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Lelechka [254]
3 years ago
10

Given f(x) 2^x -7 find the x intercepts

Mathematics
1 answer:
brilliants [131]3 years ago
7 0
Be sure to include the "=" sign:   <span>f(x) = 2^x -7 

To find the x-intercepts, set f(x) = 0 and solve for x:  2^x - 7 = 0,
or
2^x = 7

Take the common log of both sides:  x log 2 = log 7
                              log 7
Solve for x:     x = --------- = 2.81 (approx)
                               log 2

</span>
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Find the a26 arithmetic sequence: -15,-35,-55,-75<br> -515 <br> 460 <br> -490
Vlad [161]

Step-by-step explanation:

<h3><u>QU</u><u>ESTION</u><u>:</u><u>-</u></h3>

<u>Fin</u>d 26th term of the A.P --15,-35,-55,-75...

<h3><u>Solu</u><u>tion</u><u>:</u><u>-</u></h3>

First term=a=-15

Common Difference=d=-20

We know that

\boxed{\sf a_n=a+(n-1)d}

\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(26-1)(-20)

\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+25(-20)

\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15+(-500)

\\ \:\:\:\:\sf {:}\dashrightarrow a_{26}=-15-500

\\ \:\:\:\:\sf {:}\dashrightarrow {\boxed{\bf a_{26}=-515}}

6 0
3 years ago
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Answer:

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Step-by-step dpc fbsz

6 0
2 years ago
Please help, the questions just have to be simplified
dimaraw [331]
6c^2d^{-3}\ \times\ 3c^3d^{-4}=6\cdot3\cdot c^{2+3}d^{-3+(-4)}=18c^5d^{-7}=\frac{18c^5}{d^7}


\frac{-16p^6q^5}{20q^7}=-\frac{16}{20}p^6q^{5-7}=-\frac{4}{5}p^6q^{-2}=-\frac{4p^5}{5q^2}
8 0
3 years ago
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On average, a pair of bike tires can last 18 months if used every day. The length of time bike tires can last is exponentially d
aleksandr82 [10.1K]

Answer:

We conclude that eighty percent of bike tires last at most 14.4 months.

Step-by-step explanation:

We know that a pair of bike tires can last 18 months if used every day.

We calculate how much eighty percent of the tire will last in months.

We have the following proportion:

18:100\%=x:80\%\\\\100x=18\cdot 80\\\\100x=1440\\\\x=\frac{1440}{100}\\\\x=14.4

We conclude that eighty percent of bike tires last at most 14.4 months.

5 0
3 years ago
(I WILL GIVE BRAINLIEST) PLEASE HELP!!
Klio2033 [76]

Answer:

C. I,II,III

Step-by-step explanation:

Absolute value is the distance of a number from 0 on a number line. 6 is 6 units from 0, therefore this option is correct. -6 is 5 units to the left of 0, but it is still 6 units away, therefore this option is correct. 6 is 6 units away from 0, therefore, III is correct. But 0 is 0 units away from 0, therefore this option is incorrect.

6 0
3 years ago
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