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mart [117]
4 years ago
12

7^-1+9^-1, how do you solve this exponent equation?

Mathematics
1 answer:
Lorico [155]4 years ago
5 0
Raising to a negative power just makes the base value into a fraction

For example, x^-1 turns into (1/x^1)

This means that your equation goes from
7^-1+9^-1 to (1/7)+(1/9)

1/7+1/9 simplifies to 16/63 after all of the common denominator stuff

So, in short 7^-1+9^-1 = 16/63
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The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 se
m_a_m_a [10]

Answer:

senior citizen tickets are $10 and child tickets are $8

8 0
3 years ago
Read 2 more answers
The equation of a circle is x2+y2−12x+6y+20=0 .
Rufina [12.5K]

Answer:

The radius is r=5 units

Step-by-step explanation:

we know that

The equation of the circle in standard form is equal to

(x-h)^{2}+(y-k)^{2}=r^{2}

where

(h,k) is the center and r is the radius

we have

x^{2}+y^{2}-12x+6y+20=0

Convert to standard form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x^{2}-12x)+(y^{2}+6y)=-20

Complete the square twice. Remember to balance the equation by adding the same constants to each side

(x^{2}-12x+36)+(y^{2}+6y+9)=-20+36+9

(x^{2}-12x+36)+(y^{2}+6y+9)=25

Rewrite as perfect squares

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

therefore

The center is the point (6,-3) and the radius is r=5 units

8 0
3 years ago
A motorboat travels 172 km in 3 hours going upstream and 372 in 4 hours going downstream. What is the rate of the boat in still
torisob [31]

Answer:

<em>The rate of the boat is 75.17 km/h and the rate of the stream is 17.83 km/h</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's call:

B = speed (rate) of the boat in still water

S = speed (rate) of the stream

The boat travels 172 km in 3 hours when going upstream, that is when the speed of the stream subtracts its own speed. The speed is the distance divided by the time, thus:

\displaystyle B-S=\frac{172}{3}

Multiplying by 3:

3B - 3S = 172        [1]

The boat travels 372 km in 4 hours downstream when the speed of the current adds to its own:

\displaystyle B+S=\frac{372}{4}=93

B + S = 93

Solving for B:

B = 93 - S       [2]

Substituting in [1]

3(93 - S) - 3S = 172

Operating:

279 - 3S - 3S = 172

279 - 6S = 172

Subtracting 279:

- 6S = 172 - 279

- 6S = -107

Multiplying by -1 and solving for S:

S = \frac{107}{6}\approx 17.83\ km/h

From [2]:

B = 93 - \frac{107}{6}

B=\frac{451}{6}\approx 75.17\ km/h

4 0
3 years ago
Round $650 to the nearest hundred and multiply that amount by 7%.
Lunna [17]
The answer will be 49
because 650 will be rounded up to 700 then multiply that by 7% which gives you 49
6 0
3 years ago
Read 2 more answers
Math Solve the equation:-
Katena32 [7]

Answer:

y = -27

Step-by-step explanation:

  • Multiply the entire equation by 6

         \sf 6*\dfrac{y+1}{3}-6*\dfrac{3y-1}{6}=6*5\\\\\\

             2*(y + 1) - (3y - 1 )    = 30

  •  Multiply (y +1) by 2 and (3y - 1) by (-1)

          2y + 2 - 3y + 1 = 30

  • Isolate y term by taking the constant term to RHS

                  2y - 3y = 30 - 2 - 1

  •  Combine like terms

                        -y      = 27

                             y = -27

3 0
2 years ago
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