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padilas [110]
4 years ago
11

Please help !! I would really appreciate it

Mathematics
1 answer:
Savatey [412]4 years ago
6 0

Answer:

Runner 1

Step-by-step explanation:

Runner 1's speed is the slope of the line = (20-0)/(2-0) = 10

Runner 2's speed is the slope of the line = 8.5 (the coefficient of t)

Runner 3's speed is slope = (36-18)/(4-2) = 9

The fastest pace, therefore is of runner 1, because 10>9 AND 10>8.5

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Write the equation of the line with a slope of 3/2 that contains the point (-2,-4) .
VARVARA [1.3K]

Answer:

y= 3/2x- 4

Step-by-step explanation:

3/2 = mx

b= -4

y=mx+b

8 0
3 years ago
The function h(t) = -16t2 + 48t + 28 models the height (in feet) of a ball where t is the time (in seconds).
Alex17521 [72]

Answer:

64

Step-by-step explanation:

<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have h'(t) = -32t + 48, which equals zero when t = 3/2 = 1.5. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.

<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.

5 0
3 years ago
Barrett works at an ice cream shop. The function f(x) represents the amount of money in dollars Barrett earns per gallon of ice
Paha777 [63]

Answer:

f(g(x))=6x^3} +4

Step-by-step explanation:

Given:

f(x)=2x^2+4\\\\g(x)=\sqrt{3x^3}

Required:

f(g(x))=?

Solution:

let f(g(x))=f(X), where X=g(x)

so f(X)=2X^2+4

put X=g(x)=\sqrt{3x^3}, we get

f(g(x))=2(\sqrt{3x^3} )^2+4

f(g(x))=2(\sqrt{3x^3} )^2+4\\\\f(g(x))=2({3x^3} )+4\\\\f(g(x))=6x^3} +4

5 0
3 years ago
BRAINLIEST !!!PLEASE HELP
cricket20 [7]

Marcella would not be able to win the competition because her kite string (159.75 feet) is less than 162 feet.

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let l represent the length of the string, hence:

sin(28) = 75/l

l = 159.75 feet

Marcella would not be able to win the competition because her kite string (159.75 feet) is less than 162 feet.

Find out more on equation at: brainly.com/question/2972832

#SPJ1

6 0
2 years ago
Please help asap &lt;3333333
SOVA2 [1]

Answer:

1: 75 degrees

2: 112 degrees

3: 125 degrees

4: 67 degrees

Step-by-step explanation:

4 0
3 years ago
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