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MrRa [10]
3 years ago
10

Graph the function f(x)=6x^5+8x^4-7x^3-5x^2+10 by making a table of values.

Mathematics
1 answer:
Komok [63]3 years ago
5 0

Answer:

Step-by-step explanation:

A fifth-grade polynomial requires a minimum of 6 different points to create an adequate graph. Let is X the dominion of the polynomial, such that 0, 1, 2, 3, 4, 5 \in X. The values of the function for each value are calculated herein:

x = 0

f(0) = 6\cdot 0^{5}+8\cdot 0^{4}-7\cdot 0^{3}-5\cdot 0^{2}+10

f(0) = 10

x = 1

f(1) = 6\cdot 1^{5}+8\cdot 1^{4}-7\cdot 1^{3}-5\cdot 1^{2}+10

f(1) = 12

x = 2

f(2) = 6\cdot 2^{5}+8\cdot 2^{4}-7\cdot 2^{3}-5\cdot 2^{2}+10

f(2) = 254

x = 3

f(3) = 6\cdot 3^{5}+8\cdot 3^{4}-7\cdot 3^{3}-5\cdot 3^{2}+10

f(3) = 1882

x = 4

f(4) = 6\cdot 4^{5}+8\cdot 4^{4}-7\cdot 4^{3}-5\cdot 4^{2}+10

f(4) = 7674

x = 5

f(5) = 6\cdot 5^{5}+8\cdot 5^{4}-7\cdot 5^{3}-5\cdot 5^{2}+10

f(5) = 22760

The table is now presented:

 x                 y

 0                10

 1                 12

 2               254

 3               1882

 4               7674

 5              22760

Finally, the graphic is now constructed by using an online tool (i.e. Desmos). The image is included below as attachment.

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Charlotte drives 64 mph for the first 3 hours of her trip and 92 mph for last 4 hours.
german

Answer:

80 mph

Step-by-step explanation:

\boxed{\sf Distance=Speed \times Time}

<u>First leg of trip</u>

  • Speed = 64 mph
  • Time = 3 hours

\implies \sf Distance =64\times 3 = 192\:miles

<u>Second leg of trip</u>

  • Speed = 92 mph
  • Time = 4 hours

\implies \sf Distance=92 \times 4 = 368\:miles

\boxed{\sf Speed=\dfrac{Distance}{Time}}

To find the average speed:

\begin{aligned}\implies \sf Average\:speed & = \sf \dfrac{Total\:distance}{Total\:time}\\\\ & = \sf \dfrac{192+368}{3+4}\\\\& = \sf \dfrac{560}{7}\\\\ & = \sf 80\:mph\end{aligned}

6 0
1 year ago
Read 2 more answers
The point g (2,2) is translated 3units to the right and 4units up what are the coordinates of this resulting point, g?
Svetlanka [38]

Answer:

(5,6)

Step-by-step explanation:

<em>Generally, is the coordinate (x,y) is translated right by a units and up by b units, the resulting coordinate wil be;</em>

g(X, Y)  = (x+a, y+b)

To the right is along the positive x axis while up is along the positive y axis

Given a = 3 and b = 4

g(X,Y) = (2 + 3, 2 + 4)

g(X, Y) = (5, 6)

Hence the resulting coordinate of g is (5,6)

7 0
2 years ago
1. M is the midpoint of LN and O is the midpoint of NP.
Reptile [31]
1. M is the midpoint of LN and O is the midpoint of NP. This makes the triangle MNO equal to half of LNP. Then you can get this equation
MO= (1/2) LP

If you insert MO = 2x +6 and LP = 8x – 20 the calculation would be:
2x+6= (1/2)( 8x-20)
2x+6= 4x-10
2x-4x= -10 - 6
-2x= -16
x=8

2. Centroid is the point that intersects with three median lines of the triangle. The centroid should divide the median lines into 1:2 ratio. In AC lines, A located in the base so A.F:FC would be 1:2

Then, the answer would be:
A.F= 1/(1+2) * AC
A.F= 1/3 * 12= 4

FC= 2/(1+2) * AC
FC= 2/3 * 12= 8

3. Since
∠BAD=∠DAC
∠ABD=∠ACD
AD=AD
The triangle ABD and ACD are similar. You can get this equation
BD=DC
x+8= 3x+12
x-3x= 12-8
-2x=4
x=-2

DC=3x+12= 3(-2) +12= 6

4. Orthocenter made by intersection of triangle altitude
A
BC lines slope would be (-4)-(-1)/1-4= -3/-3= 1. The altitude line slope would be -1, the function would be:
y=-x +a
0= 1+a
a=-1
y=-x-1
B
AC lines slope would be (-4)-(-1)/1-0= -3. The altitude line slope would be 1/3, the function would be:
y=1/3x+a
-1=1/3(4)+a
a=-7/3
y=1/3x - 7/3

C
BC lines slope would be (-1)-(-1)/4 = 0/4. 
The line would be 
0=x+a
a=-1
0=x-1
x=1

y=-x-1 = 1/3x-7/3
-x-(1/3x)=-7/3 +1
-4/3x= -4/3
x=1

y=-x-1
y=-1-1= -2
The orthocenter would be (1,-2)

5. 
a. Circumcenter: the intersection of perpendicular bisector lines<span>
b. Incenter: the intersection of bisector lines
c. Centroid: </span>the intersection of median lines<span>
d. Orthocenter: </span>the intersection of altitude lines
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PLS anwser this simple question
MakcuM [25]

Answer:

It's A) 2b+24x

Step-by-step explanation:

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2 years ago
How many meters does 20 yards equal
Yuliya22 [10]

Answer:


Step-by-step explanation:One yard equals 0.9144 meter. Therefore 20 yards = 20 * 0.9144 = 18.288 meters


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