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3 years ago

Raj was asked to fully simplify this polynomial and put it into standard form.

Mathematics

2 answers:

tatuchka [14]3 years ago

8 0

Answer:

6x³

Step-by-step explanation:

2x²y + 8x³ – xy² – 2x³ + 3xy² + 6y³=

6x³+2x²y+2xy²+6y³

natita [175]3 years ago

3 0

Step-by-step explanation:

The first term is 6x3

Because he subtracted like terms 8x3 and 2x3

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Write an expression for 327 fewer than the product of 120 and p.

ValentinkaMS [17]

good morning,

Answer

327 ≤ 120×p

3 0

2 years ago

In an accounting class of 200 students, the mean and standard deviation of scores was 70 and 5, respectively. Use the empirical

lina2011 [118]

Answer:

a. About 64

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 70

Standard deviation = 5

Use the empirical rule to determine the number of students who scored less than 65 or more than 75?

65 = 70 - 5

So 65 is one standard deviation below the mean

75 = 70 + 5

So 75 is one standard deviation above the mean.

By the Empirical Rule, 68% of the students scored between 65 and 75. The other 100-68 = 32% scored less than 65 or more than 75.

Out of 200, that is

0.32*200 = 64

So the correct answer is:

a. About 64

5 0

3 years ago

The solution of a certain differential equation is of the form y(t)=aexp(7t)+bexp(11t), where a and b are constants. The solutio

Solnce55 [7]

Answer:

Step-by-step explanation:

Given that the solution of a certain differential equation is of the form

$y(t) = ae^{7t} +be^{11t}$

Use the initial conditions

i) y(0) =1

$1=a(1)+b(1)\\a+b=1$ ... I

ii) y'(0) = 4

Find derivative of y first and then substitute

$y'(t) = 7ae^{7t} +11be^{11t}\\y'(0) =7a+11b \\7a+11b =4 ...II$

Now using I and II we solve for a and b

Substitute b = 1-a in II

$7a+11(1-a) = 4\\-4a+11 =4\\-4a =-7\\a = 1.75 \\b = -0.75$

Hence solution is

$y(t) = 1.75e^{7t} -0.75e^{11t}$

8 0

2 years ago

Read 2 more answers

Factor the trinomial!! PLEASE HELP and if possible please explain how to do this!!

Nikitich [7]

Answer:

d. a = 39

Step-by-step explanation:

Question:

for which value of "a" will the trinomial be factorizable.

x^2+ax-40

For the expression to have integer factors, a = sum of the pairs of factors of -40.

-40 has following pairs of factors

{(1,-40), (2,-20, (4,-10), (5,-8), (8, -5), (10,-4), (20,-2), (40,-1) }

meaning that the possible values of a are

+/- 39, +/- 18, +/- 6, +/- 3

out of which only +39 appears on answer d. a=39

4 0

3 years ago

Identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7

alexgriva [62]

The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7

Like terms are:
-9x^2, 12x^2

4 0

3 years ago