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3 years ago

Find the values of the unknown constants for the identities

Mathematics

1 answer:

ankoles [38]3 years ago

5 0

Answer:

a = 1 and b = - 10

Step-by-step explanation:

Expand the right side of the identity

x(ax² - 3x + b) - 3(ax² - 3x + b)

= ax³ - 3x² + bx - 3ax² + 9x - 3b

= ax³ - x²(3 + 3a) + x(b + 9) - 3b

Equate the coefficients of like terms on both sides of the identity

x³ terms → ax³ with x³ ⇒ a = 1

x terms → - x with (b + 9)x ⇒ b + 9 = - 1 ⇒ b = - 10

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−3(2+4k)+7(2k−1) eqivalent expression

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Answer:

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Step-by-step explanation:

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3 years ago

How did you apply proportional reasoning as you worked through these problems?

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Step-by-step explanation:

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If 1 oz of potato chips contains 180 calories, how many ounces would contain 3,180 calories

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If the area of a circle is 58 square feet, find the circumference. A. 42.5 ft. B. 4.25 ft. C. 22.35 ft. D. 26.99 ft.

PSYCHO15rus [73]

Answer: OPTION D.

Step-by-step explanation:

The formula for calculate the circumference of a circle is:

$C=2r\pi$

Where r is the radius.

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$A=r^2\pi$

Where r is the radius.

Solve for r from $A=r^2\pi$ to calculate it:

$r=\sqrt{\frac{A}{\pi}}\\r=\sqrt{\frac{58ft^2}{\pi}}\\r=4.296ft$

Subsitute the radius into $C=2r\pi$ . Then:

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3 years ago

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Determine if events A and B are mutually exclusive.

gladu [14]

Answer:

A) Not mutually exclusive

Step-by-step explanation:

Given

$P(A) = \frac{1}{4}$

$P(B) = \frac{3}{5}$

$P(A\ or\ B) = \frac{7}{10}$

Required

Determine if they are mutually exclusive or not

Mutually exclusive are defined by:

$P(A\ or\ B) = P(A) + P(B)$

So, we have:

$P(A\ or\ B) = \frac{1}{4} + \frac{3}{5}$

Take LCM

$P(A\ or\ B) = \frac{5+12}{20}$

$P(A\ or\ B) = \frac{17}{20}$

By comparing:

$P(A\ or\ B) = \frac{17}{20}$ ---- Calculated

$P(A\ or\ B) = \frac{7}{10}$ ---- Given

We can conclude that A and B are not mutually exclusive because:

$\frac{17}{20} \ne \frac{7}{10}$

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3 years ago