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2 years ago

Dylan is 6 years younger than Briana. Briana's age can be represented by x. Write an expression representing Dylan's age.

2 answers:

soldier1979 [14.2K]2 years ago

8 0

x - 6

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x is Brina's age

-6 is how many years younger Dylan is

miss Akunina [59]2 years ago

7 0

Answer:

x - 6

Step-by-step explanation:

usatestprep

k-12

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If dy/dx = x(y-1), find the equation of the tangent line at x=-2 with f(-2)=3

Lapatulllka [165]

Answer:

The equation of the tangent line passing through the point (-2,3) is

4 x + y +5 =0

Step-by-step explanation:

Step(i):-

Given that the slope of the tangent

$m = \frac{dy}{dx} = x(y-1)$

m = -2( 3-1) = -4

Given point x = -2

y = f(-2) =3

∴The given point ( x₁ , y₁) = ( -2 ,3)

Step(ii):-

The equation of the tangent line passing through the point (-2,3)

$y - y_{1} = m(x-x_{1} )$

$y -3 = -4(x-(-2))$

y -3 = -4( x+2)

y-3 = -4x -8

4x + y -3+8=0

4x +y +5=0

Step(iii):-

The equation of the tangent line passing through the point (-2,3) is

4 x + y +5 =0

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2 years ago

Find A intersection B.

Alecsey [184]

A: {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}
B: {-2, -1, 1, 4, 7, 11}

A ∩ B = {1, 4, 7, 11}

So the answer is B.

Intersection of two or more sets cointains only common elements.

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2 years ago

The sum of three consecutive odd integer is 21. What is the greatest integer

Mrac [35]

Try a few:

1+3+5=9 too small
5+7+9= 21 just right

The greatest integer is 9

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2 years ago

Please help! Correct answer only!

finlep [7]

Answer:

" Expected Payoff " ⇒ $ 0.830

Step-by-step explanation:

Consider the probability of entering 1 ticket out of the 1000 entered;

$Total Tickets Entered - 1000 Tickets,\\Prize Won - 830 Dollars,\\Number of Tickets One Can Enter - 1 Ticket,\\\\Probability of Winning - 1 / 1000,\\Proportionality - 1 / 1000 = x / 830, If x = " Expected Payoff ",\\\\1 / 1000 = x / 830 - Cross Multiplication ,\\1000 * x = 830,\\x = 830 / 1000 = 0.830\\\\Conclusion ; x = 0.83$

Solution ; " Expected Payoff " ⇒ $ 0.830 ( might or might not include 0 at end )

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2 years ago

Prompt According to the College Board website, the scores on the math part of the SAT (SAT-M) in a recent year had a mean of 507

OlgaM077 [116]

Answer:

The actual SAT-M score marking the 98th percentile is 735.105.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 507, \sigma = 111$