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Vedmedyk [2.9K]
2 years ago
7

What is the slope? I will give brainliest

Mathematics
1 answer:
IgorC [24]2 years ago
6 0

Answer:

The rise over run is -1/2

Step-by-step explanation:

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(1/27)^x-6=27<br><br>Could I please have a step by step as well? Much appreciated! ​
Andrei [34K]

Answer:

x = 7

Step-by-step explanation:

1) Use Division Distributive Property: (x/y)^a = x^a/y^a.

\frac{1}{ {27}^{x - 8} }  = 27

2) Multiply both sides by 27^x - 8.

1 =  {27} \times 27^{1 + x  - 8}

3) Use the product rule: x^a x^b = x^a+b.

1 =  {27}^{1 + x - 8}

4) Simplify 1 + x - 8 to x - 7.

1  =  {27}^{x - 7}

5) Use Definition of Common Logarithm: b^a = x if and only if log<u>b</u><u> </u>(x) = a.

log_{27}1 = x - 7

6) Use Change of Base Rule.

\frac{ log_1  }{  log{27} }  = x - 7

7) Use rule of 1: log 1 = 0.

\frac{0}{ log_{27}}  = x - 7

8) Simplify 0/log_27 to 0.

0 = x - 7

9) Add 7 to both sides.

7 = x

10) Switch sides.

x = 7

<u>Therefor</u><u>,</u><u> </u><u>the</u><u> </u><u>answer</u><u> </u><u>is</u><u> </u><u>x</u><u> </u><u>=</u><u> </u><u>7</u><u>.</u>

5 0
3 years ago
Please show your work please
Nadusha1986 [10]
The correct answer is 4. 
5 0
3 years ago
You need gas for your car, and just as you are approaching where you normally get gas, the radio station announces that the Chea
schepotkina [342]

Answer: Yes

Step-by-step explanation:

Given that:

Distance from present location to CheapGas = 4 miles

Price of gas at CheapGas is $0.37 cheaper

Hence, the decision to make a U-turn back to CheapGas or continue on intended destination will rely on two factors ;

1) The number of gallons of gas to purchase

2) The cost of gas required to return to cheap gas.

If a substantial amount of gas is to be purchased, may be 50, 100 or more gallons, the amount saved by making a turn back to cheapGas and purchase gas at $0.37 cheaper per gallon.

8 0
2 years ago
A 12-foot board rests against a wall. The angle that the board makes with the ground is 60°. How far is the base of the board aw
denis-greek [22]

Answer:

A. cos 60° = ; x = 6 feet

Step-by-step explanation:

apex

7 0
2 years ago
Read 2 more answers
Which linear equation is represented by the table?<br><br> x −2 1 3 6<br> y 7 4 2 −1
n200080 [17]

Answer:

help calll me daddy

Step-by-step explanation:

8 0
2 years ago
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