How do you reduce or simplify a fraction?subtract the same number from the numerator and denominator
cancel out anything the numerator and denominator share
multiply the entire fraction by 1
use the negative reciprocal

Answers

Answer 1
Answer: Not really subtract, I would say divid the number they share from it, so 2/4 you can divide each by 2 to make it 1/2. Hope this helped!

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Please help I need this for a math midterm the question is below in the picture !!

4. Solve the quadratic by factoring, isolating x^2, or using the quadratic formula:a. 2x^2 – 7x = 4

b. 81x^4 – 1


c. 2x^2 – 32 = 0

d. X^2 – 7x + 12

Answers

Hello,

A:
2x²-7x-4=0
==>2x²-8x+x-4=0
==>2x(x-4)+1(x-4)=0
==>(x-4)(2x+1)=0
==>(x=4) or (x=-1/2)

B: where is the sign "=" !!!!!!!!!!!!!!!!!!

81x^-1=(9x²+1)(3x+1)(3x-1) I can not go any further.


C)
2x²-32=0
==>x²-16=0
==>(x+4)(x-4)0
==>x=-4 or x=4

D:
where is the sign "="!!!!!!!!!!!!!!!!!!!!!!!!

x^2-7x+12=(x-4)(x-3) but I can not go ant further....

A lawnmower that regularly sells for $150 is on sale for $120. The price was decreased by percent.

Answers

Step 1:

Let us first find the decrease in amount.

Decrease in amount = 150 -120 = $30

Step 2:

Now let us find the ratio of decrease in price to original price.

So the ratio is 1/5 or in decimal its 0.2.

Step 3:

To find percentage decrease we change this decimal number 0.2 two places to the right side, so it becomes 20 %

 The price decreased by 20%

If angle one and angle five a vertical angles and angle one equals 55° then angle five will equal _____?

Answers

55º

vertical angles are congruent

A. using the graph, describe the key characteristics of the graph (positive/negative slope, proportional/non proportional, y-intercept).B. write in words what the slope of the graph means in context.

C. write in words what the y-intercept of the graph means in context.

D. write in words what the graph of the line is showing.

Answers

Final answer:

The graph has a positive slope, is non-proportional, and has a y-intercept of 2. The slope represents the rate of change between the x and y variables. The y-intercept represents the value of y when x is 0. The graph shows a relationship where y increases by a constant rate of 3 for every one unit increase in x.

Explanation:

A. The graph has a positive slope. It is non-proportional as the points do not lie on a straight line. The y-intercept is 2.

B. The slope of the graph represents the rate of change between the x and y variables. In context, it means that for every unit increase in x, y increases by 3 units.

C. The y-intercept of the graph represents the value of y when x is 0. In context, it means that when x is 0, y is equal to 2.

D. The graph of the line is showing a relationship between x and y variables, where y increases by a constant rate of 3 for every one unit increase in x, starting from a y-value of 2 when x is 0.

Learn more about graph characteristics here:

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Final answer:

In a graph, the slope describes the rate of change, and the y-intercept is where the line intersects the y-axis. A positive pitch rises from left to right, while a negative one falls. A proportional graph reflects a constant rate of change, while a non-proportional one shows a non-constant rate of change.

Explanation:

We need to know the specifics of the graph to explain the components you've asked about. A positive slope on a chart is represented by a line that rises from left to right, while a negative slope descends from left to right. The value of the pitch can be determined by the rise over run (change in y / change in x).

A graph is proportionalif the line passes through the origin (0,0) and has a constant slope. If it doesn't, it's considered non-proportional, meaning the change rate is unstable.

The y-intercept is the point where the line intersects with the y-axis. In the context of an equation, it's the value of 'y' when 'x' equals zero.

A graph's slope depicts the change rate between the two variables. The y-intercept typically represents the starting value or the value of 'y' when 'x' has yet to apply. Finally, the overall graph of a line shows the relationship between two variables, represented in a way that changes in one variable correspond with a change in another.

Learn more about Graph Analysis here:

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Chris wants to order DVD's over the internet. Each DVD costs $5 and shipping the entire order costs $25. If he can spend no more than $125, how many DVD's could he buy?

Answers

Answer: A)5x+25 ≤125

               B)x ≤20

Step-by-step explanation:

A) $5: How much per DVD

     x:# of DVDs he gets

        +25:Shipping fee

     ≤: He has a max of 125 he can spend an equivalence of or less but no more.  125 can be on the left end of a greater than or equal to the equation as well.

B)5x+25 ≤125

         -25  -25

5x≤ 100

5/5x≤100/5

x≤20

Hope this helps!!

7. Which of the following relations is a function?A.{(2, 3), (-2, 3), (3, 2), (-3,-2)}
B.{(8,-4), (-4, 8), (-4, -8), (-8,4)}
C.{(9, -1), (-1, 9), (9, 2), (2, -1)}
D.{(5, -7), (4, 6), (-3, 8), (5,9)}

Answers

A function means that each x can only have one y-value

B, C, and D are NOT functions because they have x-values that have multiple y-values.

For example

B. has two values for -4:

(-4, 8) and (-4, -8)

C. has two values for 9:

(9, -1) and (9, 2)

D. has two values for 5:

(5, -7) and (5, 9)

This makes A. the only function

Hope this helped!

~Just a girl in love with Shawn Mendes