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AnnyKZ [126]
3 years ago
11

What is 2/9 + 2/3 and simplify if can

Mathematics
2 answers:
ratelena [41]3 years ago
7 0

2/9 + 2/3

2*3=6

3*3=9

2/9 + 6/9 = 8/9

vova2212 [387]3 years ago
4 0

2/9+2/3=2/9+6/9=8/9

8/9

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Each day the 29 people in Ms.Gills band class play music for 34 minutes.what would be the best estimate for the amount of music
poizon [28]

234 bc you they play 34 mins in one day and just times 34 by 7 and it will get ur answer.

6 0
3 years ago
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Write three functions. In the first function, y should vary directly with x. In the second function, y should vary inversely wit
skelet666 [1.2K]
<span>A) First function, y varies directly with x.

1) function: y = (3/4)x

2) graph: it is a straight line that passes through the origin and has slope 3/4. The slope means that the rate of change of the function is 3 units per every 4 units the x-value incresase or, what is the same 0.75 units per incresase unit of x - value.

3) real world example

 A recipe of a cake instructs to use 3 cups of sugar for every 4 cups of flour. So, how much flour you need if you have 12 cups of sugar?

y = (3/4)x , so if x = 3, y = (3/4)*12 = 3*12/4 = 9.

So, given that the variation is direct you multiply the number of cups of sugar times the constant rate, 3/4, to get the number of cups of flour in relation with the given amount of sugar.

B) The second function: y varies inversely with x.

Inverse variation => y*x = constant or y = constant / x.

Tnat means that if x increase y will decrease in the same factor that x increases.

1) function: y = 12 / x

2) graph: the form of this graph is called hyperbola, it is a decreasing line from left to right. It has two asymptotes, the y-axis (x =0) and the x-axis (y = 0). That means that x and y can never be zero.

As the x-value approaches 0, the y value approaches positive or negative infinity;  as the y-values approaches 0 the x-values approaches to positive or negative infinity.

If you take the positive values, the graph is a decreasing curve in the first quadrant (x and y are positive).

If you take the negative values, the graphs is a decreasing curve in the third quadrant (x and y are negative)

3)  real world example.

The relatioship between velocity and time in a uniform motion.

If the distance run by an object is constant, as the velocity increases the time decreases in the same factor.

Suppse a distant of 100  km between cities A and B.

How long will it take to travel from A to B at 50 km/ h and 25 km/h ?:

100 km = velocity * time

at 50 km/h: 100 km = 50 km/h * t => t =  [100 km ] / [50 km/h] = 2 hours

at 25 km/h: 100 kg = 25 km/h * t => t = [ 100 km ] / [25 km/h] = 4 hours.

 C) Third case, the relationship between x and y should is neither inverse variation nor direct variation.

Of course, there are infinite type of functions that are neither inverse variation nor direct variation: linear (that do not passe through the origin), quadratic, exponential, logarithmical, trigonometric sine, ...

1) example of function: y = 30 + 2x

2) graph: it is a straigh line with y-intercept 30 and slope 2.

3) real world example:

The cost of producing chairs consists of 30 dollars of rent for the facility plus 2 dollar to produce each chair, so the total cost y is 30 + 2x.
</span>
3 0
3 years ago
Rewrite each expression as a polynomial in standard form: (2x^2 − x^3 − 9x +1) − (x^3 +7x − 3x^2 +1)
Vitek1552 [10]

Answer:

Polynomial in standard form will be -2x^3+5x^2-16x

Step-by-step explanation:

We have given polynomial 2x^2-x^3-9x+1-(x^3+7x-3x^2+1)

We have to write this polynomial in standard form

For writing in standard form we have to first subtract the polynomial and then rearrange the order

So 2x^2-x^3-9x+1-(x^3+7x-3x^2+1)=2x^2-x^3-9x+1-x^3-7x+3x^2-1=-2x^3+5x^2-16x

So polynomial in standard form will be -2x^3+5x^2-16x

8 0
3 years ago
In the figure above a || b. If &lt;1=34, find the measure of &lt;2
MA_775_DIABLO [31]
Its also 34 ....hope u got ur answer
5 0
3 years ago
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John feeds three cows on his dairy farm the following daily diets:
Oxana [17]

Answer: If Mo eats 1 1/2 pounds of hay, Larry and Curly together eat less.

Larry and Curly eat 17/12 or 1 5/12 pounds of hay together.

Mo eats more hay than Larry and Curly combined.

Step-by-step explanation: Add the fractions by finding the Least Common Denominator 3/4 = 9/12. 4/6 = 8/12.

9/12 +8/12 =17/12.

1 1/2 = 18/12

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4 years ago
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