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bixtya [17]
3 years ago
7

The table below represents the displacement of a horse from its barn as a function of time:

Mathematics
1 answer:
atroni [7]3 years ago
5 0

A. The y-intercept of the function is equal to the value of y when x = 0, so y = 8 ft

This means that the horse is already 8 ft away from the barn initially.

B. The average rate of change represents the slope of the equation. This can be calculated using the formula:

m = (158 – 58) / (3 – 1) = 50 ft / hour

C. Since we already have our y-intercept and slope, we can establish the line equation:

y = 50 x + 8

When y = 508 then x is,

508 = 50 x + 8

50 x = 500

x = 10 hours

It takes 10 hours to reach a displacement of 508 ft.

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4x + 3(4x + 7) = 4(7x + 3)​
Natasha2012 [34]

Answer: 1

Step-by-step explanation:4x + 3(4x + 7) = 4(7x + 3) + -3

Reorder the terms:

4x + 3(7 + 4x) = 4(7x + 3) + -3

4x + (7 * 3 + 4x * 3) = 4(7x + 3) + -3

4x + (21 + 12x) = 4(7x + 3) + -3

Reorder the terms:

21 + 4x + 12x = 4(7x + 3) + -3

Combine like terms: 4x + 12x = 16x

21 + 16x = 4(7x + 3) + -3

Reorder the terms:

21 + 16x = 4(3 + 7x) + -3

21 + 16x = (3 * 4 + 7x * 4) + -3

21 + 16x = (12 + 28x) + -3

Reorder the terms:

21 + 16x = 12 + -3 + 28x

Combine like terms: 12 + -3 = 9

21 + 16x = 9 + 28x

Solving

21 + 16x = 9 + 28x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-28x' to each side of the equation.

21 + 16x + -28x = 9 + 28x + -28x

Combine like terms: 16x + -28x = -12x

21 + -12x = 9 + 28x + -28x

Combine like terms: 28x + -28x = 0

21 + -12x = 9 + 0

21 + -12x = 9

Add '-21' to each side of the equation.

21 + -21 + -12x = 9 + -21

Combine like terms: 21 + -21 = 0

0 + -12x = 9 + -21

-12x = 9 + -21

Combine like terms: 9 + -21 = -12

-12x = -12

Divide each side by -12.

x = 1

Simplifying

x = 1

5 0
3 years ago
A farmer caught some wild pigs to use as founders for a domestic herd. The farmer wants all of her pigs to have one distinctive
nikdorinn [45]

Answer: Breed for black-haired pigs

Step-by-step explanation:

Now according to the statement, the farmer catches  wild pigs and mostly are brown.

Since black hair is dominant over brown and also black and brown are dominant over red,  this implies that red is the least dominant color meaning if breeding occurs, there would be less chance of getting red colored pigs.

She wants to breed either black or red haired pigs and since black is more dominant so she should breed the black ones with the brown ones or with themselves so she would eventually get pure-breeding herd i.e. of black color.

8 0
4 years ago
Can some one help me plzz!! No links!!​
Alona [7]
The answer is C.0,3 because One of Y equal 0 for X
5 0
3 years ago
WILL MARK BRAINLIEST!! PLZ HELP!!
olasank [31]

Answer:

The answer is D.

Step-by-step explanation:

When x=0, then y=300, so it has to be more than that.

When x=25, y=300, so it has to be less than that.

8 0
3 years ago
WHAT IS -(-2z+5y) HELP MY HOMEWORK IS DUE IN 50 MINUTES PLEASE
vampirchik [111]

Answer:

\boxed{ \bold{ \huge{ \boxed{ \sf{2z - 5y}}}}}

Step-by-step explanation:

\sf{ - ( - 2z + 5y)}

Distribute negative ( - ) sign through the parentheses

\sf{( - ) \times ( - 2z)  + ( - ) \times (5y)}

\dashrightarrow{ \sf{2z   + ( - 5y)}}

\dashrightarrow{ \sf{2z - 5y}}

Hope I helped!

Best regards! :D

7 0
4 years ago
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