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faust18 [17]
3 years ago
10

Micah was asked to add the following expressions:

Mathematics
1 answer:
scZoUnD [109]3 years ago
3 0

Given expression: \frac{3x^2-x-9}{x^2+3x+2}+\frac{-2x^2+2x+5}{x^2+3x+2}


We need to add the given rational expressions.


First step: Combined like terms in the numerator and kept the common denominator.


\frac{3x^2-x-9-2x^2+2x+5}{x^2+3x+2} =\frac{x^2+x-4}{x^2+3x+2}


Second step they applied : Canceling the like term x^2 and got \frac{x-4}{3x+2}.

Note: We can't cancel like terms in top and bottom like this.

We can cancel out common factors in top an bottom.

<h3>Therefore, Micah did not add the expressions correctly.</h3>
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A scientist cools some water at a constant rate. The graph and table show
Afina-wow [57]

A function assigns the values. The function for this model can be written as y=-4x+50.

<h3>What is a Function?</h3>

A function assigns the value of each element of one set to the other specific element of another set.

As it can be seen from the graph that the function is linear, therefore, we can write,

y = mx + c

Given two points of the graph, therefore, we can write for the first point,

30 = m(5) + c

30 = 5m + c

c = 30 - 5m

Also, for the second point,

y = mx + c

26 = 6m + c

Substitute the value of c,

26 - 6m = 30 - 5m

-6m + 5m = 30 - 26

-m = 4

m = -4

Now, substitute the value of m in any one of the equation formed above,

c = 30 - 5m

c = 30 - 5(-4)

c = 50

Hence, the function for this model can be written as y=-4x+50.

Learn more about Function:

brainly.com/question/5245372

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7 0
2 years ago
21 and 23 can best be described as -​
lisov135 [29]

Answer:

odd numbers

Step-by-step explanation:

<em>you can see that end with odd numbers 1 and three so they can best be described  as odd numbers</em>

HOPE YOU FIND IT USEFUL

8 0
3 years ago
Michael spent 4976. We exchange the Kuna she had left for US dollars. The exchange rate was one Kuna two $0.17. How many US doll
PIT_PIT [208]
Well, we need to know how much was money the individual started with.
5 0
3 years ago
Read 2 more answers
REWARD: 50 points + Brainly to the best answer.<br> Check the file.
Debora [2.8K]

Answer:

a) No because the gallons and quarts of oil you and your friend bought is proportional.

b) Yes because the gallons and quarts of oil are no longer proportional.

c) 1 gallon of gasoline = $3.55

   1 quart of oil = $5.00

Step-by-step explanation:

Let g = cost per gallon of gasoline

Let q = cost per quart of oil

a)  Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

From inspection, we can see that if we multiply the second equation by 2, it will give us the first equation.  Therefore, they are proportional and we cannot determine the variables.

b) Creating expressions from the given information:

10g + 2q = 45.50

5g + q = 22.75

8g + 2q = 38.40

From inspection, we can see that the third equation is not proportional to equations 1 and 2.  Therefore, we can use this equation with either of the other equations to determine the variables.

c)

Using equations 2 and 3 from the previous part (b):

5g + q = 22.75

8g + 2q = 38.40

Rewrite 5g + q = 22.75 to make q the subject:

⇒ q = 22.75 - 5g

Substitute into 8g + 2q = 38.40 and solve for g:

⇒ 8g + 2(22.75 - 5g) = 38.40

⇒ 8g + 45.5 - 10g = 38.40

⇒ 2g = 7.1

⇒ g = 3.55

Substitute found value for g into q = 22.75 - 5g and solve for q:

⇒ q = 22.75 - (5 x 3.55)

⇒ q = 5

3 0
2 years ago
I give up.. please don’t just answer for points PLEASEE HELP MEEE if u get it right then i swear i owe you a brainliest :P
Ipatiy [6.2K]

Answer:

B. or C.

Step-by-step explanation:

- hope this helps

5 0
3 years ago
Read 2 more answers
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