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2 years ago

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

1 answer:

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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The height of an object launched into the air can be modeled by the graph shown.

wlad13 [49]

12525241561255.4252626 i DOnT know I wish I could help

3 0

2 years ago

Jane has a pre-paid cell phone with Splint. She can't remember the exact costs, but her plan has a monthly fee and a charge for

yan [13]

Answer:

The costs of the plan are $0.15 per minute and a monthly fee of $39

Step-by-step explanation:

Let

x ----> the number of minutes used

y ----> is the total cost

step 1

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the ordered pairs

(100,54) and (660, 138)

substitute

$m=\frac{138-54}{660-100}$

$m=\frac{84}{560}=\$0.15\ per\ minute$

step 2

Find the equation of the line in point slope form

$y-y1=m(x-x1)$

we have

$m=0.15\\point\ (100,54)$

substitute

$y-54=0.15(x-100)$

step 3

Convert to slope intercept form

Isolate the variable y

$y-54=0.15x-15\\y=0.15x-15+54\\y=0.15x+39$

therefore

The costs of the plan are $0.15 per minute and a monthly fee of $39

6 0

3 years ago

Find -11/15 if (n) =5n +6

Anestetic [448]

F(-11/5)=5(-11/5)+6
f(-11/5) = -11+6
<span>f(-11/5) = -5
Hope this helps!</span>

6 0

3 years ago

Can anyone help me with this math?

Gelneren [198K]

Answer:

126

Step-by-step explanation:

since b is 54 just subtract 54 from 180 to get a as they are in a sttaight line

5 0

2 years ago

Read 2 more answers

Five oranges were selected at random from a crate of 53 oranges. Their diameters were measured, in millimeters, and then recorde

Olin [163]

Ok so mean means average so exmple
mean of 1,2,3+5 would be (1+2+3+5)/4
(sum of terms)/(number of terms)=mean so

number of terms=5 since 5 oranges
sum=(46+39+53+61+49)

so mean=(46+39+53+61+49)/5=248/5=49.6

so the answer would be 49.6 (estimateed to be 50)

5 0

3 years ago

Read 2 more answers