Select the correct answer.
which statement is correct with respect to f(x) = -3|x − 1| + 12?

a.
the v-shaped graph opens upward, and its vertex lies at (-3, 1).

b.
the v-shaped graph opens downward, and its vertex lies at (-1, 3).

c.
the v-shaped graph opens upward, and its vertex lies at (1, -12).

d.
the v-shaped graph opens downward, and its vertex lies at (1, 12).

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.  

sorry for any inconvenience this may have caused try again

try again.

1. 28 over 9

2. i don't know this i'm sorry : (

3. 19, because the number of books is 95 over 4 divided by 5 over 4

4. 7 and 1 over 3 divided by 1 over 6

5. 9.5

6. $124

7. 2 over 9

8.   (−$8) ⋅ 12

9. -67.2

10. $ 170.00

11. -27 feet

12. 5.7 with bar over 7

hope i !