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Sphinxa [80]
3 years ago
6

CAN SOMEONE HELP ME PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ

Mathematics
1 answer:
Anettt [7]3 years ago
7 0
The LCD is the product of (x -2)(x + 1)
To clear the fractions, multiply each term by the part of the LCD that the denominator is missing.
x(x + 1) + (x - 2)(x - 1) = -1(x - 2)(x + 1)
Distribute and foil, then combine like terms.
x^2 + x + x^2 - 3x + 2 = -x^2 + x + 2
2x^2 - 2x + 2 = -x^2 + x + 2
add x^2 to both sides
3x^2 -2x + 2 = x + 2
subtract from both sides
3x^2 - 3x + 2 = 2
subtract 2 from both sides.
3x^2 - 3x = 0
Factor out the GCF
3x(x - 1) = 0
Set each factor equal to zero and solve.
3x = 0      x - 1 = 0
x = 0        x = 1
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How many solutions does the equation 6y - 3y -7 = -2 +3 have?
kenny6666 [7]

Answer:

6y - 3y - 7 = -2 +3

Simplify both sides:

3y -7 = 1

Add 7 to both sides:

3y = 8

Divide both sides by 3:

y = 8/3 = 2 2/3

There is only one solution.

8 0
3 years ago
3
il63 [147K]

Answer:

15

Step-by-step explanation:

5 0
3 years ago
The number of bacteria in a refrigerated food product is given by N ( T ) = 22 T 2 − 123 T + 40 , 6 < T < 36 , where T is
antoniya [11.8K]

Answer:

N(T(t)) = 1408t^2 - 385.6t - 105.52

Time for bacteria count reaching 8019: t = 2.543 hours

Step-by-step explanation:

To find the composite function N(T(t)), we just need to use the value of T(t) for each T in the function N(T). So we have that:

N(T(t)) = 22 * (8t + 1.7)^2  - 123 * (8t + 1.7) + 40

N(T(t)) = 22 * (64t^2 + 27.2t + 2.89) - 984t - 209.1 + 40

N(T(t)) = 1408t^2 + 598.4t + 63.58 -  984t - 169.1

N(T(t)) = 1408t^2 - 385.6t - 105.52

Now, to find the time when the bacteria count reaches 8019, we just need to use N(T(t)) = 8019 and then find the value of t:

8019 = 1408t^2 - 385.6t - 105.52

1408t^2 - 385.6t - 8124.52 = 0

Solving this quadratic equation, we have that t = 2.543 hours, so that is the time needed to the bacteria count reaching 8019.

4 0
3 years ago
Mindy is 36 years old. Mindy’s age is 3 years older than two times Jake’s age. Let j represent Jake’s age.
I am Lyosha [343]
J=30          !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
6 0
3 years ago
Read 2 more answers
2
Sati [7]

Answer:

176 mm

Step-by-step explanation:

The circumference of a circle is the perimeter of a circle (length of a circle). The circumference of a circle is given as:

Circumference (C) = 2πr = πd, where d is the diameter

The circumference of a circle with diameter 7 mm is:

C = πd = 22/7(7) = 22 mm

The length of the paper to round the cylindrical pencil is the same as the perimeter of the pencil which is 22 mm.

To round the pencil 8 times, the length of the paper needed = 8 × 22 mm = 176 mm

6 0
3 years ago
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