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zysi [14]
3 years ago
6

Evaluate \dfrac13m-1-\dfrac12n

Mathematics
1 answer:
romanna [79]3 years ago
7 0

Answer:

The expression is equal to zero for the given values

Step-by-step explanation:

<u><em>The correct question is</em></u>

Evaluate start fraction, 1, divided by, 3, end fraction, m, minus, 1, minus, start fraction, 1, divided by, 2, end fraction, n   when m=21 and n=12

we have the expression

 \frac{1}{3}m-1-\frac{1}{2}n

we know that

To evaluate the expression substitute the given values of m and n

For m=21 and n=12

\frac{1}{3}(21)-1-\frac{1}{2}(12)

solve the multiplications

7-1-6

solve the subtraction

7-7\\0

therefore

The expression is equal to zero for the given values

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3 years ago
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Decompose 3p-1/p^2-1 into partial fractions.
allsm [11]

Answer: \frac{2}{p+1}+\frac{1}{p-1}

Step-by-step explanation:

Decompose the denominator.

p^2-1=(p+1)(p-1)

So, 3 has to be multiplied by p-1 and p+1 has to be multiplied by 1.

5 0
3 years ago
Ordered pair of 5x-6y=30
mixer [17]
(6,-5)

5x-6(0)=30
5x=30
5x/5= 30/5
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5(0)-6y=30
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3 0
3 years ago
DESPERATE PLEASE ANSWER FAST
Nonamiya [84]

Answer:

DESPERATE PLEASE ANSWER FAST

(please show picture)

Use the data to create a scatter plot.

Savings Account Balance for a Given Year

PointMove

UndoRedoReset

Time (years)Savings account balance ($)

1

2

3

4

5

6

7

8

9

10

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

2400

2600

2800

3000

3200

3400

3600

3800

4000

4200

0

Time (years)

Savings account balance ($)

1

1300

2

2500

3

3600

4

4000

5

2200

6

1800

7

3200

8

9000

Step-by-step explanation:

DESPERATE PLEASE ANSWER FAST

(please show picture)

Use the data to create a scatter plot.

Savings Account Balance for a Given Year

PointMove

UndoRedoReset

Time (years)Savings account balance ($)

1

2

3

4

5

6

7

8

9

10

200

400

600

800

1000

1200

1400

1600

1800

2000

2200

2400

2600

2800

3000

3200

3400

3600

3800

4000

4200

0

Time (years)

Savings account balance ($)

1

1300

2

2500

3

3600

4

4000

5

2200

6

1800

7

3200

8

9000

4 0
3 years ago
What is the value of h when the function is converted to vertex form?
Dmitrij [34]

Answer:  The value of 'h' is 3.

Step-by-step explanation:  Given that the vertex form of a function is given by

g(x)=a(x-h)^2+k~~~~~~~~~~~~~~~~~~~~~~~~(i)

We are to find the value of 'h' when the following function is converted to the vertex form.

g(x)=x^2-6x+14~~~~~~~~~~~~~~~~~~~~~~(ii)

From equation (ii), we have

g(x)=x^2-6x+14\\\\\Rightarrow g(x)=x^2-2\times x\times 3+3^2-3^2+14\\\\\Rightarrow g(x)=(x-3)^2-9+14\\\\\Rightarrow G(x)=(x-3)^2+5.

Comparing it with the vertex form (i), we get

h=3.

Thus, the value of 'h' is 3.

4 0
3 years ago
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