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SpyIntel [72]
3 years ago
7

I need help on this pls

Mathematics
1 answer:
Varvara68 [4.7K]3 years ago
6 0

Answer:

Step-by-step explanation:

a). Given function is y = \frac{1}{2}x^3-2x+1

At x = -3,

y = \frac{1}{2}(-3)^3-2(-3)+1

y = -13.5 + 6 + 1

y = -6.5

For x = -2,

y = \frac{1}{2}(-2)^3-2(-2)+1

y = -4 + 4 + 1

y = 1

For x = 2

y = \frac{1}{2}(2)^2-2(2)+1

y = 4 - 4 + 1

y = 1

Therefore, table for the given function will be,

x       -3       -2       -1        0        1         2

y     -6.5       1      2.5      1       -0.5     1  

b). From the table given in part (a) we find the points lying on the graph are (-2, 1), (-1, 2.5) and (2, 1).

    These points justify the graph (C)

Therefore, graph (C) will be the answer.

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A person takes a trip, driving with a constant peed of 89.5 km/h, except for a 22.0-min rest stop. If the peron's average speed
Stolb23 [73]

Answer:

a) The person traveled 2.83 hours.

b) The person travels 220.17 kilometers.

Step-by-step explanation:

We have that the speed is the distance divided by the time. Mathematically, that is

s = \frac{d}{t}

(a) how much time is spent on the trip and

The peron's average speed is 77.8 km/h, which means that s = 77.8

The person distance traveled is:

22 min is 22/60 = 0.37h.

So for  the time t1, the person traveled at a speed of 89.5 km/h. Which has a distance of 89.5*t1.

For 0.37h, the person was at a stop, so she did not travel. This means that the total distance is

d = 89.5t1 + 0 = 89.5t1

The total time is the time traveling t and the stoppage time 0.37. So

t = t1 + 0.37

We want to find t1, which is the time that the person was driving.

So

s = \frac{d}{t}

77.8 = \frac{89.5t1}{t1 + 0.37}

77.8t1 + 77.8*0.37 = 89.5t1

11.7t1 = 28.786

t1 = \frac{28.786}{11.7}

t1 = 2.46

The total time is

t = t1 + 0.37 = 2.46 + 0.37 = 2.83

The person traveled for 2.83 hours.

(b) how far does the person travel?

The person traveled 2.46 hours at an average speed of 77.8 km/h. So

s = \frac{d}{t}

77.8 = \frac{d}{2.83}

d = 77.8*2.83 = 220.17

The person travels 220.17 kilometers.

8 0
3 years ago
Expand (x-2) (x-1). Must be in polynomial form.
Ludmilka [50]
To expand two terms such as these, we can use the method called FOIL (stands for First, Outer, Inner, Last). Here is what I mean:

We have two terms: (x - 2)(x - 1)

We should first multiply the First two terms of each term in order to complete the F stage:

(x)*(x) = x^{2}

So then, we take the two outer terms and multiply them together to complete the O stage:

(x)*(-1) = -x

So far we have two things that we have calculated; at the end of the FOIL process we will have four.

To keep going with the FOIL, we now multiply the two inner terms to complete the I stage:

(-2)*(x) = -2x

Last but not least, we need to complete the L stage - so we multiply the two last terms of each term:

(-2)*(-1) = 2

Now that we have our four terms, let us add them together and combine like terms:

x^{2}  + (-x) + (-2x) + 2

Since -x and -2x both have the x portion in common and they are added together, we can add them to create one single term:

-x + (-2x) = -3x

So now that we have our terms completed, we can combine into one polynomial equation:

x^{2} + (-3x) + 2 or x^{2} -3x+2
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B81%20%5Ctimes%208%7D%20" id="TexFormula1" title=" \sqrt{81 \times 8} " alt=" \sqr
laiz [17]

Answer:

Step-by-step explanation:

81 = 9 * 9 = 3 * 3 * 3 *3

8 = 2 * 2 * 2 *2

\sqrt{81 * 8 } = \sqrt{3*3*3*3*2*2*2}\\\\=3 * 3 * 2 \sqrt{2}\\\\= 18\sqrt{2}

6 0
2 years ago
How to solve 18-4t/.5=20
Damm [24]
Divide .5 4 then do the rest
7 0
2 years ago
Answer quick please
creativ13 [48]

Answer:

Its A dude

Step-by-step explanation:

6 0
3 years ago
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