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olga_2 [115]
3 years ago
11

-4x+7=11 I need some to explain

Mathematics
2 answers:
oee [108]3 years ago
5 0
-4x+7=11\\
-4x=4\\
x=-1
Sonbull [250]3 years ago
4 0
-4x+7=11\ \ \ \ \ \ \ \ \ \ |x's\ on\ the\ left\ free\ numbers\ on\ the\ right\\-4x=11-7\\-4x=4\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |:(-4)\ both\ sides\\x=-1
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Help please thank you
lara31 [8.8K]

One of the rules of logarithms is as follows;

\begin{gathered} \log _ab=x \\ Is\text{ equivalent to,} \\ a^x=b \end{gathered}

We can now insert the corresponding values in the question provided, as shown below;

\begin{gathered} \log _2\frac{1}{16}=-4 \\ \text{This is equivalent to,} \\ 2^{-4}=\frac{1}{16} \end{gathered}

Note that, one of the rules of exponents, states that a number when raised to the power of a negative value, is equivalent to the reciprocal of that expression. An example is shown below;

a^{-x}=\frac{1}{a^x}

Therefore, our equation can now be re-written as follows;

\begin{gathered} 2^{-4}=\frac{1}{16} \\ \frac{1}{2^4}=\frac{1}{16}^{} \\ \frac{1}{16}=\frac{1}{16} \end{gathered}

However, the question requires the answer to be expressed in exponential form. Therefore,

\log _2\frac{1}{16}=2^{-4}

4 0
2 years ago
PLEASE HELP!<br> IMAGE DOWN BELOW!
ankoles [38]

Answer:

1. 11t

2.7w+28

3. 2c+11

4. 8n

5. 10r+15

6. 24−8g

7. 17d−9

8. 8g+7z

9. 23b

10. 2rs+1

11. 9f+9g

12. 4x+y

13. 21a+14

14. 21a+14

15. 6−3k

16. 18n+36

17. 9s+3t

18. 8a−12b

19. 11m+n

20. 2+6z

21. 8x+6y

22. 7hg−7

23. 4st+5

24. 2r+17

25. 7w+6

26. 3(c+2)

27. 8f−4g

28. 2+8q+3r

Step-by-step explanation:

there you go, sorry it took so long

6 0
4 years ago
The initial mass of a certain species of fish is 6 million tons. The mass of​ fish, if left​ alone, would increase at a rate pro
Phoenix [80]

Answer:

Step-by-step explanation:

Check attachment for solution

7 0
3 years ago
Let f(x) = 36x^5 − 44x^4 − 28x^3 and g(x) = 4x^2. Find f of x over g of x.
jenyasd209 [6]

Answer:

9x³ - 11x² - 7x

Step-by-step explanation:

(36x⁵ − 44x⁴ − 28x³)/4x²

(36x⁵/4x²) - (44x⁴/4x²) - (28x³/4x²)

9x³ - 11x² - 7x

3 0
3 years ago
Rectangle R was dilated to form rectangle R prime. Rectangle R has a length of 8 and width of 4. Rectangle R prime has a length
qwelly [4]

Answer:

5/2

Step-by-step explanation:

20/8= 10/4=5/2

5 0
3 years ago
Read 2 more answers
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