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3 years ago

An antelope can run at a speed of 61 miles per hour. What is the speed in yards per second

Mathematics

1 answer:

jekas [21]3 years ago

8 0

0.489 yards per second

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I REALLY NEED HELP WORTH 10 POINTS URGENT!!!!!

polet [3.4K]

Answer:

$(f\circ g)(4)=31$

Step-by-step explanation:

<u>Composite Function</u>

Given f(x) and g(x) real functions, the composite function named fog(x) is defined as:

$(f\circ g)(x)=f(g(x))$

For practical purposes, it can be found by substituting g into f.

We have:

$f(x)=3x+1$

$g(x)=x^2-6$

Computing the composite function:

$(f\circ g)(x)=f(g(x))=3(x^2-6)+1$

Operating:

$(f\circ g)(x)=3x^2-18+1$

Operating:

$(f\circ g)(x)=3x^2-17$

Now evaluate for x=4

$(f\circ g)(4)=3(4)^2-17=48-17$

$\boxed{(f\circ g)(4)=31}$

8 0

3 years ago

Solve the expression for x: (17 – 5) (x + 6) = 3x – 12

patriot [66]

(17-5)(x+6)-(3x-12)=0

12(x+6)-(3x-12)=0

12x-(3x-12)+72=0

12x-3x+12+72=0

9x+84=0

9x=-84

x=9+1/3

7 0

3 years ago

Can someone help me with this question

Vera_Pavlovna [14]

Answer:

200 kids

Step-by-step explanation:

4 0

3 years ago

The point V(-5, 6) is rotated 180° counterclockwise around the origin. What are the coordinates of the resulting point, V′?

zubka84 [21]

Answer:

V'(5, - 6)

Step-by-step explanation:

V(-5, 6)

For a counterclockwise rotation at 180°about the origin ;

The point (a, b) becomes - - - - > (-a, - b)

Therefore,

If ; V(-5, 6) is rotated 180° counterclockwise about the origin, we have ;

V(-5, 6) - - - - > V'(5, - 6)

8 0

3 years ago

During a football game the ball is placed 20 yards and 2 feet from the goal line how many feet from the goal line is the footbal

qaws [65]

Answer:62 feet

Step-by-step explanation:

1 yard=3 feet

20 yard=20 x 3=60 feet

20 yards=60 feets

20 yards and 2 feets=60 feet + 2 feet

20 yards and 2 feets=62 feet

7 0

3 years ago