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rewona [7]
2 years ago
9

Solve the equation, using any method. Be sure to check for extraneous solutions.

Mathematics
1 answer:
hichkok12 [17]2 years ago
7 0

Answer: No real solution.

Step-by-step explanation:

\frac{2}{(2x+6)}-\frac{2}{x^2+5x+6}=\frac{3}{(x+3)}

First solve x^2+5x+6

\frac{2}{(2x+6)}-\frac{2}{(x+3)(x+2)}=\frac{3}{(x+3)}

\frac{[2(x+3)(x+2)]-[2(2x+6)]}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}

\frac{[(2x+6)(x+2)]-(4x-12)}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}

\frac{(2x^2+4x+6x+12)-(4x-12)}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}

\frac{2x^2+10x+12-4x+12}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}

\frac{2x^2+6x+24}{(2x+6)(x+3)(x+2)} = \frac{3}{(x+3)}

Past this point, we can't solve 2x^2+6x+24 and obtain real values of x. Therefore, there are no real solutions.

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on a weekend, Neville hagberg worked 13 hours at a double time pay. his regular pay rate was 9.86. what did Neville overtime pay
Mumz [18]
Double time pay.....basically, this means double his regular pay
2(9.86) = 19.72 per hr for overtime pay

at 13 hrs...
19.72 (13) = 256.36 total overtime pay
7 0
3 years ago
Tonia and trinny are twins. Their friends give them identical cakes for their birthday. Tonia eats 1/8 of her cake and trinny ea
Nikitich [7]

Answer:

\frac{7}{12} of the cake

Step-by-step explanation:

add \frac{1}{8} and \frac{1}{6} to see the total amount of cake eaten.

a. find the common denominator: 8 x 3 = 24 and 6 x 4 = 24

b. multiply accordingly to get the correct numerator: \frac{3}{24} + \frac{4}{24}

c. add: \frac{3}{24} + \frac{4}{24} = \frac{7}{24}

subtract found value from total to find left over cake.

a. 24 - 7 = 14

simplify.

a. \frac{14}{24} = \frac{7}{12}

You are left with \frac{7}{12} of the cake.

8 0
3 years ago
Please help me it urgent i need help i beg you guys!
nordsb [41]

Solve for y in the first equation.

3 0
2 years ago
Which expressions are equivalent to 4(x+1) + 7(x+3)? Select two answers.
Natalija [7]

Answer:

9(x+3) + 2(x+3) or 10(x+2) +(x+5)

Step-by-step explanation:

First you want to distribute the equation.

4(x+1) + 7(x+3) multiplied out is

4x + 4 + 7x + 21

Now we add like terms so it comes out to

11x + 25

Two expressions that can come out to equal 11x + 25 is. 9(x+3) + 2(x+3) or 10(x+2) +(x+5)

7 0
3 years ago
A group of college students developed a solar-powered car and entered it in a race. The car travels at a constant speed of 100 m
nekit [7.7K]

Answer:

A) Distance time graph

B) d(t) = 25t

C) The expression shows the distance more clearly.

Step-by-step explanation:

A) A distance time graph as seen in the attachment provides a representation of the distance travelled.

We are told the car travels at a constant speed of 100 meters per 4 seconds. Which means that 100 m for each 4 hours. So, for 200m, it's 8 hours like seen in the graph and for 300m,it's 12 hours as seen in the graph.

B) And expression for the distance is;

d = vt

Where;

d is distance in metres

v is speed in m/s and t is time

We are told that the car travels at a constant speed of 100 meters per 4 seconds.

Thus, v = 100/4 = 25 m/s

Distance travelled over time is;

d(t) = 25t

C) Looking at both A and B above, it's obvious that the expression of the distance shows a more clearer way of getting the distance because once we know the time travelled, we will just plug it into the equation and get the distance. Whereas, for the representation form, one will need to longer graphs if the time spent is very long.

6 0
3 years ago
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