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3 years ago

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

1 answer:

7 0

Be sure to include the "=" sign: 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

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Find the a26 arithmetic sequence: -15,-35,-55,-75 -515 460 -490

Vlad [161]

Step-by-step explanation:

<h3>QUESTION:-</h3>

Find 26th term of the A.P --15,-35,-55,-75...

<h3>Solution:-</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

IM2: 4.2.3, 4-86 d Solve for X

krek1111 [17]

Answer:

s v [tw9rg

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

Read 2 more answers

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

Read 2 more answers