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1 year ago

Determine the leading coefficient c of the polynomial given that the graph goes through the point (5,100)

Mathematics

1 answer:

Ulleksa [173]1 year ago

3 0

The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.

<h3>What do a polynomial's leading term and leading coefficient mean?</h3>

The term with the highest power of x is the leading term in a polynomial.
As an illustration, the leading term in 7+x3x2 is 3x2. A polynomial's leading coefficient is the coefficient of the leading term. The leading coefficient in the aforementioned illustration is 3.

We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).

Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)

Substituting f(x) = 100 and x = 5,

100 = c(4)(6)(3)

100 = c72

c= 1.38

Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.

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A pair of shoes is on sale for 15% off. With this discount, customers will save $9 if they buy the shoes .In this situation, wha

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Answer:

$9 is the part, 15% is the percent, and $60 is the whole.

Step-by-step explanation:

$9 is %15 of the whole. This means $9 is the part, 15% is the percent, and the whole is the total cost of the shoes after the discount. The total cost of the shoes after the discount is 60.

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3 years ago

Ty worked 4 hours and earned $28. At this rate, how much would he earn in 9 hours?

lora16 [44]

Answer:

Step-by-step explanation:

Ty worked 4 hours ad earned $28. This means that he earned $7 per hour. So, 7 times 9 is equal to 63. Which means that Ty will earns $63 in 9 hours.

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3 years ago

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Find the values of x and y in the diagram below.<br> 86°<br> (4x - 7)°<br> (7y - 1)<br> (9x + 4)

Aneli [31]

The value of x in the diagram is 15° and the value of y is 6°

Please find attached the diagram used in answering this question

The figure given is a triangle. A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees

The first step is to determine the value of x.

The value of x can be determined using the exterior angle.

The sum of the two interior opposite angles in a triangle is equal to the external angle

(4x - 7)° + 86° = (9x + 4)°

Combine similar terms

9x - 4x = 86 - 7 - 4

5x = 75

x = 15°

To determine the value of y, first substitute for the value of x in the angle (4x - 7)°

(4x - 7)° = (4x15) - 7 = 53°

The sum of angles in a triangle add up to 180°

53° + 86 + (7y - 1) = 180°

add like terms

138 + 7y = 180

7y = 42

y = 6°

To learn more, please check: brainly.com/question/23688688?referrer=searchResults

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3 years ago

Choose whether it's always, sometimes, never

Keith_Richards [23]

Answer: An integer added to an integer is an integer, this statement is always true. A polynomial subtracted from a polynomial is a polynomial, this statement is always true. A polynomial divided by a polynomial is a polynomial, this statement is sometimes true. A polynomial multiplied by a polynomial is a polynomial, this statement is always true.

Explanation:

The closure property of integer states that the addition, subtraction and multiplication is integers is always an integer.

If $a\in Z\text{ and }b\in Z$ , then a+b\in Z.

Therefore, an integer added to an integer is an integer, this statement is always true.

A polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we subtract the two polynomial then the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

If a polynomial divided by a polynomial then it may or may not be a polynomial.

If the degree of numerator polynomial is higher than the degree of denominator polynomial then it may be a polynomial.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{f(x)}{g(x)}=x^2+5$ , which a polynomial.

If the degree of numerator polynomial is less than the degree of denominator polynomial then it is a rational function.

For example:

$f(x)=x^2-2x+5x-10 \text{ and } g(x)=x-2$

Then $\frac{g(x)}{f(x)}=\frac{1}{x^2+5}$ , which a not a polynomial.

Therefore, a polynomial divided by a polynomial is a polynomial, this statement is sometimes true.

As we know a polynomial is in the form of,

$p(x)=a_nx^n+a_{n-1}x^{x-1}+...+a_1x+a_0$

Where $a_n,a_{n-1},...,a_1,a_0$ are constant coefficient.

When we multiply the two polynomial, the degree of the resultand function is addition of degree of both polyminals and the resultant is also a polynomial form.

Therefore, a polynomial subtracted from a polynomial is a polynomial, this statement is always true.

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kykrilka [37]

Answer:c

Step-by-step explanation:

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