I need the answers please

Hurry! A FedEx freight truck carries three tons of packages 660 miles on 90 gallons of diesel fuel from Miami, Fl to Atlanta, Ga

artcher [175]

(a) Truck carries 90 gallons of diesel fuel to 660 miles.

So, 1 gallon of diesel fuel to 660/90 = 22/3 miles.

30 gallons of diesel fuel to $30()\frac{22}{3}$ = 220 miles.

Hence, if x-axis represents the number of miles and y-axis represents the number of gallons, then, (660, 90) and (220, 30) are points on the graph.

Join (660, 90) and (220, 30), we get the graph of a line.

Note that (0, 0) is also a point on the line.

Equation of the line is $y=\frac{22}{3} x$ .

(b) x represents the number of miles. Therefore, the possible values for x is the closed interval [0, 660].

Hence, the domain of the function is [0, 660].

(c) Origin represents that the truck is not moving and there is no diesel fuel loaded in the truck.

7 0

3 years ago

What is the radius of a circle with a center at (3,2) and a point on the circle at (9,2)

7nadin3 [17]

Answer:

-The result for the radius:

$6 = r$

-The result for the equation of a circle:

$(x-3)^2+(y-2)^2=36$

Step-by-step explanation:

The equation of a circle is:

$(x-h)^2+(y-k)^2=r^2$ where the center is represented as $(h,k)$ , the point is known as $(x,y)$ , and the radius is represented as $r$ .

-Use the center (3,2) and the point (9,2) for the equation:

$(9-3)^2+(2-2)^2=r^2$

-Then, solve the equation to find the radius:

$(9-3)^2+(2-2)^2=r^2$

$(6)^2+0=r^2$

$36 =r^2$

$\sqrt{36} = \sqrt{r^2}$

$6 =r$

So, the radius is 6.

4 0

3 years ago

Name all sets of numbers to which each number belongs 1) -15 2) 11 3) square root of 30 4) 17/3 5) 6 6) 0 7) -13 8) 3 9) 10/11 1

nikdorinn [45]

The numbers belongs to the following number sets

1. -15 belongs to integers

2. 11 belongs to prime

3. rational number

4. rational number

5. composite number

6. whole number

7. Integers

8. whole numbers

9. rational numbers

10. whole numbers

11. Integers

12. rational number

13. rational number

14. rational number

15. whole number

16. integer

17. integer

18. whole number

19. integer

What are Number sets?

Number sets can be defined as group of numbers that have definite structural properties.

The sets of numbers given above has various properties which enabled its identification. Number sets can be integers, whole numbers, real numbers, complex numbers and many more.

In conclusion, the properties of each numbers enables us to identify its set.

Learn more about Number Sets: brainly.com/question/1871587

#SPJ4

3 0

1 year ago

What is the equation of the following line? (0,0) (-2,-3)

Alexus [3.1K]

Assuming you want the slope, the answer is -2/-3.

X-change: -2

Y-change: -3

X-c/Y-c = -2/-3

If -2/-3 is not an answer, try 2/3 or .666 (infinite 6s).

7 0

4 years ago

Solve each system using elimination.

IceJOKER [234]

7. 4x+y=8 ----- first equation
(+)
-3x-y=0
_______
x = 8 ---- second equation

substitude second equation into first equation

4(8) + y = 8
32 + y = 8
y = 24

8. 2x+5y=20 ---- first equation
(-)
2x-5y =3
________
10y = 17
y = 17/10 ---- second equation

substitude second equation into first equation

2x + 5(17/10) = 20
2x + 17/2 = 20
4x + 17 = 40
4x = 23
x = 23/4

9. 3x+2y=-10 (×2) ---- first equation
2x-5y=3 (×3)

6x + 4y = - 20
(-)
6x - 15y = 9
___________
19y = - 29
y = - 29/19 ---- second equation

substitude second equation into first equation

3x + 2(-29/19) = - 10
3x - 58/19 = - 10
3x = - 132/19
x = - 44/19

5 0

3 years ago