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3 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 length of a rectangular prism is 1.5 feet. Its width is 7 feet and its height is 6.2 feet. So the volume of the prism is 65.

Alexxandr [17]

7 * 6.2 * 1.5 = 65.1

the answer is True

5 0

3 years ago

The aspect ratio of a rectangular shape is its length (L) divided by its width (W). It is expressed as L:W or L/W. If the aspect

klio [65]

Answer:21

Step-by-step explanation:12 times three is 36 and 7 times 3 is 21

3 0

3 years ago

Francine has a picture that is 5/2 its width. She wants to enlarge the picture to have an area of 490 in2. What will the dimensi

serg [7]

Answer:

Length = 2w

Width= w

2w times w= 241

2W^2=241

Divide by 2

W-^2=121

Sq rt each side

W-= 11 cuz 11 times 11=121

hope this helped

If it did, brainliest would be appreciated!

5 0

3 years ago

Rahul solved the equation 2(x – ) – 2 left-parenthesis x minus StartFraction 1 Over 8 EndFraction right-parenthesis minus StartF

VladimirAG [237]

Answer:

Step 3

Step-by-step explanation:

The solution is given in the image attached. The steps are:

Step 1:

$2x-\frac{1}{4} -\frac{3}{5}x=\frac{55}{4}$

Step 2: simplifying the coefficients of x:

$2x -\frac{3}{5}x-\frac{1}{4}=\frac{55}{4}\\\frac{10x-3}{5} -\frac{1}{4}=\frac{55}{4}\\\frac{7x}{5} -\frac{1}{4}=\frac{55}{4}$

Step 3: Adding 1/4 to both sides

$\frac{7x}{5} -\frac{1}{4}+\frac{1}{4} =\frac{55}{4}+\frac{1}{4}\\ \frac{7x}{5}=\frac{55+1}{4}\\ \frac{7x}{5}=\frac{56}{4}\\$

Step 4: Multiplying both sides by 5/7

$\frac{7x}{5}*\frac{5}{7} =\frac{56}{4}*\frac{5}{7} \\x=10$

The addition property of equality states that if a number is added to both sides of an equation, the equation is still valid (i.e the equation is still the same). From the steps above, The addition property of equality was applied in step 3

4 0

3 years ago

Read 2 more answers

What is the ratio of 6 nickles to 3 dollars

sashaice [31]

<span>so quarters to nickels would be 4:20. simplified is 1:5</span>

7 0

3 years ago

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