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2 years ago

what are polynomials abd how can we classify through identification of degree and leading coefficient

Mathematics

1 answer:

Ad libitum [116K]2 years ago

5 0

Answer:

A polynomial consists of the sum of distinct algebraic clumps (called terms), each of which consists of a number, one or more variables raised to an exponent, or both. The largest exponent in the polynomial is called the degree, and the coefficient of the variable raised to that exponent is called the leading coefficient.

Step-by-step explanation:

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2 years ago

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An animal shelter has 5 times as many cats as it has dogs. There are 75 cats at the shelter. If d= the number of dogs, which mat

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A. 5d=75
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2 years ago

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A zoo collected data on the diving times of turtles. Based on the data, the regression line is j = 0.010 + 2.515x, where x is th

mariarad [96]

Answer:

6.298 meters

Step-by-step explanation:

Here, we are told that x is the time of the dive in minutes.

We simply first need to convert 150 seconds to minutes before substitution into the regression formula;

Kindly recall that 60 seconds = 1 minute

So 150 seconds will be 150/60 = 2.5 minutes

We now proceed to substitute into;

j = 0.010 + 2.515(x)

i = 0.010 + 2.515(2.5)

j = 0.010 + 6.2875

j = 6.2975 which go 3 decimal places is 6.298 meters

7 0

3 years ago

The coordinates G(7,3), H(9, 0), (5, -1) form what type of polygon?

Marrrta [24]

Answer:

Is an acute triangle

Step-by-step explanation:

we know that

the formula to calculate the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}$

we have

G(7,3), H(9, 0), I(5, -1)

step 1

Find the distance GH

substitute in the formula

$d=\sqrt{(0-3)^{2}+(9-7)^{2}}$

$d=\sqrt{(-3)^{2}+(2)^{2}}$

$GH=\sqrt{13}\ units$

step 2

Find the distance IH

substitute in the formula

$d=\sqrt{(0+1)^{2}+(9-5)^{2}}$

$d=\sqrt{(1)^{2}+(4)^{2}}$

$IH=\sqrt{17}\ units$

step 3

Find the distance GI

substitute in the formula

$d=\sqrt{(-1-3)^{2}+(5-7)^{2}}$

$d=\sqrt{(-4)^{2}+(-2)^{2}}$

$GI=\sqrt{20}\ units$

step 4

Verify what type of triangle is the polygon

we know that

If applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$ ----> is a right triangle

$c^{2}> a^{2}+b^{2}$ ----> is an obtuse triangle

$c^{2}< a^{2}+b^{2}$ ----> is an acute triangle

where

c is the greater side

we have

$c=\sqrt{20}\ units$

$a=\sqrt{17}\ units$

$b=\sqrt{13}\ units$

substitute

$c^{2}= (\sqrt{20})^{2}=20$

$a^{2}+b^{2}=(\sqrt{17})^{2}+(\sqrt{13})^{2}=30$

therefore

$c^{2}< a^{2}+b^{2}$

Is an acute triangle

6 0

3 years ago

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A package of dental floss has 175 m of floss. Dr.Pierre bought 150 packages to give to his patients. How many metres of dental f

grandymaker [24]

The total length of the dental floss in 150 packages will be 26250 meters.

Explanation

A package of dental floss has 175 m of floss.

Suppose, the number of meters of dental floss in 150 packages is $x$

So, the equation according to the ratio of "number of packages" to "dental floss" will be.....

$\frac{1}{175}=\frac{150}{x}\\ \\ x= 175*150=26250$

So, the total length of the dental floss in 150 packages will be 26250 meters.

3 0

3 years ago

what are polynomials abd how can we classify through identification of degree and leading coefficient​

what are polynomials abd how can we classify through identification of degree and leading coefficient