MATHEMATICS MIDDLE SCHOOL

Graph the equations to solve the system Y equals 2x+7 and 1/2y=x+7/2

Answers

Answer 1
Answer:

Given equation is y=2x+7 and (1)/(2)y=x+(7)/(2)

Let's simplify the 2nd equation (1)/(2)y=x+(7)/(2) before we can start graph so that calculation will be easy

(1)/(2)y=x+(7)/(2)

multiply both sides by 2 to cancel out fractions

2*(1)/(2)y=2*x+2*(7)/(2)

y=2x+7

which is exactly same as the first equatoin so graph of both will be exactly same and solution will be infinitely many solutions.

y=2x+7 has y-intercept 7 so first point will be (0,7). Slope is 2 so rise 2 unit up then 1 right and graph the new point.

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A parallelogram with vertices (–1, 3), (5, 1), (3, –2), and (–3, 0) is translated right 4 units, down 2 units. What are the coordinates of the vertices of the translated parallelogram?

A.
(3, 1), (9, –1), (7, –4), and (1, –2)

B.
(3, 1), (9, –1), (7, 0), and (1, –2)

C.
(3, 5), (9, 3), (7, 0), and (1, 2)

D.
(1, 7), (7, 5), (5, 2), and (–1, 4)

Answers

A. the coordinates for the 3rd one is (7, -4)

Which set is more variable? How do you know?Please please help me ASAP like RIGHT NOW this is my last question and the only question I have left so please help me super quick!!!!!!!!!!

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Excuse me, but do you mean valuable...?

Final answer:

To determine which set is more variable, calculate their measures of variability such as range and standard deviation. Sets with larger range and standard deviation are considered more variable.

Explanation:

To determine which set is more variable, you need to calculate the measures of variability for both sets. The measures of variability commonly used are the range and standard deviation. The set with a larger range and standard deviation is considered to be more variable.

For example, if we have two sets of data: Set A (2, 4, 6, 8, 10) and Set B (3, 5, 7, 9, 11), we can calculate the range for both sets. The range of Set A is 10 - 2 = 8, while the range of Set B is 11 - 3 = 8. Both sets have the same range, so we need to calculate the standard deviation to determine which set is more variable.

By calculating the standard deviation, we find that Set A has a standard deviation of 2.83, while Set B has a standard deviation of 2.83 as well. Again, both sets have the same standard deviation, so in this example, both sets are equally variable.

Learn more about Variability in sets here:

brainly.com/question/31056910

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Before the electronic calculator became widely available, logarithms were used to carry out complicated calculations.

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Answer:

True

Step-by-step explanation:

How do you put 8/100 ,3/5 ,7/10 from least to greatest

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From least to Greatest: 8/100, 7/10, 3/5
you can do it like this 3/5 7/10 8/100

Suppose that a diamond weighs 0.0182 carat.What is that number in expanded form

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0.0182=(0 x 1)+ (0/10) + (1/100) + (8/1000) + (2/10000).

What is the point-slope form of the equation of a line that passes through the point (1, 4) and has a slope of −3?A. Y - 1 = -3 (X - 4)

B. Y + 4 = 3(X + 1)

C. Y + 4 = -3 (X + 1)

D. Y - 4 = -3 (X - 1)

Answers

The point slope form equation is: y – y1 = m(x – x1)

Then just plug in the numbers: 
Y – 4 = -3 ( x – 1) ANSWER D
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