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just olya [345]
3 years ago
13

What is the factored form of x3 + 64?

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Option B, (x+4)(x^2-4x+16)

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What is the slope of the line passing through the points (2,5) and (0,-4)?
Lemur [1.5K]

Answer:

9/2

Step-by-step explanation:

8 0
3 years ago
I dont understand this, can i get some help please
Ray Of Light [21]

When we want to find the roots of a one-variable function, we look for where its graph intersects the x-axis. In this case, the graph intersects the x-axis at x=1.

The vertex of a parabola is the highest or lowest point on it, depending on whether the leading coefficient of the quadratic function is negative or positive. In this case, we see that the lowest point is (1,0).

For the y-intercept, just look for where the graph intersects the y-axis; in this case, that point is (0,1).

Using this information, the vertex-form equation of the parabola is y=1\cdot(x-1)^2+0, so the factors are two copies of x-1. In this case, the value of a in the equation y=a(x-h)^2+k was conveniently 1; if that's not the case, you'll want to plug in x=0 to solve for the value of a that gives the correct y-intercept.

Does that help clear things up?

3 0
3 years ago
Joe has some pocket money. He spends 90% of it. He has fifty pence left. How much pocket money did he have?
nirvana33 [79]
£5 g g ft vygtvtfyddtvtv ygydjdh3s
8 0
3 years ago
The angle of depression from the top of a building to a point
AleksandrR [38]

The distance between point on the ground from the top of the building is 396 meter, if the building is 280 m high and The angle of depression from the top of a building to a point  on the ground is 45 degrees.

Step-by-step explanation:

The given is,

                 The angle of depression from the top of a building to a point  on the ground is 45 degrees.

                 Height of the building is 280 meter.

Step: 1

                 Given diagram is a right angled diagram,

                 For right angle triangle,

                              90° = 45° + 45°    

                                     = 90°  

                 Trignometric ratio,

                            sin ∅ = \frac{Opp}{Hyp}....................(1)

                For the above ratio take the bottom angle, that is angle of depression from the top of a building to a point  on the ground is 45 degrees.

                 Where, Opp side = 280 meters

                               Hyp side = x

                                           ∅ = 45°

                 Equation (1) becomes,

                                  sin 45° = \frac{280}{x}

                          0.70710678 =  \frac{280}{x}

                                            x =  \frac{280}{0.70710678}

                                            x = 395.979

               Distance between point on the ground from the top of the building,  x ≅ 396 meter                                                

                Trignometric ratio,

                                     cos ∅ = \frac{Adj}{Hyp}

                                   Cos 45 = \frac{Adj}{396}

                                         Adj = (0.70710678)(396)

              Bottom length, Adj = 280 meter

Result:

           The distance between point on the ground from the top of the building is 396 meter.

8 0
4 years ago
Student Debt – Vermont: The average student loan debt of a U.S. college student at the end of 4 years of college is estimated to
mezya [45]

Answer:

The confidence interval is (24116.3878,24883.6122).

Step-by-step explanation:

We are given the following information in the question:

Population mean, \mu = $23,500

Sample mean,\bar{x} = $24,500

Sample standard deviation,s = $2,800

Sample size, n =  146

Confidence interval:

\bar{x} \pm t_{critical}\frac{s}{\sqrt{n}}  

Putting the values, we get,

t_{critical}\text{ at}~\alpha_{0.05} = \pm 1.655436

24500 \pm 1.65543(\frac{2800}{\sqrt{146}} ) = 24500 \pm 383.6122 = (24116.3878,24883.6122)

The confidence interval is (24116.3878,24883.6122).

5 0
3 years ago
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