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Amanda [17]
3 years ago
14

A polynomial is to be constructed that will touch the x axis at most 8 times. What is the minimum degree of the polynomial?

Mathematics
1 answer:
Harman [31]3 years ago
7 0
The maximum number of roots to a polynomial of order n is n roots. Take the example of a quadratic (order 2) which can intersect the x-axis a maximum of 2 times, and similarly a cubic (order 3) 3 times maximum.

Hence for 8 intersections, minimum order = 8
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A volleyball player spikes the ball from a height of 8 feet at 72 feet per second. To the nearest hundredth of a second, how lon
poizon [28]

Answer:

0.1 seconds

Step-by-step explanation:

h = 8 - 72t - 16t^2

The ball hits the ground when h=0

8 0
3 years ago
What is the answer fractions
Yanka [14]
I) 5/30 is equal to 1/6

J) 20/35 equal to 4/7

K) 4/16 is equal to 1/4
 
L) 14/21 equal to 2/3

So how I got these answer is to look at the denominator or bottom number they gave u and then think what times what equals that answer for example 4/16
4x 4 =16 right! so then then what is 4 divided by 4 = 1 because what u do to the top u do to the bottom  
3 0
3 years ago
A car is traveling at 78 miles per hour in a zone with a speed limit of 60 miles per hour. A police officer writes a ticket whic
OLga [1]

Answer:

Final cost of ticket = $205

Step-by-step explanation:

Speed limit is given: 60 miles per hour

Car travelling at a speed of: 78 miles per hour

Car is exceeding speed limit by: 78 - 60 = 18 miles per hour

We are given that the dine ticket includes $25 plus $10 for each mile over the speed limit:

Final cost of ticket = $25 + (miles over speed limit * 10)

= 25 + (18*10)

= 25 + 180 = $205

5 0
3 years ago
Here, thankyou!!!!!!!
FromTheMoon [43]

Answer:

Perimeter of i - 22CM

Area of i - 13CM^2

Perimeter of ii -38CM

Area of ii -66CM^2

Perimeter of iii -30CM

Area of iii- 42CM^2

Perimeter of iv - 50CM

Area of iv- 126CM^2

Step-by-step explanation:

SHAPE I:

PERIMETER = S + S + S + S + S +S

= 7 + 1 + 5 +3 +4 +2

= 22CM

AREA = Part a - 4 * 2 = 8cm^2 part B - 5 *1 = 5cm^2

Total = 8 + 5 = 13cm^2

SHAPE II:

PERIMETER = S + S + S + S + S +S

= 4 + 4 +5 + 6 + 9 + 10

= 38 CM

AREA = Part a - 5 * 10 = 50 cm^2 part B - 4 *4 =16 cm^2

Total = 50+16 =66 cm^2

SHAPE III:

PERIMETER = S + S + S + S + S +S

= 9 + 2 + 3 + 4 + 6 + 6

= 30CM

AREA = Part a - 6 * 6 = 42cm^2 part B - 3 * 2= 6cm^2

Total = 36 + 6 =42 cm^2

SHAPE IV:

PERIMETER = S + S + S + S + S +S

= 9 + 10 + 4 + 6 + 6 + 15

= 50 CM

AREA = Part a -15 * 6 = 90 cm^2 part B - 9 *4 = 36cm^2

Total = 90 + 36 = 126cm^2

HOPE THIS HELPED

6 0
3 years ago
Need to find shaded area of figure please help!
devlian [24]

Answer:

39 ft^2

Step-by-step explanation:

Find the area of the triangle and subtract the area of the square.

area of triangle = bh/2

area of square = s^2

shaded area = bh/2 - s^2

shaded area = (20 ft)(16 ft)/2 - (11 ft)^2

shaded area = 160 ft^2 - 121 ft^2

shaded area = 39 ft^2

7 0
3 years ago
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