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mixas84 [53]
3 years ago
15

7^5 • 7^6 as a single exponent

Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
Keep the base the same and add your exponents 7^11
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While grading her students' most recent quiz on equation solving, Mrs. Jones calculated that approximately forty percent of her
EastWind [94]

The given equation is,

3(-n+4)+5n=2n

Part 1:

Solve the above equation for n.

Using distributive property of multiplication,

\begin{gathered} -3n+3\times4+5n=2n \\ -3n+12+5n=2n \end{gathered}

Now, group the like terms.

-3n+5n-2n+12=0

Now, add the like terms.

\begin{gathered} -5n+5n+12=0 \\ 0=-12 \end{gathered}

0=-12 is a false statement.

Since we obtained a false statement, the given equation has no solution.

So, option b is correct.

Part 2:

The option (a) is n=3.

If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.

The option (b) is "no solution".

While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.

The option (c) is "infinitely many solutions".

While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.

8 0
10 months ago
What are the amplitude, period, and phase shift of the given function? f(t)=-2/3 cos (3t-3pi)
dybincka [34]

Answer:

amplitude; \frac{2}{3}

Phase shift; \pi units right

Period;\frac{2\pi}{3}

Step-by-step explanation:

The given function is

y=-\frac{2}{3}\cos(3t-3\pi)

This function is of the form;

y=A\sin (Bt+C)

The period is given by:

|A|=|-\frac{2}{3}|= \frac{2}{3}

The period is given by:

T=\frac{2\pi}{|B|}= \frac{2\pi}{|3|}=\frac{2\pi}{3}

The phase shift is given by;

\frac{C}{B}=\frac{-\3pi}{3}=- \pi or \pi units right.

4 0
3 years ago
The steps below show the incomplete solution to find the value of m for the equation 5m − 2m + 4 = −1 + 12: Step 1: 5m − 2m + 3
Delicious77 [7]

Given:

Consider the equation is:

5m-2m+3=-1+12

Some steps of the solution are given.

To find:

The next step of the solution.

Solution:

Step 1: The given equation is:

5m-2m+3=-1+12

Step 2: Simplifying right hand side.

5m-2m+3=11

Step 3: Simplifying left hand side.

3m+3=11

These steps are already given. So, the next step is:

Step 4: Subtracting 3 from both sides.

3m=8

Therefore, the correct option is (b).

8 0
2 years ago
If you want a tutor I will help for free
Dimas [21]
What kind of subject do you tutor in ? c:
8 0
3 years ago
Read 2 more answers
Can someone help me with these functions
ryzh [129]

Answer:

Function 1:

The starting point is (0,0.5)

As x increases, y increases

Function 2:

The starting point is (0,3)

As x increases, y decreases

Step-by-step explanation:

In order to find the starting point, we need to plug in x=0.

y=0.5+3(0)\\\\y=0.5

y=3(0.5)^0\\\\y=3(1)\\\\y=3

As we plug in increasing numbers into function#1, the y-value increases

As we plug in increasing numbers into function #2, the y-value is decreasing

3 0
3 years ago
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