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galben [10]
3 years ago
8

Which of the following shows 9x^2y - 4x + 3y^3x - 2y^2 written in standard form? A. 9x2y - 4x + 3y3x - 2y2 B. 3y3x - 2y2 + 9x2y

- 4x C. 9x2y - 4x - 2y2 + 3y3x D. 3y3x + 9x2y - 2y2 - 4x
Mathematics
Mathematics
1 answer:
nlexa [21]3 years ago
6 0
D. 3 y^{3}x+9 x^{2} y-2 y^{2} -4x

Take each term and find the degree of the term and then put them in order from highest to lowest:
y^{3}x=3+1=4
x^{2} y=2+1=3
y^{2}=2
x=1

Remember a letter without an exponent is assumed to be a 1.

Hope that helps.
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A quadrilateral is a four sided polygon. True False
Viefleur [7K]
True

_____
"quad" is a prefix meaning 4.
"lateral" refers to sides.

"Quadrilateral" means "4-sided".
3 0
3 years ago
Read 2 more answers
In a certain community, 36 percent of the families own a dog and 22 percent of the families that own a dog also own a cat. In ad
zysi [14]

Answer:  a) 0.0792   b) 0.264

Step-by-step explanation:

Let Event D = Families own a dog .

Event C = families own a cat .

Given : Probability that families own a dog : P(D)=0.36

Probability that families own a dog also own a cat : P(C|D)=0.22

Probability that families own a cat : P(C)= 0.30

a) Formula to find conditional probability :

P(B|A)=\dfrac{P(A\cap B)}{P(A)}\\\\\Rightarrow P(A\cap B)=P(B|A)\times P(A)   (1)

Similarly ,

P(C\cap D)=P(C|D)\times P(D)\\\\=0.22\times0.36=0.0792

Hence, the probability that a randomly selected family owns both a dog and a cat : 0.0792

b) Again, using (2)

P(D|C)=\dfrac{P(C\cap D)}{P(C)}\\\\=\dfrac{0.0792}{0.30}=0.264

Hence, the conditional probability that a randomly selected family owns a dog given that it owns a cat = 0.264

5 0
3 years ago
Charlier is cutting a 10 3/8 foot piece of wood to make shelves for his bedroom. Does Charlie have enough wood to make four shel
Misha Larkins [42]
2 5/8 × 4 = 10 1/2

Charlie does not have enough wood because 10 1/2 is also equal to 10 4/8 and Charlie only has 10 3/8


hope this helped
7 0
3 years ago
Factor the expression<br> 3x^{2}+16x+5
jasenka [17]
(3x+1)(x+5)
Hehehhehehe
4 0
3 years ago
Read 2 more answers
Kayla needs $14,000 worth of new equipment for his shop. He can borrow this money at a discount rate of 10% for a year.
arlik [135]

Answer:

$15400

Step-by-step explanation:

Principle amount, P = $14000

Time, T = 1 year

Rate of interest, R = 10%

We know that maturity amount,

A = P\left (1+\frac{R}{100} \right )^{n}

where n is number of years

A = P\left (1+\frac{R}{100} \right )^{n}

A = 14000\left (1+\frac{10}{100}\right )^{1}

A = 14000\left (1+\frac{1}{10}\right )

A = 14000\left (\frac{11}{10}\right )

A = 15400

The maturity amount is $15400

6 0
3 years ago
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