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DanielleElmas [232]
3 years ago
11

A truck travels from a factory to a gas station in 3 minutes. It stops at the gas station for 2 minutes. The truck then returns

to the factory in 5 minutes. Which graph best represents the distance, y, in miles, of the truck from the factory after a certain amount of time, x, in minutes?
A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 3. The second straight line joins 2, 3 and 4, 3, and the third straight line joins ordered pair 4, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 2, 3. The second straight line joins 2, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y-axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 6, 3, and the third straight line joins ordered pair 6, 3 with the ordered pair 10, 0.
A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.
Mathematics
2 answers:
fgiga [73]3 years ago
6 0

Answer:

D

Step-by-step explanation:

OLga [1]3 years ago
4 0

Answer:

A graph shows Time in minutes along the x-axis and Truck’s distance from factory in miles along the y axis. The scales on the x- and y-axes are from 0 to 10 at increments of 1. There are three straight lines in the graph. The first line joins ordered pair 0, 0 with 3, 3. The second straight line joins 3, 3 and 5, 3, and the third straight line joins ordered pair 5, 3 with the ordered pair 10, 0.

Step-by-step explanation:

So, during the first 3 minutes, it reached the distance y. We are not given this distance or the truck's speed, so we can not calculate it, but we know that, in this period, the truck went from (0,0) to (3,y).

During the next two minutes, the truck didn't move, but the time passed. So, it went from (3,y) to (5,y).  

And finally, in the next five minutes, it returned to a factory, meaning that y=0, so it went from (5,y) to (10,0).

So, the answer that best fits this graph is D.

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Answer:

the shorter piece is 11 inches long

Step-by-step explanation:

x+2x=33in

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33/3 = 11 =x

8 0
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It can work well here to simplify inside parentheses first.

\displaystyle\left(\frac{4x^{-2}y^{2}}{12x^{-4}y^{-1}}\right)^{3}=\left(\frac{4}{12}x^{(-2-(-4))}y^{(2-(-1))}\right)^{3}\\\\=\left(\frac{x^{2}y^{3}}{3}\right)^{3}=\frac{x^{(2\cdot 3)}y^{(3\cdot 3)}}{3^{3}}\\\\=\frac{x^{6}y^{9}}{27}

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The graph below shows two functions: function f of x is a straight line which joins the ordered pairs negative 2.5, 9 and 2.5, n
weqwewe [10]
We are looking for the approximate solution of -2x+4=(0.25)^x, that is, we are looking for the solution of the equation f(x)=g(x).

The solution of this equation are represented by the intersecting points (x, y) of the graphs of these functions, because the intersecting points (x, y) are such that 

                    y=f(x), but also y=g(x).


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According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
HACTEHA [7]

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

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Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

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Number of roots = 6

Option (4)

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Degree of the polynomial = 10

Therefore, number of roots = 10

3 0
3 years ago
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