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damaskus [11]
3 years ago
10

In the polynomial function below, what is the leading coefficient? F(x) = 1/4x⁵+8x-5x⁴-19

Mathematics
1 answer:
Mariulka [41]3 years ago
8 0

Answer:

Leading coefficient is the coefficient of the highest power of x.

x^5 is the highest power.

Therefore, leading coefficient = \frac{1}{4}

Option D

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A car takes 4 hours to reach a destination traveling at a speed of 63 km/h. How long will it take to cover the same distance if
Gre4nikov [31]

Answer:

It will take 4.5hrs to cover the same distance

The constant of variation,k=252

Step by step explanation

Given that,

speed =  \frac{distance}{time}

From the question

Time=4hr

Speed=63km

By substitution we obtain,

63=  \frac{distance}{4}

Cross multiplying we get,

distance=63 \times 4

distance=252km

Now,

speed=56km

Distance Covered=252km

By substitution:

We obtain,

56= \frac{252}{time}

Cross multiply

56\times  time=252

Divide through by 56

time= \frac{252}{56}

time=4.5hrs

From the formula,

speed= \frac{distance}{time}

Which means that, speed and time varies inversely.

speed\propto \frac{1}{time}

Let k be variation constant

This implies that

speed = k \times  \frac{1}{time}

k=speed \times{time}

Taken,

Time=4hrs

speed=56km

k=56\times4

k=252

4 0
3 years ago
Line segment YZ was used to translate ABCDE. YZ is 6.2 inches long. What is the length of AA'+BB'+CC'+DD'+EE'?
tatyana61 [14]
The length is 31 inches
4 0
3 years ago
Rupali has a piece of string that is 5/8 hard long. She wants to cut the string into 4 equal pieces. How long should each piece
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4 0
3 years ago
Through (2, -1), perp. to y = -2x-3
kramer

9514 1404 393

Answer:

  y = 1/2x -2

Step-by-step explanation:

The given equation is in slope-intercept form, so you recognize its slope is -2. The perpendicular line will have a slope that is the opposite reciprocal of that, so is -1/-2 = 1/2.

The y-intercept can be found from ...

  b = y -mx . . . . . for line of slope m through point (x, y)

  b = -1 -(1/2)(2) = -1 -1 = -2

Then the slope-intercept equation of the perpendicular line is ...

  y = 1/2x -2

6 0
2 years ago
What is the length of segment BC
Nastasia [14]
If you form a triangle with the points B and C as two of the points of the right angled triangle then you use Pythagoras to find the length of BC.

3^2+4^2=25
√25 = 5
7 0
3 years ago
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