If log3 8=a and log2 3=b can you represent the following numbers in terms of a and b? log4 9

A 14 pound bag of dog food cost $16.24 and a 30 pound bag of dog food cost $33.30 which statement is true and can be used to det

Over [174]

Answer:

B)

Step-by-step explanation:

16.24/14=1.16

33.3/30=1.11

1.16-1.11=0.05

4 0

3 years ago

Read 2 more answers

Please help me with these 5 questions!

kipiarov [429]

Answer:

Part 2) Option D. yes; k = 1/4 and y = 1/4x

Part 6) Option D. y = 1/5x-1

Part 8) Option C. line b

Part 11) Option D. -1/5

Part 15) Option A. line a

Step-by-step explanation:

Part 2) we know that

A relationship between two variables, x, and y, represent a directly variation if it can be expressed in the form $y=kx$

In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin

In this problem the line passes through the origin

therefore

Yes. y varies directly with x

Let

A(4,1)

The constant k is equal to

$k=y/x$

substitute

$k=1/4$

the equation is equal to

$y=(1/4)x$

Part 6) we know that

The y-intercept of the trend line is -1 (For x=0)

The slope of the trend line is positive

The x-intercept of the trend line is 5 (For y=0)

therefore

the equation is equal to

$y=(1/5)x-1$

Part 8) we have

$y+4=-\frac{2}{3}x$

This is the equation of a line into point slope form

The slope is negative $m=-2/3$

Pass through the point (0,-4) ----> y-intercept

The x-intercept is equal to

$0+4=-\frac{2}{3}x$

$x=-4*3/2=-6$

therefore

Is the line b

Part 11)

What is the slope of the line through the points (–2, –1) and (8, –3)?

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{-3+1}{8+2}$

$m=\frac{-2}{10}$

simplify

$m=-\frac{1}{5}$

Part 15) we have

$y=3x-2$

The slope is positive $m=3$

The y-intercept is -2 (For x=0)

The x-intercept is (For y=0)

$0=3x-2$

$3x=2$

$x=2/3$

therefore the line is a

7 0

3 years ago

Find the next two numbers in the sequence 1, 5, 17, 53, 161, _____, _____

natita [175]

5 = 1 + 4
17 = 5 + 12
53 = 17 + 36
161 = 53 + 108
485 = 161 + 324
The next two numbers are 161 and 485.

3 0

3 years ago

Which equation can be used to solve for x, the increase in side length of the square in inches?

Mekhanik [1.2K]

Answer:

x2 + 8x – 65 = 0

Step-by-step explanation:

Complete question

A square picture with a side length of 4 inches needs to be enlarged. The final area needs to be 81 square inches. Which equation can be used to solve for x, the increase in side length of the square in inches? x2 + 4x – 81 = 0 x2 + 4x – 65 = 0 x2 + 8x – 65 = 0 x2 + 8x – 81 = 0

Given the initial side length = 4in

Initial area = L²

L is side length of the square

Initial area = 4²

Initial area = 16 square inches

Area of the enlarged square = 81 square inches

To get the constant term of the expression, we will find the difference in the areas

Difference = 85 - 16

Difference = 65 square units

The coefficient of x will be the 2 *initial area of the square

Given the standard form of an expression as

ax^2 + bx + c

a = 1, b = 2*4 = 8, c = -65

Substitute

x^2 + 8x - 65

This gives the required expression

5 0

3 years ago

Read 2 more answers

3x-2<4 what is the solution set for this equality?

serg [7]

Answer:

easy

Step-by-step explanation:

its anything less 4 so it could only be x = 1

hope this is what our looking for

5 0

3 years ago