MATHEMATICS MIDDLE SCHOOL

What is the slope-intercept form of the function that contains the point (6, 2) and has a slope of 3?y= ____ x+ ____

Answers

Answer 1
Answer: The general formula: y=mx+b

(6,2) ⇒ x=6,y=2
m=3
b=?

2=3*6+b
2=18+b
b=-16

y=3m-16

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if 3 shirts and 4 caps cost $96, and 2 shirts and 5 caps cost $99, how much did each cap and each shirt cost?

Answers

hmmm..... let us try again...but this time with a different strategy,.... by the graph method.

The system is

3x + 4y =96
2x + 5y = 99.

We find solutions of each system and then plot them on a graph.

Solutions for equation 1 = (2, 22.5) and (30, 0)
Solutions for equation 2 = (49.5 , 0) and (1, 19.4)

Now, we plot both the equations on a graph paper and note its intersecting point.

Experimentally, we find the intersecting point is (12,15)

Thus, the solution for the system is x = 12 , y = 15.


Thus, we arrive at the conclusion 1 shirt  costs 12$
1 cap costs 15$
x-cost\ of\ one\ shirt\ny-cost\ of\ one\ cap\n \n3x+4y=\$96\ \ \ and\ \ \ 2x+5y=\$99\n \n \left \{ {{3x+4y=96\ /\cdot(-2)} \atop {2x+5y=99\ /\cdot(3)}} \right. \n \n \left \{ {{-6x-8y=-192} \atop {6x+15y=297} \right. \n --------\n7y=105\ /:7\n\ny=15\ \ \Rightarrow\ \ 3x+4\cdot15=96\ \ \Rightarrow\ \ 3x=36\ /:3\ \ \Rightarrow\ \ x=12\n \nAns.\ one\ shirt\ cost\ \$12,\ \ one\ cap\ cost\ \$15

Alan drew a polygon with four sides and four angles. All four sides are equal. None of the angles are right angles. What figure did he draw

Answers

Trapezoid because no angle is 90 degrees and it has 4 sides

7x + 2(5x -16)=70? Help me please!!

Answers

The answer is x=6
Hope this helps
7x+10x-32=70
17x-32=70
17x=102
x=6

Isn’t it easier to write sin 2theta = 2 sin theta and not bother memorizing the double-angle formula

Answers

First off, sin 2 theta = 2 sin theta cos theta. Also, the answer to your question is no. There are multiple double angle formulas, and it is important that you remember them so that you can answer questions correctly.

Write a multiplication problem using two decimals that has a product greater than 0.1 but less than 0.2

Answers

0.5 times 0.3  =  0.15

0.4 times 0.3  =  0.12

0.6 times 0.3  =  0.18

0.8 times 0.2  =  0.16

Which description best describes the association between the years and population in this scatter plot?

Answers

Answer:

"moderate negative"

Step-by-step explanation:

 When two variables are correlated, a tendency, negative or positive, can be distinguished in the dispersion chart.

When the trend is positive it means that one variable increases when the other also increases.

When the trend is negative it means that one variable decreases as the other increases ..

The relationship between both variables can be strong or weak.

If the relationship is strong, the points in the scatter diagram will increasingly resemble a line (if it is a linear relationship).

If the relationship is weak, the points will be more and more scattered without any relation between them.

In this case it is observed that when the years increase the population decreases. Therefore it is a negative relationship. The distribution of the points resemble moderately to a straight line. Therefore, the correct option is "moderate negative"
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