Using the associative property of multiplication, which expression is equivalent to 4(7x)?A. 7(4x)

B. 28x

C. (4.7)x

D. 4(7+x)

Answer:

Graph attached of all the problems.

Problem 1- Slope is m=6 and y-intercept is c=20

Problem 2-Slope is m=2 and y-intercept is c=10

Problem 3-Slope is m=-3 and y-intercept is c=20

Problem 4-Slope is m=5 and y-intercept is c=10

Problem 5-Slope is m=3 and y-intercept is c=6

Step-by-step explanation:

Given : 5 problems

To identify : The slope and y-intercept for each problem and also show the graph.

Solution :

Slope intercept form is y=mx+c

where m is the slope and c is the y-intercept

Problems:

Problem 1 - John began his job making $20 the first day. After that he was paid $6.00 per hour.

Y = 6x + 20

Comparing with the slope - intercept form

Slope is m=6 and y-intercept is c=20

Graph is attached below (1)

Problem 2 -  A membership to Movie Night Movie Club costs $10 plus $2 per movie.

Y = 2x +10

Comparing with the slope - intercept form

Slope is m=2 and y-intercept is c=10

Graph is attached below (2)

Problem 3 - You start out with $20 and then spend money in a store where every item is $3.

Y = -3x + 20

Comparing with the slope - intercept form

Slope is m=-3 and y-intercept is c=20

Graph is attached below (3)

Problem 4-Your weight-lifting class cost you a $10 fee up front and $5 per class after.

Y = 5x + 10

Comparing with the slope - intercept form

Slope is m=5 and y-intercept is c=10

Graph is attached below (4)

Problem 5 -You join a paperback book club for $6, and then spend $3 per book.  

Y = 3x + 6

Comparing with the slope - intercept form

Slope is m=3 and y-intercept is c=6

Graph is attached below (5).

Answer:

I attached a pic of the answer. I just did the quiz. Hope this helps!!!

Step-by-step explanation:

A graph that represents the polynomial function h(x) = x³ + 2x² – 11x – 12 include the following: D. graph D.

What is the degree of a polynomial function?

In Mathematics and Geometry, the degree of a polynomial function is sometimes referred to as an absolute degree and it's the greatest exponent (leading coefficient) of each of its term.

Based on the information provided, we have the following polynomial function:

h(x) = x³ + 2x² – 11x – 12

Since the leading coefficient of the above polynomial function is positive, and the degree is odd, the end behavior can be described as follows;

As x tends towards negative infinity, h(x) tends towards negative infinity i.e x → -∞, h(x) → -∞.

As x tends towards positive infinity, h(x) tends towards positive infinity i.e x → ∞, h(x) → ∞.

Read more on polynomial function here: brainly.com/question/14625910

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Complete Question:

Which graph represents the polynomial function h(x) = x³ + 2x² – 11x – 12?

Answer:

1/3025

Step-by-step explanation:

Prob. of getting a 9 is 1/55; likewise for 41. multiply the 2 probs. together. (1/55)^2=1/3025≈0.00033057851

Final answer:

The probability of drawing ball number 9 first and then drawing ball number 41 from a container of balls numbered 1 to 55, with replacement is 1/3025.

Explanation:

The question pertains to the field of probability in Mathematics. It is asking for the probability of first drawing ball number 9 and then drawing ball number 41 from a container that contains balls numbered from 1 to 55. Since the ball is replaced after the first draw, the total number of possibilities remains the same for both draws. Therefore, the individual probability of drawing either one of those balls at a certain draw is 1/55.

Given that these are independent events, we multiply the probabilities. Hence, the probability of drawing ball number 9 first and then drawing ball number 41 is: P(9 and 41) = P(9) x P(41) = (1/55) x (1/55) = 1/3025.

Learn more about Probability here:

brainly.com/question/32117953

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