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2 years ago

If 8^y=16^y+2, what is the value of y? A) -8 B) -4 C) -2 D) -1

1 answer:

Pie2 years ago

6 0

$8=2^3;\ 16=2^4$

$Use:\ (a^n)^m=a^{nm}$

$8^y=16^{y+2}\\\\(2^3)^y=(2^4)^{y+2}\\\\2^{3y}=2^{4(y+2)}\iff3y=4(y+2)\\\\3y=4y+8\ \ \ |-4y\\\\-y=8\to y=-8$

Answer: A) -8.

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What is the remainder when the polynomial f(x)=3x^3-4x^2+2x+8 is divided by (x-5)

yaroslaw [1]

The remainder when the polynomial f(x) = 3x³ - 4x² + 2x + 8 is divided by (x - 5) is constant an equal f(5).

Substitute x = 5 to the polynomial:

$f(5)=3(5^3)-4(5^2)+2(5)+8=3(125)-4(25)+10+8\\\\=375-100+18=275+18=293$

Answer: (3x³ - 4x² + 2x + 8) : (x - 5) = q(x) + 293.

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2 years ago

Thirty six plus b is greater than negative twenty four b plus negative sixty four

8_murik_8 [283]

Answer:

Step-by-step explanation:

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2 years ago

What is the probability that a point chosen at random in the triangle is also in the blue square?

matrenka [14]

The probability that a point chosen at random in the triangle is also in the blue square can be calculated using geometrical definition of the probability:

$Pr=\dfrac{\text{desired area}}{\text{total area}}.$

1. Find the total area of the triangle:

$A_{total}=\dfrac{1}{2}\cdot 6\cdot 9=27\ in^2.$

2. Find the desired area of the square:

$A_{desired}=3\cdot 3=9\ in^2.$

Then the probability is

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Answer: correct choice is B

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2 years ago

What is the equation of line l?

inessss [21]

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3 years ago

What is the length of AA' , rounded to the nearest hundredth? Type a numerical answer is the space provided. Do not type spaces

inna [77]

Coordinate of A are (0,0)
Coordinates of A' are (5,2)

We can find the distance from A to A' using the distance formula:

$AA'= \sqrt{(5-0)^{2}+ (2-0)^{2} } \\ \\ 
AA'= \sqrt{25+4} \\ \\ 
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Thus, rounded to nearest hundredth, AA' is equal to 5.39

3 0

2 years ago