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2 years ago

A hovercraft takes off from a platform it’s height (in meters), x seconds after takeoff, is modeled by

Mathematics

1 answer:

yulyashka [42]2 years ago

8 0

9514 1404 393

Answer:

81 m

Step-by-step explanation:

Since x is seconds after takeoff, the value of x at takeoff is 0. You are being asked to find H(0).

H(0) = -3(0 -3)^2 +108 = -3(9) +108 = 81

The height of the hovercraft at the time of takeoff is 81 meters.

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Debra travels a distance of 2 miles in 1 minute how much distance can she cover in 25 minutes

Marta_Voda [28]

Debra will travel 50 miles in 25 minutes

Step-by-step explanation:

Given

distance = 2 miles

Time = 1 minute

Other time = 25 minutes

We can use the proportions to find the number of miles debra will travel in 25 minutes

So,

$Distance:Time::Distance:Time\\2:1::Distance:25\\\frac{2}{1} = \frac{Distance}{25}\\Distance = 25 *2\\= 50\ miles$

Hence,

Debra will travel 50 miles in 25 minutes

Keywords: Proportion, rate

Learn more about proportion at:

#LearnwithBrainly

8 0

3 years ago

Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. zero: 1, multiplicit

vfiekz [6]

Polynomial expression for the given conditions is formulated in the equation

y(x)=1*(x-2)^3(x-0)^2

The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as

According to the given condition

The given conditions to write the polynomial equations are as follows

Zero 2 and Multiplicity 3

Zero 0 and Multiplicity 2

Degree of polynomial expression = 5

The leading coefficient of polynomial expression = 1

Let us consider the polynomial equation has only one variable and hence in the general form we can write the equation of polynomial as follows

From the general form of polynomial expression as shown in equation (1) we can write

Polynomial expression for the given conditions is formulated in the equation

y(x)=1*(x-2)^3(x)^2-------(2)

So the polynomial for the conditions given in the question is expressed as

y(x)=1*(x-2)^3(x)^2

For more information on polynomials click on the link below:

brainly.com/question/15702527

#SPJ4

8 0

1 year ago

I added a screenshot of my question

Anastasy [175]

<h2>Answer:</h2>

$y=\frac{1}{3}x+4$

<h2>Explanation:</h2>

Slope-intercept form:

What the variables mean:

Y=the y axis

m=the slope

x=the x-axis

b=the y intercept (the point on the line that crosses the y-axis)

To Calculate the Slope:

1. Find any 2 points on the line

2. The number of units the second point is above the first is the numerator

3. The number of units the second point is to the right of the first is a denominator

(Please see the picture attached)

$y=\frac{1}{3}x+b$

To Find the Y-Intercept:

1. Find the point on the line that crosses the y-axis

(Please see the picture attached)

$y=\frac{1}{3}x+4$

5 0

3 years ago

Grapes are 2.55 per pound and on two separate occasions Dana went to the store to

fomenos

Answer: $11.48

Step-by-step explanation:

First of all, you have to multiply 3.25 by 2.55 because the grapes are 2.55 per pound. That makes 8.2875 for the first occasion. Next, you have to multiply 1.25 by 2.55 for the second occasion. That makes 3.1875. You then have to add 8.2875 and 3.1875. You get 11.47500, and that rounded to the nearest cent is $11.48.

8 0

2 years ago

X -3y = -13 and 4x + 2y = 4

Illusion [34]

Answer: x=−1 and y=4

Step-by-step explanation:

5 0

3 years ago