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Softa [21]
3 years ago
9

A bird is flying 50 feet above the ground. If -20 describes a change in the bird's height, which of the following is true?

Mathematics
1 answer:
inessss [21]3 years ago
7 0

Answer:

The bird is 20 ft closer to the ground

Step-by-step explanation:

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Nataliya [291]
The answer is 12 which is a dozen
7 0
3 years ago
Please Help! 30 POINTS! Given the following three points, find by hand the quadratic function they represent. (−1,−8), (0,−1),(1
ycow [4]

Answer:

(1) B

(2) D

Step-by-step explanation:

(1)

Let the quadratic function be:

y = ax^{2} + bx + c

For the point, (0,-1),

y = ax^{2} + bx + c

-1=(a\times0)+(b\times0}+c\\-1=c\\c=-1

Then the equation is:

y = ax^{2} + bx -1

For the point (-1, -8) ,

y = ax^{2} + bx -1

-8=(a\times (-1)^{2})+(b\times -1)-1\\-8=a-b-1\\a-b=-7...(i)

For the point (1, 2) ,

y = ax^{2} + bx -1

2=(a\times (1)^{2})+(b\times 1)-1\\2=a+b-1\\a+b=3...(ii)

Add the two equations and solve for <em>a</em> as follows:

a-b=-7\\a+b=3\\\_\_\_\_\_\_\_\_\_\_\_\_\_\_\\2a = -4\\a = -2

Substitute <em>a</em> = -2 in (i) and solve for <em>b</em> as follows:

a-b=-7\\-2-b=-7\\b=5

Thus, the quadratic function is:

f(x)=-2x^{2}+5x-1

The correct option is (b).

(2)

The ordered pairs are:

(5, 7), (7, 11), (9, 14), (11, 18)

Represent them in an XY table as follows:

X : 5 | 7 | 9 | 11

Y : 7 | 11 | 14 | 18

Compute the difference between the <em>Y</em> values as follows:

Diff = 11 - 7 = 4

Diff = 14 - 11 = 3

Diff = 18 - 14 = 4

Now compute the difference between the Diff values:

d = 3 - 4 = -1

d = 4 - 3 = 1

Since the differences between the differences of the y-values is not consistent, the ordered pairs do not represent a quadratic equation.

The correct option is D.

8 0
3 years ago
For the point P(6,8) and Q(11,11), find the distance d(P,Q) and the coordinates of the
devlian [24]

Answer:

The distance of PQ =  \sqrt{34}

Step-by-step explanation:

<u><em>Explanation:-</em></u>

Given that the points are P(6,8) and Q(11,11)

Distance formula

              PQ = \sqrt{x_{2}-x_{1} )^{2} +(y_{2} - y_{1})^{2}   }

                    =  \sqrt{11-6)^{2} +(11-8)^{2}   }

                   = \sqrt{(5)^{2}+(3)^{2}}   }

                  =  \sqrt{25+9}

                = \sqrt{34}

4 0
3 years ago
taylor was really bored on a friday night, so she rolled a die 100 times. she rolled a " 6" twenty-seven times. what is the theo
Brrunno [24]
Answer:
27/100
Explanation:
If she rolled the die 100 times and landed on 6 27 times then the theoretical probability of rolling a 6 would be 27/100
Hope this helps!
3 0
2 years ago
How to calculate rational numbers ​
Anuta_ua [19.1K]

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hi my lil bunny!

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

The simplest method to find a rational number between two rational numbers x and y is to divide their sum by 2.

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

8 0
3 years ago
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