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2 years ago

The degree of the polynomial 10x^(2)+2x^(m)y-4y is 3. What is the value of m?

Mathematics

1 answer:

Ksenya-84 [330]2 years ago

8 0

If the polynomial degree is 3, then the largest power with the variable(s) is 3.

We have:

$10x^2+2x^my-4y\\\Downarrow\\10x^2-2nd\ degree\\\\2x^my-(m+1)th\ degree\\\\-4y-1st\ degree$

Therefore m +1 = 3 → m = 2

<h3>Answer: 2</h3>

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A cosmetic company makes three bottles of scented lotion using the recipe shown. Each bottle holds a different amount of lotion.

seropon [69]

Answer:

Part 1) Bottle 1 (vanilla=1,almond=3,pineapple=4)

Part 2) Bottle 2 (vanilla=2,almond=6,pineapple=8)

Part 3) Bottle 3 (vanilla=1 1/2,almond=4 1/2,pineapple=6)

Step-by-step explanation:

Let

x ----> the amount of vanilla sent

y ----> amount of almond sent

z ----> the amount of pineapple sent

we know that

$x:y:z=\frac{1}{8}:\frac{3}{8}:\frac{1}{2}$

$\frac{x}{y}=\frac{1}{8}:\frac{3}{8}$

$\frac{x}{y}=\frac{1}{3}$

$x=\frac{y}{3}$ -----> equation A

$\frac{x}{z}=\frac{1}{8}:\frac{1}{2}$

$\frac{x}{z}=\frac{1}{4}$

$x=\frac{1}{4}z$ -----> equation B

$\frac{y}{z}=\frac{3}{8}:\frac{1}{2}$

$\frac{y}{z}=\frac{3}{4}$

$y=\frac{3}{4}z$ -----> equation C

Part 1) Bottle 1

vanilla=?

almond=?

pineapple=4

we have

$z=4$

Find the value of x

substitute the value of z in equation B

$x=\frac{1}{4}(4)$

$x=1$

Find the value of y

substitute the value of z in equation C

$y=\frac{3}{4}(4)$

$y=3$

therefore

Bottle 1

vanilla=1

almond=3

pineapple=4

Part 2) Bottle 2

vanilla=?

almond=6

pineapple=?

we have

$y=6$

Find the value of x

substitute the value of y in equation A

$x=\frac{6}{3}=2$

Find the value of z

substitute the value of x in equation B

$2=\frac{1}{4}z$

solve for z

$z=8$

therefore

Bottle 2

vanilla=2

almond=6

pineapple=8

Part 3) Bottle 3

vanilla=1 1/2

almond=?

pineapple=?

we have

$x=1\frac{1}{2}$

convert to an improper fraction

$x=1\frac{1}{2}=\frac{1*2+1}{2}=\frac{3}{2}$

Find the value of y

substitute the value of x in equation A

$\frac{3}{2}=\frac{y}{3}$

$y=\frac{9}{2}$

convert to mixed number

$y=\frac{9}{2}=\frac{8}{2}+\frac{1}{2}=4\frac{1}{2}$

Find the value of z

substitute the value of x in equation B

$\frac{3}{2}=\frac{1}{4}z$

$z=6$

therefore

Bottle 3

vanilla=1 1/2

almond=4 1/2

pineapple=6

5 0

2 years ago

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What's 362,584 rounded to the nearest ten thousand

dexar [7]

It's 360,000 because the ten thousands place is the 6 and number to the right is less than 5

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3 years ago

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1. The formula for the velocity of an object is d=v/t, where v is the object, d is the distance traveled, and t is the time the

Arlecino [84]

Answer:

you need to isolate t or time

you need to know distance between sun and earth and velocity of them in order to calculate how long it takes for light to travel from the Sun to Earth

Step-by-step explanation:

$t*(d)=(v/t)*t\\td= v\\\\\frac{td}{d} =v/d \\t=v/d$

to find time you multiply t to both sides then you cancel t from where velocity is and you get velocity by itself

now you mulipy d to both side to get v over d and time by itself

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What is 1,700 divided by 12?

svetoff [14.1K]

1,700 divided by 12 is 141.666666667

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What is 1.6 in fraction form?

viva [34]

As an improper fraction, it is $\frac{8}{5}$ .

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