40 - 23<br> 4 + 3(22)<br> evaluate the expression

4. Solve 9k + 3 > 6k - 18.<br> k> -7<br> k > 5<br> k> -5<br> O<br> k> 7

Anon25 [30]

Answer:

Step-by-step explanation:

9k + 3 > 6k - 18

To solve the inequality shown first group like terms.

That's send the constants to the right side of the inequality and those with variables to the left side.

We have

9k - 6k > - 18 - 3

Simplify

3k > - 21

Divide both sides by 3

We have the final answer as

Hope this helps you

6 0

3 years ago

The value of a baseball player's rookie card began to increase once the player retired. When he retired in 1996 1996 his card w

Katena32 [7]

Answer:

Part 1) The equation is $y=1.92x+8.76$

Part 2) The value of the card in 2006 was $\$27.96$

Step-by-step explanation:

Part 1) Express the relationship relating the value of the card y in dollars and the number of years x the player has been in retirement with an equation

Let

x -----> the number of years since 1996

y ----> the value of the card

we know that

The linear equation in slope intercept form is

$y=mx+b$

where

m is the slope

b is the y-coordinate of the y-intercept

In this problem

we have that

1) The value of the card has increased by $ 1.92 each year since 1996

so

The unit rate or slope of the linear equation is $m=1.92\frac{\$}{year}$

2) When he retired in 1996 his card was worth $ 8.76

Remember that the y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the value of the card when the year is 1996 (the number of years is zero)

so

The y-intercept is the point (0,8.76)

$b=\$8.76$

substitute the values in the linear equation

$y=1.92x+8.76$

This relation is not proportional, because the linear equation not passes trough the origin

Part 2) What was the value of the card in 2006?

Determine the number of years since 1996

x=2006-1996=10 years

substitute the value of x in the equation and solve for y

$y=1.92(10)+8.76$

$y=\$27.96$

6 0

3 years ago

How many dots are there at t minutes? Solve the problems by your preferred method. Your

Zielflug [23.3K]

<h2>Answer:</h2>

The image to the question is missing, but I found a matching image, which is attached to this solution

Answer:

3 minutes = 13 dots

100 minutes = 401 dots

t minutes = 4(t) + 1 dots

Step-by-step explanation:

From the image, the following can be noticed:

time (Mins) dots

0 1

1 5

2 9

The pattern gotten from this progression is that, if the time is multiplied by 4, and the result added to one, the result will be the number of dots.

hence, when the time is 0 minutes:

0 × 4 = 0

0 + 1 = 1 ( 1 dot)

when the time is 1 minute

1 × 4 = 4

4 + 1 = 5 (5 dots)

when the time is 2 minutes

2 × 4 = 8

8 + 1 = 9 ( 9 dots)

Therefore,

when the time = 3 minutes

3 × 4 = 12

12 + 1 = 13 dots

at 100 minutes:

100 × 4 = 400

400 + 1 = 401 dots

at t miutes

t × 4 = 4t

4t + 1 = number of dots

Therefore number of dots at t minutes = 4(t) + 1

3 0

3 years ago

The number line shows the distance in meters of two skydivers, A and B, from a third skydiver located at point X:

abruzzese [7]

Answer:

B ≥ 0.5 - A ≤ -2.5 = -3 is ( 0.5x ) - ( -2.5x) = -3x

Step-by-step explanation:

A and B = 2 skydiver's distance each from x = -2.5 and 0.5 inequality shows us when x = 0 then A ≤ -2.5 The second inequality shows us when x = 0 then B ≥ 0.5 here on number line we an keep closed circles and shaded lines in opposite direction each from 0 showing domain is x domain = -2.5 to 0 and x domain = 0 to 5 (using commas instead of to) The actual expression then goes B ≥ 0.5 - A ≤ -2.5 = -3 so we an just use ( 0.5x ) - ( -2.5x) = -3x

5 0

3 years ago

Read 2 more answers

How do you solve 6(s − 9) step by step

Nina [5.8K]

Answer: