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2 years ago

-2x+y=1.3 2(0.5x-y)=4.6

1 answer:

6 0

1 Solve for yy in -2x+y=1.3−2x+y=1.3How?
y=1.3+2xy=1.3+2x
2 Substitute y=1.3+2xy=1.3+2x into 2(0.5x-y)=4.62(0.5x−y)=4.6How?
2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6
3 Solve for xx in 2(-1.5x-1.3)=4.62(−1.5x−1.3)=4.6How?
x=-2.4x=−2.4
4 Substitute x=-2.4x=−2.4 into y=1.3+2xy=1.3+2xHow?
y=-3.5y=−3.5
5 Therefore,
x=-2.4x=−2.4
y=-3.5y=−3.5

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The subsets of the real numbers can be represented in a Venn diagram as shown. To which subset of real numbers does −2π belong?

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Answer:

Step-by-step explanation:

Whole numbers are the basic counting numbers: $0,\ 1,\ 2,\ 3,\ 4, \....$

Integers are whole numbers and negative numbers: $...,\ -2,\ -1,\ 0,\ 1,\ 2,\ ...$

Rational numbers are all fractions $\frac{m}{n},$ where m is an integer and n is a natural number.

Irrational numbers are all real numbers that are not rational.

Number $\pi$ is irrational number (it is not counting number, so it is not whole number, not integer number), it cannot be represented as a fraction, so it is not rational number, thus this number is irrational number.

The product of integer number -2 by irrational number $\pi$ is irrational number $-2\pi$

Correct option - option D

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2 years ago

Use the binomial theorem to ﬁnd the coeﬃcient of xayb in the expansion of (5x2 + 2y3)6, where a) a = 6, b = 9. b) a = 2, b = 15.

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Answer:

Step-by-step explanation:

1 1

1 2 1

1 3 3 1

1 4 6 4 1

1 5 10 10 5 1

1 6 15 20 15 6 1

we use these for the expansion of (5x² + 2y³)⁶

1(5x²)⁶(2y³)⁰ + 6(5x²)⁵(2y³)¹ + 15(5x²)⁴(2y³)² + 20(5x²)³(2y³)³+ 15(5x²)²(2y³)⁴+ 6(5x²)¹(2y³)⁵ + 1(5x²)⁰(2y³)⁶

78125ₓ¹²+187500ₓ¹⁰ y³ +37500ₓ⁸y⁶+20000ₓ⁶y⁹+6000x⁴y¹²+960x²y¹⁵+2y¹⁸

a.)a = 6, b = 9. the coeﬃcient of xᵃyᵇ ( 20000ₓ⁶y⁹) = 20000

b) a = 2, b = 15. the coeﬃcient of xᵃyᵇ ( 960x²y¹⁵) = 960

c) a = 3, b = 12. the coeﬃcient of xᵃyᵇ is not present

d) a = 12, b = 0 the coeﬃcient of xᵃyᵇ ( 78125ₓ¹²) = 78125

e) a = 8, b = 9. the coeﬃcient of xᵃyᵇ is not present

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2 years ago

A researcher is investigating whether a difference exists in the mean weight of green-striped watermelons grown on two different

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Answer: The correct option is d

Step-by-step explanation:

Standard error measures how far the sample mean is from the population mean.

The formula for determining the standard error of the distribution of difference in means is expressed as

Standard error = √(s1²/n1 + s2²/n2)

where

s1 = sample 1 standard deviation

s2 = sample 2 standard deviation

n1 = number of samples 1

n2 = number of samples 2

From the information given

s1 = 2 pounds

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