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pav-90 [236]
3 years ago
7

Simplify the expression given below.

Mathematics
2 answers:
serg [7]3 years ago
8 0
For this case, what we should do is follow the following steps:
 1) Factor the third degree polynomial
 2) Factor the second degree polynomial
 3) Rewrite the division of fractions
 4) Cancel similar terms
 Answer: 
 option 1
 See attached image for the solution

loris [4]3 years ago
5 0
The answer is 1/ 3x+1 (the first one)
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Solve for x: 3(x + 1) = −2(x − 1) − 4
Anika [276]
Solve your equation step-by-step.

3(x+1)=−2(x−1)−4


Simplify both sides of the equation.

3(x+1)=−2(x−1)−4

Simplify:

3x+3=−2x−2

Add 2x to both sides.

3x+3+2x=−2x−2+2x

5x+3=−2

Subtract 3 from both sides.

5x+3−3=−2−3

5x=−5

Divide both sides by 5.

5x/5 = −5/5

x=−1


4 0
3 years ago
What is 1/2 ÷ 10?<br> What is 3÷ 1/6?
aev [14]
1/2 ÷10=1/20 because you multiply the bottoms

3÷1/6= 18 because it is the same as 3×6
3 0
3 years ago
Read 2 more answers
1) Anna and Jason have summer jobs stuffing envelopes for two different companies. Anna earns $20 for every 400 envelopes she fi
AleksAgata [21]

Answer:

The answer is below

Step-by-step explanation:

A) i)

For Anna initially, she has $0 from making 0 envelopes. After making 400 envelopes she has $20. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (400, 20). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{20-0}{400-0}(x-0)\\\\y=\frac{1}{20} x

The table is:

x:   200     400       600     800     1000

y:    10        20          30        40       50

ii)

For Jason initially, he has $0 from making 0 envelopes. For every 250 envelopes he has $10. Let x represent the number of envelopes and y the earnings. Hence this can be represented by the points (0, 0) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{250-0}(x-0)\\\\y=\frac{1}{25} x

The table is:

x:   200     400       600     800     1000

y:    8         16           24        32       40

The graph is plotted using geogebra online graphing

b) From the table above we can see that Anna makes more stuffing than Jason.

c) Anna has a savings of $100. Hence this can be represented by the points (0, 100) and (250, 10). Using the equation of a line:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-100=\frac{20-0}{400-100}(x-0)\\\\y=\frac{1}{15} x+100

We can see from the graph that there is a y intercept at 100. That is the earnings starts from 100.

The equation of a line is given as y = mx + b, where m is the slope and b is the y intercept (initial value)

For the first graph, the slope is 1/20 and the initial value is 0 while for the second graph the slope is 1/15 and the initial value is 100

D) The line pass through (10, 10) and (100, 40), hence:

y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-10=\frac{40-10}{100-10}(x-10)\\\\y-10=\frac{1}{3} (x-10)\\\\y=\frac{1}{3}x+\frac{20}{3}

3 0
3 years ago
The total area of both plots of land is?
VikaD [51]

You have 2x^2 + 9x -9 and 3x^2 -2x +14

To find total area add the two polynomials together by combining the like terms.


2x^2 + 3x^2 = 5x^2

9x + -2x = 9x-2x = 7x

-9 + 14 = 5


Total area = 5x^2 + 7x + 5

7 0
4 years ago
? ( Ellen has 2 quarters 1 dime and 1 nickel how many different amounts of money can you make using 1 ore more of these clubs )
ohaa [14]

the answer to this is nine



7 0
4 years ago
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