .08(32)

y = 2.56

Hope this helps ya!!

Answer:

The graph of a quadratic function is a U-shaped curve called a parabola. ... If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value.

Step-by-step explanation:

please mark me brainlist

The relationship between the vertex and the minimum or maximum value of the parabola is given below.

A plane curve produced by a moving point such that its separation from a fixed point equals that of a fixed line is a parabola.

Let the vertex be any parabola is (x, y).

When the graph of the parabola opens up,

then the y-value of the vertex is the minimum value.

And when the graph of the parabola opens down,

then the y-value of the vertex is the maximum value.

Therefore, the explanation is given above.

To learn more about the parabola;

https://brainly.com/question/21685473

#SPJ2

What you have so far is correct.

Problem 7 is a function because none of the x values repeat. Each x input goes to exactly one y output. The y values can repeat. If the y values repeat, then we don't have a one-to-one function.

In contrast, problem 8 is not a function. We have x = 1 go to y = 8 and y = 6 at the same time. This is one example showing we don't have one output for a given input.

Answer:

192

Step-by-step explanation:

It’s the answer

Answer:x = 0.028571 cm3

Step-by-step explanation:

I the density is constant and a mass of 3.5 g takes up 1 cubic centimeter, how much volume will a mass of 0.20 g take (in cubit centimeters)?

So, let x be the volume in cubit centimeters.

   the mass is to the volume is as the mass is to the volume

        3.5g /(1 cm3)  =  0,1g / (x cm3)

Cross-multiply to get:

       3.5x = 0.1

         x = 0.1 / 3.5                (divide both sides by 3.5)

         x = 0.028571 cm3      (you probably should round this, but diamonds are expensive !)

Answer:

The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t

Step-by-step explanation:

The given parameters are;

The initial velocity of the rocket, v = 138 feet per second

The vertical motion formula = h(t) = 0.5·a·t² + v·t + s

The gravitational constant, a = -32 ft./s²

s = The initial height of the rocket

Therefore, he have;

The height of the rocket, t seconds seconds into launch is given as follows;

Height = h = h(t) - s = 0.5·a·t² + v·t

Substituting the known values gives;

h(t) - s = 0.5 × (-32) × t² + 138 × t = -16·t² + 138·t

h = -16·t² + 138·t

The function that describes the height, h in feet, of the rocket, t seconds into launch is h = -16·t² + 138·t.

Answer: Y=150

Step-by-step explanation: SIMPLE MATH

Answer:

(15m^2 + 5)

Step-by-step explanation:

(m2 - 3m + 19 ) + (2m2 + m) + (4m2 - 7) + (2m2 + m) + (4m2 - 7) + (2m2 + m)

15m2 + 0m + 5

=> 15m^2 + 5

Answer:

try adding all the sides up

Step-by-step explanation:

Answer: P is arc; Q is the centre of the circle; R is the radius; S is the circumference

Step-by-step explanation: P is arc: it is a continuous part of the circumference (S) of the circle;

Q is the centre of the circle which is at any point in time R points away from P;

R is the radius: the line segment between any point of a circle and its centre, Q;

S is the circumference of the circle: the line that bounds a circle.

Step-by-step explanation:

1.n:1

6:8

2.cross multiply

3.8×n÷6×1

8n=6

4 divide both side by 6

=8n÷6=6÷6 :

=8n÷6=1.33...

therefore n=1.33...

Answer:

A

Step-by-step explanation:

I included the steps in the picture I attached. lmk if you need me to explain more

Answer:

Your answer is: Infinitely Many

Any value of  x  makes the equation true.  Also, they are all real numbers.

Step-by-step explanation:

If you are solving to find all Complex Number Solutions: ↓

Solve the equation to find all of the complex solutions and that means that equation will be always true.

Hope this helped : )

Answer:

D -5 less than or equal to y less than or equal to -1.

Step-by-step explanation:

the rang is the y-axis the equation has ys from -5 to -1 so -5to y to -1.

Answer:

A positive 11

Step-by-step explanation:

11 is your answer

Answer:

A. -80

B. 60

C. 98

D. -54

Step-by-step explanation:

ez give brainliest pls

Answer:

<6 and <8

<1 and <7

Step-by-step explanation:

Supplementary are angles that add up to 180 degrees. (A straight line)

Answer:

C.   6°C

Step-by-step explanation:

-3°C + 9°C = 6°C

Answer:

The answer is -8

Step-by-step explanation:

Subtracting 8x from both sides to get Y by itself, you would get

Y= -8X + 10, and we know that y=mx+b, where M is the slope, therefore -8 is M and the slope is -8.

Answer:

y = -8x + 10

Step-by-step explanation:

Just move the 8x to the other side of the equation. hope you finish